diff --git "a/data/dm_maths/full_data_2/11016_11255.jsonl" "b/data/dm_maths/full_data_2/11016_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11016_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p = 9 + 46. Let m = p - -46. List the prime factors of m.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 3 + (sqrt(5) - (0 + sqrt(125))) + 5 - (1 + sqrt(180) - sqrt(5) - (-1 + sqrt(180))))**2.\nAnswer: -24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724092 is divided by 512?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69389, -137105, -204821?\nAnswer: -272537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 6:46 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 225 - 149 = 0. Let k be ((-18)\/15)\/((-6)\/20). Let l be 70\/k - 2\/4. Calculate the highest common factor of n and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-84))\/(3\/90))\/((-72)\/48)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.2 (b) 2\/83 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:37 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (12 + 11 - 2) + -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 533 - 596 = 21*r, 0 = -3*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 11*n. What is the nearest to 5 in -0.3, n, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*w**3 - 40485*w**2 + 3900*w - 4 wrt w?\nAnswer: 42*w - 80970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -41, -137, -315, -599?\n\"Answer: -4*m**3 - 5*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**15)**(-2\/145)\/(a**(-32))**20 assuming a is positive.\nAnswer: a**(92828\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207244 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -61*p + 36. Does 7 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*k = 369*k + 496944. List the prime factors of k.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26532 and 10.\nAnswer: 132660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -19. Let p = -2.43 - -3.43. Do p and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8*(0 - 1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*j + 3*b = -123*j - 18, -2*j - b - 1 = 0. Solve -3*z + 2*q = -10, 2*q - 17 = -j*z - 3*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354814 is divided by 17739.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 955 and 356502073.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2251, -0.3, 5, 0.5.\nAnswer: -0.3, 0.5, 5, 2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tma. What is prob of sequence atm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - q + 12, -2*w + 157*q - 8 = 152*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -6 (c) -1273 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 993487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = g - 51, 3*g = -0*j + 4*j - 117. Let k be 4\/18 - (-129)\/j. Suppose -p + 12 = 5*h, -15 = -p + k*p - h. Which is greater: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -79)*3\/(-9). Let q = 289 + c. Suppose 0 = -2*a - 3*a + q. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-10)\/(-8))\/5)\/(156\/(-1040)). Which is the third smallest value? (a) -4\/11 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3)*3\/2. Let g = 49422 + -49341. Calculate the remainder when g is divided by 498\/12 - (-2)\/v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyvvqydyvqvqh. What is prob of picking 1 q and 2 v?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4013983032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43138.\nAnswer: 2, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, 1 w, and 1 k when four letters picked without replacement from {z: 1, y: 3, w: 1, k: 3, u: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992735241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223576.5 years to decades.\nAnswer: 22357.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/7*h + 12\/7*h**3 - 16\/7 - 40\/7*h**2.\nAnswer: 4*(h - 1)**2*(3*h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d = -61*d + 30. Suppose -5*i = 3*r - 6200, 0 = 4*i - d*r - 1720 - 3218. What are the prime factors of i?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6886883 + -6886882.80000014. Let n = 0.3 + -0.1. Let l = s - n. What is l rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 47*d + 40*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*a = -58, -40*l - 3*a = -35*l - 61. Let g be 2\/((-2)\/(-6)*1). What is the remainder when (g\/12)\/(1\/50) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/6 - 2*s**3\/3 - 11*s**2\/2 + 3*s - 3. Let l be r(4). Solve -l*k = -4*y + 22, -5*k + 5*y - 27 = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45989.\nAnswer: 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 + 4. Let v be h(-4). Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 225*q**2 + 11368*q + 41808.\nAnswer: -(q - 268)*(q + 4)*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1225, -2573, -3925, -5281, -6641, -8005?\nAnswer: -9373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*s**3\/5 + 25236*s**2 - 168204*s\/5 + 56064\/5.\nAnswer: -3*(s - 4672)*(3*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1060*g - 542*g - 576*g)*(-2*g**2 + g**2 - 3*g**2)*(-2*g**2 - 3 + 3).\nAnswer: -464*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3 - 5 + 5 + 4*m. Let q be a(-1). Let y = 502\/5 - 2011\/20. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -47, 4, 3341?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**7\/105 + 23*n**5\/30 + n**4\/24 - 17*n**3\/2 - 75*n**2 - 2. Find the second derivative of t(y) wrt y.\nAnswer: 24*y**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/8975 and -47\/2154.\nAnswer: 53850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 + -191. Suppose 3*y - 3 + 0 = 0. Sort y, 4, s in increasing order.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 8*t + 194. Let c be k(11). Let o be 0\/(8\/(-8)) - 24\/c. Determine y so that -9\/5*y**2 - 1\/10*y**4 + 4\/5*y**3 - 1\/2 + o*y = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83*(-51)\/(-228582)*72\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*(-5 + 5). Solve n*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*n**2 + 1595*n + 840.\nAnswer: -5*(n - 7)*(49*n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826606 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28410 + 28410 + 11*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 81\/18*2\/3. Solve x - 21 = -5*t, x - d = -t - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/(-3) + (-4)\/6. Let n = v + -14. Solve 5*r - r - n = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12 and -187\/24618960.\nAnswer: 24618960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 509767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -6 - (-119 - 13)\/11. Let h(c) = 3 - c + 5 + c**2 - 8*c. Give h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 1) + -1 + 7. Suppose -3*s + q = -r, -5*s + 3*r + 25 - 3 = 0. Differentiate -2*w - 2*w - 17 - s*w + 22 with respect to w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*p**5 - 498414*p**2 - 13677176*p + 2 wrt p?\nAnswer: 420*p**3 - 996828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 8358 = 29*n. Suppose 0*p = 2*p - 4*x - 1980, -4910 = -5*p + 2*x. Let v = n - p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 2\/9, 0.1, -2, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -83*w**3 - 6*w**2 + 8*w - 6. Give k(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8120*k*l + 156689109*k - 7414*l wrt l?\nAnswer: -8120*k - 7414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*l + 24. Suppose l*u - 24 = -0*u. Is -526*(9\/u + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5000*g**3 + 10012*g**3 - 1 - 3*g**2 - 5044*g**3 - 3*g + (2 - 1 - 3)*(-2*g**3 - 2*g**3 + 6*g**3) - 3*g**3 + g**3 + 0*g**3.\nAnswer: -38*g**3 - 3*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2199676 or -1?\nAnswer: -2199676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*b - 666 + 432 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 46832308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385 and 1145.\nAnswer: 88165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -318619 and -318610 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {n: 2, b: 3, c: 4, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -100011101?\nAnswer: -100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 + -1 - -2) + -9819 + 9793?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296042 is divided by 6884.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-5872)\/(-28626).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1511*b**2 - 8*b - 1. Let w(h) = 2266*h**2 + 11*h + 1. Let i(t) = -8*c(t) - 5*w(t). Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 5, m: 5, o: 1, p: 3}. What is prob of picking 1 p, 1 o, and 1 a?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = -15. Suppose 186 - 50 = p*i. What is the greatest common divisor of i and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:01 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5250 and 448028.\nAnswer: 168010500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -1386, -3102, -5514, -8628, -12450, -16986?\nAnswer: -22242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*h - 17, -4*h + 559*w - 13 = -9*h + 557*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -7*n**5\/20 + n**3\/6 - n**2 - 22*n + 4. Let k(u) = -27*u**3 + 5*u - 9. Determine -9*f(j) + 2*k(j).\nAnswer: 9*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21307872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1567, 12\/23, -3, 0.3, 1\/5, 1\/8?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 97*u - 189. Let b be t(2). Suppose 6*p = p. Solve 0*o - 2*o - 10 = b*x, p = -2*o + 2*x + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46047*q - 30 = -46075*q + 38 - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 476579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuvjjvuvk. Give prob of sequence jvk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4629\/4 + (-4)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-3)*(-7 + 4). Suppose q*g - 11*g = -104. What is the greatest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.354510023 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78646690 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = 110*t + 265 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2, -0.2, 4\/11 in ascending order.\nAnswer: -0.2, -2\/13, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:24 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496 by -8.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1846 divided by 71\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -16*f**2 - 226*f - 899. Determine h(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102746*-20.4.\nAnswer: 2096018.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 6*g = b, 0 = g - b. Let c = 5 + -3. Suppose -5*j + c*o + 33 = g, 2*j - o - 20 = -j. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujono. What is prob of sequence no?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56720772 and 5508?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.62, 0, 0.19, -40, 4, -4?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*q**2 + q + 48*q**2 + 13*q)*(-1 - 1 + q + 0).\nAnswer: q**3 + 12*q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 - (4 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1.04.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/503 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 26, 1\/103, 5, 0.\nAnswer: 0, 1\/103, 5, 26, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 1 - 1 + 1 - 7 + 21*n.\nAnswer: -3*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**6 - 1781*k**3 + 28849*k**2 wrt k?\nAnswer: 360*k**3 - 10686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -32.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-15)\/(-25))\/1. Is 0 - (0 + (j - 250)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j*x**3 + 45*j*x**2 + j - 112 wrt x.\nAnswer: -21*j*x**2 + 90*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*j - 0*p + 2*p, 5*j = 2*p - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*d - 15416 = -1304. Which is bigger: d or 134?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230805 + 126591. Let g = 357432.9943 - c. Let b = 37 - g. What is b rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10343, 22192, 35555, 50432, 66823, 84728, 104147?\nAnswer: 125080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvrq. What is prob of picking 1 r, 1 v, and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 32\/(-17))*41\/((-1107)\/81).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 - 123*r)*(-r**4 + 0*r**4 - r**3 + 0*r**4).\nAnswer: 123*r**5 + 123*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -6465130, 2\/3 in ascending order.\nAnswer: -6465130, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 11:42 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 4\/13 (c) 15\/26 (d) -1\/4 (e) -2\/199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*c = 388*c - 779*c + r - 108, -4*c = 6*r + 122 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(-3)*u*u*u\/(u\/(u**(-11)\/u)*u)*u*u**0)**40 assuming u is positive.\nAnswer: u**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2801000 to the nearest ten thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(12)*-1)\/(sqrt(6)*2*-6)*1 + 5)**2.\nAnswer: 5*sqrt(2)\/3 + 451\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306330429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -28. Is 1.72 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.167 + 0.167. Let o = -0.01 - 0.59. Which is the second smallest value? (a) o (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/19249 and -17\/11.\nAnswer: 211739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = i - 3*c, -4*c - 10 = 3*i + 3. Suppose 33 + 0 = 3*t - 4*l, 5*l - 22 = -2*t. Let n = t - i. Solve -n = 5*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033594?\nAnswer: 2, 271, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 - 30*k - 118. What is f(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -236, -234, -228, -218, -204, -186, -164?\n\"Answer: 2*r**2 - 4*r - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20342767 is divided by 884468.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 534923143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 1, b: 2, k: 1, d: 1, c: 1}. Give prob of picking 1 j, 1 b, 1 d, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376661 + -79344. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**3 + 13\/60*p**6 - 1\/9*p**5 + 4\/315*p**7 + 0*p**4 + 59*p**2 + 0*p + 0. Determine l, given that d(l) = 0.\nAnswer: -10, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + b + 19 = 0, b = w - 3. Solve w*u - 4 - 19 = -5*g, -3*u - 4*g + 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - z - 5)*(z + 1 - 1) + 1322*z - 1322*z - 1 + 40*z**2 as a*z**2 + d + i*z and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 20*m. Let n be r(-21). Let g be ((-1)\/(-2))\/(2\/84). Is g less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -0.18. Let m = k - 0.2. Which is the smallest value? (a) 1\/4 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*j + 12168 = 540*j - 9340 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:09 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-4)\/(-18)*33\/2. What is the closest to -2\/15 in -1, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -0.16 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6943\/9260 - 1\/4630. Which is the biggest value? (a) 6.4 (b) 0.8 (c) f (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291894 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(2 + 1 - 5) - 2*p - 4*p + 4*p + 5*p + 7*p + 8*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 173236 divided by 2?\nAnswer: 86618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 - 3 = 0. Let h be 21\/t + 0\/1. Let i(x) = 2*x + 15. Let z be i(-6). Calculate the greatest common factor of z and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 59735991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27866*x - 55732. What is u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = a + 12, -5*a = 4*y - 14 - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbbbbbp. Give prob of picking 2 b.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -40. Let g = -1 + f. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 1. Let g(u) = -2*u**2 + 3*u + 6. Calculate -g(d) - 6*m(d).\nAnswer: 8*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 5, 6, -564\/11, -15\/11, -5, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + 2*l + 1511*l**4 - 8*l**3 - 2 - l**3 - 1512*l**4 to the form o + z*l + f*l**3 + m*l**2 + d*l**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - 2*d - 10. What is p(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -51. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 32 = -40. Suppose 0 = 2*j - 3*h - 10, 5*h + x = 5*j - 26. Solve 2*t - 6*t = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 736070 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/7 - (-2)\/7. Let f(r) = -r**3 + 3*r**2 + 4*r - 2. Let a be f(x). Let s(c) = -4*c - 3. What are the prime factors of s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 37. Let n be ((-18)\/30)\/((-1)\/q). What is the highest common divisor of n and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*p + 62. Let a(w) = -w**2 - w + 3. Let o be a(0). Is o + (2 + p - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 20. Let x be f(27). Suppose 0 = -x*w + 25*w - 180. Suppose 3*h + 2*s = 28, -2*h + w = -h + s. Solve -3*j + 26 = -h*j - 2*a, a - 13 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -256, 3, -4 in descending order.\nAnswer: 3, -4, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/10 and 113\/396.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412*s - 905*s + 1668*s.\nAnswer: 2175*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1024.\nAnswer: 1\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 39 = -63*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 2*l**2 - 3*l + 2. Let m be f(2). Let b be (3 - 45\/m)*-4. Suppose 4*z - 5*y - 9 = 29, 5*y - 46 = -b*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*f + 5, 6 + 0 = -2*f - 4*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120446 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -2\/15*n**6 + 1\/10*n**5 + 0*n**2 + 0*n**4 + 0*n**3 + 1\/21*n**7 - 3*n + 0. Factor q(i).\nAnswer: 2*i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*n + 5, -2*n + 23 = 4*a + 1. Find the first derivative of -47 + 13*m**2 - 38*m**2 - n*m + 22*m**2 wrt m.\nAnswer: -6*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/30)\/(1\/6). Suppose 0 = 2*m + 2*m. What is the second derivative of 1 + m*l**4 - 3*l - l**v - 1 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 16*v + 20. Let y be a(17). Let g(k) = -k**3 - 21*k**2 + 6. Let d be g(-21). Let s = y - d. Let o(u) = u**3 + 4*u**2 + 2*u + 4. Give o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*o + 56*o - 11 = -37*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 742135950 rounded to the nearest 100000?\nAnswer: 742100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9756 (base 10) to base 11.\nAnswer: 736a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 0.33\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -5.9941.\nAnswer: -4.19587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 + (-2)\/3. Let o be (-42)\/(-12) + v\/(-2). Suppose -100 = -2*z - z + 5*t, -88 = -o*z - t. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {g: 1, v: 3, y: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h**2 + h. List the prime factors of v(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 (base 14) in base 6?\nAnswer: 22421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202997 - 113370. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 67*g**7\/42 + 31*g**3\/2 + g + 64. Find the second derivative of v(a) wrt a.\nAnswer: 1340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3062 or 2838?\nAnswer: 3062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809688 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 737\/22 + 7\/2. Let s be n\/(-13) + (-26)\/169. Let l(f) = 2*f**3 + 8*f**2 + 4*f - 1. Calculate l(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 + 353 = 3*k. List the prime factors of k.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -4, 5, 39 in decreasing order.\nAnswer: 39, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 28*c + 3. Let o(p) = 160*p. Calculate o(r(k)).\nAnswer: 4480*k + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by -129?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1564\/5, 4, -3\/4, -0.1, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5499496.\nAnswer: 2, 687437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 0.1, -5, 4\/3.\nAnswer: -5, -0.4, 0.1, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*t + 4 = 0, 3*t + 8 = -d - 1. Calculate the remainder when 117 is divided by -8 + d + 35\/1 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -964 - -2733. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17286 (base 9) to base 13.\nAnswer: 5559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.1 and -0.05?\nAnswer: 9.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 200122 (base 4) to base 5\nAnswer: 31244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/40)\/((-3)\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 2:33 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 6*u + 6. What is n(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/3, 0.13, 1.5, 2\/185, -2\/9?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4441803*g**2*m**3 + 8*g**2 - 96*g - 77 wrt m?\nAnswer: 13325409*g**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1514854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 636613.8 months in millennia?\nAnswer: 53.05115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -498045, -996320, -1494595, -1992870?\n\"Answer: -498275*z + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 5 in descending order.\nAnswer: 5, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = a + 27, -5*r + 3*a - 111 = -10*r. Suppose 4*c = r - 8. Solve z - 3*z + j = -8, -z = -3*j - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-176)*4 + 4226\/22. Calculate the highest common divisor of 864 and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018928*0.04.\nAnswer: 0.00075712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)\/sqrt(6) + (sqrt(10) - (-1*sqrt(60))\/sqrt(6)))\/((-5*(sqrt(242) + sqrt(242)*1) + sqrt(242))*-4).\nAnswer: sqrt(5)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/206*13\/(351\/(-18)). Which is greater: 0.2 or k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*4*((sqrt(468) - (sqrt(468) - 4*(sqrt(468) + sqrt(468)*2))) + sqrt(468)*1*-2))**2*5.\nAnswer: -38400*sqrt(13) + 59904080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 138640000 to the nearest one million.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603.757 rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 42343+-2542\nAnswer: 39801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 195329745 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*t**2 - 1369 - 2009*t**2 + 1369.\nAnswer: -1212*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let t = 0.6 - -0.4. Let w = 0 - t. Sort -2\/9, w, f.\nAnswer: w, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sccucxuuccccuu. Give prob of sequence uus.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and 0.046.\nAnswer: 0.1702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from rrrlgqrgrrggxgxgrr?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -19. Suppose 4 = 4*o, -3*l + o + 79 + 274 = g. Suppose -62 = -4*d + l. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = 4*p, 1 = 4*p + 3*u + 15. Let w = -1472 + 1474. Let k = -373 - -372.5. Which is the biggest value? (a) w (b) p (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1119*b**2 - 2*b + b - 1141*b**2 as a*b**2 + p*b + h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13111 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*b + 5, -5*q + 1 = -5*b + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -21. Suppose 4*j = 3*l + 6*j + 3, -l + 5*j + 16 = 0. Let r = -0.6 + 0.1. What is the closest to l in r, u, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1552)\/(-291)*((-54)\/8)\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -33108277?\nAnswer: 9932483.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*v - 6 = 12, -u - 3*v - 13 = 0. Suppose 3*d + 66 = 6. Let n be 10\/15 - d\/(-27). Does n = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40640 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + 141. Suppose m = h - 0*p - 3*p, 661 = 4*h - 5*p. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:02 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7863?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38236 - 37018 = 158*n - 70514 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1362 - 8117\/6. Let v = 10 - w. Factor v*s**2 + 1\/3 + 7\/6*s.\nAnswer: (s + 1)*(5*s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 10. Calculate p(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - -0.27. Which is the nearest to -0.1? (a) p (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-621)\/48 - -11 and -179\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220030003 (base 4) to base 6.\nAnswer: 13051415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -97*n**7\/7 - 2*n**3\/3 + 34*n + 65. Find the third derivative of x(o) wrt o.\nAnswer: -11640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*g + 40, 24 = -2*g + 14 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5321 - 27659109\nAnswer: -27659108.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = -55. What is the first derivative of -10*z**2 + 6*z**2 + 11 - 8*z**2 + p wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -12, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32890.41889 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3092 + 27754\/9. Let n be (1166\/14 - 0) + 1. Let a = 85 - n. Calculate the common denominator of h and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1368\/4617*(-3)\/2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35080 - -58923. List the prime factors of c.\nAnswer: 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10062968, -20125935, -30188902, -40251869, -50314836, -60377803?\nAnswer: -70440770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1621*b - 322*b - 1041*b - 229*b + 559*b to i + t*b and give t.\nAnswer: -2654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + (0 - 2) + 4. Let q = 32 + k. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905229389*r + r**2 - 905229389*r - 19*r**3.\nAnswer: -19*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 26) + -72 + 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10586, -43118, -97336, -173246, -270854, -390166, -531188?\nAnswer: -693926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/71)*m*m\/m**(-33))\/((m\/m**(-1\/23))\/(m**(-14\/9)*m*m*m)))**(-4\/21) assuming m is positive.\nAnswer: m**(-2079496\/308637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 196666784 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5531, -22211, -50021, -88961?\nAnswer: -139031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 617*g\/2 - 39633\/4.\nAnswer: -(g - 1201)*(g - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u - 2*u - 18 - 4*u**2 + 3*u**2 + 21. What is n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 438, 657, 876?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 108*f**3 + 7*f**2 - 7*f. Let q(d) = 54*d**3 + 3*d**2 - 3*d. What is -14*q(b) + 6*t(b)?\nAnswer: -108*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k)**(5\/13)*k**7\/((((k**(-1)*k)\/k)\/k*k)\/k) assuming k is positive.\nAnswer: k**(864\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*r - 29 + 12, 0 = 5*r + j - 21. Which is the second biggest value? (a) -5 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 434 + -436. Let j(t) = -711*t. Let h be j(1). Let b = 3543\/5 + h. Is b < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y**2 + 2*y + 4. Suppose 0 = 21*p - 20*p, 3*l + 4*p + 6 = 0. Give b(l).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*v + 7, 5*b + 3*v + 5 = 4*b. Let o(w) = 24*w**3 - 2*w**2 + w. Is o(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/6*-3*(-2)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047341 (base 8) in base 10?\nAnswer: 282337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*w - 20, -2*u - w + 28 = -6*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38328 + 1?\nAnswer: -38327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -622, 4, -5.\nAnswer: -622, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from kkeemece.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -5052?\nAnswer: -5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 + n + 3. Let z be d(0). Suppose -z*k - 12 = -6*k. Suppose 0*b + 9 = 3*b, -r = -k*b - 10. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3200 - -3202. Let f be (24\/(-15))\/(2\/(-10)). Calculate the greatest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 23.2. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928555 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudjfcfqujfd. What is prob of picking 1 f and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 21*i + 2721. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 28455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000000111 + -100100101111111?\nAnswer: -10001101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/7 + 100*s**3 + 20248*s**2\/7 - 24958128*s\/7 + 1741893696\/7 = 0.\nAnswer: -188, 94, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36222006 - -4?\nAnswer: 36222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 - 3*w - 3. Let f = -12 + 15. Let a be i(f). Let b be -1 + a + (-8)\/(-2). Solve -3*n - 1 - 14 = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) - (sqrt(19) - (1 + -1*sqrt(19)))) + 3*sqrt(1900))*-2.\nAnswer: 10 + 290*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 40 = -48 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13202121223 (base 4) to base 16\nAnswer: 1e266b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = -3*w + 2, 5*w + 2*o - 13 = 0. Suppose -t = w*t. Let c = t - -2. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d - 3 + 29*d - 7*d. Let y be l(1). Solve 3*w + y = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176606337749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose w*h = 0, 4*u + 0*h - 56 = -h. Suppose r = 6*r - 4*p - u, -8 = -2*r + p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 7. Let g(i) = 10 + 10 + 2*i - 7*i - 4*i. Let b(f) = -6*g(f) + 17*q(f). Let r(d) = -4*d + 2. Calculate 3*b(w) + 2*r(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*p - 12 = 0, a + 5*p = 3*a + 11. Solve -3 - 22 = 5*m, a*s = -4*m - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 3:03 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:28 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 times -33513?\nAnswer: 5797749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - 8. Calculate the common denominator of -46\/7 and ((-186)\/(-10))\/(u\/(-45)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 18*a**2 - 18*a + 3. Let h be x(-17). Let o = 0 + h. Let l = o + 4. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1552*d**4 - 880*d - 2 wrt d.\nAnswer: 18624*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 + -1000\/3. Let z = 10 - c. Let t be (-27)\/((-216)\/16)*(-1)\/9. What is the third smallest value in 2\/15, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**0)\/i)\/i)**21\/((i*i*i*(i*i\/(i*i**(1\/2)*i*i)*i)\/i)\/(i**(-2\/13)\/i)) assuming i is positive.\nAnswer: i**(-69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 618848424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(245) + sqrt(245) + 3)*-1 + 5 + -2))**2*2.\nAnswer: 70560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -27*h - 30. Let q be o(-2). Solve -16 = -r + 4*c, 3*r - 6*r + 4*c = -q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Suppose -20 = -q - f*q. Suppose q*d - 48 = 2. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6468767*k + 52*k**3 + 6468767*k.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3806 + -3.5806. Which is the nearest to 2? (a) 0 (b) 57\/5 (c) -2\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*d = -405, -6*f + 1635 = -2*f + 5*d. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 46*t - 368. Give f(-52).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*h - 87*h - 22. Let d(g) = -g + 2. Let z be d(-2). Solve 3*l - h = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 156 - 156 + (-2*p - 2 + 2)*(-1 - 3 + 2) - 5*p + 2*p + p)*(7*p**2 + 3*p**2 - 4*p**2).\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2284824338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 6. Let x be 3 + (-8)\/4 + -7. Let q be g(x). Suppose q = o + 2*o. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(792\/(-22)))\/((-4)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*a + 22256 = 4*w - 209*a, 0*a = -3289*w + 3291*w - 5*a + 176 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:08 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -26810\/104781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 73*z**2 - 39*z**2 - 31*z**2 in the form k*z**2 + m*z + l and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 31.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 4141?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let b(x) = -4*x**2 + 3*x. Let z(c) = c**2 - c - 1. Let v(t) = k*b(t) - 2*z(t). What is the smallest common multiple of v(-2) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 41*x. Let y(c) = 3*c. Give v(y(j)).\nAnswer: 123*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a - 3*i = -48, 3*a + i - 48 = 0. Calculate the remainder when (a\/(-40))\/(1\/(-20)) is divided by ((-2)\/4)\/(2\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from eeoaeegegegegaeoa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 4*k**2 + k - 1. Let j be n(3). Let d = j + -14. Solve 4*w = -x - d, -5*w + 0*w + 1 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17288229.82 from 2635.\nAnswer: -17285594.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 443?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (-4 + sqrt(200) + 1)) + 5*sqrt(200)*1 + sqrt(200))**2 + 2 + -3 + (-3*(0 + sqrt(200)) - (sqrt(200) + -1*(0 + sqrt(200))))**2.\nAnswer: 420*sqrt(2) + 11608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129170.\nAnswer: 2, 5, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 18 in decreasing order.\nAnswer: 18, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**2 + 6*r + 4. Let o be i(6). Suppose x - o*x + 6 = 0. What is the common denominator of (-91)\/10 + (x - 2) and -43\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = 0, -3*r = -2*c - c - 108. What is the greatest common factor of 256 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-804)\/(-27)*-3)\/(5159\/1407 - (6 - 1))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.808329 meters?\nAnswer: 5808329000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/12 - 8*w**2 + 4*w. Let d(v) = v**2 - v. Let o be d(2). Let j(m) = -3*m**2 - 4*m**o + 2*m**2. What is u(j(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h. Let c(i) = i**2 - i + 2. Let b be c(h). Let -3\/4*f**b - 1\/4*f**3 + 0 - 1\/2*f = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 21*x - 1. Let t be i(1). Suppose -t = 4*u + 2*a, u - 5*a = 3*u + 2. Let h(r) = r**2 - 6. Calculate the remainder when 56 is divided by h(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*r**3 - 363*r**3 + 792*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28 (b) -3 (c) 0.9 (d) 2\/3 (e) 1.2 (f) -50\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1707045 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (sqrt(2448) - (0 + (1 + sqrt(2448) - sqrt(2448))) - (sqrt(2448) + -6*(sqrt(2448) + 0 - sqrt(2448)))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171457 and 7.\nAnswer: 1200199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = -3*t, 2*d - t - 9 = -4*t. Let j be (2560\/25)\/(d\/(-1875)). What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68503 divided by -1123.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 1127*l**2 + 1 + 623*l**2 + 572*l**2. What is g(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3033*c + 52329 = 7151 - 51878 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 618333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2320, -2317, -2312, -2305, -2296?\n\"Answer: x**2 - 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0421 - 66.4421. Let o = 13.4 + k. Let c = -64 - o. Which is greater: c or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 461624 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 6. Suppose w*h = -2*h. What are the prime factors of 12*(h - 3\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-8)\/84)\/(-2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142121 and 771?\nAnswer: 426363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4933 and 8.6.\nAnswer: -12.84238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5448 + -5447.5. Let x be 3\/(51\/(-2) + 0). Which is the smallest value? (a) v (b) 1\/8 (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25931.2263 - -25927. Let u = x - -1.2468. Let f = 3 + u. What is f rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 26, -3 in decreasing order.\nAnswer: 26, 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 - 10*w + 6. Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405855?\nAnswer: 3, 5, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*m = 8, -5*s + 5 + 2 = -2*m. Suppose 0 = s*b + 4*w + 8876 + 9933, -4*w = -16. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590 = -48*z - 72*z + 14*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067771 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = -3*l, -2*l + 0 = 2. Let m be (2 + 1)*4\/t. Does 22 divide (164\/(-6))\/(m\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001319 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71747 + 71679. Let b(u) = -24*u + 3. Let m be b(3). Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002111221 + 202001?\nAnswer: -1001202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-35) - (-874)\/7) + 0. Suppose 3*a - 354 = -4*t, -t = a - 2*t - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 148?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 396*u**2 - 780*u - 388.\nAnswer: -4*(u + 1)**2*(u + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4096.35 + -4097. Let r = -4.1526 - -4.792. Let t = l + r. 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 are the prime factors of 8985?\nAnswer: 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248 - 11328 = -k. Suppose -2*s + 4*a = -6*s + k, -s + 3140 = 3*a. Let w = s - 25067\/8. Find the common denominator of 21\/2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 + 6. Let l = -147 - -155. Let f = -15 + l. Calculate x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18364874 is divided by 765198?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b + 2, -2*f + 7 = -f + b. Suppose 5*l - 4*t = 285, -5*l = 5*t - 265 + 25. Put l, 3, f in descending order.\nAnswer: l, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - n + 2 = 0, -2 = p + 2*n - 3*n. Let j = 4 + p. Calculate the least common multiple of j and 4\/(-2) - (1 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**5\/5 + 23*s**4\/4 - 8*s**3 + 500. Factor y(k).\nAnswer: k**2*(k - 1)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 7*v**2 + 4*v**2 - 34*v - 5*v**2 - 4*v**2.\nAnswer: -v**2 - 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069292547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3907126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43747*j + 1 + 43742*j + 43740*j - 131233*j - 1.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + 52\/(-14). Let p = 39 - 50.4. Let q = p - -11.9. What is the third smallest value in q, g, -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a**2\/7 - 174*a\/7 + 36\/7 = 0 for a.\nAnswer: 3\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36a + -6?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/5 (c) 1 (d) 10 (e) -0.0501 (f) 7 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 28*t - 19. Let p be d(-16). Calculate the highest common divisor of 300 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1104, 86, -918, -1908?\n\"Answer: 7*t**2 - 1039*t + 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 6) to base 9\nAnswer: -1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -251*5\/10*8\/(-4). Let z = s - -20. What are the prime factors of z?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1081 + 35a?\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**4 - r**2 + r + 1. Let d(h) = -30*h**4 + 2*h**2 - 2*h - 26. Let p(y) = -d(y) - 2*u(y). Differentiate p(w) with respect to w.\nAnswer: 112*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 9*t + 2*t)*(-7*t + 4*t - 8*t) - 2*t + 2 - 7 + 4*t**2 - 6*t**2 to z + q*t**2 + l*t and give q.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 3*f - 3*a - 105, -2*a = 2*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-28) + 11050\/1820.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333837?\nAnswer: 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 10*d - 4 = 0. Suppose 2*z = -d*z + 252. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -10.4. Let w = l + 2. Which is the third biggest value? (a) w (b) -2\/13 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29778 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2607*r - 2605*r - 136 = 0. What is the remainder when 140 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/7)\/(11\/55).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/56 and -49\/156.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2515*o - 228 = -2629*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2051*y**5 + 2*y**4 - 65825*y**3 + 486296023*y**2 wrt y?\nAnswer: -123060*y**2 + 48*y - 394950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100339 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -46*v - 111. Is 33 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 5. Let s be h(5). Suppose -4*z - 11 - 13 = -5*q, s = z - 5*q + 21. Do -3\/2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2750 + 4?\nAnswer: -274b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -28. Let g(b) = -b**2 + 4*b + 2. What is the smallest common multiple of 3 and g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343126346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18953 + -11830. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/3234)\/((-4)\/2*(-3)\/54)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 5. Let i(n) = -n**2 + 14*n - 17. Let v be i(b). Is (0 - v)\/(2\/(-62)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.41, 0.06744, 1.\nAnswer: -9.41, 0.06744, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -466914*r**3 + 145149 wrt r.\nAnswer: -1400742*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 79 - 70. Solve u - c*o - 8 = -2*o, 3*o + 6 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/9 - (-6487 + 20)?\nAnswer: 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 43555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let a(k) = -93330*k**2. Determine m(a(z)).\nAnswer: 186660*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*g = 33, 4*j - 1207*g + 24 = -1209*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -711256 divided by 288.\nAnswer: -88907\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20979, -83960, -188957, -335988, -525071, -756224, -1029465, -1344812?\nAnswer: -1702283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 18 - (5 + 4) - 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2695 is divided by 92.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4346571928 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.772288 hours?\nAnswer: 9980.2368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 167 - 58. Let d = b - -13. Is d a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6 - (25 - (3 + -4 - -17))) + 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 6 + 30. Suppose -c + 3*x = x - 17, 30 = 3*c + x. Calculate the smallest common multiple of p and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1990838 + 21\nAnswer: -1990817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -119, -226, -395, -638, -967?\n\"Answer: -2*f**3 - 13*f**2 - 4*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48a (base 15) to base 10.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**3 + n**2 - 29*n**3 + 20*n**3 - 1 in the form a + f*n**3 + v*n + b*n**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-12 - 5) + 12\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16106600 divided by 2777?\nAnswer: -5800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 16293 + 15312. Calculate the greatest common divisor of 147 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 114 = 26. Solve 4*o = -8, -b - 3*o - d = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -187 + (-27 - -40) + 40 + 42?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 10) to base 3\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-20) + -2 + 9. Let j(s) = 2*s**3 - 6*s**3 - 3*s + 2*s. Let b be j(-1). Solve 5*v = -2*h - u, -1 = 4*v + b*h + 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17110*f**3 - 3 - 4384*f**3 + 5205*f**3 + 6.\nAnswer: 17931*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*o = -28. Let d be 5 + 0 + 2\/2. Let h be 3 - d*(-2)\/(-6). Sort o, 5, -4, h in descending order.\nAnswer: 5, o, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27376789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 840842437.\nAnswer: 840842435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43138, 43127, 43098, 43045, 42962?\n\"Answer: -v**3 - 3*v**2 + 5*v + 43137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2)*5*3 - (sqrt(2) - (2 + sqrt(2)))*5) + 2*(sqrt(2) - ((sqrt(18) + -3)**2 - sqrt(18) - sqrt(2)))*-3).\nAnswer: -123*sqrt(2) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -6*sqrt(128) - ((sqrt(32) - -3*sqrt(32)) + 5))**2 + -3)*1.\nAnswer: 600*sqrt(2) + 7222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 3*b)*(-3 - 2 + 0 + 0 - 4 + 2 + (2 + 2 - 6)*(2 - 6 + 2))*(1 - 2 + 3) + (2 - 1 + 1)*(-2*b - 4 + 4) + 6*b - 20*b + 0*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.4035 + -9.4. Let d = 4.9965 + k. What is the smallest value in 7.5, d, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**8\/840 - n**5\/12 + n**3 + 12*n. Let j(u) be the second derivative of w(u). What is the second derivative of j(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 13*j**2 - 26*j - 46. Let g be f(-11). Let a(t) = t + 3. Let b be a(6). What are the prime factors of 6\/b*-3*91\/g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:39 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 27255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*w + 401, l + 3*w - 124 = 28. Suppose n - l = -2*n - 4*s, 0 = 5*n - 5*s - 240. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*x**5 + 2*x**2 - 18*x?\nAnswer: 660*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3543226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1409*t + 2517*t - 1391*t)*(-t - 2*t**4 + t).\nAnswer: 566*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 4\/19 (c) -0.3 (d) 5 (e) 1 (f) 217687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*d + h + 4, -4*h = 12242*d - 12262*d - 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -3\/7, 82?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122848c (base 13) to base 9.\nAnswer: 11553284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/9797637 and 88\/803085.\nAnswer: 48988185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 6}. Give prob of picking 3 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeummxumav. Give prob of sequence ux.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o + 15*o**3 - 15*o - 7*o.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*s**4 + 7*s**3 + 14*s**2 - 156539*s wrt s?\nAnswer: -1332*s**2 + 42*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = s - 0*s + 42, -4*n - 4*s + 48 = 0. Calculate the remainder when 21 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220122 (base 3) to base 4.\nAnswer: -1300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79354\/7 - -1 - 690\/(-966) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19784, 39570, 59356, 79142, 98928?\nAnswer: 118714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336914626 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 924032 divided by 3\nAnswer: 924032\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 12 = 12*a. Let w(y) = 2 + y**3 + 4*y + y**2 - a*y + y**2 - 5. Give w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 9 - 12 - -10. Solve u*l + 24 = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = 5*o - 21. Let k = o - -208. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1520969, 1520952, 1520919, 1520864, 1520781, 1520664?\n\"Answer: -l**3 - 2*l**2 - 4*l + 1520976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0976 - 0.0024. What is the fourth biggest value in c, 5\/6, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 4. Let d be y(2). Suppose -5*m + 2*v + 3*v = d, -3*m = v + 8. Let j(a) = -a**3 - 2*a**2 + a + 1. What is j(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2, 8, -2052, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -a + 4*m, 3*a = -3*m - 0 - 21. Let w be ((-2)\/3)\/(1\/12). Let y be 12\/w*36\/a. Solve 3*d + d + 6 = 2*j, 2*d + 4*j + y = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 3*x**3 - 4*x**3)*(4 - 1 - 6 - 1).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, c: 14}. What is prob of picking 4 r?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Let i = 7 + 0. Calculate the remainder when i is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p - 0, 3*j = -5*p + 11. What is the remainder when 17 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.0071 seconds in milliseconds?\nAnswer: 339007.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 97) + (-394526)\/(-3859)?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*z + 2*u - 0*u, -2*u - 1 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/2 - 7960*c + 31680800 = 0.\nAnswer: 7960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 9. Let n = -244 + 233. Determine b(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1624, -3245, -7662, -16273, -30476, -51669, -81250, -120617?\nAnswer: -171168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*s + 11481115 = 11476847 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 4*k**2 - 5 + k**2 + k**2 in the form q + u*k + v*k**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-56)\/(-49) + 2 + -3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4979 - -28.\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n - 2)*(5 - 2 - 4) - 2*n + 1 - 1 + (-4 + 3 + 4)*(3*n + 2*n - 4*n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + 4*h**2 - 4. Let n(u) = -3*u**3 + 3*u**2 - 3. Suppose 0 = -0*g - 2*g - 5*x + 99, g - 87 = 5*x. Let s = g - 58. Give s*n(r) - 3*y(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1114 - 0.5.\nAnswer: -1114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334 divided by -33623.\nAnswer: 1334\/33623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:47 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(300)*-1)*5.\nAnswer: -50*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79611 + 1219?\nAnswer: 7a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4959 * 2450.\nAnswer: -12149550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471 + 1861 = -210*w - 2078 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -2. Let b = -3 - f. What is the smallest common multiple of 16 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -60*v + 391. What is d(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -959, -2215, -3975, -6239, -9007, -12279?\nAnswer: -16055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 3*v + 29, -5*x = -v - 39. Let c(k) = 7*k**2 - 5*k - 26. Let o(d) = -11*d**2 + 8*d + 39. Determine x*c(b) + 5*o(b).\nAnswer: b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7635*i. Let y(o) = 1015449*o. What is -531*u(r) - 4*y(r)?\nAnswer: -7611*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -120 + (106 - 99) - -63\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10789158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from eeeeztttztzzttett?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7593825?\nAnswer: 3, 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3484\/7839)\/(84\/(-918)).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -116.6+9466214\nAnswer: 9466097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 7 = 0, 102*c = 5*n + 103*c - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(22 - 6 + 66 + 3 + 0 - 6 - 4 + 0 + 2 + (5 + 1 - 4)*(-4 + 5 - 2))*(-5 + 5 + d).\nAnswer: -300*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/78*3*10*688\/17200?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/25)\/((-3)\/(-30)). Let x = 4 - w. Suppose -l - 3*p = 4, 0 = p - 6*p - 5. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.1 + -37.1. Let v = -2.1 - -2.4. Sort v, 2\/13, a in increasing order.\nAnswer: a, 2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/(((-2948)\/(-44))\/1876)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 14*a**2 + 2*a - 15. Let y be p(14). Suppose 0 = -b + 4*s + 46, -151 + y = -3*b - 5*s. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1845304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 43*h - 29*h)*(-3*h + 2 + 3*h - h)*(7 - 3 + 5 + (0 - 2 + 1)*(-2 - 1 + 0)).\nAnswer: 792*h**2 - 1584*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4114737233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by 442.\nAnswer: -93\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 - 43*i + 272. List the prime factors of t(-60).\nAnswer: 2, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12550 is divided by 5943?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621019 to the power of 1\/2, to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbe when three letters picked without replacement from {f: 1, e: 2, b: 1, s: 2, c: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from gwgwwwwwwwgwwww?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 2*o + 161. What is the remainder when j(-33) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40006 + 186*q**2 + 40006 - 189*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a620835 - 0?\nAnswer: -a620835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 981966101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/2594158?\nAnswer: 5\/2594158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1535 + 0.0465. Let s = 1 - 0.4. Sort d, s, 2 in ascending order.\nAnswer: d, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 1.1. What is the nearest to 1 in 0, 4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-28))\/(4\/14) - -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65640200 to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 428, 404, 310, 110, -232, -752?\n\"Answer: -6*q**3 + q**2 + 15*q + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306809?\nAnswer: 306809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 n when three letters picked without replacement from {n: 3, y: 1, k: 5, l: 1, f: 4, u: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - -31. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326a1 (base 15) to base 14.\nAnswer: 424d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/7560 - b**7\/3780 - 5*b**3\/6 + 4*b**2. Let k(q) be the first derivative of o(q). Factor k(r).\nAnswer: 2*r**3*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 6. Let c be u(4). Solve c*j - 3 = 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(12)*-3)**2*-4.\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2*x - 4. Let v be f(8). Let k = -27\/2 + v. Calculate the common denominator of 74\/21 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - z**3 + 2*z**3 + (-6*z**2 + 2*z**2 + 2*z**2)*(3*z - 5*z + z) + 11*z - 11*z + 4*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 11, d: 2}. What is prob of picking 3 o?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**2 - 67*v + 32. What is c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 101*a**2 + 7597*a + 1049. Give n(-75).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*-5 + (-3)\/54*23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdn when four letters picked without replacement from {l: 6, p: 1, d: 2, n: 1, t: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 976907 to the power of 1\/2, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -63) + (-102)\/2 - 2 - -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15479*c**2 + 455*c - 54 wrt c?\nAnswer: 30958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.016+32713442392\nAnswer: 32713442391.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103811819 rounded to six dps?\nAnswer: -0.010381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*b**3 + 99*b**2 - 48*b**3 - 99*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8476 + 8479. What is the greatest common factor of d and 2913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38032909, -38032939, -38032969?\n\"Answer: -30*j - 38032879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 806.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 4*o - 4*o. Let x = -186 - -319. Let r(v) = x - 2*v - 133. Give r(u(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -277, -438, -619, -826, -1065, -1342, -1663?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315112 divided by 56.\nAnswer: -5627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577651.\nAnswer: 29, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*l**2 + l**3 - l + 5*l - 32*l**2 - 36*l**2 - 13*l**4 + 79*l**4 to the form j*l + i*l**4 + p*l**3 + x + v*l**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/69 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -524\/21 - -70\/3. Let x = 3631937\/21 + -172952. Calculate the common denominator of v and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 292 + 92?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206638 + 83?\nAnswer: 206721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 5 + -6 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29716 and 269836.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/6*3\/2. Suppose -l*g + 159 = v - 287, -3*g = -v - 338. Let h = 184 - g. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360984 and 1352.\nAnswer: 360984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13675, 13646, 13569, 13420, 13175, 12810?\n\"Answer: -4*w**3 - w + 13680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3012336*u**3*z**3 + 56*u**3*z + 2490*z**2 wrt z?\nAnswer: 18074016*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 20*y - 7. Suppose 9 = -10*d + 69. Let v be p(d). Solve -17*n - v = -22*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**2 + o**2 - 3*o**2)*(15 - 17 - 23)*(0 + 0 + 3*o) - 2*o**3 + o - o to the form m*o**2 + v + d*o + t*o**3 and give t.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 - 3*q**5\/20 - 3*q**4\/8 - 5*q**3\/6 + 18*q**2. Let b be c(-8). What is the tens digit of ((-4)\/b)\/((-28)\/2562)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015.2 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 2. Let h be u(5). Let r = -12 - -26. Calculate the remainder when r is divided by -3 - -11 - (h - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -24*n**2. Let t(v) = 10*v. Give i(t(z)).\nAnswer: -2400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376050 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: Is 5317 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -440 + 340.3. Let p = g - -106. Let m = -6.299906 + p. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 41*z + 2464. Let w be x(-60). Solve -w*o + 15 = -q, -2*o + 30 = 5*q - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -74980625 divided by 74980625\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 + 97. Suppose 3*x - o = 84 + 24, -i*x + 72 = 2*o. Calculate the greatest common factor of x and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - 41 - 4*w**2 - 248.\nAnswer: -4*w**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77629.600024 + -77630. Let l = 4.4 - 4. Let g = l + m. Round g to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 468.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -68.4. Let t = 4805.54 + -4798.13938. Let g = t + y. Round g to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 - 0.6. Let m = -4.4 + s. Is m at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1883 + -1883. Which is the nearest to -23? (a) -5 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-12) + (-27)\/36. Factor -10\/3*u**3 - w*u - 4\/3 + 16\/3*u**2.\nAnswer: -2*(u - 1)**2*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, u: 2, f: 1, w: 2, y: 1}. Give prob of picking 1 y and 3 d.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -30 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 48*i = 0. Suppose i = 4*m - 19 - 1. Solve -5*n + 0*p = 4*p + 40, -m*n - 5*p = 45 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -296?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -561114 and 0.0014.\nAnswer: -785.5596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -68, -145, -252, -389?\n\"Answer: -15*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -106, 4, -2, 2, 3 in ascending order.\nAnswer: -106, -5, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.33 - 59. Let z = 34.33 - l. Let k = z - 33. Which is bigger: -2\/45 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 194*q + 315. Let f be x(-26). Let o = -1013 - -3094\/3. Let h = -18 + o. Which is the fourth smallest value? (a) 0.4 (b) h (c) f (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05059 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.11 in -4\/5, -3\/265, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227 a factor of 2153043557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -17 + 3 - 12) + -23.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728595 divided by -3.\nAnswer: -242865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 3. Calculate the remainder when 25 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*u = -73*u - 0*u + 23990 + 19768 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:29 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-2\/7))\/b))**(6\/13)\/(b**6*b*b*(b*(((b\/b**11)\/b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(485\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a factor of 1817391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2684 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21323\/2 - -6612. Which is bigger: m or -4049?\nAnswer: -4049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -11.8.\nAnswer: 47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161830170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20360 divided by 20?\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 18. Let i be s(19). Let a be -2 + (i - 2)\/((-3)\/12). Calculate the greatest common factor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*r = 3*m - 15, -2*r - 10 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22627 by -4.\nAnswer: -22627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 4. Let j(z) = 0*z**3 + 3 + 14*z**2 + 1 - 2*z**3 + 3*z**3. Let l be j(-14). Let n(q) = q - 3. Determine l*n(t) + 3*a(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.053, 1\/6, -0.1, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40733644 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*h**5 + 4*h**2 - 56*h + 4.\nAnswer: 400*h**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7950 and 21.\nAnswer: 55650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgcgcyrrfcngncfcyy. What is prob of sequence rfn?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 10814 + 2*x**2 + 10814 - 124*x to the form r*x**2 + h*x + p and give h.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 773862 by 1.\nAnswer: 773862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.02 (b) 2\/13 (c) 6050\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -57*r - 47. Is 20 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -231, -293, -355, -417, -479?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 47 + 152. Let u = k + -11. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = 0. Suppose s = -t + 5*t. Suppose 95 = 5*o - 4*j, -5*o + 95 = -t*j + 4*j. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27101093881111\/14022 - 1932755232. Let h = -5\/779 + s. Calculate the common denominator of (186\/44)\/((-2 - -3) + -4) and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*d**2*t*x**3 + 5*d**2*t*x - 2*d**2 + 4*x**3 - 79*x**2 wrt x.\nAnswer: 246*d**2*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -1000001011100?\nAnswer: 1000001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 852 = 868. Let z(a) = -40*a + 129. What is the units digit of z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l**3 - 6*l**2 - 5*l + 2. What is i(-2)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181746?\nAnswer: 2, 3, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3337, -3244, -3225, -3280?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 80450430*o - 539355973932075 = 0. Calculate o.\nAnswer: 13408405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 3*a + 0*a)*(-2 - 1 + 4) + 70 + 118*a - 220*a + 104*a as h*a + c and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, u: 4}. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 - c?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 970, 1925, 2880, 3835, 4790, 5745?\n\"Answer: 955*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -13. Let x(z) = 7*z - 1. Calculate x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 324198387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/2)*r))**(1\/6)*((r*r**4)\/r)\/(r*r*r**(-3)))\/(r**(1\/2)\/r**4*((r\/r**4)\/r)\/(r\/(r*(r**(-2\/9)*r)\/r))) assuming r is positive.\nAnswer: r**(455\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3 - 126. Suppose 0 = -i + 344 - p. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*b**2*f**3 + 332*b**2*f**2*k + 711*b**2*f + b*f*k + 11*f**3*k wrt k.\nAnswer: 332*b**2*f**2 + b*f + 11*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467190 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: Evaluate ((-132)\/(-990))\/(4*1\/(-3)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 34 + 116. Suppose 2*d + d = -2*h + 142, -h + 5*d + 71 = 0. Let s = k + h. 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: Convert 3046 (base 8) to base 2.\nAnswer: 11000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -8\/7 (b) 175.4 (c) 5 (d) -1 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -22*l**2 + 447*l - 1508. What is j(4)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 94 - 9 - (-29 + 82)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.324 - 0.024. What is the third biggest value in -0.3, 9, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 + 19*s + 7. Let t be b(-15). Suppose 5*x + t = 4502. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 3. Let n(s) = -14*s**2 + 9. Let x(g) = -4*n(g) - 11*r(g). Let p be x(3). Solve -p = 2*h - 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3484 + 3575. Calculate the remainder when 2638 is divided by d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*q = -179*q - 280500. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9869 + -2528. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2912 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 5, u: 7, x: 5}. Give prob of picking 1 u, 1 s, and 1 n.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -113+838916267\nAnswer: 838916154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 + 464 = 21*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0284 (b) 1\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + 65. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-34 - (-2 + -13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -599987 take away 694625?\nAnswer: -1294612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1739*m**2*q*v + 187616*m**2*q - m*q*v + m*q - 4260*m*v + 20*m - 2*q + 231*v + 1 wrt m.\nAnswer: -3478*q*v + 375232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11557, 11573, 11589, 11605, 11621, 11637?\n\"Answer: 16*j + 11541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.7222 to 2 decimal places.\nAnswer: -14.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*h - 9, 6*h + 5 = 2*f + 3*h. Solve f*z - 12 = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*9\/(-252))\/((-578)\/272)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 15*j**2 + 19*j + 21. What is the remainder when o(16) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/10*(-7)\/((-28)\/(-230)). Solve -47*g + d*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let c be 0 - 4*(1 + -2). Suppose t + a = 5, -c*t - t = -5*a - 5. Solve f - t*n + 6 = -s, -3*f - 5*n = -12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 108 = -o, -d = -3*o + o - 15. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - u - 3*u**3 + u**3 - 3*u - 3 + u**3. Let c be -3*3\/(-18)*-26. Let d = -8 - c. What is b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 14*x - 39. Let c be r(9). What is the hundreds digit of 2*1503\/18 - c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 8. What are the prime factors of u(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -90. Let a = p - -2. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7.6. Let m = -0.4 + c. Let q = m + 0.99908. What is q rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-35)\/(-5))\/7)\/(493\/(-29))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 148*j + 141. Is 8 a factor of u(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w + 248. Let s(y) = -2*y - 84. Let h(u) = -4*o(u) - 11*s(u). Let v(a) = 5*a. What is v(h(c))?\nAnswer: 10*c - 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7761143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -47*i - 31. What are the prime factors of s(-7)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345113141?\nAnswer: 17, 43, 472111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpw when three letters picked without replacement from fmpfhwrr?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -37 (c) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*k + 4*k. Let g(z) = 78*z**2 + 4*z - 2. Let h be g(k). Let i = h - 203. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7469*k - 44674. Determine h(-6).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932303 = -58*m - 25*m + 6480189. What are the prime factors of m?\nAnswer: 2, 19, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 + 2*l - 3. Let k be i(-4). Suppose 5*g - 1 = c, -3*c + k*g - 19 = -6. Let p be c\/14 - (-228)\/42. Let z(q) = -2*q - 1. What is z(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40615747823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 + -3533?\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -57. Solve 4*k - 20 = -k, 5*k - z = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 + 255*d - 1218. Determine b(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 229*o**3 - 221*o**3 + 5*o + 1 to f + t*o**3 + r*o**2 + l*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26152631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18*r**3 + r**2 - 17*r - 216. What is the thousands digit of a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4 + (2 - 4 + 1)*(2 - 3 + 3))*((x + 0*x + x)*(5*x - 4*x - 3*x) + x - 2*x**2 - x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from hfrzrkkx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*p + 35, 5*r - p - 25 = 4*p. Let w(a) = a**3 - 9*a**2 - 14*a + 38. Let l be w(r). What is the nearest to l in 0.2, -2, 0.4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -46. Let j be (-24)\/(-20)*(-15)\/y. Which is the biggest value? (a) 3 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*g)*(-3 + 13 - 7) + (-10 + 11 - 41)*(2 + g - 2) in the form l*g + p and give l.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -565, -4.4 in increasing order.\nAnswer: -565, -4.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5775\/22)\/25*(-2)\/(-6)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -23. Let t be -5*12\/(-10)*3. Let d be 100\/x + (-3)\/t. Solve 0 = -3*y - 2*p - 3, y + 0*y - p - d = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 83?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1829*r**4 - 2535*r - 405*r - 206*r**4 - 10*r**3 + 8*r**3 wrt r.\nAnswer: 19476*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 61, -42, 2, -2\/67, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -302289, -604588, -906887, -1209186?\n\"Answer: -302299*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = 3*f, -2*f - 2*i = 2*i - 12. Let y be -2 + 1 + (-56)\/f. Differentiate -25*g**2 - y*g**2 + 2 + 44*g**2 wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 c when four letters picked without replacement from {c: 2, g: 5, u: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-49))\/(5\/(-35))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - 25?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 627 - -350. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d - 3*a, -3*d + 2*a + 2 = -3. Let f(p) = 3*p + 2. Let b be -5 + 8\/2 - -2. Let j be f(b). Solve -j*w + 40 = 3*k, -d*w - 2*w = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73353 and 1777937?\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -396667 and -0.5.\nAnswer: -396667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by 1125308.\nAnswer: -189\/1125308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 2.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-4\/3)*(((r*r\/(r*r**(2\/7))*r)\/r*r)\/r)**(14\/9) assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 12 = -13*w. Let z be w - 30\/(-2 - 0). Let r(q) = 14 - 5*q + 5 - z. Let m(n) = -4*n. What is m(r(c))?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 5*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 2*m**2 - 3*m**2 + m + 0*m**2 - 23 to the form n + z*m + i*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2. Let z(i) = -3*i**2 - 5*i - 5. Let r(d) = -d**2 - d - 1. Let w(y) = 5*r(y) - z(y). Calculate v(w(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.056 in 3\/8, 4, 0.1, 113, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43202*x - 5 = -43200*x + 3*c, 2*x + 5*c + 11 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/770*-2*92\/(-8)*-10.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -370706 - -370705.841179. Round s to three dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 23 = -8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 2*a**4\/3 + 41*a**3\/6 - 40*a. Find the second derivative of r(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -482104.31 - -479641. Let y = 2445 + d. Let v = -19.5 - y. What is v rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100101010000 (base 2) in base 9?\nAnswer: -175317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4434, -4424, -4402, -4362, -4298, -4204, -4074, -3902?\n\"Answer: n**3 + 3*n - 4438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*w + 13760556 - 13752361 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.686891 times -0.2\nAnswer: 0.3373782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 254001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19*(0 + (-4)\/(-5) - (-56)\/(-20))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11813*v. Let y(r) = -r + 595. Give q(y(c)).\nAnswer: -11813*c + 7028735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 273233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121284287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 22. Let c(w) = 3*w**2 + 3*w + 2. Let q be c(a). Factor -q + 15*b + 3*b**2 + 18 + 2*b**2.\nAnswer: 5*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13940 = 16*i - 20*i, 7*i - 24398 = -4*o. What are the prime factors of i?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1) + 8325\/36. Let v = 229 - s. What is the third smallest value in -1\/6, -5, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/36 and (-6*10\/(-27))\/(19\/(-114))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9357360.\nAnswer: 2, 3, 5, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b**3\/15 - 14*b**2\/15 + 28*b\/15 - 2\/5 = 0. Calculate b.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.93259826 and 1.8.\nAnswer: 17.73259826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28155 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14552 - 0?\nAnswer: 14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193621 + 96812 - 2*q + 96809.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 18750 = -y, 18768 = y - o. Suppose -2*f + 19848 = c, -2*c + y = 3*f - 11008. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**(-40)*(j\/(j**(-4\/15)\/j))\/(j**20\/j) assuming j is positive.\nAnswer: j**(-2153\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 500\/(-18) + (-8)\/36. Let l = j + 24. Let v(d) = -d**2 - 5*d - 2. Let g be v(l). Solve 4*y + 16 = -2*h, -g*y - 5*h - 16 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 16) in base 4?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 31. Let z be f(5). Let w be z\/35 + (-2)\/(-5). Suppose w = -13*a + 12*a + 83. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13448)\/(-5043)*(9\/(-25))\/((-8)\/10).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 4526.\nAnswer: 104098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 3*t - 24, 5 = 3*b - t. Solve -5*m - 4*l = 17, -2*m - 26 = 2*m - b*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 0 - 2 + 3*o + 2. Let p be u(-1). Put 1, -4, p in decreasing order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.336682 and 0.05?\nAnswer: 0.0168341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let o be r(0). Let p = o - -1. Let m(s) = s**2 - 2 + p. Let t(l) = 3*l. Calculate t(m(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 74677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 2*y**2 - 3*y + 2. Suppose 2*r = 3*r + 2*m + 32, 113 = -4*r - 5*m. Let o = r + 24. What is n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*q + 468 + 713, 0 = 4*o + 2*q - 946. Calculate the remainder when o is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 17, -4 in increasing order.\nAnswer: -4, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/57)\/((-16)\/36).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206332*n - 13671 = -1206549*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 9*f + 12. Let h be z(6). Is 3 a factor of h\/1*3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1696 = -4*r - 32. Sort r, 2, 1, 3 in descending order.\nAnswer: 3, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -232.65 and 1928.\nAnswer: 1695.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-1)\/(20\/(-10))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 73 + 11 = 0. Let b(c) = -c**3 + 15*c**2 + 13*c + 28. Let v be b(w). Suppose 2*h - 206 = -o + 4*h, v = 2*o - 2*h. Is o a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y**0)\/(y**(-1\/5)*y**(-2\/11)\/y) assuming y is positive.\nAnswer: y**(186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/(-1276))\/(2\/(-11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308918020 and 4300?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 334*o**2*t + 795*o**2 - o*t wrt t?\nAnswer: 334*o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4*x - 9. Let i be q(-6). Solve 3 - 18 = -i*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - p - 6 - p.\nAnswer: -3*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 11*b**2 - 9*b - 6. Let c be n(10). Suppose -h + c*r - 14 = 0, 0 = 5*h - h - r - 4. Solve z - 4 = h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-538837)\/(-91) + 10)\/(3\/63). Round k to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**2 + 0 - 3*w - 2\/3*w**3. Let p(h) = 2*h**2. Determine f(p(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 26*y - 456. Let s be d(17). Let h(g) = -8*g**2 - 3*g + 3. Let u(w) = 16*w**2 + 7*w - 7. Give s*h(f) - 6*u(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 32\/(-14). Let h = 1 + b. Let k = 10 + h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 759 - 759.02. What is the third biggest value in 7, 1, u, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oaaooaatoooao?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*w - 301. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/120 + f**5\/6 + f**4\/8 - 2*f**3 - 2*f**2 - 3*f. Let l(g) be the first derivative of n(g). Is l(-9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Suppose -3*l + 2*u + 183 = 0, 4*u - 133 = t*l - 381. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 94*n - 92 + 265 - 87 + 105*n.\nAnswer: 199*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 30*a - 342 = 0. Solve 54*s - a*s = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 279? (a) 1\/2 (b) 2\/7 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*o + 824, 5*o - 4*l - 20 = -1430. Let t = -198 - o. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327 = -22*c - 11*c + 842 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 25 = -31. Let m = 310 - 290. Solve 8*s - m*s - k*s**2 + 11*s**2 = 0 for s.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993821096.\nAnswer: 2, 124227637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= 51.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*102\/(575280\/6862)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -9, -36, -67, -102, -141?\n\"Answer: -2*x**2 - 17*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 161 - 146 = 0. Suppose 4*j + 0*h + 13 = -d*h, 9 = -4*j - h. Are j and -32\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1085*o**4 - 582 + 718 - 2*o - 491 wrt o?\nAnswer: -13020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 15*k + 13. Let m be y(16). Put -5, m, -9 in decreasing order.\nAnswer: m, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -198, -0.1 in increasing order.\nAnswer: -198, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-212)\/(-24) + 10\/60. Solve -2*l = -b + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 6408.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 896.0514g?\nAnswer: 896051400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 235 = -173. Suppose -3*g + p + 21 = -142, -4*g + v = 2*p. Suppose -f - 2*n = -2*f + g, 2*f - 3*n = 103. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212050*j + 212050*j - 3 + 4 - 5*j**2 to the form w*j + m + h*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1811\/4872 - 2\/609. Let f = -5.4 + 5.2. Which is the closest to 0? (a) -0.4 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1068 + 1483. What is the remainder when b is divided by 96?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 - 12*r**2 + 12*r**2 + (4*r**2 + 2*r**2 - 3*r**2)*(626*r - 961*r**2 - 626*r) in the form w + i*r**2 + h*r**3 + t*r + f*r**4 and give f.\nAnswer: -2887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1215465 (base 10) to base 4.\nAnswer: -10220233221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 14*n - 28. Let f be z(-16). Sort f, -1, -6, -10, 0.1.\nAnswer: -10, -6, -1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4 - 5*n - 10. Let a(l) = 6*l**2 + 7*l - 7. Let b(w) = -5*w**2 - 6*w + 6. Let p(f) = -6*a(f) - 7*b(f). Give p(q(k)).\nAnswer: -144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 2, f: 2, j: 1}. Give prob of sequence fn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, h: 1, f: 1, k: 1}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3856.\nAnswer: 1\/3856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z. Let r(n) = -11705555*n**2. Give r(k(c)).\nAnswer: -1978238795*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*(13 + 1849\/(-129))*6\/8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 1480 = -15*c. Let a = c - 111. What is the remainder when a is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10 + 5. Is 4\/(-36)*t*-879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u**2 - 3*u - 2. Let c(r) = r**3 + 8*r**2 + 6*r - 8. Let n be c(-7). What is the remainder when 38 is divided by x(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5217, -10402, -15539, -20604, -25573?\n\"Answer: 4*h**3 - 5213*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.1393698 to zero dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. Suppose -2*i - 10 = -i + 3*y, -5*i = -t*y - 18. Solve -i - 3 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 12) in base 13?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0603069 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1160 - -3?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 214.35 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -151 times -2239983\nAnswer: 338237433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*y - 4*f, 5*y - 3*f - 14 = 23. Suppose -y*p - 14*p + 594 = 0. Calculate the smallest common multiple of p and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -t - 3*t + 18, 4 = 4*t - 2*f. Suppose 4 = t*u + 28. Is 24 a factor of 4\/6 + (-1144)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -15. Let a = 12.05 - b. Let q = a + -0.45. What is the third biggest value in 1\/3, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/4)\/((-6)\/12). Suppose 0 = -t + o - 10. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 285*s + 5. Let h be f(1). Suppose 26 = -12*v + h. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(66\/(-55))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Suppose 4*b - 24 = t, 10 = 3*b + 4*t - m. Let c(h) = 2*h**3 - h. Let v be c(-1). Which is bigger: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239363.\nAnswer: 59, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*k**2 - 5 - 1957*k**2 + 3.\nAnswer: -1357*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*d + 2 = 2*z, 4*d = 2*z - 6. Let k(x) = -x**2 - 8*x - 8. Let y be k(-6). Suppose 2*c + 3*c = -10. Sort z, y, c in increasing order.\nAnswer: c, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 29. Let g be 34*z\/(-1*6). What is the second derivative of 10*m**3 + 18*m - g*m - 14*m wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let t be s(-2). Suppose -38*o - t = -41*o. Put 5, -4, o, 0 in descending order.\nAnswer: 5, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 15*x**2 + 19*x + 59. Calculate w(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1738)\/3476)\/(1 - (-81)\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7*d - 13. Suppose 84*c - 54 = 90*c. What is u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095611 divided by 103.\nAnswer: -10637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8676, 18674, 28672, 38670, 48668?\n\"Answer: 9998*q - 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*l - 5*t, 22*l - 27*l + 2*t = 19. Let o(j) = -10*j**2 - j - 7. Let x(s) = -1. Give l*o(y) + 6*x(y).\nAnswer: 10*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 - 0 - (-3 + 0) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08925 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/6 - 2*t**3 + 7*t + 1099. Let d(u) = 8*u**2 - 7. Let h(q) = -q**2 + 1. Let b(m) = -2*d(m) - 14*h(m). Calculate b(r(v)).\nAnswer: -8*v**4 + 96*v**3 - 288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 37 = -5*b, b + 3*b - 32 = 2*c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185614693 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4\/3*z**2 + 4\/3 = 0 for z.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - ((0 - -4) + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 0) + 5 - (48 + -65 + 27)) + 33\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 7*y - 14. Let h be n(-4). Suppose -s + 3*j + 1 = 0, 2*j - 3*j = -3. What is the least common multiple of s and h\/(-4 + 215\/55)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25091\/6 - 4160. Let s = -938\/95 + 28\/19. Calculate the common denominator of t and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1641 - 1647 + 97*u**3 - 3*u + 3*u wrt u.\nAnswer: 291*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15255052 (base 7) to base 3.\nAnswer: -2202010120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 59. Solve 11 = -z - 3*m, 4*z - a = 3*m + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-10))\/(167\/(-1075480)*-322)?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58504 is divided by 540?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 9, q: 5, x: 3}. What is prob of picking 1 x, 1 j, 1 o, and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, 0.2, 5, 4, -133\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d - 7. Let x(u) = -d*u - 2 + u + 2. Let s(r) = -2*r**2. Calculate x(s(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135.647 - -35.3611. Let q = -0.185 + -170.815. Let s = r + q. Round s to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14586544 divided by -329\nAnswer: -44336","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 135 = -4*v, 49*n - 44*n - 5*v = 135. What is the greatest common divisor of n and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1005816*n**4 + 3462*n**2 - 46*n wrt n.\nAnswer: 24139584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, -4, -38, -70, -100?\n\"Answer: b**2 - 39*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/56)\/(9*(-18)\/(-567)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onj when three letters picked without replacement from {j: 3, n: 1, o: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3778 - -4.2222. Which is the closest to 1? (a) -0.3 (b) 1 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 11, -7, -4\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52589*n - 52489*n + 7886 = 2586 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -538*g + 172 + 1105*g - 533*g. Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9 = 5*s + 6*k, 0 = 4*s - 4*k - 24. Suppose 3*h = 4*w + 225, s*w = -2*h - 111 - 79. Find the common denominator of -51\/8 and 0\/2 - 213\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -57 - (-10)\/2 - 2\/(-2). Let b = z - -54. Suppose a - 5*d - 12 = -0*a, -b*a - 2*d + 104 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/198 and 59\/414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -5, 2, 5.\nAnswer: -5, 2, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + 0 + sqrt(5) + 0 + (1 + sqrt(180))**2).\nAnswer: -362 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29987160.\nAnswer: 2, 3, 5, 7, 29, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) + 1 - 4\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 plus -10087.2?\nAnswer: -11160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -2, 5, 255431 in decreasing order.\nAnswer: 255431, 99, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 818*w - 828*w + 1 - 1. Let s(a) = -2*a**2. Give i(s(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-33))\/((-931)\/(-77) - 12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/4))**26*(w**(2\/5)\/w)**(3\/7)*(((w\/(w*w*w**(3\/7)))\/w)\/w**1)**(4\/3) assuming w is positive.\nAnswer: w**(1027\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 = 5*u, -4*u = -22 + 6. Let k(c) = -c**3 - c**2 + c + 14. Determine k(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -53, -74, -113, -176, -269, -398?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8544, 33269, 74182, 131283?\n\"Answer: 8094*f**2 + 443*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 11*k\/5 - 6.\nAnswer: -(k - 6)*(k - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 105 + 35 + 12*j**2 - 3*j**2 + 2*j + 37 + 2*j**4 + 32 as v*j + r*j**3 + s + u*j**2 + w*j**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 - 3*m + 3*m)*(2*m**2 + m**2 - 2*m**2) + 390*m**4 + 3*m - 6 - 392*m**4 - 21 to d + h*m**4 + v*m**2 + b*m + q*m**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 196779 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 6 = 2*d, 3*d = -5*a - 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:06 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 15. What is the tens digit of (3\/6)\/(m\/410)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767765.\nAnswer: 3, 5, 117851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.45 less than 7136?\nAnswer: 7133.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150361346 divided by -1.\nAnswer: 150361346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 - 15*s**2 + 15*s**2 + (2 - s**2 - 2)*(60*s**2 + 170*s**2 + 188*s**2).\nAnswer: -414*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20020354 (base 7) to base 6.\nAnswer: 55224254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(13\/((-13)\/4)). Let z(d) be the third derivative of d**4\/24 - 6*d**2. Let m(q) be the third derivative of q**3\/6 - q**2. Give o*z(i) - m(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -916, -1376?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Let a = -1.56 - 0.54. Let j = b + a. Put j, 3, 0 in increasing order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435811 is divided by 7040?\nAnswer: 6691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-40))\/((-3)\/(-8)). Let t be 6\/(-14) - 72\/(-21). What is the second biggest value in 1, t, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + sqrt(10)\/sqrt(2) - sqrt(5)) + ((-1 + sqrt(5))*2)**2 + -5.\nAnswer: -7*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 966*n**4 + 72*n**2 + 6*n + 7741. Let q(d) = 1933*d**4 + 132*d**2 + 11*d + 15483. Let j(r) = 11*a(r) - 6*q(r). Differentiate j(v) with respect to v.\nAnswer: -3888*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 8. Let r be (0 - c)\/(0 + -1). Let v be r\/6*(-1 - 1). Is v not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffaaaagaagawff. What is prob of picking 1 a, 2 g, and 1 w?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.32 + -75.02. Which is the biggest value? (a) -3 (b) t (c) -504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953981?\nAnswer: 7, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13541)\/44)\/(3\/(-148788)). Suppose -40*l + 77263169 = q. What is l rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**5 + 944*g**4 - 716*g**3 - 52640*g**2 = 0.\nAnswer: -7, 0, 8, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67554, 67556, 67558, 67560, 67562, 67564?\n\"Answer: 2*f + 67552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*s - 54 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/504 and -29\/147?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4773 and 41\/24?\nAnswer: 38184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2656 + 2735.64. Let m = p + -59. Let r = m - 21. Round r to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12*j - 60. Calculate the least common multiple of l(6) and (-2)\/4*(-8)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, 1\/3, 2, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464911909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2180*r**3 + 48*r**2 + 58*r. Let x(y) = -1091*y**3 + 22*y**2 + 29*y. Let v(d) = -4*l(d) + 9*x(d). What is the third derivative of v(t) wrt t?\nAnswer: -6594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, 0.01, -0.06?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upupppuptukuupkupupp. What is prob of picking 1 k, 1 t, and 2 u?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*i + 207, -3*v - 54 - 59 = i. Calculate the common denominator of 1\/10*v\/2 and 61\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 7. Let d be p(2). Let h = d + -9. Suppose h*l - 3*l - i = -131, 3*i - 85 = -2*l. What is the least common multiple of 16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-26)\/14 - -1)*7. Let o(d) = -d**2 - 8*d - 6. Let i be o(x). Suppose -2 = -k + i. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1404*g - 3928*g + 1380*g in the form x*g + k and give x.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5610 and 1360590.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/9 and -107\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssee when four letters picked without replacement from sesnnssessssenssenee?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h**3 + h**2 + 53*h + 94. What is q(0)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/13)*s**(1\/10)\/s*s*s)\/(s**9\/s*s*s**(-5)))**(1\/3) assuming s is positive.\nAnswer: s**(-407\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-133)\/741 - (-4)\/(-26). Which is the biggest value? (a) -0.06 (b) -0.09 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196\/(-21)*-9*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 19. Sort -5, b, 2 in decreasing order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073129 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2034)\/(-8475) - (-2184)\/(-350)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465047 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3)\/(5\/(-15)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52816.3 minus 6?\nAnswer: -52822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 15 = -3*h. Let u(x) = -6*x - 49. Let y be u(-9). Sort y, -2, h.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 31718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07127 + 0.06727. What is the third biggest value in i, 0.4, 0.9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*g - 156 + 169 = 0, 2*x - 13 = g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m**2 + 7*m - 3. Does 19 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63335 divided by 5\nAnswer: -12667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 66, -1, 3 in decreasing order.\nAnswer: 66, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 18*b + 25. Let p be n(17). What are the prime factors of 34 + (3 - p) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 116*j**3 + 28*j**2 + 88*j - 28. Let s(c) = -21*c**3 - 5*c**2 - 16*c + 5. Let f(x) = -5*h(x) - 28*s(x). What is the second derivative of f(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - o**2 + o - 1. Let f(u) = -83*u**3 - 114*u**2 + 5*u - 5. Let h(i) = -5*a(i) + f(i). Find the third derivative of h(p) wrt p.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/13))**7)**(-38) assuming l is positive.\nAnswer: l**(266\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (3 + sqrt(432))) + sqrt(432) - (sqrt(27) + (sqrt(27)*2 - sqrt(27)))) + ((sqrt(192) + -3)**2 - (-2 + sqrt(300))**2).\nAnswer: -106 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1602 and 35118?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = 4*x - 6, 0 = b + 5*x + 10. Suppose 2*s + 4 = -3*u, 5*u - 15 = -8*s + 9*s. Is 140\/8*(u - b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -21 + (10 - (9 - (-2 - -4)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4260683 + 6477748. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 52 = -2*p, p - 20 - 7 = -t. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:38 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-85)\/5)*15\/(-3). Suppose 0 = -4*x - h + 204, -2*x - 4*h = -7*h - 88. Suppose -45*q = -50*q + x. What is the greatest common divisor of q and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -0 - 4, 3*m = 3*o + 7 - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 91, 3.\nAnswer: -194, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6*n - 9. What is the least common multiple of 4 and (-92)\/(-12) - 2\/n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -37*g**2 - g**3 + 38*g**2 + 0 + 0 - g. Let t(i) = i**2 - 7*i + 8. Let m be t(6). Determine n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -334\/605521?\nAnswer: -334\/605521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let j(g) = -2*g + 13. Let l(d) = 4*h(d) - j(d). Let w be l(-9). Let p be (-2)\/(-5*(-6)\/(-60)). Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n - 1. Let l(g) = 2*g**2 + 5*g - 1. Give 5*f(m) - 3*l(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.899 + 20.8999177. What is c rounded to five dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 5 + 5 + (3*d - d - d)*(-2 + 1 - 1) - 1860*d - 1882*d - 2545*d + 761*d + 362*d to the form b*d + q and give b.\nAnswer: -5167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(88)\/(sqrt(392) + sqrt(392)*1) - (0 + sqrt(1584) + 0)**2) + 3.\nAnswer: -1586 + sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*r + 230*r + 6 = 0. Suppose -5*u + 7 = -8. Is (-4)\/r + 26392\/12 + u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67, -34, -1, 26, 41, 38, 11?\n\"Answer: -s**3 + 6*s**2 + 22*s - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:39 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 493966 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3\/(q**(-1)\/q))\/(q*q**6*q\/(q*q**(-2\/9)\/q*q)*q))**(-18))**(-3\/2) assuming q is positive.\nAnswer: q**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12. Let g(p) = -p + 4 - 4 - p**2 + p**3. Let f(o) be the third derivative of -o**6\/60 + o**5\/30 + o**4\/12 + 44*o**2. What is r*f(k) + 3*g(k)?\nAnswer: k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 - 3)\/3 - -820) + 0. Let d be ((-2)\/4)\/(2\/(-40)). Let z be k\/(-35) - (-4)\/d. Round z to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + b0ca4?\nAnswer: b0ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + 7\/28. Let h be (2\/16)\/(1\/6). Let j = -0.2 - -0.3. Which is the closest to q? (a) h (b) -4\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/24)\/r))\/r**16 assuming r is positive.\nAnswer: r**(-335\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7098, 14197, 21296, 28395, 35494?\nAnswer: 42593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/1577223 and -14\/27753.\nAnswer: 503134137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 270000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.68, 3\/2, 1\/10, 2\/1237 in descending order.\nAnswer: 3\/2, 1\/10, 2\/1237, -11.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 2, i: 2, e: 4, j: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 6 = 0. Suppose 0*l + l + 4*r - 341 = 0, 4*l - 1274 = v*r. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -29*s**6\/10 + 28*s**3 - 14*s**2 + 4. What is the first derivative of f(i) wrt i?\nAnswer: -1044*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1085 - -3140. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 1257 = 7*x. Suppose x*m = 167*m - 1760. Let f = 22 + -6. What is the highest common factor of m and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 8. Let c be n(-13). What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**3 - c**3 - 3*c**2 + 2*c**2)*(62 + 29*c - 62) in the form a + z*c**3 + r*c**2 + v*c**4 + p*c and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q**2 - 20*q**2 - 13*q**2 - 21*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.162 + 0.038. What is the closest to d in 6\/11, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/8 - -6)\/(2\/(-2)). Let w(x) = -x**3 + 8*x**2 + 9*x + 77. What are the prime factors of w(v)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = 5*t, 6 = -2*t - 5*h - 6. Let d = 37 + -24. Let q = t + d. What is the smallest common multiple of 4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/78)\/((-6)\/8). What is the nearest to p in -4\/5, 0.06, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2 + 2*b - 4. Let v be j(-3). Let f(i) = -i**3 + 5*i**2 + 6*i - 2. Let y be f(6). What is the remainder when (3\/(-3))\/(y\/v) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(150) + sqrt(150)*1) + sqrt(150) - sqrt(150))\/sqrt(5))\/((1*sqrt(40))\/sqrt(4) - -2*sqrt(30)\/sqrt(3)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99673 - 50383. Round g to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 1. Let f be z(1). Suppose f*j = 2*j + 6. Suppose 0 = 5*b + 3*o - 72, -b + 6*o - j*o - 4 = 0. Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3*u**3 - 2*a**3*u - 6*a**2*u**3 + 29*a*u**3 - 12*a*u**2 + u**2 - u wrt u?\nAnswer: -24*a**3 - 36*a**2 + 174*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 3*y**2 - 4*y**2)*(5*y - 2*y + 2 - 2*y + (-y + 0*y + 3*y)*(-2 + 1 - 1)) to k*y**2 + d + j*y + r*y**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 + -4067. Is v*((-4)\/(-10))\/(24\/(-30)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(-6))**(2\/17) assuming r is positive.\nAnswer: r**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -330321*r**2. Let n(l) = 31*l**2. Give z(n(y)).\nAnswer: -317438481*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -41 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*k + 893*k - 3*a = -85, 4*k + 5*a + 93 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/3)*m*m\/(((m\/(m\/(m\/(m\/(m*m*m\/m**(-2\/15)*m)))))\/m)\/m)*m**(-2\/11)\/(m\/m**(-7)) assuming m is positive.\nAnswer: m**(-439\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 0, -2*h - 3*h - 14 = 3*q. Let y be (0 - h)*17 - -4. Calculate the greatest common factor of y and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534483 divided by -6.\nAnswer: -178161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12251 in -3, 0, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -26*g + 28*g. Sort -3, g, 0.15, 1\/8 in increasing order.\nAnswer: -3, g, 1\/8, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194942393 to the nearest integer?\nAnswer: 13962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = 50*b + 635*b + 4648 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -865, -1731, -2597, -3463, -4329, -5195?\n\"Answer: -866*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t + 10*t - t + 9*t - 8 to k*t + b and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Let l(h) = 8*h - 2. Let o be l(-2). Let p be 4\/o - 120\/(-54). Suppose 4*u = p*u + 4. Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 2. List the prime factors of n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -2, -0.3, -5, 0.4.\nAnswer: -5, -2, -0.3, -1\/20, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8)*1) + (sqrt(136)\/sqrt(8) - sqrt(17))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -77. Let p be 3 + (0 - -2) + -1. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020168 to six dps.\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5675 and 1135?\nAnswer: 5675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -147. Suppose -k*n - 3*c + 32 = 0, -c - 1 = -5. Solve 15 = -n*w, w = -2*h - 2*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m - b = -7, 0 = 5*m + 3*b - 14. Let h(a) = a**2 - 3*a. Let d be h(5). Let l = m + d. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - 72\/(-5). Suppose 0 = -y + 58 - w. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*g - 2. Let o(i) = i**3 + 3*i**2 - 3*i - 4. Let z be o(g). Differentiate -7 + z + 2*k**4 + 2*k**2 - 2*k**2 with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 34 = 4*i + 10, -3*v = -3*i + 42. Calculate the lowest common multiple of 6 and ((-560)\/(-100))\/(4\/i).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -200.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/288 and 125\/2232.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*j)*(-1 + 0 - 1)*((-2 + 3 + 1)*(-6*j + 14*j - 4*j) + (-j + 0*j + 3*j)*(-6 + 2 + 2)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2152313 (base 6) to base 10.\nAnswer: -108117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20704 - 20714. Let n(j) be the third derivative of -j**5\/6 + 5*j**4\/24 - 3*j**2. Let r(u) = -u**2 + u. Calculate d*r(m) + 2*n(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1443.8 = -4418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 42 = -11*g - 266 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 9*l + 20 = -4*p, 4*p = 2*l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -6621, 2, -4 in increasing order.\nAnswer: -6621, -4, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyyyzyyzyzy. What is prob of picking 3 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 8*k - 8 = 4*k, -5*n = 3*k + 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 120. Let n = t - -25. Put 3, n, 5, -0.4 in increasing order.\nAnswer: n, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.3 and 1?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 2 + 5 + 82 + -93.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - o - 6*o + (-5*o - o + 5*o)*(1 - 1 + 2) + 0*o + 2*o - 3*o + (4 - 6 + 0)*(o - 2*o + 0*o) - 3 - 4*o + 3 in the form m + v*o and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1727.5311 months to years.\nAnswer: 143.960925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 3*u)*(-2*u + 0*u + 4*u)*(-12 - 9*u + 12).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/((-6)\/30). Let j be 3 - (-5 - l) - (-75)\/3. What is the highest common divisor of 525 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 7\/(-2))*-6. Suppose 5*d - y - 47 = d, -5*y = f. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81523 is divided by 336.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = 5*x. Suppose x*a + 162 = 2*a. Let p = -87 - a. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24326 - 24284 - i**2 + 49006.\nAnswer: -i**2 + 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (748\/44 - 4\/1). Factor -376*g + 201*g - 8 - p*g**3 + 2*g**2 + 207*g.\nAnswer: -2*(g - 2)*(g + 2)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 2*h**3 + 8*h**2 - 71?\nAnswer: -60*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let p(b) = -4*b + 11. Let r(w) = 2*w - 6. Let u(o) = 6*p(o) + 11*r(o). Determine u(d(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3668 and 5\/227416.\nAnswer: 227416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b534 (base 13) in base 5?\nAnswer: -102044114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, -5, 3 in decreasing order.\nAnswer: 13, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -561553, -561554, -561555, -561556, -561557, -561558?\n\"Answer: -w - 561552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*l + 44*l + 77*l.\nAnswer: 262*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222616683*i*z**3 + 4*i*z + 2*i + 15104128*z**2 wrt z?\nAnswer: 1335700098*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315370 - 0?\nAnswer: -315370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*g - 12*g = -23, 3*g + 2 = z. Let c(b) = -2*b + 10. Let q be c(3). Solve -4*l - z*u + 7 = -9, 5*l - q*u = -21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -503, -856, -1247, -1676, -2143?\n\"Answer: -19*r**2 - 258*r + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 225251.\nAnswer: 67575.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 16*o + 1. Let g be 4\/8 - (186\/4)\/(-3). What is the smallest common multiple of 26 and v(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -64*k + 1240. What are the prime factors of c(-17)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, -0.3, 0.2, 0.3, 0.8, -7, 24.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(252))**2.\nAnswer: -12*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20824340?\nAnswer: 2, 5, 37, 107, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*v + 7. Suppose 52 = v*u + m, -3*m + 10 + 6 = u. What is the second derivative of 4*z**3 + z + 0*z - u*z + 0*z wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Suppose -4*w - 20 = -0*w. Let b(j) = -9*j - 1 - 1 + 0 - 4. Let g(n) = -8*n - 5. Let d(i) = w*b(i) + 6*g(i). Give h(d(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/7 + 21086260*f\/7 + 55578795098450\/7 = 0.\nAnswer: -5271565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 2112232?\nAnswer: 2112205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r - 82. Let m be z(-7). Solve -7 = 2*h - 4*g - 29, -4*h - 4*g = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9, o = 3*q + 6*o - 1014. What is the units digit of (-200)\/(-30)*q\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -262 - -736. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - 3.69. What is the third biggest value in -0.2, -5\/4, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.72 - 24. Let t = n + 1.78. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 5. Let m be (-15)\/30 + (-17)\/(-2). Let x be m\/f*(0 - -5). Solve x*a = 4*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6797700?\nAnswer: 2, 3, 5, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4, -5*c + 1466*x = 1461*x + 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*c + 3 = 0, -3*c - 4 = 3*p - c. Let a = 1143\/7 - 163. Let z be -9 - -2 - 1\/((-12)\/180). What is the third smallest value in p, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 + 23*o**2 + 40*o + 17. Let a be v(6). Let z be 24\/(-15)*(-25)\/2. Solve a*k + z = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 4*t**3 - 5*t**3 + (-4 - 2 + 4)*(-2*t**3 - 3*t**3 + 7*t**3) + t**3 - 2*t**3 - 2*t**3 + 2*t**3 + 25*t**3 + 3340 - 3340.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5131702\nAnswer: 1\/5131702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -117*f - 22. Let b be a(11). Let l be (b\/4)\/(-7) + 12\/(-16). Is 47 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 5*h - 6. Let v be z(-5). Let f = 13 + v. Is (-2)\/(-7) - (-110)\/f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 35. Suppose 7*i = 2*i - 15. What is the units digit of i\/p + (-3)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3708 - 3737 = -q + 4*q, 23 = -14*f - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + -12. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10*z**(2\/57) assuming z is positive.\nAnswer: z**(572\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3*c**7\/7 - 3*c**5 - 35*c**3 - 61. What is the third derivative of x(b) wrt b?\nAnswer: -360*b**3 - 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 38161027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 332*v**4 - 4 - 7*v**2 + 336*v**4 + 2*v - 3*v**3 to s + m*v**2 + z*v + b*v**4 + r*v**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411787925*q**4 + 636283566*q wrt q.\nAnswer: -4941455100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -43?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8624626 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-816)\/(-192))\/(2\/72) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.6 (b) 0.2 (c) -8.6 (d) 1\/468\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (13702\/(-78) - -27)*(-6)\/(-149)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5) + 2 + -1 + 3 + 0 + (sqrt(80)*-3)**2 + 0.\nAnswer: 2*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(77\/112) + (-396)\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 33 + 67)*(-n + 0*n - 2*n) + (-7 + 1 + 2)*(3*n + 1 - 1).\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74660459 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = 3. Let x(l) = l**2 - 8*l + 8. Let d be x(5). Let i = o - d. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {d: 1, z: 2, f: 1, n: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (215*(-10)\/(-6020))\/(((-16)\/14)\/(-2))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 10*g**4 - 61*g**2 - 117*g**4 - 8*g**4 + 17*g**2 wrt g?\nAnswer: -3240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4455048 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.863 + -2.463. Which is the nearest to 0.1? (a) 2\/7 (b) 3\/2 (c) 6\/19 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*w + 43 - 66 - 13 + 53*w as h + m*w and give m.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50.2 - 50. Let w be (2 + (2 - 2))*(-2)\/8. What is the closest to b in w, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48658076*o**4 - o**2 + 6078529*o - 5?\nAnswer: 583896912*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-248)\/44*(-2)\/(-4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 699613\/30 + -23326. Let i = p - -631\/240. Find the common denominator of 3\/(-5) - (-9012)\/720 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 199.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385 and 4.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15663 - -23673?\nAnswer: 6010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020765971 - 24*r + 1020765971.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 4*t + 7. Let s be p(5). Suppose -n + 23 = -4*n + s*k, -2*n - 2*k = 2. Put n, 3, 2 in increasing order.\nAnswer: n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let o(h) = -49*h**2 + h. Determine o(s(k)).\nAnswer: -784*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3671*r - 1213*r - 1237*r - 1251*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 2*a = -154. Let j(h) = -h**2 + 7*h + 9. Let x(l) = -2*l**2 + 14*l + 18. Let v(f) = -5*j(f) + 3*x(f). Calculate v(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30226.020899 + 30226. Round y to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d**3 - 1426079*d**2 + 3*d + 33286846 wrt d?\nAnswer: -24*d**2 - 2852158*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, v: 10}. What is prob of picking 3 z?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2816, 1, 4 in descending order.\nAnswer: 4, 1, -4, -5, -2816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.257 + -0.053. Let x = -0.11 - z. Let s = -5 - -8. Which is the nearest to x? (a) 0.3 (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -49, -110, -195, -304, -437?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*n - 145 = 0, -2*y + 4*n + 35 - 89 = 0. Let b = -27 - y. What is the third derivative of b*f**2 - 13*f**5 + 2*f**2 + 3*f**2 + 8*f**5 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-48)*-4)\/(60\/(-30)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3023139\/11 + -275079. Let z = -248 - k. Which is the third smallest value? (a) z (b) -1\/10 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 12. Let d be s(7). Let j be -3 + d - (0 - -3). Let x(r) = -3*r**3 + 2*r**2 + 2*r + 1. Let c be x(j). Solve c*y = 1 - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/114274?\nAnswer: 15\/114274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2614451, -2614450, -2614449?\nAnswer: -2614448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**5*f*f))\/f)\/f*f\/(f*f**4\/f*f*f))**(-2\/117) assuming f is positive.\nAnswer: f**(28\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -3*l**3\/2 + 16*l. Let p(q) be the first derivative of 5 + 0*q**2 + 0*q + 2\/3*q**3. Determine p(j(m)).\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02809828684 to five dps.\nAnswer: 0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*(-10)\/75*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53602355 divided by -11?\nAnswer: -53602355\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -559.9 - -559. Let z = -505\/1018 - 2\/509. Which is the biggest value? (a) z (b) v (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 648.99999962 + -649. Round p to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = a - 27*h + 32*h, 18*a = 5*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-20)\/8) - 0. Suppose -1 + 5 = f*c. Find the third derivative of 4*u**5 - 3*u**2 - 2*u**5 + u**c wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3970 + -1871. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/12168 and -9\/794.\nAnswer: 4830696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144221?\nAnswer: 7, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16840790955 less than -1.75?\nAnswer: 16840790953.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78302 and 18377?\nAnswer: 1800946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*h**3*r + 2*h**3 + 6152*h**2*r + 2*h**2 + h*r + h - 6*r + 11150 wrt h.\nAnswer: 420*h*r + 12*h + 12304*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(((-3280)\/(-288))\/(-41)). Solve -d*n = -9*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29094276 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 140388.64 to the nearest one hundred.\nAnswer: 140400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.89552 + 9760.38.\nAnswer: 9782.27552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -86. Solve x - 6*x = 3*i + 3, -4*x - 3 = l*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*h**3 + 2*h**4 + 0 - 7\/2*h**2 - h = 0. What is h?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58886.33 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211132464?\nAnswer: 2, 3, 617, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {q: 1, v: 2, y: 3, c: 3, i: 1, s: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73695276 + -313.4.\nAnswer: -73695589.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-5)*c)\/c)*c)**(-7)*((c**(2\/15)*c)\/c*c)\/(c*c**(-17\/5)) assuming c is positive.\nAnswer: c**(473\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 2*y + 2*y)*(0 - 4 + 5) + 0*y + 5*y - 2*y + 0*y + 0*y - y + (5 - 4 + 1)*(-3*y + 6*y - y) + (0 + 0 - 2)*(0*y + 7*y + 2*y) to f + n*y and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 + 26*n**2 + 10. Let t(r) = -4*r**3 - 52*r**2 - r - 23. Determine 3*t(d) + 7*u(d).\nAnswer: 2*d**3 + 26*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6795, -13364, -19933, -26502?\n\"Answer: -6569*m - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 33 - 33. Let c(t) = 11*t**2. What is c(o(w))?\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 110*c - 335. Let n be r(113). Solve 32 = 4*h - n*g, -5*h - 9*g = -12*g - 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - 4*u)*(-2*u - 5*u + 4*u) + 135*u**2 - 42*u**2 + 102*u**2.\nAnswer: 198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 3*f, -4*f + 5 = u - 15. Suppose 188 = 2*g + 4*r, 4*g = -u*r - 2*r + 400. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:01 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 82422*t + 82103*t + 3890*t**2 - 1 - 1 wrt t?\nAnswer: 7780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 6*a + 1 + 0*a**2 + 16*a - 2*a**2 - a**4 to v*a**2 + o*a**3 + p*a**4 + i*a + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-22) - (6 + -8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -179, -172, -153, -116, -55, 36, 163?\n\"Answer: f**3 - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 39 (b) -10 (c) -1 (d) 2587\/6 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let p(l) = -3 - l**2 - 50*l - 48*l + 94*l. Let g(a) = 2*i(a) + p(a). Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 2. Let q(d) = 6*d**2 - 22*d + 10. Calculate 4*i(y) + q(y).\nAnswer: -2*y**2 - 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:18 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, n: 1, d: 2, f: 3, j: 5}. What is prob of picking 1 f, 1 n, and 2 j?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -3.\nAnswer: -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 364*c**3*i**3 + 2*c**3 - 8*c**2*i**2 - 6*c*i**2 + 2171*i**3 - 1445*i**2 wrt i?\nAnswer: 2184*c**3 + 13026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -618*(-2)\/(-3). Let o = 419 - w. Solve -4*s = o*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13607bd + a?\nAnswer: 13607c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, 6, -202 in descending order.\nAnswer: 6, 5, 1, 0, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 331\/3325 + 1\/175. Let z(m) = 2*m**2 + 33*m + 15. Let f be z(-16). Is l less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17051.61 decades in centuries?\nAnswer: 1705.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-3))\/((-10)\/15). Let s be (-1)\/6 - j\/(-20). Suppose 0 = d - 6*d - 35. Sort s, d, 0.4.\nAnswer: d, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k**(-5))\/((k\/(k\/k**(-2)))\/(k**4*k*k)) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let u be 329998 - (b*-6)\/3. What is u rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (828*f - 1356*f - 178*f)*(2 + 2 - 2 + (1 + 1 - 1)*(-1 + 4 - 1) + 3 - 2 - 2) as v*f + y and give v.\nAnswer: -2118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1193835 by 1.\nAnswer: 1193835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 1471 = 509. Suppose 242 = -49*s + u*s. Calculate the smallest common multiple of s and 920.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 3412*o**4 - 23716*o**3 + 23628*o**2 + 50760*o = 0. Calculate o.\nAnswer: -1, 0, 3, 5, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 6*d + 6*d. Let x(z) = -z**2 + 3. Let l(j) = -2*j**2 + 8. Let k(b) = -3*l(b) + 8*x(b). Calculate q(k(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*s + 2*s**2 - 340*s - 237*s - 11*s**2 + 14*s**2 - 6*s**2.\nAnswer: -s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 2*w = -4*h + 14, -7*h - 6*h = 9*h - 9*h - 23*w - 161 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 2636886?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 325 - 321 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462840896 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -72. Let o(x) = -x**2 - 5*x + 13. Calculate the remainder when g is divided by o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306436 - 2?\nAnswer: -306441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:42 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-9))\/((-8)\/6). Let k(h) = 36*h**2 - 2*h. Is 17 a factor of k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1625 = -3*x - 91, 4*x = z - 2281. Let u = -568 - x. Solve -5 = -5*b - 5*y, u*y = 5*b - 2*y + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 15, -12, 1 in decreasing order.\nAnswer: 15, 1, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/6 + 2\/3. Let u(i) = 2*i**2 - 4*i + 3. Let l be u(3). Let x be 154\/f + l\/15. What is the greatest common factor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 41. What is the lowest common multiple of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 134 = -38. Let k be (-1)\/6*-1 - (-4)\/r. Which is the nearest to k? (a) -1 (b) 2 (c) 31 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060620 greater than 9060600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 6873?\nAnswer: 6873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 8 = -5*v. Suppose -i + 3*n = -19, n = -5*i + v*n + 71. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59963, 59961, 59959?\nAnswer: 59957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5, 24, -217, 2 in decreasing order.\nAnswer: 24, 5, 2, 0, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*l + 2, 0 = 1545*l - 1547*l + 3*s + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1 + 1 + -2). Suppose h = 4*y - 18, -2*h + 2*y - 21 = -9. Let j be (p - 3)\/h*-3. Which is the smallest value? (a) 5 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 0, -2*p + 2*y - 3*y = -31. Find the second derivative of -2*j - 14*j**3 - 3*j**4 + p*j**3 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w = 5*v, -3*v = 5*w + 32. Let k(t) = t**3 + 4*t**2 + t + 4. Let m be k(v). Which is smaller: m or 2\/127?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 9 = -w + 5*g, 3*g + 9 = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + (-15278)\/(-4). Let g(q) = 1 - 1 + 3838*q - x*q. What is g(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*q = -131*q + 2156. Let m = -10 - q. Calculate the remainder when m is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.11 take away -676446?\nAnswer: 676884.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5614*l**3 - 13*l + 5616*l**3 + 13*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + l)*(2*l**2 - l**2 + 4*l**2) - 76*l**3 + 34*l**3 + 26*l**3 - 2 - l**3 + 2.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520994277?\nAnswer: 3, 31, 197, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 7*j + 6. Let o be 9\/(((-2)\/3)\/(8\/(-3))). Suppose -4*n - 2*n = -o. Calculate b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6 and 79\/8219158.\nAnswer: 24657474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:29 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 3. Let r(u) = -3*u - 29. Suppose -4*z + 3*z + 1 = 0, 3*n - 5*z - 142 = 0. Let q = 41 - n. Let k be r(q). Give l(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 54*f**2 - 4*f - 2. Let x be v(1). Differentiate 2 + x + 198*y**4 - 3*y - 202*y**4 with respect to y.\nAnswer: -16*y**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/4 + 5*a**3 - 2*a**2 + 16*a + 1. Let b be w(-15). Calculate the highest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 + 116*j**2 + 350*j + 2127. What is d(-36)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 0 + 1. Suppose 0*h = -2*h + 26. Suppose -c + 38 = h. Solve -w*t + 10 = 2*m, 5*t = -m + 2*m + c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -924 - -6737. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235868 + -18893419?\nAnswer: -18657551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.750519 rounded to zero decimal places?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35252416, -70504826, -105757236, -141009646?\n\"Answer: -35252410*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/2 of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 6. Let h be r(-2). Let d = 2\/9 - 49\/18. Which is the third smallest value? (a) h (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*f = -363 - 637, 0 = 3*u - 3*f - 579. Calculate the greatest common divisor of u and 2673.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157525458.\nAnswer: 2, 3, 101, 259943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/27)\/(-1)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let l(g) = -838*g + 17. Give m(l(h)).\nAnswer: 1676*h - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14454.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/580 in 0.5, 29\/7, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52219753 is divided by 3481310.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4079 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 28. Let f be a(7). Solve -2*i = -f*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -919*j. Let n(y) = -10*y - 27. Let l(w) = w + 3. Let p(v) = 18*l(v) + 2*n(v). What is t(p(r))?\nAnswer: 1838*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 4*y**2 + 3*y**2 + 5*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-2 + 2) - (19 + -19 + 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 3*z**2 - 4*z - 6. Let x be o(-2). Is (-2455)\/x*(7\/5 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 + (-206)\/13. Let j be g\/(-24)*39\/2. Is 47880\/78 - (-2)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*z - 0*b + b, -5*z - 2*b + 128 = 0. What is the lowest common multiple of 96 and z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*((-6)\/(-63))\/((-440)\/2310)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.05752 rounded to one dp?\nAnswer: 40.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {r: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1030302120?\nAnswer: 1030302110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*w + 264*w + 682*w.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-40 - 6\/6). What is the greatest common divisor of b and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 20333?\nAnswer: -21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 6. Let d be f(-4). What are the prime factors of d\/4*34*3\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/41211 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4174 + -4168. Solve 0 = -t*l + l - q - 28, 0 = 3*l - 5*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74514.8? (a) 0.05 (b) 1\/2 (c) 1\/3 (d) -0.1 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (15 - (2 - -2))) + -11 + 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18\/19, -4.5, 4, -2\/3?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848.51mg in micrograms?\nAnswer: 2848510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794169604?\nAnswer: 2, 5869, 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2879, 2861, 2839, 2819, 2807, 2809?\n\"Answer: b**3 - 8*b**2 - b + 2887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -m + 2*q, -4*m - q - 5*q = 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2198 + 215*c - 2198.\nAnswer: 215*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45465 by 9093.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -402720 divided by 30?\nAnswer: -13424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9276711 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684) + 0 + 0)**2 + 0 + -1.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44437 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-5\/3)*n*n\/n**(-10\/11)*n assuming n is positive.\nAnswer: n**(107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 2, w: 8, u: 5}. Give prob of sequence zu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*i + 7130819 = 7130787, m + 27 = -4*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/10)\/((-18)\/15). Let m(d) be the third derivative of 0 + 0*d**4 + 0*d - l*d**3 - d**2 - 1\/30*d**5. What is the derivative of m(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201013 - 1110?\nAnswer: -11202123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4669\/10 + 467. Let s(t) be the second derivative of -9*t - 1\/6*t**4 + 0 - 1\/3*t**3 + t**2 + b*t**5. Factor s(g).\nAnswer: 2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129012722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -3)*1 + 3. Suppose w + 0*w = -y*n + 10, -n - 5 = 4*w. What is the first derivative of -n*g**3 + 3*g**3 - 4*g**3 - 1 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -199\/8 or -25?\nAnswer: -199\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.9, 31, -0.4, 110, -5.\nAnswer: -5, -0.9, -0.4, -0.1, 31, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6*12\/8. Let g be 4\/(28 + 4)*-2. What is the third smallest value in k, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. Suppose p = r - 0. Differentiate 12*h - 7*h - p - 8*h wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -3c?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 + (0 - (-3 + 5))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420139.\nAnswer: 7, 202877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*v - v + 93 = 0, 0 = 10*z + 2*v - 174 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536091022 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 11. Find the common denominator of s\/(-36)*136\/(-42) and (-170)\/(-90) + 6\/(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:15 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 26*v - 124. Determine s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u = -4*u + 23, -2*u - 38 = 4*g. Let b(m) = 2*m**2 + 23*m + 32. Let c be b(g). Solve 5*y + 5 = -5*d, 0 = 3*d + c*y + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.77 - -0.23. Let m = 12.8091 + 0.1909. Let k = m - s. Is 1\/22 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 23 + 22)*(-3*c + 0*c + 6*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + y, 3*d + 5*y - 18 = 2*y. Suppose -2*g = -0*b - b - 1399, g - 704 = -d*b. What is g rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 5. Suppose k + 24 = -k. Calculate the remainder when (-112)\/(-6) - 2\/(-6) is divided by h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 5*p - 969 = -950, -3*l + 1 = 2*p + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2360\/187 - -230\/17. Let z = -3.08 - -0.08. Which is the second biggest value? (a) 1 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 + (5 - 8)) - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 84 = 23*j. Calculate the greatest common factor of j and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -109.58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2758852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*p - 3*w, -w = 4*p - 3*w - 34. Find the common denominator of ((-116)\/48)\/(p\/(-6)*1) and -125\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 7, z: 4}. What is prob of sequence jjju?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 37*r + 3*r - 62 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 52*d**2\/11 + 258*d\/11 - 10\/11 = 0?\nAnswer: -5, 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 412939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -53.1. Let r = 0.236 + -0.036. What is the second smallest value in t, 6, -2, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from apappkkaaakpaaakk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140897206*q**4 + 134744586*q**2.\nAnswer: -3381532944*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -59, -123, -199?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86284)\/2516 + 2\/34. Which is bigger: -35 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*y - 56*y + 288. Is (9 + -51882)\/((y\/4)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 - 25027*f**2\/2 - 313100*f - 1252600 = 0. What is f?\nAnswer: -20, -5, 25052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320 or 0.39947?\nAnswer: 0.39947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*b - 5 = -19, -2*a + 2*b = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 2\/801, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195562423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 + 2224*v**3\/9 - 635680*v**2\/9 + 9609728*v\/9 = 0 for v.\nAnswer: 0, 16, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200344857.\nAnswer: 3, 239, 279421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 21. Suppose -4*p + 2 - 14 = 4*t, -t - 5*p - i = 0. Let l(v) = -v**2 + 16. Let f be l(t). Calculate the greatest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 38 = c, -3*c - l + 3 = -4*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.8800484076 + -0.1199520424. Let a = 35 + o. Round a to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 83. Suppose 5*z = -0*k + b*k - 230, 0 = 2*k + z - 98. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.03467 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 50 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + -5 - 6 - -12 - -9) + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 455\/(-156)*(-378)\/294\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6465981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16548, 33089, 49630, 66171?\nAnswer: 82712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430347 (base 8) to base 2.\nAnswer: -100011000011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -82, -150, -234, -328, -426?\n\"Answer: z**3 - 17*z**2 - 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 3*z**2 - 7*z + z + 4*z to t*z + w + d*z**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 114?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.7151 + -36.5.\nAnswer: -64.2151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 7, k: 3}. Give prob of sequence zkzx.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 266266158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12101349?\nAnswer: 3, 13, 310291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18000)\/504 - -35)*3\/75.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avchppvpahcpchcccpcc. Give prob of picking 1 c, 1 p, 1 h, and 1 a.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2644 and 35\/6?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, d: 1, v: 2, l: 2}. What is prob of sequence zv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15888 = -21*v + 10131. List the prime factors of v.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8))**(-34) assuming m is positive.\nAnswer: m**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3613 is divided by 919?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 8) in base 7?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1 + d**2 + 3 + 3 - 4. Let u(n) = -22*n**3 + 4*n**2 + 8*n + 7. Let l(i) = -4*t(i) + u(i). What is the units digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.58, -2, 4 in descending order.\nAnswer: 15, 4, -0.58, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - z**3 + 8*z + 3 + 2*z + 7*z**2 + z. Let g be j(6). Suppose 2*q + 0*q - 4*t - 182 = 0, q - g = 4*t. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 + -112. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*z + 12724, 3*b + 4*z - 8091 - 1451 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from iqssiiviv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1549.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 941344795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5336)\/(-48) - (-1)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, l: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22210210122121 (base 3) in base 8?\nAnswer: 21665717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1847 plus 0.9?\nAnswer: 0.7153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111655962877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 - -316. Suppose -a*u = -67*u - 39. Suppose 0 = -n - n - 8. Sort 0.05, u, n.\nAnswer: n, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2*n**6 - 3*j**2 + 2*j*n**2 - j*n + 4*j - 2794968*n**6 + 285629*n wrt n?\nAnswer: 600*j**2*n**3 - 335396160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxxqtsttgx. Give prob of picking 2 x, 1 q, and 1 g.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:16 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 1. Let z(x) = -3*x - 6. Let v be (-51)\/15 - 2\/(-5). Let h be z(v). What are the prime factors of b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 5. Let x be (o - (3 + -1)) + 19. Solve x + 1 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239749036 divided by -27124\nAnswer: 8839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + z - 4*z**4 + 208 + z**3 - 210 in the form r*z**2 + o + p*z**3 + d*z + t*z**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + ((-24)\/(-4))\/2 + -3. List the prime factors of ((-9)\/2)\/t*152.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 3 = w, -4*w + 14 = 2*a. Let c be a + ((-7)\/(-14))\/((-2)\/4). Sort 5, c, 1 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*3\/(6\/1). Solve -6 = 3*r + h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 664, 5, 45\/88?\nAnswer: 45\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 8, d: 6, p: 3}. Give prob of picking 2 d and 1 p.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1556*h**2*m*z**2 + h**2*m*z + 2*h*m*z**2 + 27280*h - 2*m*z**2 wrt h?\nAnswer: -3112*m*z**2 + 2*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.63 (b) 13530 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950536 is divided by 24685.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.4 (c) -2.248 (d) -1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -4 - 8298\/39. Let o = v + 215. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.96 + 0.05. Let s = 197540836 + -197540834.08999838. Let p = j + s. Round p to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 830*((-44)\/8 + 6)*(-5)\/(-1). Which is smaller: 2077 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(5))\/sqrt(4) + sqrt(275)*1)**2 - (sqrt(891)*1*-3)**2.\nAnswer: -7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*4\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264891276 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120986602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 827\/(-396) - 2\/(-8). Let i = n + 1\/198. What is the common denominator of -93\/2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*y - 23055, -144*z - y + 23087 = -143*z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4\/((-75)\/(-36) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12947 - -4230. Let i = z + -8418. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and -0.932.\nAnswer: 0.34484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-1)\/f*f)))**(4\/5)*(f*f\/(f\/(f\/(f*f**6))))\/(f*f\/(f*f\/(f**6\/f))*f) assuming f is positive.\nAnswer: f**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561805 is divided by 1152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 11*r + 5*l = 15, -3*l + 20 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 7:20 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58997a (base 11) in base 16?\nAnswer: e4672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1\/2, 2, 1 in descending order.\nAnswer: 11, 2, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let x = -26.56 + 23.5. Let s = x + 0.06. Which is the second smallest value? (a) q (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -967, -1258, -1735, -2398?\n\"Answer: -93*r**2 - 12*r - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + 135\/(-12)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 603600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + 3 + -1 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 - 3 - 3*t**4 + 4*t**4 + (4*t - 5*t - 2*t)*(t**2 - 3*t + 3*t)*(-88*t - 245*t - 12*t).\nAnswer: 1036*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 397 = 299. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 + 11834?\nAnswer: 11777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4 + 2*(1 + sqrt(19)) + 1 + sqrt(171))*4)**2.\nAnswer: 1920*sqrt(19) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -387. Let s(x) = -9*x**3 + 3*x - 4. Let r(l) = l**3 + 1 + 3*l - 2*l - 2*l. Let b(w) = o*s(w) - 3*r(w). Differentiate b(p) with respect to p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13976 times -4\nAnswer: -55904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3539572.8 plus -4392?\nAnswer: -3543964.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 286251.66 months?\nAnswer: 23.854305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71914866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -27.08. Let f = s - -0.08. Which is the biggest value? (a) -6 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-442))\/(1\/(-102)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Let p = 0 - f. Let d = 0.775 + -0.875. Which is the smallest value? (a) p (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1, -4, -70 in increasing order.\nAnswer: -70, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178.0695 + 178. What is t rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*i**2*m**2*n + 3*i**2*n - 2*i**2 - i*m**2 - 3*m**2*n - 20 wrt i.\nAnswer: 162*m**2*n + 6*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, l: 3}. Give prob of sequence lgg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 20*i**3 - 18*i**3 - 2 as z + n*i + t*i**2 + p*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 16 = 0. Solve 0 = s - b*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2*m - 1. Suppose 0 = -3*i - 3*o - 0*o - 3, -2*i + o = 11. Let n be q(i). Let w = -5 - n. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972095417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*j - 168. Let g be 8\/14 - (-972)\/j. Solve 0 = 4*l - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46\/(-18))\/(-1) - (6 - 3). Which is the third smallest value? (a) -2\/7 (b) -1\/24 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 209628097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8872 divided by 4\nAnswer: -2218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from bkkrgrqgf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:01 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-10)*(2 - 10). Suppose 4*g + 25004 = 5*m - s*m, 0 = -4*m - 2*g + 99998. What is m rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191770 is divided by 38352.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9598705848312025.10000058 + 9598705937330213. Let w = l - 89018193. Let u = w - -5.1. What is u rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = x, -2*x + 0*x + 6 = 2*i. Suppose i = -5*m + m + 12. Let c be (4\/m)\/((-6)\/(-9)). Solve -20 = 3*s + c*s - 2*h, 5*s = -5*h - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10228890, -20457773, -30686660, -40915551?\nAnswer: -51144446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(1 - -1) + -122. Let t be (5\/5 - j)*1. Suppose 3*b = -5*g + t, -26 = -5*g + 2*b + 78. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234 + 233. Are h and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1307 - -1307. Is 17\/13 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**7\/105 + q**6\/60 - q**5\/30 - q**4\/12 + 3*q**2\/2 - 8. Let h(k) be the second derivative of o(k). Solve h(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -77*c**3 + 9*c**2 + 7*c + 18. Let q(w) = -38*w**3 + 4*w**2 + 3*w + 8. Give 9*q(i) - 4*y(i).\nAnswer: -34*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 26*u**2 - 28*u + 49. Give l(25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/221610 and 131\/132966?\nAnswer: 664830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/3 - 270105*w - 18636716\/3 = 0.\nAnswer: -810292, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 46 = -4*v, -28*m - 8 = -28*m - 4*v for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*i - 7, 4 - 2 = 2*i. Factor 2503 - 2503 + 3*j**2 + y*j + 2*j**4 - 3*j**4.\nAnswer: -j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852044.8 years to millennia.\nAnswer: 852.0448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2527 and 445515.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by -21.\nAnswer: -361\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - a - 13, 4*a + 1 = 3*c - 0*c. Suppose 75 = c*l - 6*l. Is l at most -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 1. Let h(m) = 7*m + 1. Let a(v) = -2*h(v) + 5*l(v). Let q be a(-9). What are the prime factors of (-230 - q\/(-3))\/(-2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -22. Suppose 2*r = -0*r. Calculate the least common multiple of o and (r - 0) + 9 + 2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 628*y**2 + 2522*y - 48. What is w(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 609384 and 336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 3172*q + 518412. Let b(o) = 4*o**2 - 3166*o - 518411. Let p(t) = 8*b(t) + 9*h(t). Factor p(g).\nAnswer: 5*(g + 322)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 61, 97, 149, 223, 325?\n\"Answer: p**3 - p**2 + 22*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -5*w + 4, -5*x + 3*w = -11. Suppose 2*d + 0 = -x. Which is the biggest value? (a) -0.3 (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - p - 15, 12*l + 2*p - 4*p = 2*p - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3184555 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1064*b + 4247. Calculate u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2 - 22*x - 4. Let w(a) = 3*a**2 + 7*a + 1. Let l(i) = -2*d(i) - 7*w(i). Let t be l(-4). Solve -5*n - 12 = j, -3*n = t*j + 4 + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 7360*g**2 + 52998000*g + 46129691520.\nAnswer: -5*(g - 4376)*(g + 1452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/21 and 19\/186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -324344 divided by 2\nAnswer: -162172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11492*g + 2091*g + 56*g - 5821*g.\nAnswer: -15166*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 3105 - 1702 = 0. Let i = 1144 - v. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -35787.69?\nAnswer: 644178.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + s**2 + s - 1. Let y(k) = -7*k**2 + 7*k. Let f(x) = 3*x**2 - 3*x. Let r(l) = 5*f(l) + 2*y(l). Let w be r(-1). Calculate v(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 4. Let u be o(3). Let q be (1 - -2) + 4 + u. Solve 4*b + 6 = -q*g - 3*g, 2*g + 11 = -5*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 28731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4.6, -35\/6, -3 in descending order.\nAnswer: 3, -3, -4.6, -35\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*z - 11, 0 = 3*z - 2*z - 3. Let l = q - -7. Suppose l*g - 65 = 55. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -11, 7\/122, 0.3 in increasing order.\nAnswer: -11, -3, 7\/122, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -100112112 (base 3) in base 14?\nAnswer: -2769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1490, 4, -2\/5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3581624 and 45079830?\nAnswer: 48661454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(-48)*(r**(2\/9))**(-7\/6))**(-7\/3))**32 assuming r is positive.\nAnswer: r**(291872\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 153?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 19. Let j be k(-18). Let w be j + -5 - 39\/(-9). What is the closest to w in -2\/3, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = 2. Suppose c = l*c. Suppose c = -4*t + 5 + 7. Solve t = 3*r - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svlyylylzsyys. Give prob of sequence zvl.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 5709 = 831. Let o = l + -171. What is the highest common factor of 106 and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149327 (base 10) to base 3\nAnswer: -21120211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1765157 divided by -28937\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9964 + -10012. Let f(q) = -q**3 - 46*q**2 + 96*q - 18. Give f(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251, 4883, 11031, 19773, 31187, 45351, 62343, 82241?\nAnswer: 105123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*p - 0. Calculate the common denominator of 59\/76 and p + (-495)\/(-80) - (-2 - -4).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1573 and 10114?\nAnswer: 1223794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8606959 is divided by 794.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -8 - 44. Let a be 3 + -2 + -3 + 8 + o. Suppose -3*w = a*q - 44, 0 = -5*w - 8 - 2. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 317750*w + 17.\nAnswer: 317750*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.805 - 6.18.\nAnswer: -4.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -75 (c) 0 (d) -21\/9880\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y**2 + 4*y + 3. Let z be l(-1). Find the second derivative of -75*t**2 - z*t + 0*t - 8*t + 3*t wrt t.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30547\/(-33) - 12)*-3. What is the greatest common factor of f and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -142 + 125 - 398*h + 15 as l + v*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161867*d**2 - 80934*d**2 - 80932*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1045 + -1038. What is the third biggest value in -0.1, f, -10, -2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34664 divided by -750.\nAnswer: 17332\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017209 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 (base 8) in base 7?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 + 3*o**2 + 8*o**2)*(-2*o + 0 + 0).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 0. Suppose -k*p = -4229 - 12481. Suppose t - 6*t = -p. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 3*x, -1596*x = -1597*x - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/9)))**47\/((d*d**6)\/(d**2\/d)) assuming d is positive.\nAnswer: d**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = m + 20, -14*x - 5*m = -17*x + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -32.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2421 + 3389. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670 is divided by 533?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147978 by 2.\nAnswer: -573989","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1498)\/(-18) + 2\/(-9). Let x = v - -36. Suppose -10 = -2*a, t + 166 = 5*a - x. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x - 4. Let u be p(6). Let m be (u\/(-21))\/((-2)\/15). Calculate the highest common divisor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323835 and 971505.\nAnswer: 971505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8882880 and 62472?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 23 - -3 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1 - -13) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 2. Let j(v) = v**3 - 58*v**2 + 22*v + 10. Give j(n) + 11*m(n).\nAnswer: n**3 - 58*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0.5, 30\/11, -4.\nAnswer: -4, 0.5, 2, 30\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 divided by -367?\nAnswer: 744\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-7)\/2 - 1. List the prime factors of 2583\/135 - (-2)\/a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/592877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2151370 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18762452 is divided by 956?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 10 + 0*o + o)*(2*o**2 - 4*o**2 + o**2) in the form d + b*o**3 + s*o + m*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332682 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 292*-0.05\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.32 * -0.3\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1310?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-478)\/(-239)*(-38)\/4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 25*g**2 - 3*g - 18. Let s be l(-7). What is the highest common divisor of s and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 18208456?\nAnswer: 91042280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473.579ml to litres.\nAnswer: 0.473579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(165 - 12 - 8)*(-8*m + 2*m - 4*m).\nAnswer: -2900*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3826\/77077 or 0?\nAnswer: 3826\/77077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 1356*o - 61052. Give f(-44).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 980*o - 22345. Suppose -5*b + 0*b - 103 = -4*c, -4*c + 79 = 3*b. Calculate the remainder when g(23) is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {q: 1, e: 4, p: 4, w: 2, a: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*(-2)\/(-4))\/(-3). Suppose 2*f - 130 = 4*t, 5*f + 5*t - 250 = -c*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006412 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-7) + 30\/105. List the prime factors of -4*((-21)\/(-12))\/n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 929*o**2 - 10*o - 30. Let y be w(-4). Suppose 5115 = -s - p, 2*s + y = 2*p + 4664. What is s rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 - 6 - a**2 - 13*a - 4*a**2 - a**3 + 11*a. Calculate d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186\/24 - (-2)\/8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + b - 3*b - 25, -5*o + b = -20. Let j be (1 + -1)*(-2)\/6. Suppose 3 = -2*x - 3. Sort o, j, x.\nAnswer: x, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = x + 12, -x = 2*b - 8. Suppose 2 + b = 3*a. Factor -5*l**a + 13*l**2 + 11*l**4 + 12*l**3 + 2*l**5 - 3*l**4 + 2*l.\nAnswer: 2*l*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:20 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**2 + q**3 - 12*q - 2*q**3 + 12*q wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112121 + -212202112?\nAnswer: -1010022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.033 at least 3404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Suppose -r = -2*o + 6, 3*r = 4*r + s*o + 12. Is (-58)\/r + 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110212332 - 0?\nAnswer: 110212332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1882.484 and 912380.\nAnswer: 914262.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**2 - 8*m - 14. What is l(-4)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 390750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -111432 and -0.1.\nAnswer: -111432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*n**5 - 9*n**5 - 19*n**5 - 29 + 12*n**3 + 0*n**5 + 2*n**5 - 3*n**5 + (-2*n**2 + 3*n**2 - 2*n**2)*(-2*n**2 + n**3 + 2*n**2).\nAnswer: -n**5 + 12*n**3 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4536 and -163\/65520.\nAnswer: 589680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6*k**2 - 9*k - 7. Suppose u - 35 = 6*u. What is the smallest common multiple of 11 and l(u)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.52751l to millilitres.\nAnswer: 79527.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -543201452 (base 6) to base 16\nAnswer: -939c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 10. Let k be l(7). Suppose k*n - 37 = 15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1850797, -1850790, -1850783, -1850776?\nAnswer: -1850769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980535.51us to days.\nAnswer: 0.000011348790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158510908*t**2 + 159368662*t.\nAnswer: 317021816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526 - -1576\/3. Which is the second biggest value? (a) -2\/23 (b) n (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 6955?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1042243114 (base 5) to base 16\nAnswer: -232ff2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -273, -419, -633, -921?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.03, -0.3, 2\/45, -7, 2, -1\/2, -3\/283?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.413l to millilitres.\nAnswer: 168413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 + 232.8. Which is the nearest to d? (a) -3\/4 (b) 2\/9 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 9*x + 402. Calculate the remainder when x*((-7)\/35)\/((-2)\/(-5)) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8519.\nAnswer: 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Suppose 2*w - 4*o + 9 = x, 0 = w - 5*o + 13. What is the third derivative of 2*b**6 + b**6 - w*b**6 + 2*b**2 - 4*b**2 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*v + 15 + 417 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120100 - 1010?\nAnswer: 112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1683850 and 206024.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2033, 1, 6, 3, -3, 0 in descending order.\nAnswer: 2033, 6, 3, 1, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.2, 10 in increasing order.\nAnswer: -0.2, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69286071 or 69286073?\nAnswer: 69286071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0 + 0 - 1)*(-3 + 3 + 3)*(-21*k**3 + 21*k**3 + 2*k**4) + (-2*k - 1 + 1)*(3 - 3 + k**3) - 3*k**4 - 2*k**4 + 3*k**4 + 2*k**4 - k**4 - 2*k**4.\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023839 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207 - 39*r**2 + 207)*(-2*r**3 + r**2 - r**2).\nAnswer: 78*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and -3303686049?\nAnswer: 3303686035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 346.143 - 346. Let q = s - -0.157. Sort 3, q, -1\/14 in decreasing order.\nAnswer: 3, q, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1259742.6 seconds?\nAnswer: 20995.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + s. Let g be c(1). Suppose b = g + 43. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15 = -5*a. Suppose 0 = 2*v + 2*i - 20, a*v + 0*i = 4*i + 68. What is the units digit of 270\/v - 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/23, 0.16, -44, 1 in descending order.\nAnswer: 1, 4\/23, 0.16, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0. Let o = 0.4984 + -0.3984. What is the nearest to o in b, 1\/2, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(-3)\/(-18)*(2 + 0). Let -106*j**2 + 97*j**2 - 1 - i - 29*j = 0. Calculate j.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -36 - ((0 - 4) + 1). Suppose -18*h + 4*h + 658 = 0. Let b = v + h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 270 = 0. Let i(f) = f**3 - 6*f**2 + 6*f. Let d be (-2)\/4*-2*6. Let k be i(d). Calculate the highest common divisor of k and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 3, -1\/7, 32, -54 in increasing order.\nAnswer: -54, -1\/7, 0.04, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -1.1.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 4. Let h = 14 + -18. Let i(l) = -5*l + 7*l + 8*l - 35. Let s(u) = h*i(u) - 35*b(u). Let v(r) = 2*r**2. Calculate s(v(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.47811365 and -85.625.\nAnswer: -81.14688635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 16220338081749.\nAnswer: 16220338081749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -887, -872, -841, -788, -707, -592?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 174 = -3*n, -7*l = -2*l + 5*n + 200. Let k = l + 48. Solve k*h = h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 5*l + 3. Let d be m(-5). Suppose 74 = 3*j + 5*h, 5*j + d*h = 2*h + 94. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmm when four letters picked without replacement from mkkkkkkkmkkkmkkmkkkm.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -16, 3, -190, -5, -47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3636 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521*a**3 - 943*a**3 + 7383*a**3 - 1019*a**3.\nAnswer: 6942*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 338910 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 + 3. Let o = 234 + -344. Let n = o + 109.6. Which is the closest to r? (a) -2\/9 (b) n (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from lzpuull.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from syyhhswtssshhthyssts?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + l. Let t(w) be the second derivative of 1\/3*w**3 + 0*w**2 + 116 + 2*w. Determine t(h(z)).\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -175*i**2. Let d(v) = -4*v**2 - 347905. Give d(c(b)).\nAnswer: -122500*b**4 - 347905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.94 - 0.06. Let u = 3 - g. Let t = 8.72 - u. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*b, 2*s = -0*s - 4*b. Solve s = 3*r - 2*u + 12, -r + 2*r + 5 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103.072l in millilitres?\nAnswer: 1103072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + 99\/(-11)*1\/(-3). Suppose h*r - 6*r - 68 = -2*t, 0 = t + r - 35. Factor -g**2 + 85*g + 0*g**2 - 73*g - t.\nAnswer: -(g - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {x: 1, e: 1, h: 2, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115474 + 233078 = 28*i - 31548. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120808 divided by -6846?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/4, -60\/17, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f. Let x be o(-3). Let g be (-9)\/(-18) - (3 + 51\/(-2)). Suppose 4*u - n - x = 3*u, -3*u = -2*n - g. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 4. What is the lowest common multiple of (-8)\/32*(60\/(-3) + 8) and f(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60047767289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.05 + -0.05. Put t, -0.4, -1\/5 in decreasing order.\nAnswer: t, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -3, -19, 0.3, 1\/3, 92 in ascending order.\nAnswer: -19, -3, 0.3, 1\/3, 48, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 0.15. Let l = 4 + -7. Let m = l - -3.5. What is the second smallest value in m, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:28 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 19 - 13. Suppose -u = 3*u - k. Let l be -1 - (-1 - -1*u). Is l at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 10. What is the remainder when m(-8) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 51. Solve -4*o + 4*t = -0*o + 4, h = -5*t + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 5*i + 36*i**2 - 3*i + 2 = 0. Calculate i.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, -156, 3, 4, -17, -11 in descending order.\nAnswer: 38, 4, 3, -4, -11, -17, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/31701970 and -79\/8568100?\nAnswer: 317019700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138507 is divided by 333?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 e when four letters picked without replacement from emeeememeeee?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - 409*n - 1 + 409*n)*(3*n + n - 2*n).\nAnswer: 18*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 28. Let i be 6 + 6 + 2 + -10. Suppose 3*d + i*j = 12, -5*d + 8*j = 9*j - 3. What is g(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 14795100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*u - 103*u + 5032 = -15*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.2, 0.19, -77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 83*b - 484. Let m be s(32). Solve -28 = -117*j + m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7 = w - 3*n, -4*w + 22 = 5*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -3*c**7\/70 + c**3\/3 - 11*c**2. What is the derivative of a(t) wrt t?\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1218*d*t**5 + 2582*d*t**2 + 9*t**5 - 6*t**2 wrt t?\nAnswer: 73080*d*t**2 + 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 8:56 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-110)\/165 + -4754*1\/(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 17 = -n, 7*n = 2*l + 9*n - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*w + 3729, -6207 = -94*w + 89*w + 4*d. Is 59 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -305 + 4028?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 11*i + 16. Let z be n(3). Let q be 2\/z + (-9261)\/(-84). What is the greatest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:16 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - g. Let u = 11 - 12. Let w be h(u). Let s = -1 - -1.1. Which is the second smallest value? (a) s (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111476 by 157.\nAnswer: 111476\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 - 9*g**2 + g**2)*(6*g - 3*g + 3*g) + (167 - 8*g - 167)*(3*g**2 + g**2 - 2*g**2) to i*g**3 + q + v*g**2 + c*g and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 198*m + 3255.\nAnswer: 3*(m - 35)*(m - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -73, -424 in decreasing order.\nAnswer: -4, -73, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 734631.988 rounded to the nearest 10000?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 6:30 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79552 and 20603?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2328 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s + 814*s**4 - 4*s - 1115*s**4 + 15*s**2 wrt s.\nAnswer: -7224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/12 + s**4\/6 + s**3\/6 + 29*s**2 - 1. Let b(x) = x + 1. What is -4*b(w) + q(w)?\nAnswer: -5*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-65) - 10756\/(-52). What is the common denominator of 0 + 23\/l + 179\/90 and -61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 20*w - 10. Let q(d) = -d**3 + 11*d**2 - 9*d - 13. Let o be q(10). Let k be g(o). Let i = -44 - k. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - 24*s - 24. Let y be d(9). Let k(n) = -2*n + 4. Let q(l) = -2*l + 6. Let z(m) = y*k(m) - 2*q(m). Let p(t) = 24*t. What is p(z(u))?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*y + 1044, -18*g = -19*g - 2*y + 1062. Let d be 6\/16 - (1644\/g - 1). What is the biggest value in d, 9, -0.4, 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -115. Suppose -b*z = -21*z - 4326000. What is z rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -939, -929, -905, -861, -791, -689?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298487870 divided by -5.\nAnswer: -59697574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 6*t - 3. Does 15 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8311 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32971?\nAnswer: 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-4) + 2\/(-8). Suppose -1 - a = -4*f. Let j be (-10)\/(-55) + 10\/(-55). Is f greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c - 3*j, 0 = -2*c - 0*c + j + 3. Suppose -f = -c*f + 18. Let l be 3*((-12)\/f + 3). Solve 4*d = -d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -83, -137, -201, -269, -335, -393, -437?\n\"Answer: t**3 - 14*t**2 - 3*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8380100 to the nearest ten thousand.\nAnswer: 8380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 - 185.8. Which is the closest to -4\/7? (a) -5 (b) -1 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0*4\/16) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 - f**5 - 2 + 4*f**3 + 4 + (-f**4 + 0*f**4 + 0*f**4)*(2 - 2 + f).\nAnswer: -2*f**5 - 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -11\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14097)\/(-254))\/37*96\/2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2126, 17, -530 in ascending order.\nAnswer: -2126, -530, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 15 = 0. Suppose -v*a + 11 = 2. Suppose 0 = -t - 3*j + 28, 45 = 2*t + a*j + 4. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 0*d)*(405*d - 832*d - 13 + 436*d).\nAnswer: -9*d**2 + 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7180 and 0.2?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttkktttkk. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -3. Let w(y) = -y + 1. Let s be w(t). What is the units digit of (-14)\/s - (2 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/(j**(5\/4)\/j))\/((j*(j\/(j*j*(j**(-21)\/j)\/j))\/j)\/j**(3\/7)) assuming j is positive.\nAnswer: j**(-891\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*l - 62 = -2*l, -2*l = -4*b + 138. Suppose 0*w + 63 = 3*w. Calculate the remainder when b is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 1 - 1 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11143*b + 100287. Give w(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5435 (base 10) to base 16.\nAnswer: -153b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21356*g**2 - 162 - 21355*g**2 - g**3 - 2*g**3 to the form f + l*g + x*g**3 + a*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.7? (a) 9.623 (b) 0.1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l + 4*l + 484 - 4982 = 281 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -0.5 (b) 42 (c) -44 (d) -7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.1 plus 0.62?\nAnswer: -518.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3034\/4)\/((-2)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524558 is divided by 262276.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530693854 a multiple of 5614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 42. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371644842 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 2*x - 163 + 2*x - x**4 + 78 - 2*x**2 - 7*x + 74 to o*x + y*x**4 + i + r*x**3 + d*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20847*n + 10425 = 23376*n - 52800 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 227.2. Which is the third biggest value? (a) o (b) 2 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 6*p + 6. Let d = 87 + -67. Suppose 4*r = -q + 5, -4*q - 4*r + 0*r + d = 0. Determine c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 42. What is the greatest common divisor of d and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + 0 + 0)*(-3 - 1 + 9)*(2 + 1 - 5) + 7 - 7 + 20*n**2 - 3 to the form c + r*n + p*n**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29218852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-2 + sqrt(175) + 1.\nAnswer: -15*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 35503 - 8175. Suppose 0 = 17*v - 26123 + j. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000977546039 rounded to 6 dps?\nAnswer: 0.000978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 + 1 - -1) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*v + 6, 3*v + 4 - 10 = 5*p. Suppose -3*d = -p*s + 5*s + 23, -5*d - 2*s = 13. Is (d + -1)\/2 - -146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let g = 0.3 + w. Let a = 0.1 - g. What is the third smallest value in a, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-24 - (12 - 29) - 30).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.9 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12*z - 10*z = 3940, 2*z = -a + 1967. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 0*g)*(0 + 0 - 1) - 3 + 2*g + 3 + 369*g - 163*g + 382*g + 459*g.\nAnswer: 1048*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**8\/2352 - h**7\/98 + 37*h**6\/420 - 11*h**5\/35 + 3*h**4\/7 + 4220*h**2. Find u such that m(u) = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3106, 3269, 3422, 3559, 3674, 3761, 3814?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-16))\/(-4*959\/224 - -17)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -1\/60*i**5 + 8\/3*i**3 + 4*i**2 + 0 + 0*i + 0*i**4. What is the units digit of u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-22)*(-9)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3*c**4 - 2*c**3\/3 + 7*c**2\/2 + 4*c + 19. List the prime factors of u(-4).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 58*a**2 - 94*a + 227. Is j(-62) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 3 + -5)**2 - (sqrt(1053) - (sqrt(1053) + 1 + 5)**2) - (3 + (4*((-1 + sqrt(1053) + sqrt(1053) - sqrt(1053)) + 3 + sqrt(1053)))**2)) + 1.\nAnswer: -65312 - 1089*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.615436 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose 3*b + 3*c = -6, 0 = 2*b - 4*c - r - 4. Solve b*x - 2*x - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011544.2 hours in days?\nAnswer: 42147.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t - 2. Determine d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = 2*f, -138*f = -140*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6. Suppose 2*a + 3 = 2*c - 23, 4*a = -20. Calculate the least common multiple of 2\/x + 0 - -11 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43859813 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 43269344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -11. Suppose 0 = 3*g + o*g - 2*w - 18, -4*g = 3*w - 19. Suppose -42 = -g*i + 42. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*-1*4\/8. Let x = -10.2 - -57.2. Let p = 43 - x. Which is the third smallest value? (a) k (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1871*y - 35. Let v be o(5). Round v to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (0 - (7 + 7)) + -25\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(2\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19817445 to the power of 1\/2, to the nearest integer?\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1684 - 908. What is the remainder when a is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (508\/3810)\/(4\/138)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 4*n - 134. Let w(j) = 5*j**2 - 18*j + 537. Determine -9*r(g) - 2*w(g).\nAnswer: -g**2 + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1313*f**2. Let c(m) = m. Determine i(c(h)).\nAnswer: -1313*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 - 21 = -8*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91995030?\nAnswer: 2, 3, 5, 1022167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**3 - 11*g + 11*g + 56 - 9*g**4 + 8*g**4 wrt g.\nAnswer: -4*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.131433058.\nAnswer: -0.065716529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose -5*d + 5*g - 6 = 24, y = g. Let s = -4 - d. Solve r + 4 = -s*f, -2 - 5 = -5*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -506264\nAnswer: 17\/126566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/13 - 30066*m**3\/13 + 30068*m**2\/13.\nAnswer: -2*m**2*(m - 1)*(m + 15034)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-1)\/1 - 723). Let d = -551\/2896 + p. Calculate the common denominator of d and -41\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**6\/360 - i**4\/24 + 31*i**3 - 7. Let h(s) be the third derivative of k(s). Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171314 divided by 3\nAnswer: -171314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 18*t - 39. Let v(y) = -y**2 - 14. Give 2*c(p) - 6*v(p).\nAnswer: 2*p**2 + 36*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 400589789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:59 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 + 4*c**3\/3 + c**2 + 15*c - 1768. Determine h(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 64817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-103)\/(18746\/(-455)))\/((-2)\/(-14)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98528480 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r*r**(-8))**34\/((r*r**(-3))\/(r*r**(-6)))**(15\/8) assuming r is positive.\nAnswer: r**(-5983\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 4, 5 in ascending order.\nAnswer: -4, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 7. Let r(b) = -644*b**2 + 115*b + 805. Determine 345*d(y) - 3*r(y).\nAnswer: 1932*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251347890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -24, -2, 4, -1, 2 in ascending order.\nAnswer: -24, -14, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24174 is divided by 390.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-2\/139)\/(o*o**(-2\/9)*o*(o*o*(o\/(o\/o**(-4\/5)))\/o*o)\/o)*(o**(-1\/6)*o**(-5)\/o)**(-8\/3) assuming o is positive.\nAnswer: o**(30151\/2085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 4. Let d(t) = h*t**2 + 0*t**2 + 3*t**2. Let i(q) = 8*q**2 + 10. Let k(w) = w**2 + 1. Let n(v) = i(v) - 10*k(v). Determine n(d(l)).\nAnswer: -162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 1.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -46, -1\/5, 0.09, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 436*q**3 + 5*q**2 - 6*q - 14. Let n be l(-5). Let v = n - -101520. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-45)*z)**(-27)\/((z**(11\/5)*z)\/(z**(-18)*z)) assuming z is positive.\nAnswer: z**(5839\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 145 = 0. Let u = p + -19. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236e1 (base 16) to base 3\nAnswer: 21101001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t)**(-11)*(t**0)**(-17) assuming t is positive.\nAnswer: t**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = 3*v + v, 0 = -5*v + 5. Let i be (-6)\/27*6*d\/(-14). Let l = -0.6 - -0.2. Which is the second smallest value? (a) l (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*8*9\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 - 2*g + 2. Suppose 0 = -2*c + 16 + 4. Suppose y + c = 4*m - 0, -5*m + 18 = -4*y. Does 2 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63220921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -151*b**2. Let k(j) = -29*j**2. Calculate k(r(a)).\nAnswer: -661229*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-28))\/(3\/(-16)). Let c = -666.7 - -927. Let f = 260 - c. What is the nearest to 0 in s, -34, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2. Let t(r) = -171*r - 3. Let q(u) = -172*u - 4. Let s(p) = -2*q(p) + 3*t(p). Determine w(s(m)).\nAnswer: 114244*m**2 + 1352*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3578485.\nAnswer: 5, 31, 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 16 + 54. Suppose l + w = 3*l. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2920 and 341240.\nAnswer: 24910520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*f + 23 = 4*h, -f + 46 = 5*h. Suppose h*q = 12031 + 14636. Suppose -4*c = -q + 711. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*g - 6*g**3 - 38*g - 1 + 72*g)*(60 - 13*g - 60).\nAnswer: 78*g**4 - 13*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 11.2. What is the smallest value in 0.5, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:00 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let w(z) = z - 1. Let i(j) = 3*j - 4. Let n(s) = -i(s) + 4*w(s). Determine n(t(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 679 times -4\nAnswer: -2716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*k + k + 41, -27*k = -24*k + p + 26 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k + 35. Let g = -4 - k. Let c(t) = 4*t**2. Let w be c(1). Solve 3*h = w*u - 9, -h + 0*u + g*u - 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10\/(-7) + (-8)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 178 + 26 = -25*g + 49*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5 + (-1*sqrt(192)*2)\/sqrt(4))*3)**2 + 1.\nAnswer: 4320*sqrt(3) + 11719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -911*v**4 + 397*v**4 - 259*v**4 - 1491*v**4 + (-5*v + 0*v + 2*v)*(4*v**3 - 5*v**3 + 2*v**3).\nAnswer: -2267*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35382, 35351, 35320, 35289, 35258?\n\"Answer: -31*m + 35413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 21*r - 71. Let y be k(-26). Suppose 0 = -9*v + y - 32. Solve -15 = -v*z - 2*z + 5*j, -3*j - 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/(-52)*6\/9). List the prime factors of i\/(-6*1\/8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4874514 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + ((sqrt(208) - -2*(sqrt(208) + (sqrt(208)*2 - sqrt(208))))*-2)**2).\nAnswer: 62412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 14*q - 44. Let k be z(18). Let t = 31 - k. Suppose n - 4*x - 80 = 0, n + t*x = 36 + 9. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485*r + 3*r**2 + 11 + 485*r)*(63*r**2 - 326*r**2 - 216*r**2 - 444*r**2 - 201*r**2).\nAnswer: -3372*r**4 - 12364*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 101*s + 181*s in the form a + c*s and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008545774997 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 52\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 10*b + 3. Let i be w(5). Suppose i*l = 220 + 23. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (23 + 4 + (-62 - 54))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -26. Solve 4*w + t - 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from uhuhhhbbhub.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2 - 25*a**2 - 30 - 4*a**2 wrt a?\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 392668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**4 - 9*m**3 - 9*m**2 + 9*m. Let c(w) be the first derivative of w**5\/5 - w**4\/4 - w**3\/3 + w**2\/2 + 4. Let f(i) = -18*c(i) + 2*k(i). Factor f(a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3386212014 to the nearest integer?\nAnswer: 58191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 = 51*t + 36*t + 205 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 8102 (b) -0.2 (c) 0 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8507 (base 15) to base 4\nAnswer: -12313210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 - 14*j + 19. List the prime factors of u(-9).\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*x + 10 = -g, -3*g + 2*x = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 153, 3\/10, 2742\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86)\/301*42)\/(0\/(-3) - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 1 l when three letters picked without replacement from lugyr?\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 66134 and 7353?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*j - 26930 = -26885, -3*j = -2*r + 18 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 - 32. Suppose -k - k + 46 = 4*u, 2*u = 3*k - q. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k - 20. Let x(h) = h**2 + 10*h + 21. Let b(p) = 3*r(p) + 2*x(p). Calculate the least common multiple of b(-10) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 4110, -2\/3, 19, -2\/13 in descending order.\nAnswer: 4110, 19, -2\/13, -2\/3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 divided by 154?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 68238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13032400 - 1444?\nAnswer: -13034344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 4, x: 3, o: 5}. What is prob of sequence qq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368 is divided by 274?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - k + 4 = 15, -k + 5 = -5*v. Let j = 4 + v. Which is smaller: j or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 + 11. Is s(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3 + 15*n + 3 - 14*n. Suppose 0 = -r - 1, 0 = -4*u - 2*r + 18 + 28. Let a(g) = u*g - 11*g - 2*g. Give k(a(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o - 0*o. Let h be 28\/30 + -4 + o. Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.35 + 0.35. Let q = -1.61 + m. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Suppose 0 = 3*g - 6*g - 117. Let a = g + 41. Let t(y) = 4*y**2 + 10*y**a + 0*y**2. Give u(t(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.4. Suppose 0 = -11*l - 3*l + 112. Let v be (-2)\/l*(-5 - -3). What is the closest to v in -6, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1526 - -1524. Let n = -55 + 43. Let z = 0.48 + 0.02. Which is the biggest value? (a) n (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23003537 + -1.74.\nAnswer: -23003538.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 45*z**2 - 46*z**2 + 16*z + 0 + z**3 in the form i + j*z**3 + f*z + n*z**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 514.75 - 516. Let n = t + -2.75. Which is the nearest to 1\/10? (a) -5\/3 (b) -0.1 (c) n (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -53*z**3 + 6*z**2 + 6*z - 6. Let y(n) = 110*n + 3514. Let g be y(-32). Let c(q) = 6095*q**3 - 689*q**2 - 689*q + 689. Calculate g*c(k) - 689*m(k).\nAnswer: -53*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*m + 311*m - 158*m**2 - 17*m - 152*m.\nAnswer: -158*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 16, 10, 4?\n\"Answer: -6*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9921533 - -0.4.\nAnswer: -1.5921533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15271 - -17082.3. What is b rounded to the nearest ten?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + (-4 - (-6 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63831\/2 + 3574471\/112. Calculate the common denominator of 21\/80 and g.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**10\/181440 + h**9\/45360 + h**8\/40320 + h**4\/24 + 7*h**2. Let q(u) be the second derivative of b(u). Factor q(m).\nAnswer: m**3*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**3 - 13*i**2 - 5*i + 5. Let m(l) = 39*l**3 - 45*l**2 - 18*l + 18. Give -18*j(d) + 5*m(d).\nAnswer: -3*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, x: 1, g: 2, i: 2, z: 1, e: 5}. What is prob of picking 1 g, 1 z, and 2 d?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1333\/1114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 23. Let p be f(-10). Suppose -p*n + 3*a + 2*a + 3 = 0, 3*a - 21 = -2*n. Suppose n*i - 86 = 34. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -15635403?\nAnswer: 15635366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(39))\/sqrt(3) + sqrt(260)\/sqrt(5) + 1)**2.\nAnswer: -28 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 285 or 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**3 + 17*a**2 + 110*a - 102. What is the units digit of x(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -12. What is the tens digit of (-5 - 1)*10\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147273 to the nearest 100.\nAnswer: -147300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912 + 1858 = -8*i - 10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(162) + sqrt(162) - sqrt(18))*-3)\/((sqrt(294)*2 - sqrt(294))*5).\nAnswer: -51*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j**(1\/7)*j)\/j*j)\/(j*j**(2\/21)))\/(j**10*j**(-3\/10)))**13 assuming j is positive.\nAnswer: j**(-23621\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/4)\/((-3)\/((-576)\/(-8))). What is the second derivative of s + s - 28 + a + 3*s**3 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426312 is divided by 812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 5*m - 5. Let a be z(2). Let d(q) = q**3 - 6*q**2 - 5*q - 3. Let r be d(7). Is r < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284 (base 13) to base 2\nAnswer: 110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188.3 in 8, -0.1, 2\/31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -368695\/35499234 + -25190625672239\/23663079399720. Let z = -2\/33329 + c. Calculate the common denominator of z and 47\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-1)\/j*j))**(-20\/7)*(j\/(j*j\/(j\/j**(-2\/11))*j))\/(j*j**(-5\/6)) assuming j is positive.\nAnswer: j**(-65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -11*p**2\/2 - 6*p + 11. Let m(x) = 2*x + 1. Let j(a) = -f(a) - 6*m(a). Let u(s) = -97*s. Determine j(u(v)).\nAnswer: 97*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 2, 4, -0.1, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*j - 6*j + 3*j)*(2*j - 2*j - 3*j)*(j**3 + 4*j**3 - 4*j**3).\nAnswer: -3*j**5 + 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*x**3 - 215*x**3 + 433*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 + u**3 + 18*u**2\/5 - 4*u - 56\/5.\nAnswer: -(u - 7)*(u - 2)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/13 + -17\/26. Let t = 0.3 + -0.22. Let u = t + -0.38. Which is the closest to x? (a) u (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62536, 125073, 187610, 250147?\nAnswer: 312684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-2\/13))**(-38) assuming l is positive.\nAnswer: l**(-228\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 278*r - 5542. Let k be l(20). Solve 0 = -k*d - 35 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893876169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.195603876 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g - 8*g**2 + 0 + 0*g**3 - 5\/12*g**4. What are the prime factors of m(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -10. Let s(o) = 7 - 7*o**2 - 6*o**2 + 7*o + 5*o**2. Let r(z) = -7*z**2 + 6*z + 6. Determine f*r(k) + 6*s(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -31*v - 126 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 152*j**3 + 2886*j**2 + 17424*j + 14688.\nAnswer: 2*(j + 1)*(j + 12)**2*(j + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3961275179 to the power of 1\/8, 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 {c: 3, x: 4, m: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*n**2 + 34*n**2 + 158*n**2)*(2*n**2 - 6*n**2 + 9*n**2 + (n + n**2 - n)*(0 + 0 - 2)).\nAnswer: 819*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*x - 27201, -6*i = -3*i + x - 81603. Let f be (-1 + i)\/((-4)\/(-750)). What is f rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2 + 1043488*q - 272216801536 = 0?\nAnswer: 521744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/10 + (-1692)\/(-80) and (-2)\/(-4)*(-682)\/352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 3. Let m be x(-3). Suppose 52 = 2*f + m. Let u = 2 + f. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 11*i + 17. List the prime factors of v(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvydygvvdvgugjd. Give prob of picking 1 y and 1 v.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**3 - p**3 + 2*p**3)*(4179 + 4652 - 1680)*(3 - 2 - 3) as u*p**2 + k*p**3 + h + y*p and give k.\nAnswer: -57208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, -1.5, 0.2, 1, 0 in increasing order.\nAnswer: -1.5, 0, 0.2, 1, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29666 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.18 + 0.68. Let i = 0.2 + -0.3. Which is the smallest value? (a) s (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1510*y**2 - 4*y - 10. Let s(t) = -t**3 - 8*t**2 - 10*t + 9. Let q be s(-6). Let r be f(q). Is (-1)\/12*3 - r\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13959 and -0.1.\nAnswer: -0.013959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -884759959 bigger than -884759957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*m + 85, c - 3*m = 2*m + 50. Suppose 16 = 3*v - 2*v. What is the remainder when c is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**3\/2 + 11*f + 4. Let b(c) be the first derivative of y(c). Let k(s) = -3*s. What is b(k(z))?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n**(1\/5)*n)\/(n**(1\/4))**(-6\/13)*n**(2\/3)*(((n*n**(-2\/5)*n)\/n*n)\/n)\/n*((n**(1\/4)*n)\/n)**(7\/5) assuming n is positive.\nAnswer: n**(-1613\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312775215 to the nearest integer?\nAnswer: 17685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11339819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.6 + -63.6. What is the third smallest value in h, -1, -0.2, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -892 - -898. Find the third derivative of 81419*k**3 + 289*k**2 - 188*k**j - 81419*k**3 wrt k.\nAnswer: -22560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 + q + 1. Let t(d) = -5*d**3 - 7*d**2 - 7*d - 6. Let m = 510 + -496. What is m*z(a) + 2*t(a)?\nAnswer: 4*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - j - 2*j + 5. Suppose -5*g - 3 + 21 = -u, 0 = -4*u - g + 12. Let c = 2 + -2. Sort j, c, u, -4 in descending order.\nAnswer: u, c, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 55, 138, 257, 412, 603?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a**2 - 3*a + 3*a)*(0*a + 1 + a + 0) to n*a**3 + x*a**2 + f*a + m and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1105627178 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:51 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2960 - 19?\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 9 - 4 - r)*(-11 + 2 - 1)*(1 - 2 + 2) to k + u*r and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11648 is divided by 2912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8) + 9 - 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*j**5 + 1246*j**3 + 11*j**2 + 0*j**2 - 1246*j**3 wrt j.\nAnswer: 1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47623, -93424, -139225, -185026?\nAnswer: -230827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 9*h**2 - 9*h - 6. Let c be a(-6). Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.516202 days to milliseconds.\nAnswer: 44599852.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-35) - -28) + -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x*x**(1\/3))*((((x**(2\/3)\/x)\/x)\/x)\/x)\/(x**(4\/7)*x))\/(x**(-1\/4)\/x**(-2\/17)*x**(-2\/21)*x**(-4)*x) assuming x is positive.\nAnswer: x**(-2861\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -1251?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, e: 4, z: 5}. What is prob of sequence ee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -74. Suppose 12*v - o = 24*v. Let q(y) = -y**2 - 2*y - 2. Let t(w) = w**3 + w**2 + 3*w + 3. Calculate v*t(n) - 3*q(n).\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -601*r + 1940. Calculate y(3).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704) + (sqrt(132)*4)\/sqrt(12))**2 - ((sqrt(176) - (sqrt(176) - (-2 + sqrt(176)))) + -2)*-2.\nAnswer: -40*sqrt(11) + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c)**24 assuming c is positive.\nAnswer: c**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkrt when four letters picked without replacement from {n: 6, t: 3, x: 5, a: 2, r: 2, k: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**2 + 78*s**4 + 6*s**2 + 2*s**5 - 78*s**4 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49321108 - 49320880.9999936. Let u = w + -227. What is u rounded to seven decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 23*h - 294. Let c = -2524 - -2556. Give i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, 1 s, and 1 y when four letters picked without replacement from dhsssryhhybyssyysdss?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81738 is divided by 898?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 0) + (-2 - (13 - 18)) + 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/484*(-44)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - y + 4*y + 10 + 3 = 13, -u = 22*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 4*d + 1095*d**2 - 1180*d**2.\nAnswer: -85*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 61022?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 20. Let x be 4*1 + (-154)\/(-14) - 2. What is the smallest common multiple of 2 and w(x)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - (-12)\/(-7). What is the hundreds digit of (-1236)\/8*a\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*x - 97*x + 284*x - 108*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 15*o + 171 = 0. Solve -5*y = -0*y + 3*i + o, 3*i = 4*y + 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 b, and 1 c when four letters picked without replacement from {b: 1, y: 2, s: 2, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 886.9 + -868.9. Which is greater: -2\/37 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33724, 67067, 100410, 133753, 167096?\n\"Answer: 33343*p + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4179907*j**3 + 20455*j - 75 wrt j?\nAnswer: -25079442*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/117)\/((-72)\/78).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1291 - 6?\nAnswer: -1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14329 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 782 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -21120?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/3 + b**2\/2 + 5*b - 6. Suppose 12 = 2*w - d, 4 = -2*w + 3*d - 6*d. Calculate u(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-10) + -5)\/(14\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14208 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201444101 + 42?\nAnswer: -201444004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 - 6 = 0. Let j be 6\/(-8)*(-115 + b). Suppose -5*v + 93 = -197. What is the greatest common divisor of v and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 66, 134, 250, 432, 698?\n\"Answer: 3*o**3 - 3*o**2 + 26*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -7225, -2 in ascending order.\nAnswer: -7225, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1 + 1 - 4*r**2. Let f(l) be the second derivative of 18*l + 0*l**2 - 5\/6*l**3 + 0. What is f(x(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232201 + -3?\nAnswer: -1232204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1251, -8346, -27597, -65082, -126879, -219066?\nAnswer: -347721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/3 - 42071*d**2 + 84143*d - 126215\/3 = 0. Calculate d.\nAnswer: -126215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14013 or -350324\/25?\nAnswer: -14013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*i, 4*o = -24*i + 23*i - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 20, 52, 86, 116, 136, 140?\n\"Answer: -y**3 + 10*y**2 + y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 200*r**2 - 194*r**2 + 116*r**2 + (-16*r + 8 - 8)*(-4*r - r + 3*r).\nAnswer: 154*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:07 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(95\/(-76)*4)*(-2)\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewee when four letters picked without replacement from {j: 2, k: 4, e: 7, w: 2, f: 1}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-6)\/(-9)*-3. Is (-1266)\/(-42) + p\/(-14) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 346*z - 2422. What is g(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 49*w - 22. Let z be p(-24). Factor 0*b + 0*b**z - 3\/8*b**4 + 1\/4*b**3 + 0.\nAnswer: -b**3*(3*b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 14. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 71, -20, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 397. Determine r(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 5. Let h = -29 - -29. Suppose -4*w + 67 + 9 = h. Suppose 4*t - 39 = -w. Determine g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 23. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 443 = 5*a + 373, 48 = 3*c + 2*a. Calculate the greatest common factor of c and 232.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.8904 millilitres in litres?\nAnswer: 0.1158904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 13) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 + 7 = 2*q, -38 = -3*q + 5*n. Solve q = 112*b - 118*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519 - -513. Suppose -2 - 1 = -5*a + 3*l, a - 15 = -3*l. Put q, -4, 5, a in ascending order.\nAnswer: q, -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (3*8)\/4. Let z(s) = -s. Let g(l) = 4*l. Let c(k) = u*g(k) + 14*z(k). Let a(m) = 4*m**2. Give c(a(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193*p**2 - 8661*p - 27005859?\nAnswer: 386*p - 8661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -117, 1\/13, 5, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-5) - (-1)\/(-5). Let k(d) = 1 + 0 - 3 - 3*d + 4*d. Let n(z) = z - 2. What is b*n(g) + 2*k(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - k - 4*k)*(3 - 1 - 1 + (-4 + 2 + 0)*(1 + 2 - 5) - 1 + 2 + 1 - 28 + 16 + 60)*(2 + 1 - 4) as u*k + y and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 9*c = -35. Suppose 3*b - 38 = 5*j, 2*j = -4*b + c + 9. Let f be (-8)\/b*9435\/(-34). Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 20821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-2 + 2 + r)*(4 + 0 - 3)*(74 - 74 - 19*r + (4*r + 0*r - 5*r)*(-6 + 5 + 7)).\nAnswer: 125*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/(134\/(-201))*1. Which is the nearest to g? (a) -4 (b) -1\/19 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/29346 and -71\/3066?\nAnswer: 205422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-4 + 4 + 3*a)*(10 + 3 - 11 + 5*a)*(5*a + 0*a - 4*a).\nAnswer: -30*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 144440?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (1 - 0))*3. Suppose s*u - 57 - 24 = 0. Suppose u = 3*d - 2*d + 4*b, 5*d - 5*b = 10. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Let w = 0 - 6. Let a(z) = -z**3 - 5*z**2 + 6*z - 1. Let y be a(w). Let k be s(y). Solve k = n + 2 - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 4 - (2 + -2). What is the closest to -0.1 in -3, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -57*k**4 - k**3\/3 + 2905*k - 1098. What is the derivative of w(a) wrt a?\nAnswer: -684*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1008 and -101\/20874.\nAnswer: 500976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003272636 rounded to seven decimal places?\nAnswer: 0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*(-230)\/46?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 68*u**3 + 9*u**3 + 5*u - 19*u**3 - 5*u.\nAnswer: -82*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-135)\/25)*75\/(-125). Let q = 0.08 - 0. What is the nearest to s in -0.2, -0.1, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1619916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x + 60. Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 4 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/252 and 167\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 2*j**5 + j**5 + (-3*j + j + j)*(-j**4 + 4*j**2 - 4*j**2) - 9*j**5 + 5*j**5 + 15*j**5.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129, -137, -153, -177, -209, -249?\n\"Answer: -4*w**2 + 4*w - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qqtqqtt?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a5 (base 15) in base 3?\nAnswer: -1101120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -69\/7?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 - -1278\/7. Which is the closest to 2? (a) 2 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m + 56. Let l = m - -10. Let b = l - -15. Solve -4*u + 2*u - b = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 - 14*d + 3. Let r(p) = 2*p**2 + 23*p - 3. Let g be r(-12). Does 39 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068772 divided by -3?\nAnswer: 1068772\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22504?\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47.5 and 0.206065656.\nAnswer: 47.706065656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, 5*x - 4*a + 57 = 195. Let t = 44 - x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.33 + -1.4. Let i = 6.07 - 5.9966. Let w = q + i. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-3)*(-6522)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 - u. Let n be l(0). Suppose n = 3*s - 207 - 189. What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 55. Let j(q) = 10*q**2 - 9 - 4*q - q + 2 + b*q. Calculate the remainder when j(-2) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.1, 75\/406, 2, 17?\nAnswer: 75\/406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(-5 - (-204)\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1512 = -1518. What is the remainder when a is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300846 or -556?\nAnswer: -300846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 2. Suppose 5*z + 40 = -0*z. Let i be n(z). Is i at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8932187 bigger than 8932187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*b + 684 = 0, -4*l + 4*b + 1370 = 2*b. What is the smallest common multiple of l and 18\/30*((-85)\/(-34))\/(3\/2)?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 56 = -23. Suppose -5*i + 1162 = 4*b, o*b + 22*i - 23*i - 862 = 0. What is the remainder when b is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00816719 - -887?\nAnswer: 887.00816719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*j = -316 - 467, 2*j = 0. Let x = f - -294. Calculate the highest common divisor of 88 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**6\/120 - 7*j**5\/60 + j**4\/4 - 2*j**3\/3 + j**2 - j. Let q(b) be the first derivative of y(b). Determine q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, 0.3, 1503, 1\/6 in descending order.\nAnswer: 1503, 3, 0.5, 0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**6\/6 - i**5\/5 - i**4\/4 + i**3\/3 - 373. Find z, given that l(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 5*a - 3*a + (1 - 3 + 4)*(a - 5*a + 2*a) - 3*a + a + a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -23. Let g(y) = -y**2 - 13*y - 1. Let q be g(w). What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 6*a - 2*a)*(-6*a + a - 2*a)*(a + 2*a - 2*a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 2, w: 1, h: 1, y: 1, u: 2, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19)*3)**2*4.\nAnswer: -96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 20. Suppose -z*r + 11 = -l, -5*r = -5*l - 2 + 7. Calculate the remainder when 8*-3*(-2)\/8 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43340 and 13955480?\nAnswer: 13955480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -9, 710, 2\/9, -2\/7, 2\/3209?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.22 - -0.22. Let u = 0.2206 - -0.1794. Which is the closest to -0.1? (a) p (b) u (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4 + 15*n**3 - 9*n**2 - 27*n = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11300, -23269, -35238?\n\"Answer: -11969*f + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 926.6593l?\nAnswer: 926659.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.5 + -85. What is w rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n, -3*s + 25331 = -2*n + n. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -13\/5, 0.5, -103?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/17 or 0?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6.6+111.4\nAnswer: 104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**4\/7 - 200*j**3\/7 + 106108*j**2\/7 - 4545424*j\/7 - 49623120\/7 = 0.\nAnswer: -205, -9, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:59 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 28858?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:10 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(7200)*-3)**2.\nAnswer: 3600*sqrt(2) + 1620004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0, 5, 42, -3 in increasing order.\nAnswer: -3, -2\/13, 0, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13666 = 13664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2133372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 5*o. Suppose t = o*t - 148. Suppose 0 = -5*m - 2*a - a + t, 0 = 2*m - a - 17. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8875052?\nAnswer: 2, 19, 31, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 24171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/37 and 40\/19351.\nAnswer: 19351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 589224.\nAnswer: 589224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3059373 * -6.\nAnswer: -18356238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 41 = 21*n - 5*d, 3*n = -3*d + 57. What is the remainder when 55 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1\/(3\/(-5)). Calculate the common denominator of 35\/4 and 20\/h + (-210)\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 16. Let z be v(11). Suppose r + 5*s = 0, z*s + 1 = r - 19. Let l = 80 - r. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4))\/(((x\/(x**(-29)\/x))\/x)\/x))**(-12\/19))**(-23\/6) assuming x is positive.\nAnswer: x**(-1472\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:07 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4, e: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -5*y**6\/6 + 7*y**5\/5 + y**2\/2 + 328*y + 183. What is the second derivative of n(v) wrt v?\nAnswer: -100*v**3 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.91398301 - -26.761.\nAnswer: 22.84701699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -8455078?\nAnswer: -845507a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 110*z**2 + 2083*z + 1853. Determine b(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from yhyxyhyhyh?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*s = -17, -4*v - 4 = 5*s - 6. Suppose -2709 = v*z - 6*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 - -5. Let l = -0.04 + 1.04. Let u = 0.5 - l. Sort m, -2, u.\nAnswer: -2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*u + 47*u = -168. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248946 + 124476 + 124470 - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242124 + 0?\nAnswer: -242124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.92 - -205.92. Let p = o - 92. Let f = p + -108.9999982. Round f to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -153*g + 375. Let x(p) = -2*p. Determine t(x(r)).\nAnswer: 306*r + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 14*v + 9. Let l(r) = -r**3 - 4*r**2 + 5*r - 7. Let y be l(-5). Let n be a(y). Suppose 0*z + n*z = 234. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:44 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(1 - 1 + 2*h) + 2*h - 2*h + 2*h - 4*h + 4*h + 14*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u**2 - 2*u - 7. Is t(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2609\/29 - -90. Calculate the common denominator of -77\/8 and y.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + 36*q = 5*w - 27, 4*w - 27 = 5*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/17)\/((-438)\/3723). Solve y = v*n + 75 - 105, 3*y - 8 = n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.519516?\nAnswer: -2.078064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 12*i)*(-2*i - 3*i + 4*i) + 1 - 3*i**2 - 1 + (-3*i - i + 3*i)*(i + 0*i + 0*i) + 19*i**2 - 23*i**2 + 18*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0 (c) -436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 519*w - 39077. Give g(61).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 240*i + 12. Let o(l) = -2*l**2 + 357*l - 19. Determine -5*o(h) - 8*x(h).\nAnswer: 2*h**2 + 135*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x**14*x)\/x*x)))\/(x**(4\/5)*x))\/(x*x**4)**8 assuming x is positive.\nAnswer: x**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*t**3 - 3944*n**2*t**2 + 67*n**2*t + 2*n*t - 3*t wrt t?\nAnswer: -12*n**2*t - 7888*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 364 = -3*v - 290, -q = -4*v - 11. Sort 38, q, -1 in descending order.\nAnswer: q, 38, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/270*170\/(-102).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15298 and 2.8?\nAnswer: -42834.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 2*l + l + l**3 + (-1 - l**2 + 1)*(-2*l + 2*l - l) + l**3 + 0*l**3 + l**3 - 2*l**3 + 2*l**3 - l**3 + l**3 - l**2 + l**2.\nAnswer: 4*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 2*j - 140\/9.\nAnswer: 2*(j - 5)*(j + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101011001100000 (base 2) to base 16.\nAnswer: 2d660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + j + 7, 4*k + 4 = -2*j. Let i(s) = -3*s**3 + s**2 - 1. Let b be i(k). What are the prime factors of (b\/3 - 2) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**4 + j**3 - j**3)*(-4 + 0 - 3) - 2*j**3 - j**4 + 2*j**3 as d + k*j**3 + m*j**4 + u*j + p*j**2 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25)\/x)**34 assuming x is positive.\nAnswer: x**(-884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -297b32 + -7e?\nAnswer: -297bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - -15. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -318*n**5 - 3404*n**4 + 38456*n**3 - 62992*n**2 - 63488*n - 2304 = 0.\nAnswer: -18, -2\/3, -2\/53, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and -4247.\nAnswer: -645544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547058*b - 1095425*b + 548347*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10456 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 + -212.2. Let y = -34 + g. Let x = 0 + -1\/4. Which is the biggest value? (a) 0.1 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvvdvfdfdvvdvv. Give prob of sequence fdfd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 172.4714 weeks?\nAnswer: 28975.1952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8998.562 kilograms?\nAnswer: 8998562000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -48\/7 + 120\/7*p**2 + 45\/7*p**4 - 96\/7*p + 24*p**3 = 0.\nAnswer: -2, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/51)\/((-1)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -50*o**3\/13 - 4158*o**2\/13 - 4764*o\/13 - 656\/13 = 0.\nAnswer: -82, -1, -4\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011086 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7)\/(165\/22)*(-65)\/(-13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 54 = -5*g + 2*u, 0 = -3*g + u + 30. Let m be (g\/15)\/(2\/70). Calculate the highest common factor of m and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281 + -276. Let f(v) be the second derivative of -3\/14*v**2 - 2*v + 0 - 3\/28*v**4 - 3\/140*v**w - 3\/14*v**3. Factor f(p).\nAnswer: -3*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391*-4\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1050 and (-21)\/1800*1364\/(-308).\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -290*d**2 - 287*d**2 + 575*d**2 + 1269*d to the form b*d + v + h*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -147680 divided by 208\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvgiigeb. Give prob of sequence izvz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7158419 rounded to 1 dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 264*q**2 + 1024*q - 1008.\nAnswer: (q - 14)*(q - 2)**2*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -118. What is the greatest common factor of 128 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-36) + -4)*(-870)\/(-145)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -356, -562, -788, -1034, -1300?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -7, 3, -6 in decreasing order.\nAnswer: 5, 3, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*t + c, 4*c = -5*t + 24. Let y(p) = -t + 3*p**3 - p**2 - 6 - 3*p + 4. List the prime factors of y(4).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 183 = -4*g, 4*g + 484 + 268 = 4*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -56. Let r = g + 94. Let s(f) = -2*f**3 - 5*f**2 + 3*f + 6. Let d be s(-4). What is the highest common factor of d and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 16, -5*g = 40*w - 37*w - 890. Suppose 0 = -4*t - 5*x + 413, -t - 229 = -3*t + 5*x. Let o = w + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - 2*i**2 + 86*i. Let y(w) = -137*w. Let x(z) = 21373*z. Let d(j) = 3*x(j) + 469*y(j). What is m(d(t))?\nAnswer: -17956*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95778 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 333495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -7.3. Let h(t) = t**3 - 38*t**2 + 75*t - 2. Let x be h(2). What is the second biggest value in -5, x, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 7. Let s(g) = 6*g - 8. Let j(b) = -6*s(b) + 5*y(b). Let l be j(9). Let q(w) = -w**2 + 5*w + 2. Calculate q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.83 - -0.7. What is the fourth smallest value in i, -1\/11, -5, -0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424 + 7655.\nAnswer: 7231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-0.101.\nAnswer: -2.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-24)\/10. Let h = -449 - -447. What is the third smallest value in l, -4, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -60. Let v(k) = -k**2 + 2*k. Let g(b) = -b**2 + 4*b. Let y(z) = c*g(z) + 4*v(z). Calculate y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 14*k - 4. Let d be c(15). Let a = d - -36. Solve -a = 5*r - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -130\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Let j = -39.48 + -381.62. Let f = j - -421. Which is the smallest value? (a) z (b) -0.12 (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 47*c**2. Let l(y) be the first derivative of -6*y**3 + 20. What is z(l(d))?\nAnswer: 15228*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/149511 or 1?\nAnswer: 2\/149511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*o*p**6 - 1261*o*p + 46*o - 1345*p**6 - 4*p**2 wrt p?\nAnswer: -2760*o*p**3 - 161400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 6910855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/62, 4, -0.3, 1, -4\/5 in increasing order.\nAnswer: -4\/5, -0.3, -1\/62, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibf when three letters picked without replacement from {i: 6, f: 2, w: 2, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -44. Suppose 12 - 26*b + 3*b**2 - i*b + 11*b**2 = 0. What is b?\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 - (-176)\/(-3). Let q = g + 228. Suppose -2*r - r + 4*u = -q, 2*r = 3*u + 114. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.203 millilitres to litres.\nAnswer: 0.963203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 79 = -9*d. Suppose 0 = 12*u - d*u + 5. Let k(y) = -10*y**2 + 0*y**2 - 49 + 56. Let n(z) = 7*z**2 - 5. Give u*k(a) + 7*n(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*-2)\/(sqrt(576)*3).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Let i = 5 - f. Suppose i*g - 2718 = 4*r + 1286, 5*g = -3*r + 9997. What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 5*z**2 - 1\/120*z**6 + 0*z**4 + 0 + 0*z - 1\/15*z**5 + 1\/3*z**3. Calculate u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y + 4*y)*(2*y**2 + 2*y**3 - 2*y**2) - 3*y**5 + 5*y**5 + 0*y**5 - 2272*y**5 - 10*y**2 + 2290*y**5 + 8*y**3 + 22*y**2.\nAnswer: 22*y**5 + 8*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*r + 16, 0 = r - 2*l + 5*l - 4. Solve -4*o + 18 = x, -o - r*x + 0 = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let y(d) = -d**2 + d - 1. Let h(f) be the third derivative of 23*f**2 + 0*f + 1\/6*f**3 - 1\/24*f**4 + 0. What is i*y(v) + h(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z - 1. Suppose -s - 4*f - 8 = 0, -3 = 4*f + 9. What is p(s)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 223, 495, 875, 1363, 1959?\n\"Answer: 54*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1281121*f + 1335973 wrt f?\nAnswer: 1281121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -1 + 3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/((-2)\/6). Suppose a*h + 0*h = -4*u + 12, u - 5*h - 3 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/630*-14 + (-12)\/15?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 + 1.5. Let p(g) = 24*g - 701. Let u be p(29). What is the fourth smallest value in 4, u, f, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49098 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 24. Let r be w(-14). Let t(i) = r + 5*i + 3*i - 6*i. Let o(j) = -3*j - 10. Let v(l) = -4*o(l) - 3*t(l). Find the first derivative of v(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -349 (b) -1\/3410 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 16*d**5 + 198272*d**4 - 1785292*d**3 + 5604652*d**2 - 7440312*d + 3571488 = 0?\nAnswer: -12401, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4\/7 (b) 6 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/7, 0.9, 80, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/3, -24, 1\/8 in descending order.\nAnswer: 1\/3, 1\/8, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 28*i**3 - 13040*i**2 - 109716*i - 119448 = 0.\nAnswer: -7, -9\/7, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4333288, 8666593, 12999918, 17333263, 21666628?\nAnswer: 26000013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 0 (c) 6 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 7, o: 3, v: 1, a: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6956183.058276 and 29.\nAnswer: 6956212.058276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114831171 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 219, 447, 679, 915, 1155?\n\"Answer: 2*h**2 + 222*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4581920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85710116 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101222201 (base 4) to base 15\nAnswer: 16688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 0*l**4 + l**4 + (18*l**4 + 12*l**4 - 4*l**4)*(1 + 2 - 4).\nAnswer: -29*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2903\/7 - -414. Is v > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7440960.32 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 2*o + 14. What is the remainder when 66 is divided by z(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i + 197. Let v be j(0). Let k = v - 611. Let b = k + 663. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21025 - 15268 = 425*w - 9813*w + 99637 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*c - c - 3*r, 3*c = 4*r + 32. Suppose -4*z - 13 = -c*i + 147, 0 = -i - 4*z + 60. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:17 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p - 10. Let s be x(-10). Let y = 30 + s. Differentiate -2 + 9*i**2 - 7*i**2 + y*i**2 with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 26*q**2 - 126968570 + 126968570 - q.\nAnswer: -22*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffd when four letters picked without replacement from {k: 1, f: 4, q: 3, z: 2, d: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2605 (base 8) to base 15\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58824*k**2 + 7808*k + 117732*k**2 + 1712*k - 43*k**3 - 58840*k**2 + 9408 + k**4.\nAnswer: (k - 28)**2*(k + 1)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -671 != -672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from bhhhbhbbbbb.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 7*t + 7. Let z(m) = 37696*m**2 - 37695*m**2 + 2 + 7*m - 9*m. Let f(o) = o**2 + 5. Let u be f(-4). Give u*z(i) - 6*h(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-3))\/(-2 - 0). Let t be 18\/48*(-8 - -7). What is the closest to c in t, -2, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1897\/444 + -141\/37. Calculate the common denominator of u and (-6)\/4*43\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 3*w - 9. Let z(q) = q**2 + 4*q + 13. Let v(j) = 2*j**2 + 102*j - 99. Let s be v(-52). Give s*z(i) + 7*k(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 2:35 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4 = 2*j. Let z = 5 - j. Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = w - 5*t, -5*w + t + 0 - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2726490 and 69910.\nAnswer: 2726490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -946 (base 13) to base 10.\nAnswer: -1579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 267 + 267.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 23*a + 5. Let p be u(-23). Let k be ((8\/p)\/4)\/((-5)\/(-575)). Is 46 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/71370 and -19\/2100.\nAnswer: 4995900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46697647?\nAnswer: 41, 1138967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -857*w + 9. Let b(i) = -1716*i + 15. Give -4*b(z) + 7*t(z).\nAnswer: 865*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*y + 142 = 541*y - 474 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**2 + 11*f**2 + 2 + 7*f**2)*(17 - 1 - 2*f**2 - 2).\nAnswer: -2*f**4 + 10*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49773, -49729, -49661, -49569?\nAnswer: -49453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) -0.2 (c) 5214 (d) 24 (e) 2 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011507 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 - -129. Let w be (-15)\/(-105) + n\/(-14). Sort w, 9\/2, 2, 1.\nAnswer: w, 1, 2, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73216?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 5\/48*l**4 + 2 + 1\/12*l**3 + 2*l + 3\/80*l**5 + 0*l**2. Let o(u) be the first derivative of z(u). Solve o(p) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 36. Let m be o(16). Which is the fourth smallest value? (a) -3 (b) m (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2083*5\/(-5)*(-5 - -7)?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254825 and 9425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1001\/2)\/(12 - 719\/60)?\nAnswer: 2, 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -24, -47, -98, -189?\n\"Answer: -2*p**3 + 4*p**2 - 5*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1176 - 1176. Solve 2*d + 3 = -5, f = 3*l + 3*d + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344565260723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58713\/10 - 5878. Find the common denominator of -103\/22 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/19, -0.2, -3, -11947, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538799, -1077599, -1616399, -2155199?\nAnswer: -2693999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*u - 760 = -99*u + 2900 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26523*o - 251893?\nAnswer: -26523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 12. Give d(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 219*n + 277. Let d be s(8). Let o = 2031 - d. Solve -26\/11*q - 72\/11*q**3 - 96\/11*q**o - 2\/11 = 0 for q.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfffffzf. Give prob of sequence fff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/5 - 80*c**4 + 378848*c**3\/5 - 7531348*c**2 + 212380410*c - 571398300 = 0.\nAnswer: -583, 3, 55, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 547 - 123 = 0. Let s = 1490\/7 - t. What is g in -s*g**3 + 2\/7*g + 0 + 4\/7*g**4 + 0*g**2 = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 - 1)*(-39)\/(-26). Let u = -35 - t. What are the prime factors of -150*((-6)\/u)\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/3)\/q)**(-3\/4) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.60394 - -10.6. What is w rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 + -212.207. Let p = -0.2069545 - s. Round p to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6*663\/(-26). Let j(a) = a**2 - 4*a - 2. Let s be j(5). Suppose 5*f - d = s*f. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 10*l - 1. Let p be u(-12). Let n(f) = -12*f + 599 - p. Let v(d) = -2*d**2. Give n(v(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3896693932 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460630, 460634, 460638, 460642, 460646, 460650?\nAnswer: 460654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9271\/83277 + 2\/9253. Which is the closest to -0.1251? (a) -2 (b) 0 (c) k (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 3, -5, 9\/19.\nAnswer: -5, 0.03, 9\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15323, -15310, -15303, -15308, -15331?\n\"Answer: -i**3 + 3*i**2 + 11*i - 15336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354743 is divided by 111.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 2 - 5*y**2 + 2*y**2 + 4*y**2. Let r be f(-4). Suppose -28 = -r*s - 2*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 e when four letters picked without replacement from {e: 7, r: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/6*(-9 + 10). Let n be 703 + (-18 + 18 - z\/(-1)). Calculate the highest common divisor of 200 and n.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 52. List the prime factors of ((-15)\/m)\/((-3)\/(-237)).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q + 479. Let b be v(0). Let r = 144 - 141. Suppose 0 = r*a - b - 274. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/(6\/(-153)). Solve j + f - 7 = 0, 0*j + c = j + 3*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 15*a + 2*a**2 + 4*a**4 - 3*a**3 - 3 + 18*a to u*a**4 + t*a**2 + d*a**3 + o + n*a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.1401 centuries in decades?\nAnswer: 5321.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 71*a. Let x be u(-3). What is the units digit of (x\/9)\/(1\/(-3) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:18 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 5}. What is prob of sequence jj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 122 = -47. Is q\/35 - 0 - 243588\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -12, 0.1, -42, 94 in ascending order.\nAnswer: -42, -12, -4, 0.1, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x + 84. Let k = x - -40. 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: What is the highest common divisor of 26 and 63630502?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.04 (b) 2 (c) -2\/13 (d) 1670 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhsrrhsbssbhhhhh. Give prob of sequence rsb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*b - 14, d + 2*b + 0*b - 6 = 0. Suppose -4*c + 12 = o - d*o, -3*o - 22 = -5*c. What is the lowest common multiple of 9 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1158 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4 - 4\/(-4). Suppose 25 = 5*o + r*q, o - 2*q = 14 + 6. Suppose 2*l + u - o = 0, 2 + 23 = 5*l - 2*u. Solve l - 25 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14742 = -10*k + 7*k. Suppose -k = 6*c - 20*c. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 2042344761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 167*d**2 - 6428*d - 11791. What is z(-199)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*y, -3*y - 2*y + 4*w + 36 = 0. Suppose -z - 1 = f + y, 15 = -3*z. Factor 4\/3*j**4 - 2\/3*j**5 - 4\/3*j**2 + 2\/3*j + 0 + f*j**3.\nAnswer: -2*j*(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -3 (c) 5 (d) 3 (e) 1\/1050\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -0*j, 0 = 2*x + 4*j - 46. Let f(o) = -8*o + 252. What is the remainder when 395 is divided by f(x)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 442. What is the tens digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*p = -410, 0*p - 556 = -4*k + 5*p. Suppose -k = -4*w - 26. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*x + 748*x + 96 = 377*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 240, 966, 2176, 3870, 6048, 8710, 11856?\n\"Answer: 242*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 6\/2 + -11 + 13. Suppose -5*k + 2*u + 4 = -b, 14 = -2*k + 5*u. Solve -k*w = 16 - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-86)\/946)\/((-10)\/11). Let r(f) be the second derivative of 0 + 0*f**4 + 0*f**3 - f + s*f**5 - 4*f**2. Differentiate r(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 38 = -2*o. Suppose 5*z - 19 = k + 42, 2*k + o = 3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -156.7 (b) -3\/7 (c) -143 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 23. Suppose -4*j - 10 = b, 2*b - 3 = j - q. Calculate the common denominator of -1 + (-3)\/b*95 and 65\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = l - 14, -9*l + 7*l + 34 = h. Suppose 19*v - 27*v + l*v = 0. Solve -3 = -v*f - f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, j: 1, s: 7, i: 1}. Give prob of sequence sjs.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -4. Suppose -10*n + 12 = -q*n. Let j be 3 - 1 - (4 + n). Solve 3*g - 7*o + 2*o - 17 = 0, -o = -j*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/(((d\/d**(-6)*d)\/d*d*d*d)\/d))**(-21\/2)\/((d\/(d*d\/d**(1\/5)*d)*d)\/(((d*d**(1\/13)*d)\/d)\/d)*d**(-4)*d**(2\/27)\/d) assuming d is positive.\nAnswer: d**(157604\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:49 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*u**2 + 20*u**2 - 130*u**2 + 66*u**2.\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305418.1399974 + -305418. Let t = -0.14 + m. Round t to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/464 - -467\/1392. What is the nearest to o in 2\/21, 3, 0.8, -0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/7, -16.4, 0.1332?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 133811039*i**3 + 44*i**2 + 0*i + 133811037*i**3 + 9)*(-2 - i + 2) to g*i + x*i**4 + z*i**3 + l*i**2 + r and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*-20.5708\nAnswer: -102.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-5 + 4 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = v - 2*i, -3*i = -v. Calculate the greatest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-315)\/105)\/(((-15)\/6)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*z - 21*z + 69*z)*(-2*z**4 - z**4 + 5*z**4).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - w + 39 - 29 = 0, 5*w - 25 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -9. List the prime factors of (-2511)\/z - 14\/35.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17611.\nAnswer: 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4421, 4540, 4657, 4772, 4885, 4996?\nAnswer: 5105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3 + 1)*9\/(-45).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 + 20*j + 48. Let w be p(14). Let n = w + 2226. What are the prime factors of n?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -183 times -3214\nAnswer: 588162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 9. Let u(r) = 1287*r - 1404. Calculate -156*k(z) + u(z).\nAnswer: 1131*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3 + 30. Let t(i) = 3*i. What is t(z(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -20*u**5\/3 - 36*u**4 + 2680*u**3\/3 + 1296*u**2 + 1120*u\/3 = 0?\nAnswer: -14, -1, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)\/b*b**(-1\/17)\/b assuming b is positive.\nAnswer: b**(-273\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/1378)\/(4 - 49\/7)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1904 - -1\nAnswer: 1.1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z - 4, 0 = 2*p - z - 40. Suppose -16 = -5*v - 3*y, -4*y = -18*v + p*v + 7. Put -7, v, 1, 4 in decreasing order.\nAnswer: v, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/27*150\/(-20)*-3. Suppose -22613 + 107038 = c*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3138033)\/(-295) - 1\/(10\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 632842 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 50*i**2 + 313*i - 202. Is 86 a factor of r(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 - 122158110*d + 746130191938605 = 0.\nAnswer: 12215811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 + 84 + 787 - 110)*(-6*q + q**2 + 6*q).\nAnswer: 1041*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 231928933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/110 and 13\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29029327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2606 - 119*u + 49*u + 4*u - 2606.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66515, -133031, -199547, -266063, -332579, -399095?\nAnswer: -465611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 smaller than 872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 - 3*q**2 + 5. Let u be g(3). Let k = u + -22. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 - 851*x + 634. What is the remainder when 1487 is divided by g(121)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -0.42. Let m = o + 0.26. Put -2, 3, m in ascending order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203*r - 10 = 3*m - 3205*r, -32 = 9*m - 4*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h - 56. Let s be i(12). Differentiate -68 - 12*q**3 - 19 - s - 18*q**3 wrt q.\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/15)\/(4\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 52, 118, 222, 376, 592, 882, 1258?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3379*m*n + m*o + 2*n*o - 71*n - 1067*o + 54 wrt n?\nAnswer: 3379*m + 2*o - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*a - 4*j - 226, 125 = 103*a + 115*a - 208*a - 5*j for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**8\/504 - r**7\/35 - r**6\/6 - 22*r**5\/45 - 2*r**4\/3 + 77*r**2 - 2. Factor g(w).\nAnswer: -2*w*(w + 2)**3*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 10. Calculate the remainder when 23 is divided by 4 + s\/4*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540 - 552 - (174\/(-15) + 0)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2, 5*v = v - 2*j + 10. Factor -v - 3*p + 2*p + 2*p + p**2.\nAnswer: (p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4647279 and 39391222?\nAnswer: 827215662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 646142 and 738448.\nAnswer: 5169136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1566937 take away 82507527?\nAnswer: -82507528.1566937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642651991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*c = -60, 11*m - 6*m - c - 127 = 0. What is the remainder when 96 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**4*p + 55*j**2*p + j**2 - 9*j*p + 4*j + p wrt j?\nAnswer: -12*j**2*p + 110*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 4*g + 84. Let t be j(0). What is the greatest common factor of 96 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 - 1*6). Let a(l) = -l**3 - 226*l**2 + 4922*l + 496. Let k be a(-246). Solve x - q*b - 24 = 0, -k*x + 14 = -8*x - 2*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 49, 0.7, 0.0157 in descending order.\nAnswer: 49, 0.7, 0.5, 0.0157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*w + 90. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) -29\/5 (d) 3\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 6, g: 3, b: 3, v: 2, i: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 141. Suppose -2*q = 4*z - m, 0 = 4*q + 17*z - 20*z - 175. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-6))\/(5973\/(-3258)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 20. Let r = -7 + p. What is the units digit of r\/((-4)\/22) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 16, 5*f + 16 = 5*q - 9*q. Let w(t) = 2*t + 4. What is w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-17)\/a)*a))\/(a*a*a*a**(-17)*a*a*a*a)*(a\/(((a**(-2\/21)\/a*a*a)\/a)\/a*a))**43)**(-28\/5) assuming a is positive.\nAnswer: a**(-640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173146187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9155749 rounded to the nearest one thousand?\nAnswer: -9156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2355.177252 to one decimal place.\nAnswer: 2355.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140289 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2076672, 4153345, 6230020, 8306697?\nAnswer: 10383376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.103694*-5\nAnswer: -0.51847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1.1, 1\/44, -0.06, -1\/14.\nAnswer: -11, -1.1, -1\/14, -0.06, 1\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**7\/525 + i**6\/150 - i**5\/150 - i**4\/30 + 9*i**2\/2 + 2*i. Let a(k) be the first derivative of t(k). Factor a(p).\nAnswer: 2*p*(p - 1)*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 1587?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-175)\/(2\/(0 - 2)). Let n be (-27)\/36 + 37\/(-4). Let f be (-64)\/n*p\/10. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-58)\/40. Which is the third biggest value? (a) 3 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -210120121122?\nAnswer: 210120122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50793989093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let f(k) = 3 - 93*k + 188*k - 93*k. Determine -5*f(x) + 8*g(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -313*v - 621. Let k be a(-2). Let m be 2\/7 + 90\/(-21). Let s be m\/6 + (-56)\/(-12). Solve -k = g - s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:09 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1394, -1128, -862, -596, -330, -64?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -38*p + 24. What is the closest to 0.1 in -57\/4, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725677 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2241, 4452, 6663, 8874, 11085?\n\"Answer: 2211*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5344670*q**3 + 17583901*q**2 wrt q?\nAnswer: 32068020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 - -101. Let s = r - -72. Which is smaller: s or 29\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = 3 - 3. Let r be 4*(12\/16 - u). Is ((-1366)\/r)\/(10\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -26, 0, 1, -2 in descending order.\nAnswer: 9, 1, 0, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 + l)*(-389 - 91 - 153).\nAnswer: -633*l - 633","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b**5 + 53*b**4\/2 + 14*b**3 + b**2\/2.\nAnswer: b**2*(b + 1)**2*(26*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.98 + -4. Let g = -0.02 - z. Suppose 5*x - 4*l - 41 = 0, -l - 19 = -4*x + x. What is the nearest to -0.1 in 3\/2, x, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglldglpaag. What is prob of sequence dg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:55 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 + -5?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 56\/9*y**3 - 25\/6*y**2 + y - 4\/3*y**4 - 42. Factor k(w).\nAnswer: -(w - 3)*(4*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 + 2*q**2 - 5. Let j be ((-10)\/4)\/(1\/2). Let g(r) = 4*r**3 - r**2 + 2. Determine j*g(n) - 2*f(n).\nAnswer: -4*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + x**3 + 35*x**2 - 1 + 2*x - 30*x**2. Let v be 1*(-4 + (1 - 0)). What is h(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76543?\nAnswer: 76543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n - 1. Let x(w) = -w**2 + w - 2509. Determine x(a(f)).\nAnswer: -121*f**2 - 33*f - 2511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*y = -25, 0*a + 2*y = -5*a + 4. Let i = 1055.9 - 1056. What is the closest to -3 in a, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p + 0*p)*(-2 + 3 + 1)*(-150*p - 110*p**3 + 150*p) to the form v*p**3 + r*p**2 + k*p + h + s*p**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1800 = -10*w + 4*w. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - (1 - (-2 - 0)). Let k be (-6)\/g*(-8 - -3). Solve 0 = 2*v, 0*x = 4*x - k*v - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 5*v + 1. Let f be k(4). Suppose -c + 7 = n, 4*c - 4*n - f = 7. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 4*x**2 - 1. Let p(c) be the first derivative of -c**3\/3 + c - 4. Let o(v) = -l(v) - p(v). What is the third derivative of o(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5025825 and 48825?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*l - 5*l + 40, o = l - 10. Let g(m) = 2*m**3 - 9*m - 13. Let v(p) = -3*p**3 + 13*p + 19. What is o*v(d) - 7*g(d)?\nAnswer: d**3 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h - 370000. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13492228817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 49) + (-9 - -4) + 5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7734, 7645, 7544, 7425, 7282, 7109, 6900, 6649?\n\"Answer: -m**3 - 82*m + 7817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z - 14 - 13*z**2 - 14*z + 11 to s*z**2 + v*z + n and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 40*v**2 - 175*v**2 + 38*v**2 + 48*v**2 + 47*v**2.\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 172*q**5 + 172*q**4 - 368*q**3 + 40*q**2 - 8. Let r(n) = -115*n**5 - 114*n**4 + 246*n**3 - 27*n**2 + 5. Let y(s) = -5*h(s) - 8*r(s). Solve y(z) = 0.\nAnswer: -2, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 0*g - 10 + 10\/3*g**3 + 0*g**4 + 2*g**5 + 0*g**2. Find the third derivative of x(o) wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p - 11. Let y be (-2)\/(-4)*-2 + 6. Let k(m) = -3*m + 5. Let v(u) = y*k(u) + 2*g(u). What is v(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/11 - 57\/44. Let f be (42\/28)\/(5\/(-2)). Which is the nearest to 1? (a) 0.3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 27*r**2 - 61*r**2 + 30*r**2 - 2. Let s(q) = q**3 - 5*q**2 - 5*q - 8. Let w be s(6). Let h(u) = 5*u**2 + 3. What is w*h(l) - 3*i(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 + 1265882*d**2\/9 - 2531770*d\/9 + 140654.\nAnswer: 2*(d - 1)**2*(d + 632943)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (7 + -8)*(-1 - 10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/3)*u)**(-3\/25)\/(u*(u*((u**0*u)\/u)\/u)\/u*u**(-5)))**7)**(-34) assuming u is positive.\nAnswer: u**(-5712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.011, 1.8, 80?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 44840 = -5*t + 52802, -2*t = v - 39064. Is t a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23421 and 499437.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 3:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50842, -50835, -50828?\n\"Answer: 7*q - 50849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 divided by -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.0582 - 0.0582. What is the nearest to 0 in 5\/2, -2\/13, 1\/4, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/35, 37, -1\/164.\nAnswer: -0.2, -2\/35, -1\/164, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 1. Let k(h) = -2*h**3 + 5*h + 6. Calculate 5*b(z) + k(z).\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 65 = -13*s. Suppose -s*n = -29 + 34. Does 9 divide (-136 + 1 + -4)*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11)\/(-33) + 3836\/3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/4 (b) -3\/17 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.3. Let h = -79\/2 + 38. What is the closest to x in h, -5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o - 9 = -68*o. Solve -8*a - o*a + 8*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -513 + 775. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -63*w**2 + 1. Give x(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/(-756)*-9 - 5\/(-3). Let n = 16 - 47\/3. What is the nearest to n in -4, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1)\/(4\/(-8)). Suppose 2*h - 120 = -v*h. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/594)\/(1\/(-3105)). Let t be (1*282)\/((-27)\/(-18)). Let s = q - t. Which is the second biggest value? (a) 11 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 - 4*l. Let d be f(5). Sort d, 4, -4.\nAnswer: -4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 77652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m. Suppose -q - 2 + 3 = 0. Let l be o(q). Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (-2 + 3 + 0)*(-2 + 11 + 0))*((829 - 165*x - 829)*(5 - 5 - 1) + (3 + 1 - 2)*(4*x - 6*x + 3*x)).\nAnswer: 1837*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221331 + 3?\nAnswer: -221322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. What is the closest to h in -3\/7, -0.2, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d - 30*d + 659*d**3 + 91*d - 36*d.\nAnswer: 659*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 3 + l**3 - 4*l + 0*l**2 - 4*l**2 + 5*l**2. Let w(b) = b**3 - 2*b**2 - b - 15. Let a be w(4). Suppose -15*u = -a*u + 10. Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 2\/11 (c) -0.29 (d) -4 (e) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/15, -0.31, -11 in descending order.\nAnswer: 2, -4\/15, -0.31, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 1, i: 1, d: 1}. What is prob of picking 1 d, 2 p, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/90*4 - (-2559)\/45. Suppose -9 + f = -8*t. What is the units digit of (16\/(-6) - -2)\/(t\/621)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 7 + 23. Suppose -2*n = 3*u + 1, k*n + 26 = u + u. Let w(t) = -t**3 + 3*t**2 - 4. Determine w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2805 - -2809. Let w(u) = u + 7. Let p be w(-4). Suppose p*t + 0 + 6 = 0, -5*r - t + 23 = 0. Solve -2*j - 10 = -4*c + 2*c, j + r = n*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by 12\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12022102210221 (base 3) to base 14\nAnswer: 536c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10)*-1) - sqrt(18))\/(-2*sqrt(144)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113 and -7?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:02 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -513+-35557\nAnswer: -36070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -23, -24, -25, -26, -27?\n\"Answer: -d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -60. Put -4, m, 1 in increasing order.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b**2 + 647*b + 4. What is the tens digit of g(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -173 + 185 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280.2 * 1128.89.\nAnswer: -316314.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1 - a**2 + 3 + 0 + 15*a. What is the units digit of j(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6054*d - 198298. Give k(33).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 14751*a**2\/2 - 4*a + 1. Let u be i(4). Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = w - 160 - 433, -2*w = 2*g - 1186. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-3)*y*y*y)\/((y*y**(2\/7)\/y)\/y*y))**(-43))**(-41))**(3\/8) assuming y is positive.\nAnswer: y**(26445\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 8*s. Let g be 52\/39*(-7)\/(112\/(-516)). Suppose 4*o = -g*n + 45*n - 32, 3*n - 20 = -o. Give b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -23b694?\nAnswer: 23b698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1899, -1\/4, 0.0058?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2988 = -2*v, 0 = v + 2*v - 3*t - 4482. Suppose h - 2*p + v = 3*h, -3*h + 2245 = 2*p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-272)\/(-34) - -34*1. Let z(y) = y**2 - 40*y - 84. Let x be z(a). Let h = 2 + 0. Solve x = -4*l - h - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 + 7*n**2 + 10*n + 31. Let j(t) = -3*t**3 + 5*t**2 + 7*t + 21. Calculate 7*j(b) - 5*x(b).\nAnswer: -b**3 - b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 5*n**2 - n - 5. Let r = -13 - -8. Let g be a(r). Let o(y) = 0*y**2 + g*y**2 + y**2. Let w(s) = -s. Calculate o(w(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -21*d + 12*d + 1. Put -1\/4, d, 1\/2, -19.2, 2\/15 in decreasing order.\nAnswer: 1\/2, 2\/15, d, -1\/4, -19.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 8 - 8 + (n + 0 + 0)*(-1 + 2 + 0))*(2*n**2 - 4 + 7*n - 7*n) to the form p*n + r + j*n**3 + u*n**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.553\nAnswer: -4.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92, 85, 82, 83, 88, 97, 110?\n\"Answer: 2*n**2 - 13*n + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -298 + 2091\/7. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -693\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8 - 21)*(j + 4*j - 6*j)*(j + 3*j - 3*j) - 3*j**2 + 4*j**2 + j**2 as k + h*j**2 + p*j and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*f + p - 14, -10 = -5*f - 2*p. Calculate the lowest common multiple of f and 1256.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 9*h + 3. Let o(k) = 2*k**2 - 4*k + 1. Let d(p) = -3*i(p) + 5*o(p). Let s be d(-8). Suppose 0*j + 36 = s*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 2*p. Calculate the remainder when j(4) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 0.5, 13\/4, 3\/5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 6*j + 6 + 6*j - 2*j - 2*j + (-2 - 4 + 4)*(2*j - 2*j - 2*j) - 227*j + 201*j - 322*j to b*j + v and give b.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/3 + -1. Let q be 7\/20 - 6\/(-15). Which is the nearest to 1? (a) n (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4 - 396*c**3 + 400*c**2 + 396*c - 398 = 0.\nAnswer: -199, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(9\/(-2))*-3. Let t(r) = u - 5*r**2 - 7 + 2 - 2*r. Let p(l) = -5*l**2 - 3*l - 4. Let f(s) = 4*p(s) - 5*t(s). What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + 534. What is the highest common divisor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (242 + 20*o - 242)*(o - o + o)*(-2*o - 5 + 5)*(-3 + 3 + 2) to the form d*o + l*o**2 + f + q*o**3 and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 75 + 9 = 0. Suppose 0 = y*k - 31*k + 6490. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -179, -384, -671, -1040?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1406772260 + 1?\nAnswer: 1406772261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + 13?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/3 - 143\/15. Let u = 15.6 + -15.6. What is the second smallest value in u, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257927 is divided by 2223?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*n**2 + 55203121*b**2*n + b**2 + 314*b*n**2 - 2*b*n + 9*b - 305*n**2 + 2*n - 4 wrt b?\nAnswer: 6*n**2 + 110406242*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 4*s**3 - 13*s**3 + 0*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 27. Suppose 4*m - 122 = -2*w, 0 = -3*w - m - o + 223. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40079 greater than or equal to -40079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-81*n**2 + 291*n**2 + 256*n**2) to the form d*n**2 + u*n + f and give d.\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 41941449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7883258\/173 + -45568. Is w less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-20)*955\/(-573)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2250691*n + 2654645?\nAnswer: 2250691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 17*i + 9. Calculate l(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 4 (c) 2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32648994892 - 3.857\nAnswer: 32648994888.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 3) to base 10\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -3.446?\nAnswer: -3.446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/13*(-2)\/(-4). Let x = 23\/84 - -10\/21. Which is the third smallest value? (a) q (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1705\/15 - 1\/(-3). Let o be 51*(-60)\/(-510) + (295 - (0 - 3)). Calculate the highest common factor of o and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9327, -37080, -83245, -147816, -230787, -332152?\n\"Answer: q**3 - 9212*q**2 - 124*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333.4 - 333.8. What is the fourth smallest value in v, 6, -1, 0.3, 1\/16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-22\/3)*y\/(y\/y**(-2\/3)))\/(y**20)**(-3\/43) assuming y is positive.\nAnswer: y**(-284\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28301242 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*n**3 - 11*l**3 + 450*l**2*n + l**2 - 1333*l*n**3 + 51*l*n**2 + 2*n wrt l?\nAnswer: 18*l*n**3 - 66*l + 900*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let b(v) = -v. Let k(q) = -b(q) - 4*c(q). Let s(x) = x. Let m(l) = 4*k(l) - 15*s(l). What is m(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/3 + 39. Let y(b) = 6*b + 8. Let n be (-1 + 4)*(-16)\/6. Let z(f) = -f - 1. Let q(p) = n*z(p) - y(p). Give q(s(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 6*u - 5. Let m(n) = 2*n - 2. Let v be m(3). What is the lowest common multiple of (-7 - (-430)\/70)*(-14)\/2 and w(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.4. Let s = -207 + 208. Which is the nearest to s? (a) -4 (b) 0.02 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a + 8 = 0. Suppose 5*d + 5*h - 37 = -22, -7 = 3*d - h. Sort d, 3, a in decreasing order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 - 15*v - 3 + 13*v + 4*v**3 + 2 to the form d*v**2 + x*v + r + o*v**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 155 = 3*q, 36 = 5*q + 11. Let f = -18 + k. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {l: 3, e: 2, y: 5, i: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 8*l + 11. Calculate o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p**2 - p. Let v be n(-1). Let c = 18 - v. Let b = c - -16. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 - 4*x**2 + 18*x - 6. Let l(g) = 7*g**3 - 5*g**2 + 19*g - 7. What is -5*f(c) + 4*l(c)?\nAnswer: -2*c**3 - 14*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 1 - 2*m + 117*m**3 - m - 121*m**3 + 4*m in the form z*m + n*m**3 + w + x*m**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 5*t**3\/3 - 100*t**2 + 555*t + 4044. Let b(c) = 0. Calculate c.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4580*d = -4543*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 21 = -2*w, 10*a - 6*a = -2*w - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 27220 and -5.\nAnswer: 27215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28478 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 160368?\nAnswer: 160318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-1 - 2 - 7 + (-3 + 0 + 2)*(-2 + 2 - 1))*(-3*v**3 + 7639*v + 2*v**2 + 15 - 7639*v) in the form y*v + s*v**2 + l + o*v**3 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-47)\/(v**0)**(3\/5)*v**(-7)\/(v*(v*v**(2\/3))\/v*v)*v**(-3)\/v**(-2) assuming v is positive.\nAnswer: v**(-506\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 115\/858031 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6660715 and 3997?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -577, -629, -679, -727?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*o + 21. Let t(p) be the first derivative of 1\/18*p**4 - 2\/45*p**5 + 3 + o*p**3 + 0*p**2 + 0*p. Factor t(f).\nAnswer: -2*f**3*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(275) - sqrt(11)).\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 57 = -r - 3*d, 4*r + 5*d - 207 = 0. Suppose -5*f + r = -87. Calculate the highest common factor of f and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrwrawawwrkadrawr. What is prob of sequence wwk?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (-6 - (9 - 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3033 + 1.0033. What is the closest to 3\/61 in 0.3, 2, x, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5798?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/779 (b) 13 (c) -2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 11, 3, 0.06168 in decreasing order.\nAnswer: 11, 3, 0.06168, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*v = 3*g - 4, 4*g = -5*v + 3. Which is the second smallest value? (a) -0.1 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 - 7*y**2 - 2*y + 1. Calculate n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*n - 27816, -16668 = -3*s - 10*n + 7*n. Let v = -10560 + s. What is v rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f**2 - 890*f + 7 - 5 - 2 + 890*f.\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + -2*(sqrt(363) + 3 + -1 + sqrt(363) + -5*(0 + sqrt(363))))**2.\nAnswer: -1320*sqrt(3) + 13168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**2 - 4*o + 121. Let a(t) = -3*t**2 - t + 2. Give 4*a(z) - b(z).\nAnswer: -z**2 - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - (9 - -16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-60)\/(-48)*20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x - 9. Let w be h(-6). What is the greatest common divisor of 525 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412916799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30570 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17155108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -9*l - l**2 - 5*l**3 + 0*l**5 + 0 + 0*l**4 + 29\/210*l**7 + 0*l**6. What is the first derivative of x(a) wrt a?\nAnswer: 116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t + 3*k = 75*t + 29, 15 = -t - 4*k. Let c(s) = 2*s**3 + 7*s**2 - 4*s + 8. Let z(a) = -2*a**3 - 6*a**2 + 4*a - 7. Calculate t*z(g) - 6*c(g).\nAnswer: 2*g**3 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + -0.1. Let c = -1.99999976 - k. Round c to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006459 rounded to five dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.11 (b) 0 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6180, 12587, 19558, 27093?\nAnswer: 35192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 620759889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2105 divide 113295310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from zzjqiwdq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -174 (c) -1\/8 (d) 3\/43 (e) -2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*p - 334*p - 335*p + 9*m - 357 = 0, -p + 5*m - 193 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34270 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - (-1 - -1 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296566051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 17*y**2 + 17*y - 10. Let b be h(16). Solve -9 = 5*g + b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 0. Let a = x + 17.2. Let r = 8 + -13. Sort a, -4, r.\nAnswer: r, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -969\/8 + 121. What is the biggest value in 6\/5, -0.4, p?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j\/(j*j**(-4\/5)*j)*j)*(j*j\/(j*j**(-6)*j))\/(j\/j**(-2)))**(-2\/67) assuming j is positive.\nAnswer: j**(-32\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -523*b - 518. Let p be y(-1). Solve -4*q + 25 = 3*u, -3*u + 5*q - 6 = p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 61*p = 109*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2316, 4284, 6634, 9558, 13248?\n\"Answer: 32*x**3 - x**2 + 1747*x + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, o: 7, k: 4}. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 623.9 - 623.90004517. Round w to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20195*d + 20197*d + 20179*d + 20200*d + 20196*d - 100970*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 22. Let v = z + -47.999755. What is v rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71774 - -71774. Let o = 17\/48 + 5\/16. Factor z + 4\/3*a - o*a**2.\nAnswer: -2*a*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 9}. Give prob of picking 3 d.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/7 - 268447*r**2\/7 - 18014471403*r\/7 + 198191668851\/7 = 0. Calculate r.\nAnswer: -134229, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by -7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2885 (base 10) in base 12?\nAnswer: -1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Find the third derivative of -4*a**k - 4*a**5 - a**2 + 6*a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32906001 - 14158*s**2 + 2*s**4 - 359*s**3 + 32906001 wrt s?\nAnswer: 48*s - 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10*y + 0 + 5 + 7.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -4, -5, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, g: 3}. What is prob of picking 4 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 1. Let g(j) = -j + 1. Suppose 0 = -5*o, 5*a - o - 4 = a. What is a*s(r) - 5*g(r)?\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614 or 844?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bkkbkkkbj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 15*p + 17. Let y be g(-14). Let b = y + 2689. Suppose b = 9*h - 181. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3772 - -16.2?\nAnswer: -3755.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 11, -0.3, -68 in increasing order.\nAnswer: -68, -2\/3, -0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2359305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21669 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.351 + -0.551. Which is the biggest value? (a) w (b) 2 (c) 2\/15 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 12, 40, 82, 138, 208, 292?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 + 187. Solve c = -3*l, 4*y + 3*l = -l - 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 0*f**2 - 1\/2*f + 0 + 1\/2*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -160041848*d - 487775199 wrt d?\nAnswer: -160041848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02090168143875 - 0.03.\nAnswer: -0.05090168143875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. Let o be (3 + 7\/(-2))*h. Suppose p - 55 = -o*p. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.05. Let k = 0.25 - h. Let o be 6\/(-2)*4\/6. Which is the nearest to -0.1? (a) 3 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/31)\/s)\/(s\/(s*s**(1\/27))))**(1\/3) assuming s is positive.\nAnswer: s**(-833\/2511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120b (base 13) to base 3.\nAnswer: 1111202111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006?\nAnswer: 2, 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3287 or 3234?\nAnswer: 3234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/((-3)\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 95 = 101. Suppose 5*u + 2*s - 720 = 0, -3*u + 432 = -s - p*s. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 2*u**4 - 47 + u**3 + 4*u**2 + 142*u - 11*u**2 + 0*u**4 - 140*u to z*u**3 + n*u**4 + c*u + d + s*u**2 and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and (894\/(-4))\/((-6)\/4) + -5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 4 (c) -0.8 (d) -13521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 21. Let n be p(10). Let x(u) = -10*u**2 + 2*u - 1. Give x(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*w + 20*w. Suppose 0 = -w*f + j + 4435, 5*j + 0 = -5. Let o = f + -1298. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3521 - 3485.62. Let s = 36 - v. Sort 1\/2, 3\/8, -2, s.\nAnswer: -2, 3\/8, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -253 - 5?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2546.4 - -0.3.\nAnswer: -2546.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56433194 to the power of 1\/2, to the nearest integer?\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 + 59. Suppose h = -4*h + d. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12\/y)\/(y*y**(-13)\/y*y)*(y**(4\/11))**(-10) assuming y is positive.\nAnswer: y**(213\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/800 and -157\/91050.\nAnswer: 1456800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i. Let n(v) = v + v + i*v. Let p(o) = -o. Give p(n(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-18 - -19)*-16)*(-1)\/1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 912.4965um?\nAnswer: 0.9124965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/660*3)\/(-3))\/((-7)\/6)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.1, 2, -1, 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.5, 2\/7, 2\/23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2482511 to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 19*i - 4. Let d be q(-19). Let w be 0 + (-3042)\/(-12) + 2\/d. Let t = w - 47. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/(1 + 3). What is the second smallest value in 3, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 + 65*y**3 + 95*y**2 - 165*y = 0.\nAnswer: -11, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 555961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 = 4*t, -42 = 4*c - 5*c - 3*t. Suppose 5*d = -2*v + v - c, 0 = -3*v + d - 19. Is v >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94 and 22.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11308516 is divided by 665203.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(350) + sqrt(350)*-2))\/(3*2*sqrt(2) - ((-1*sqrt(16))\/sqrt(8) - sqrt(2))))**2*4.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 21*s + 1. Let k(p) be the second derivative of -p**4\/12 - 15*p - 2. Determine v(k(n)).\nAnswer: -21*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from fqiiqqamfaaa?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1252*v**3*y - 1619*v**3 + 126*v**2*y + 249 wrt y.\nAnswer: 1252*v**3 + 126*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 6*h**2 + h - 3. Let t = -6 - 1. Let f be g(t). Let k = f + -19. What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.006 + -16.006. Suppose 3*a = -a - 4. What is the third smallest value in a, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 13. Let o be b(4). Let s(z) = -z + 9. Calculate the remainder when s(o) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 56*u**2 + 792*u + 79. Calculate the remainder when v(30) is divided by 138.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 1 + 5*l)*(9 - 2 + 0).\nAnswer: 35*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (975*p + 2582*p + 8 - 16 + 7)*(0 - 2 + 1 + (-1 - 3 + 6)*(4 + 0 - 6) + 5 - 2 - 6 + 1 + 1 - 3 - 3 - 2 + 3) as n + j*p and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - -24 - (4 - 23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -6*(6*sqrt(637)*-1 + sqrt(637) + -2 + sqrt(637) + -3))**2.\nAnswer: 11760*sqrt(13) + 368137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4486 plus 3103?\nAnswer: 7589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -337 - -336.9999366. What is p rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229300033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*p - 0*p. Suppose 5*d + 22497 = 3*i, 5*i - 12548 = p*d + 5447. Let b be ((-96)\/(-5))\/(12\/d). What is b rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2693571 is divided by 4527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.2487572 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 + 4*u + 7. Let w(k) = -13*k**2 + 9*k + 14. Give -4*w(l) + 9*z(l).\nAnswer: -2*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27628 is divided by 13258.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 931547931 to the nearest integer?\nAnswer: 30521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80 - ((-16)\/4)\/1. Suppose 3*p = -3*v + 72, 3*p + p = 5*v - a. Solve 4*l - 8*l = v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.075176 to 1 dp.\nAnswer: 163.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f = -17. Let z(x) = 23*x + 49. Let u be z(-2). Calculate the remainder when 780\/17 - ((-318)\/102 + u) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577394.\nAnswer: 2, 3, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 8*k - 4. Let b be c(6). Let a(r) = -r**2 - 6*r + 1. Calculate the remainder when 15\/1 - (-16)\/b is divided by a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-6 - -3))\/(232 - 227). Solve -27*f - 152 - 37 = o for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s*s**(4\/7))\/s)\/s)))\/(s*(s**19*s)\/s*s)*s**(-18)\/(s**(-20)\/s*s) assuming s is positive.\nAnswer: s**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -127\/4. Let w = 197 - 157. Let b be (4\/(-5))\/(-1 - (-32)\/w). Put x, b, -2\/5 in ascending order.\nAnswer: -2\/5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 - 228*j**4 + 552*j**2 - 696414*j - 2 wrt j.\nAnswer: 40*j**3 - 2736*j**2 + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2\/(-10))\/(398\/(-995)). Let k = -2\/19 - 15\/38. What is the biggest value in 0.01, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 22302*f + 245437. Determine d(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuaauuu. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92428*a*l**2 + 9*a*l - 26*a + 289003547*l**2 with respect to a.\nAnswer: 92428*l**2 + 9*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 33*q - 3 + 22*q - 1.\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3625571 is divided by 1812783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 513712?\nAnswer: 513731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-2)*(-6)\/9. Suppose 5*d = -20, -u + 37 = -j*d - 0*d. Let n(t) = 10*t**2 + 13*t - 76. Let r be n(4). Calculate the highest common factor of u and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 16*f - 9. Suppose f*b + r = 5, -3*b + 5*r = 16 + 9. Solve 26 = -5*v - 2*p - b*p, -3*v = 5*p + 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + ((-1606)\/132 - -11)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -23. Let u = -23 + 31. Let q be (-21)\/t*u\/6. Solve -q*s + 0 = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*k + 64, 4*k = 3*b - 229 + 151. Calculate the remainder when 154 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 61 + -72 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (4*(sqrt(45) - sqrt(180)))\/(sqrt(45)\/(sqrt(5)*-1))).\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.024 - -0.076. Let d = 1209187\/1744665 + 39\/8947. Let j = d + 4\/39. Put j, -0.5, l in descending order.\nAnswer: j, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 15 = 4*i. Let u = i + -9. Find the common denominator of (438\/(-9))\/(u\/(-2)) and -9\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 27. Let m be ((i - -5) + (-55)\/22)*6. Let d = 9 - 6. Solve 8 = u - m*u, -a = d*u + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 3208723*n**3 - 3208731*n**3 - n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3604*g**2 + 75*g + 76. What is the units digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -7*k - 158. Suppose 0 = 13*s + k*s - 323. Calculate the remainder when 31 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 129748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 32*j. Let a(m) be the first derivative of -3*m**2\/2 + 138. What is a(g(v))?\nAnswer: 9*v**2 + 96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 5. Let u be y(8). Let x(w) = -3*w - 2. Let s be x(-2). Let h(l) = 5*l**2 + 14*l + 3. Let i(o) = -2*o**2 - 5*o - 1. Calculate s*h(c) + u*i(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1067 - -1050 - (-2 + -11 + 2)) + 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94 + (30 - (11 + -54))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/279, 0.51, 0, -0.42, -2\/7?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*l + 764*l + 152*l + 1577*l - 69625 = 0 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**3 - 2*o**2 + 6*o + 3640?\nAnswer: 9*o**2 - 4*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 36*m**2 - m - 1. Let o be r(-2). Suppose -o = -5*u - 5*w, 0 = 2*u - 3*w - 23 - 30. Suppose 5*x = 218 - u. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -453 - 580 + 4458*s**2 - 4462*s**2 - 2*s as v + b*s + z*s**2 and give v.\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from ffkfffkf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:33 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*i**3*k**3 + 10*i**3*k*y**2 - 114*i**2*k**3 - i**2*k**2*y + i**2*y - k**2*y**2 wrt i?\nAnswer: 414*k**3 + 60*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o = -113*o - 483*o - 14146 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 7. Let p be s(10). Suppose 0 = p*f - 7 - 5. Suppose 2*u - 5*m = u + 45, -f*u + 165 = -5*m. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719664 divided by 264?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 51, -4, 5 in increasing order.\nAnswer: -4, 5, 8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*w + 2677 - 4129 - 14641 = 0 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -12*h - 4824. Is h a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -2)\/(10\/1247954*13\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -249b - -5?\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 96.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166c40 (base 16) to base 7.\nAnswer: -15330161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67\/20 - -18\/5. Let s = -3.9 + -0.1. What is the third smallest value in s, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Put h, 2\/17, 2 in descending order.\nAnswer: h, 2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 247 = 4*i, -145847*i = -4*n - 145846*i - 46 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**4 + 710*i**3 + 23260*i**2 + 44410*i + 21855 = 0.\nAnswer: -93, -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118501255141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 39, 1.2, 2\/19, -1\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1117*n - 1568. Does 16 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8229186221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**2. Let p(k) = 3880*k. What is x(p(n))?\nAnswer: -165598400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 519, -1966, -4451?\n\"Answer: -2485*k + 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 5)*(-5*u + u + 2*u) - 2*u - 1814 + 0*u + 3407 as f + c*u and give f.\nAnswer: 1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 16. Suppose -j*p + 36959967 = -5*i, p + 2*i = -i + 9239996. Let q be 1\/2 - p\/(-14). What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -50, -128, -242?\n\"Answer: -18*y**2 + 12*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3005*a + 182 = -2979*a - 0. Calculate the remainder when 1273 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 30) + 317 + -300?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 410 - 342 = -4*n, -2*s + 4*n + 56 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. What is the remainder when (-6)\/3*x*5 is divided by 3 + 0 + 4 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -113.\nAnswer: -7\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3072.3 + -3212. Let t = 140 + g. Sort t, 3, -16 in ascending order.\nAnswer: -16, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 - 26*d**2 - 2. Let r(k) = 111*k**3 + 417*k**2 + 33. Let s(u) = -33*f(u) - 2*r(u). What is the third derivative of s(j) wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o**2 - 4659*o - 1866 = 0.\nAnswer: -2\/5, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12865274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Determine z so that z + 6*z**2 - 7*z - 6*z**2 + c*z**2 - 4 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - (-3 - (-20 + 9))) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*s + 306 = -385*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**2 + 5*p. Let t(u) = -9633*u**2. Determine v(t(c)).\nAnswer: -927946890*c**4 - 48165*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 231 + -235. Let c be 2\/(-8) - (-7)\/(-4). Is b at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985584211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80, -103, -148, -221, -328, -475, -668?\n\"Answer: -o**3 - 5*o**2 - o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4600*b + 1361631. What is t(-296)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 173\/5*t**2 + 20 + 5*t**3 - 1\/5*t**5 + 48*t - 9\/5*t**4 = 0.\nAnswer: -10, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 5. Let w be a(-2). Suppose 2*o - n - 3 = 0, 0*o + 3*o = w*n + 1. Put 0, 1, o in decreasing order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -0.07\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455692?\nAnswer: 2, 37, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*x = -145, -3*f + 102 + 112 = -x. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 - 7*s**3 - 2*s**2 + 3*s = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {s: 2, a: 4, q: 5, b: 7}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 76. Let f be 1\/(-3) - z\/(-6). Solve -20\/3*l**3 - 4\/3*l**5 - f*l**2 + 0*l + 1\/3 - 5*l**4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.763 and -0.819.\nAnswer: 13.728897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1180, -1179, -1180, -1183, -1188, -1195?\n\"Answer: -v**2 + 4*v - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - j + 3)*(0 - 1 - 1)*(-293 + 118*j**3 + 293) + (-2*j**2 - 3*j**2 + 3*j**2)*(3 - 3 - 41*j**2).\nAnswer: 318*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*i - 3 = 0, 3*v - i = v + 1. Suppose 3*j + 27 + 24 = v. Let q = 21 + j. Solve 0*l = -q*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.04 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q\/(q\/(q**(-14)*q)))\/q*q*q)*q**(-10)\/q)\/(q**(1\/29)\/(q*(q**(-21)*q)\/q)) assuming q is positive.\nAnswer: q**(-581\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134939.2 centuries to decades.\nAnswer: 1349392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 57161, 2 in descending order.\nAnswer: 57161, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 10*b**2 - 3*b - 2. Is a(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -239*h + 3. Let i be j(-2). Suppose 5*q = 2*z + i, -5*q - z + 487 = -0*z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 40*w - 605. Determine f(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34516763 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -12\/17, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 5*f**4 - f**4)*(-1246 + 367 - 593).\nAnswer: -4416*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4403 - 4381. Solve k*t + 130 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*q - 9 = 4*k, 3*k + 5*q = -36. Let i(d) be the first derivative of -d**2\/2 + d + 1. Is 8 a factor of i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 4, -4\/3, -35.2, 0.2 in increasing order.\nAnswer: -35.2, -4\/3, -0.05, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*x = 0. Suppose i - 3 + 5 = x. Which is greater: -5\/7 or i?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 41*x**2 + 211*x + 47. What is the remainder when (2 - 0) + -1 + 32 is divided by v(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2321*a + 5. Let t(f) = -1159*f - 2. Determine 2*j(h) + 5*t(h).\nAnswer: -1153*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 13431 = 2487. Let j = -491 - a. Is 117 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5 - 168*v**4 - 567*v**3 + 2064*v**2 + 3684*v - 8496 = 0. What is v?\nAnswer: -4, -3, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 73 + -317 + 301.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n + 5. Let y be o(8). Suppose -y - 51 = -4*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**7\/14 - 3*a**4\/4 - 15*a. Find the third derivative of w(o) wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -22*t - 15*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u - 4*u + 29*u**2 - 22*u**2 - 105*u**2 in the form k*u**2 + y + m*u and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -846.999997404 + 847. What is p rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:26 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 53142837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/2 - 13*w**4\/2 + 23*w**3 + 5*w**2 - 175*w\/2 - 125\/2.\nAnswer: (w - 5)**3*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 + 1802*d**4 - 815393*d**3 + 3232804*d**2 = 0.\nAnswer: 0, 4, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 12*q**2 + 2*q - 22. Let c be b(12). Suppose 50 + 18 = 4*a + 4*o, -2*a + c*o = -46. What is the remainder when 71 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1576, -6382, -14424, -25708, -40240, -58026, -79072, -103384?\nAnswer: -130968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkhzphhjzkhzhzzph. What is prob of sequence hzzh?\nAnswer: 15\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c + 1\/20*c**6 - 2 + 1\/20*c**5 + 0*c**3 - 1\/4*c**4 - 1\/70*c**7 - 4*c**2. Factor q(j).\nAnswer: -3*j*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 1 - 4. Let w be (x\/(-2))\/(11\/(-2)). Suppose 0 = 3*t - 3. Which is the nearest to t? (a) 3\/2 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 13 = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2281*-6.49\nAnswer: 14803.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.7 + 125. Let i = -7 - f. Let x = 62 + -61.5. What is the nearest to -1 in x, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 23, 24, 23, 20, 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -13, -30, -61, -112?\n\"Answer: -d**3 + 2*d**2 - 8*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 885432 and 2844.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:22 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let z(d) be the third derivative of d**5\/60 - 4*d**2. Let g be z(k). Is g at most as big as 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445171723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (11 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 2, l: 5, g: 6, r: 2}. Give prob of sequence kkg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -121723632 divided by -1690606?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 165 + 429 = 0. Suppose 5*p - x = -2*u, -p = -u + 4*u - 112. Let r = 34 - u. Sort -6, 5, r in decreasing order.\nAnswer: 5, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*q = -140*q + 9. Let v(y) = y**2 - 29. Let i be v(6). Solve -2*r = o, -q*r = -5*o - i*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/24*k**4 + 39\/2*k**3 - 8*k**2 + 0 + 0*k. Let j be a(0). Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 187, 748, 1683, 2992?\n\"Answer: 187*k**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f = 27*f + 30. Let a(k) = -k**2 + 8*k + 2. Let l be a(8). Solve f - l = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 16128175.\nAnswer: 32256350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5088 and 151\/36.\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 152 = 6*g - 3*g, -3*y - 228 = 5*g. Let v = 173 + y. Suppose -v = -2*h + 45. List the prime factors of h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*g**4 - 64*g**2 - 3990 with respect to g.\nAnswer: -88*g**3 - 128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-4))\/a)\/a*a**(2\/11)*a*a**(-2)\/a*a*a*a**3)\/(a*a**(1\/5)*a*a\/(a**(-1\/9)*a*a)*a*a)**(-4\/7) assuming a is positive.\nAnswer: a**(27976\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 492*d + 972.\nAnswer: 3*(d + 2)*(d + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 2, -5, 3, 10, 5 in descending order.\nAnswer: 10, 5, 3, 2, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-5)\/(-10)*(-103)\/(-412). What is the second smallest value in 0.06, g, -1\/3, -0.04, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -16*l**3 - 3*l**2 + 7*l - 1. Let o(b) = 5*b**3 + b**2 - 2*b. What is -7*o(i) - 2*q(i)?\nAnswer: -3*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(3 + 45) - 1631\/(-8). Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*i*p - 41729*i + 28017275*p wrt i.\nAnswer: -28*p - 41729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.60957*-4.\nAnswer: -82.43828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5043*k - 16 + 5007*k + 4896*k - 19466*k + 4971*k to g*k + u and give g.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363.04 - 363. Which is the third biggest value? (a) 5 (b) -2 (c) -2\/19 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 276*c + 643. What is l(53)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 282058 (base 13) in base 16?\nAnswer: ee2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539, -5, 116892.\nAnswer: -5, 539, 116892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -617 and -2.1.\nAnswer: 1295.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37*8\/(-4)*(-2*3)\/(360\/(-30))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -12 - (-1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -6 - (100 + -55 + 4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3150*d**3 - 4114020*d**2 - 1097048*d\/7 - 10448\/7 = 0. What is d?\nAnswer: -1306, -2\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 0.1, -0.65 in descending order.\nAnswer: 143, 0.1, -0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 16*(-6)\/(-8)*9?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000193429853 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + 89*c**3 + 14*c**2 - 8 - 88*c**3 - 2*c. Suppose 2*a - 47 = 5*g, 5*a - 4 = a. Let l be r(g). Solve -l = 5*s - 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6563247 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 - 2\/(-2). Suppose 0 = 3*p + 5*h - 16, q = -h + 1 + 1. What is the derivative of -t**3 - t**p + t**2 + 14 + 0*t**2 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*o + 1593*o = -138 - 114 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, -4, -30\/13?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 14*r + 19976944. Suppose -9*x - r - 22882 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 2684?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 14979138.\nAnswer: 14979138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 4. Let o be w(9). Suppose -3 = o*i - 178. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8080*j - 11345*j - 1910*j - 11883*j + 6269*j)*(6*j - 3*j + 0*j).\nAnswer: -80847*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 * 0.1.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {v: 1, h: 3, z: 3, d: 2, l: 4, o: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 + ((-88)\/(-48) - 0). Suppose 5*i + 113 = 4*y, m*y + 60 - 1 = -3*i. Let d be ((-2720)\/(-12))\/(2\/(i - -3)). What is d rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let y(i) be the first derivative of -8*i**3\/3 - 5*i**2\/2 - 3. Let o(k) = -7*k**2 - 4*k. Let r(q) = 5*o(q) - 4*y(q). Calculate r(f(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 3 - 13. Let v be (-4)\/((24\/6)\/(d*1)). Solve 0 = -3*i + 15, -2*c - 3*i - v*i = -27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oidb when four letters picked without replacement from mmdbibobmbd?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 261293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003911 to seven dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/120 - 23*r**5\/60 + 77*r**4\/24 - 13*r**3\/3 - 5*r**2 + 8. Let c be a(-26). Solve c = -2*h + 2, -h = 3*k - 2*k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 2, r: 1, m: 1, h: 1, c: 1}. Give prob of picking 1 m and 3 i.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117538.\nAnswer: 2, 17, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1010, 956, 902?\n\"Answer: -54*z + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2344 (base 5) to base 10\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68535091 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46574?\nAnswer: 2, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 30. Determine t(20).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10529413.\nAnswer: 10529413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let q(b) = -4 + 0 - 9*b + 4 + 2*b**2. Give h(q(o)).\nAnswer: -4*o**2 + 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 408\/(-170) + -1 + 3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/2 - (-8)\/16. Let i(y) = 2*y - b*y + 0 + 6*y**2 - 4. Let g(h) = 5*h**2 - 5*h - 3. Determine 5*g(r) - 4*i(r).\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -9 (b) 0.1 (c) -1\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 22 - 28 - -45.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = 7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let x(v) be the third derivative of 2*v**5\/15 + 2*v**2 + 25. Determine y(x(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/6*(78 - 84) - -18\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31072 and 1616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -22*c - 54. Let d be z(38). What is d rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/24)\/(1\/4). Let g be (5 - c) + (0 - 0). Suppose g = -4*k + 4*b + 68, -3*k - 3*b + 69 = 2*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*r - 6501 = -1188 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402 + 1018. Let j = q - 120. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39603.11l in millilitres?\nAnswer: 39603110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29433?\nAnswer: 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2896 + -2542. Calculate the greatest common divisor of d and 590.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209148*i + 209198*i - 3226 - 1574 = 0 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3256533?\nAnswer: 3, 7, 51691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/15)\/(-3))\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 + q**2 + 2*q + 2. Suppose -5*x = 6 - 1. Let j be w(x). Let n = 1 - -6. Which is the third biggest value? (a) n (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 104 = 2*s, -395*c + 395*c + 4*s = -16 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/8 - 11*y**3\/6 + y**2. Is 18 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 + 8*g**2 - 2*g - 2. Let u(d) = -7*d**3 + 15*d**2 - 3*d - 5. Let o(b) = 5*j(b) - 3*u(b). Factor o(r).\nAnswer: (r - 5)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 73*k + 548. What is q(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 428 and 0.001.\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2 (c) 1\/4 (d) -1 (e) -35 (f) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1849, 6, 4, -1, -11.\nAnswer: -1849, -11, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311620919?\nAnswer: 19, 37, 443273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 624405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5753582 divided by -2876791?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -57, 179, -0.041.\nAnswer: -57, -3\/2, -0.041, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 at least as big as 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1602)\/(-20025))\/(3\/1650)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -2, 0 in increasing order.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:19 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 538849104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:45 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.947 times 144\nAnswer: 136.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 - -65243?\nAnswer: 65169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*d = 0, 5*d = 2*c + 3*d + 2. Suppose 247 = 5*n + 4*x, -5*x - 108 = -c*n - 2*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -7*i + 4*n, -3*i - 2*n + 3 = 0. Let l(g) = g**3 + 6*g**2 - g - 2. Let t be l(1). Sort t, i, -2.\nAnswer: -2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 68?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*q - 542, 0*q + q + p - 266 = 0. Let a = q - 107. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 2. Let w be j(-2). Suppose -4*s = -5*y + 2179, 2*y - 886 = -w*y - 2*s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 11573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3200210123 (base 5) to base 6\nAnswer: 354251350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*a + 8, 2*q - 2*a = 2*a - 8. Sort -1, 3, q.\nAnswer: -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9373, -18744, -28115, -37486?\n\"Answer: -9371*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 + 160 = -5*v, -4*v = 2*h - 204. Suppose 2*y = 4*r - 8*r + 52, 4*y = -5*r + h. What is the smallest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23504 is divided by 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 5615 = 23846. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h + 4. Let s(g) = 15*g + 5. Let x(q) = -6*b(q) + 5*s(q). Let i be x(-1). What is the second derivative of -10 + 4*j - j**3 + i wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 12\/335, 5, 5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 4828*w - 352176 = 0 for w.\nAnswer: -1276, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/424 and 83\/4832328?\nAnswer: 4832328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrfrrrrrfcrajfrajf. What is prob of sequence ara?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30303 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - (-13 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-7)\/(35\/(-54)). Suppose -2*h + z + s = -3*z, 5*h = -4*z + 135. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 0 + 30 + 1 - -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 - 0)\/(-150))\/((-1049)\/(-2098)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/19, -73516 in decreasing order.\nAnswer: 3, 2\/19, -73516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4344112632 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/569 and 87\/8?\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 8:16 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 - (-1 - -1 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 0*o**2 + 5*o**2)*(-4 + 4 + 2) + (-2 + 2*o + 2)*(1 - 2*o - 1) - 2*o**2 - 8*o**2 + 2*o**2 - 3*o**2 + o**2 - o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*68\/6. Suppose 0 = -2*m + c - 13. Suppose 5*z - 12 = m*z. Calculate the greatest common divisor of 20 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-16) - 2\/8. Let y be (50\/8 - 7)*-1. Let o = -9.6 + 4.6. Which is the fourth biggest value? (a) y (b) o (c) 0.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-34) + 79506\/119. Calculate the common denominator of 63\/548 and l\/30 - ((-7)\/5 + 2).\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqjqqqqqsqjqq. Give prob of sequence js.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0746, -112, 116 in decreasing order.\nAnswer: 116, 0.0746, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.0033 + 0.0033. Which is the third smallest value? (a) 1 (b) s (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5278 and 2940392.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -0.3. Which is the smallest value? (a) 2\/5 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -27*2 + 1 + -2. Let m = 95 + g. Let c = m + -19. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -44. Suppose -b*m - m + 12 = 0. Let g = m + 7. Solve 5*s - g = 3*z, 3*s - 3*z = s - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116753 - -11994. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111000 (base 5) in base 8?\nAnswer: 104465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -288 + 184b5?\nAnswer: 1822a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 23*v + 46. Suppose -2*w - 38 = -3*w - 3*a, -w = a - v. Calculate the greatest common factor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01381115 to 5 decimal places.\nAnswer: 0.01381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -8 in decreasing order.\nAnswer: 3, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6*g**3 + 24*g**3 + 6*g**3.\nAnswer: 24*g**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1681201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Suppose -5*k + 1 = -d. Let j(t) = t + 8. Let n be j(-4). Solve n*i + k = -3*h, -h - 8 = -i + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 2*y + 6, 3*y + 2082 - 2099 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 344 = 2*f - 11*b - 167, 2*f - 44 = -4*b for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333*x + 3842*x = 110157 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3034*b**3 + 16034*b**2 + b - 413828109 wrt b.\nAnswer: 9102*b**2 + 32068*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 2}. Give prob of sequence pgp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*v + 165*v = 2*h + 18, 0 = 3*v + 3*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1647*x - 232208. Determine i(141).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2605 - -5.3.\nAnswer: 5.5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*o + 6*b + 26 = 219*o, -4 = o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**2\/2 + 1. Let p(a) = -a**3 + a**2 + 24*a - 18. Let j be p(5). Let d(t) = -2*t**j + 36841 - 36841. Give d(y(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Is -3\/20 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrq when four letters picked without replacement from gooogwgqggrwwrrwwg?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161*14981.\nAnswer: -2411941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 5*l - 1. Let j(u) = 5*u - 7. Suppose 0 = 6*b - 7*b + 9. What is the remainder when w(-6) is divided by j(b)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 + 32*m + 128. Let b(w) = -11*w**2 + 64*w + 256. Let n = -3 + 6. Let r(g) = n*b(g) - 5*p(g). Factor r(c).\nAnswer: 2*(c + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -11*i**7\/21 + i**4\/12 + 5*i. Find the third derivative of u(b) wrt b.\nAnswer: -1320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 9*s**4\/4 + 2*s**3 - 9*s**2\/2 - 6*s - 32. Factor y(q).\nAnswer: 3*(q - 1)*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from vycbffcfvvvycvffvff?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -4)*68\/(-10). Suppose -4*p = -5*c - y - 49, 0 = -4*p - 3*c + 91. Let s = -27184 - -27206. What is the highest common factor of p and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64d07 - 144?\nAnswer: 64bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 9. Calculate the remainder when 41 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/7 - 403*r**4\/28 + 1412*r**3\/21 - 670*r**2\/7 + 48*r - 2933. Determine n, given that m(n) = 0.\nAnswer: -84, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - 5*t - 5. Let q(x) = 9*x**2 + 10*x + 11. Calculate 6*q(r) + 13*w(r).\nAnswer: 2*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107506 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -303355?\nAnswer: -303444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 7*y - 1. What is the tens digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**8\/6720 + j**7\/1260 + j**6\/240 - j**5\/40 + j**4\/8 - 5*j**2. Let v(z) be the second derivative of k(z). Calculate v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 2 + -2 + -1*sqrt(17) + sqrt(17))**2 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 200011101?\nAnswer: -200012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24*(-8)\/(-336)*((-4)\/4 + 8). Let f(l) be the third derivative of 5\/64*l**r - 1\/4*l**3 - 1\/160*l**5 + 0*l - 39*l**2 + 0. Find u, given that f(u) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 + 125*s**2 - 23*s - 228. Calculate f(31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -224, -369, -514?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1036*b**2 + 5*b. Let h be x(3). Let p = 122712058919\/13156472 - 2\/1644559. Let i = h - p. Find the common denominator of 6\/13 and i.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5 - 7, -m + 11 = -5*w. Solve 3*i - 4*o + m = 0, 4*o - 17 - 7 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*(5*((sqrt(119) - -1*sqrt(119)) + sqrt(119)) + sqrt(119)))\/(1*-6*sqrt(7)*-3))**2.\nAnswer: 32*sqrt(17) + 4433\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k - 1. Suppose -n + 4*c = 6 + 8, 0 = 4*n - 2*c. Suppose 2*u + 2*m - 30 = 0, 5*u + n*m - 22 = 38. Suppose -u*p = -9*p + 2. What is z(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10648 and 1027312.\nAnswer: 124304752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-998*s**5 + 822857*s**2 - 822857*s**2 - 2)*(11 + 16 - 33).\nAnswer: 5988*s**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 33 = n, -4*z + 180 = 3*n + 34. Let d(y) = -y - 24 - 20 + z. Calculate d(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110\/9, 7\/4, -1224.\nAnswer: -1224, -110\/9, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 124\/10 - (-4)\/(-10). Suppose 3*o - j*t - 6541 = -647, 4*t - 20 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*p**2 + 273*p**2 - 774*p**2.\nAnswer: -721*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -90*f + 269*f + 11 - 89*f - 91*f. Let i = 4 - -1. What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 647 - 1639 = 2*a, 3*a + 3*s + 3429 = 0. Let t = a - -2110. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 111*g**2 - 2193*g - 156. Give t(26).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1870*k**5 + 1862*k**4 + 175788*k**3 + 329872*k**2 + 1408*k = 0?\nAnswer: -8, -2, -4\/935, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*y + 3704 - 7609 - 7944 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272219623 divided by -30043?\nAnswer: -9061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 1 + (6 - 4 + 2)*(286 + 102 - 5))*(-3*t + 4*t + t) in the form j*t + g and give j.\nAnswer: 3058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 27 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.4, -405, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -23*b - 8. Let s(t) = -8*t - 3. What is -3*f(q) + 8*s(q)?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2280541*s**3 - 48*s**2 - 20*s - 665.\nAnswer: -13683246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5*y + 91556*b**3*y**2 + 15*b**2*y**2 - 190*b**2 - 10*b wrt b?\nAnswer: -60*b**2*y + 549336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiijjjjijjjji. Give prob of sequence ijj.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 821*d**6\/120 + 41*d**4\/12 - 5*d**3\/6 - 844*d**2. What is the second derivative of j(z) wrt z?\nAnswer: 4926*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39466460, 39466461, 39466462, 39466463?\nAnswer: 39466464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91387870 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v - 17 + 7 - 7*v - 2 - 3*v**2 = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 + 209.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 5, g: 8}. Give prob of picking 2 z and 2 c.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4123293 to the nearest integer?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -183872409.5 to the nearest ten thousand.\nAnswer: -183870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 4. Let m be 6\/4 + (-19)\/r. Is (33 + 1)\/(m - -9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 845*q - 850.\nAnswer: 5*(q - 1)*(q + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 11 + 8 - 9 - 1164*h to x*h + a and give x.\nAnswer: -1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(2448) - 1*sqrt(2448)) + 3 + 2)**2 - (5 + ((-3*(-1 + sqrt(2448)))**2 - ((sqrt(2448) + -1)*1)**2))) + -2.\nAnswer: -19598 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/28 + (112\/(-49))\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/6*810\/(-315)*(-3)\/(-3). Solve -q = -27*w + 30*w - 9, 2*w = 4*q + o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 1) + -21 + -4 + -65?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1275\/6)\/(((-8250)\/(-60))\/(-55))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -4, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24489 + 16451. Round j to the nearest 100.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let i be c(2). Let z(n) = 8*n**2 + 17*n + 8. Let j(t) = t**2 + 2*t + 1. Let g(k) = 18*j(k) - 2*z(k). Calculate g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -297 in -0.03773, -2\/15, 4, 0.02?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-49) - 682\/(-1848). Let s(x) be the third derivative of -15*x**2 + 0*x - j*x**4 + 0*x**3 + 0. Let i(f) = 2*f**2. Determine s(i(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*k + 18, -12*m + 7*m - 33 = -4*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172, 383, 582, 763, 920, 1047, 1138?\n\"Answer: -b**3 + 218*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plldlpdpix. Give prob of sequence lpi.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j. Let q(r) = -12*r - 9 + 2 + 2*r + 0. Let o(t) = 9*t + 6. Let n(l) = 7*o(l) + 6*q(l). Calculate n(h(y)).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -32*s - 3. Give o(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1343853 divided by 447951\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6031345845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 35*g**2 - 2*g**3 - 96*g**2 - 160*g**2.\nAnswer: -2*g**3 - 221*g**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585197, -1170399, -1755601, -2340803?\nAnswer: -2926005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 4*u - 1. Let q(w) = 16*w**2 - w + 21. Let z(p) = 54*p**2 - 5*p + 67. Let j(y) = -19*q(y) + 6*z(y). Calculate -4*j(f) - 11*s(f).\nAnswer: -3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 + 5*k**3\/3 + k**2\/2 + 3*k. Let n be i(8). Suppose 4*w - n = -b - 0*b, -w + 46 = -3*b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h + 36 = 0. Find the first derivative of -32*i**3 - 65 + 24*i**3 - h*i**3 - 47*i**3 wrt i.\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 35*g**2 + 262*g - 14. Does 61 divide u(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*m + 146*m - 1558 - 302 - 336*m - 884*m wrt m.\nAnswer: -926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-1 - 1). Let t be w\/(-1) - (2 + -5). Let -2*v**t - v + 3*v + 2*v = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-306)\/54 + (-44)\/33\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2173 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = -c - 4, -5*c + 28 = 2*h. Suppose -5*w = -h*j + 8, -3*j + 6 = -w - 4*w. Suppose -j*g - l + 5*l = -4, 3 = 3*l. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/26 - 512\/(-728))*28. Suppose 132 = 4*v + 4*q, -2*v - q + 4 = -57. Let z = v - k. Solve 12 = 3*j + 4*y - 1, 4 = z*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fssf when four letters picked without replacement from {f: 2, r: 1, o: 1, i: 2, s: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxxxn. Give prob of sequence xxnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.622457mg to grams.\nAnswer: 0.005622457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -202. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + 1 - (0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 2*w + 62 = 0, -3*w = -g + 23. Suppose -1 = -3*m + g. Solve 4*f + 3 = -m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0 + 5\/24*m**4 + 1\/3*m**3 + 1\/15*m**5 + 0*m + 1\/120*m**6 - 6*m**2. Factor x(k).\nAnswer: (k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 17748\/180 + 2\/5 + 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 23*r - 27. Solve -15 = -r*a + 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcn when three letters picked without replacement from tvtvccoooootnonoo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/2, -0.2, -3548?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252172, -250652, -249132, -247612, -246092?\nAnswer: -244572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let h = 0 - b. Suppose -5*i + 655 = -h*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/sqrt(2)) + sqrt(7))**2*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10*y - 216. What is the lowest common multiple of (-4)\/(-3)*(-21)\/(-2) and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) - (sqrt(1008) + -3)))*-6)**2.\nAnswer: -2592*sqrt(7) + 36612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 5. Let n be (-104)\/18 - (-2)\/(-9). Let c be f(n). Suppose -z - 3 = 1. Sort c, z, 1 in ascending order.\nAnswer: z, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 709083, 709085, 709089, 709095?\n\"Answer: q**2 - q + 709083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 greater than or equal to -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3\/5 - 872*l**2\/5 + 33796*l\/5 - 32928\/5 = 0.\nAnswer: 1, 49, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.7267 litres to millilitres.\nAnswer: 9726.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q + 5. Let v be p(4). Suppose -1 = -5*i - 3*k, 0 = 5*i - 0*k - 2*k - 16. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 136*u**2 + 858*u - 853. Give c(142).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let z(t) = t**2 - 2*t. Let r(i) = -2*b(i) + z(i). Let u(w) = -10*w + 3. Let k(a) = -29*a + 8. Let o(c) = 3*k(c) - 8*u(c). Give r(o(y)).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s - 60*s + 5929020 = -14*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2202 - 1045 = -4*s, -2*m = -5*s + 4075. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 - 40*l - 490. What is b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/30)\/((-2)\/96). Suppose 3*g - 5*g + 20 = -5*l, -4*g = 3*l - 92. Let s = 60 + g. Calculate the greatest common divisor of s and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l - 3. Let q be d(-2). Let z be (-35)\/(-11) - 2\/q. Suppose 40 = z*c - 53. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19109 + 0.25109. What is the third smallest value in 3, 0.1, f, -1, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/39495 - 38217992\/118485. Let x = -323 - c. Let u = -0.04 + 3.04. What is the second biggest value in 0, x, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + h**3 + 0*h**3 + 7*h + 5 - 5 - 3*h**3 + (2*h + h - h)*(3*h**2 - 5*h**2 + 0*h**2).\nAnswer: -6*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 15*g**2 - 49*g + 13. Let p be f(-10). Solve 0 = 3*k - p*s, -2*k + 2*s - 3 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -67 - 17. Let r = t + 43. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**4\/7 - 52*z**3\/7 + 10*z**2\/7.\nAnswer: 2*z**2*(z - 5)*(5*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 901 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35201, -35203, -35205?\nAnswer: -35207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13042 + 33499. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(13)*3 + 2)*4 + (sqrt(13) - sqrt(325)*1 - -4*sqrt(104)\/sqrt(8)))**2*-2.\nAnswer: -3776 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-147)\/(-2)) - (-46)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 4 - 83*y**3 + y + y + 82*y**3. Let k = -2 - 1. Let n be s(k). Solve -5*v = r - 2*r - n, -2*v - 16 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -2*b**2 - 46. Let a(l) = 10*l**2. Calculate d(a(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + (sqrt(588) - sqrt(588)*-1 - sqrt(588)) + sqrt(588))\/sqrt(12) + (sqrt(245)*-1)\/sqrt(5))\/((sqrt(35)*2)\/sqrt(5) - sqrt(252)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 293*r + 14176. Give j(-48).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-32)\/18)\/(3\/108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -70*b**5 - b**3 + 10*b**2 - 7. Let n(t) = -70*t**5 + 9*t**2 - 6. Let g(d) = 2*l(d) - 3*n(d). Find the third derivative of g(a) wrt a.\nAnswer: 4200*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 18. Let j be i(-21). Let p be (-24)\/8*4\/j. Suppose 3*b - 5 - 17 = -p*t, -2*t = 10. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 12. Let m(b) = 3*b + 15. Let x be m(-6). Let n be r(x). Solve -n = 2*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 11. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 2, y: 1, r: 1}. Give prob of picking 1 y, 1 f, 1 c, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, -3, 3, 158.\nAnswer: -5, -3, 2, 3, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(104) - (sqrt(104) - 2*sqrt(104)))*-1)\/(-4*4*(sqrt(288) + sqrt(288) + sqrt(288)*-2 + sqrt(288))).\nAnswer: -5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -7 (b) -4 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2862*r**4 + 2477.\nAnswer: 11448*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30422 (base 5) to base 8.\nAnswer: 3703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 82. Suppose 0 = 4*i - 14*c + 10*c - 348, -3*c = 15. Let y = i + o. Let b(w) = w**3 + 10*w**2 + 11*w + 11. Determine b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + q + 6. Suppose 16 = 28*w - 40. Let b be i(w). Sort b, -5, -2 in increasing order.\nAnswer: b, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**4 + 1742*u**3\/3 - 2516*u**2\/3.\nAnswer: 2*u**2*(u + 74)*(12*u - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029019 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 7, u: 4}. What is prob of picking 1 v and 2 x?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -427 + 422. Let l(x) = -362*x**2 - 16*x + 714. Let v(h) = 241*h**2 + 10*h - 475. Let q(w) = m*l(w) - 8*v(w). What is the first derivative of q(i) wrt i?\nAnswer: -236*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -797645.7 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 2. Let n be t(2). Which is the third smallest value? (a) 0.2 (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**9\/423360 - n**8\/47040 + 29*n**5\/60 - 2*n**2 - 8*n. Let t(x) be the third derivative of z(x). Solve t(p) = 0 for p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j - 5*w, -4*w + 9 = 5. Let f(g) = -7*g**2 + g + 2. Give f(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 15. Suppose 0 = l*o - 12 - 4. Solve -o*j - 2*w - 16 = 0, -2*j = -4*w - 3 + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let i(l) = -l + 15. Let d be i(11). Let s(y) = -d*y + 3*y + 2*y. Calculate s(v(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(26\/(-117))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = -2*o. Suppose 0 = -2*z + 46 + 10. Suppose c = z + o. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 7. Let z be f(-7). Suppose 0 = -g - z*g + 4. Suppose 0 = -g*j - 16, -5 = -3*m + 2*j + 33. What is the lowest common multiple of 9 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-1) + 0)*(-4)\/5. Let w(c) = c + 8. Let s(t) = -3. Suppose f = 3*f + 5*k - 37, 5*k = 4*f + 1. Let u be (-9 + f)\/((-1)\/1). Give l*s(n) + u*w(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + m + 7. Let q(g) = -g**3 + 8*g**2 - 6*g - 7. Let a be q(7). Let k be n(a). What is the greatest common divisor of 56 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*i = 5, 5*h - 14 + 10 = -4*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 155, 1, -2, -1456?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 686010 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from lzzzmzmzzlzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -206*j**3 - 23*j**2 + 21*j + 16. Let f(x) = -205*x**3 - 32*x**2 + 19*x + 15. Let r(v) = 2*f(v) - 3*u(v). Find the second derivative of r(w) wrt w.\nAnswer: 1248*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 177540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -4 + 2 + sqrt(475) + sqrt(475) + 4 + -5 + 1)**2 + -2.\nAnswer: -100*sqrt(19) + 1926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.666 and -0.5.\nAnswer: -2.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/66*264033\/(-202692).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1435 and 292705.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 11*o + 37. Calculate the lowest common multiple of 119 and v(-7).\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = m, 0 = i + m. Suppose 2*d = -5*k + 2, i = -2*d + 2*k - k + 14. Solve -3 = 3*y - 2*g + 1, y + 4*g + d = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*12\/(-4). Let l = y - -28. Calculate the remainder when 38 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*i + 2*x - x, 3*i + x - 41 = 0. Suppose i = 5*w, 187 = 2*r - 2*w - 47. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 134?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-27) + (-2)\/(-9). Let c(j) = 0*j - 3 + 8*j**2 - 10*j**2 - 5*j - j**3 + 2*j. Let p be c(-2). Solve -5*i = -4*h + p + 1, 5*i - 2*h = -b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 6*x**2 + 2*x - 4. Let h be c(5). Let a = -1544\/7 - h. Find the common denominator of a and 10\/(-48)*(59 + -2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2352 = 14*o - 28*o. Let q be 3\/35 + -4 + o\/40. Which is the nearest to q? (a) 0.1 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*y + 7, -i + 2*y = i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11970)\/133*(-2)\/5. Solve 0 = -3*b - 3*p, -v*b + 4*p = -33*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 166*h - 5. Let a be y(3). Suppose 3*n = 4*x - 0*x - a, -2*n + 478 = 4*x. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 56962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h + 29695 = -1148*h - 399*h - 154985 for h.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13. Let v(i) = -i - 66. Let s(z) = 2*v(z) + 11*x(z). Let a be s(8). Let p = a - -8. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 44, 0.0424, -5, -0.3?\nAnswer: 0.0424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7236*(1\/2 - 0). What is the common denominator of (1\/4)\/(27\/y) and (-81)\/(-16) - 0 - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 20. Suppose j*v - 17 - 15 = 0. What is the remainder when 13 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - k**2 - k - 1. Let h(v) = -6*v**3 - 62*v**2 + 2*v + 4. Calculate -h(f) - 4*s(f).\nAnswer: -2*f**3 + 66*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/13 + 244*w\/13 + 7442\/13 = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*q*s + 2*l**3*q - 15*l**3*s + 3*l**3 + l**2*q - 6*l**2*s + 2*l*q*s + 27*l*q + 2 wrt l.\nAnswer: 12*q*s + 12*q - 90*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17886 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -4*x, -4*w + 16 = 7*x - 9*x. What is the second smallest value in w, -1\/5, -14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, b: 1, z: 1, v: 3}. Give prob of sequence vb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474293341 rounded to the nearest 1000000?\nAnswer: 4474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/2241 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 20.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18282, 1\/340, 13 in decreasing order.\nAnswer: 13, 1\/340, -18282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714318145?\nAnswer: 5, 571, 250199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - 189. Let q = 193 + s. Is q equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468121 to the power of 1\/2, to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 3750. Let y be r(0). Suppose 20*z - 15*z = y. Let w = z - 523. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 37 + -263 + 113?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and -120?\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 - 1332302300?\nAnswer: -1332310320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 8*z**2 + 2*z + 29. Determine p(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2511\/8 + -7501\/24. Which is the second smallest value? (a) 15 (b) -0.06 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (2 + 2 + -5). Solve f + 22 = -p - 4*p, -5*p - q*f = 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50673592 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 86\/14 + -2*1\/14. Suppose 4*c + 3 = -6*a + a, 4*a + h = -5*c. Which is smaller: 2\/163 or a?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -29*h**2 - 5*h + 25. Determine a(3).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 4*x + 110. Let o(f) = -19 + 82 + f - x - 20 - 20. Calculate o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14090 + 38134 = 5061*b - 17900 - 84581 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 6126693*l + 6126690.\nAnswer: 3*(l + 1)*(l + 2042230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 7*q - 4. Let k be s(6). Suppose 12 = -3*b, k*r + 43 - 645 = 2*b. Let u = r + 496. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, 0.3, 5\/4, -86, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110*-412591.\nAnswer: 45385010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + 3*u**2 - 2*u. Let k be g(2). Let r be 56\/(-12) + (-7)\/(21\/4). Let q = r - k. Solve 3*n + q = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10415.\nAnswer: 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 25. Let o(j) = -2*j**3 + 35*j**2 - 21*j + 70. Let x be o(17). Find the third derivative of -4*g**3 + u*g**x - 7*g**3 + 40*g**3 wrt g.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.35866kg to grams.\nAnswer: 68358.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000061696 rounded to seven dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16645 by 300.\nAnswer: 3329\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 695.84444 to 1 decimal place.\nAnswer: 695.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922240 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10101063029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/(w**(-5)*w)*(w**(-1\/2))**8)**1 assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let z(l) = 1232*l**2 - 6*l. Give s(z(a)).\nAnswer: 2464*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67631 is divided by 1534.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgsw when four letters picked without replacement from {q: 1, w: 7, s: 1, g: 5}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*v**2 + 1228*v**2 - 2460*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 81. Let r = y + -59.4. Which is the third biggest value? (a) 3 (b) r (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4689*p - 3613*p - 12912 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1274, 9, -2, 31, 43 in increasing order.\nAnswer: -2, 0, 9, 31, 43, 1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2162*z + 1886 = -16464 - 20566 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 1 - (-5 - -9). Let l(d) = -d**2 + d - 1. Let u(w) = -2*w**5 + 6*w**2 - w + 1. Let j(y) = o*l(y) + u(y). What is the third derivative of j(x) wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53888396 to the power of 1\/2, to the nearest integer?\nAnswer: 7341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:03 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 54 + 9 = 0. Suppose -u = -5*d - 320, -170 = -u - 5*d + 130. Suppose 3*s = -2*s + u. What is the remainder when s is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(30\/7)*c)\/c*c*c)**(2\/133)*(c\/((c\/(c\/c**(-2\/7)*c*c))\/c))\/(c\/((c*c**(-14))\/c)) assuming c is positive.\nAnswer: c**(-9887\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.0766 rounded to 1 dp?\nAnswer: 93.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 823.7 in -31, 4\/5, -3, -10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2 - 9*x - 7 + 9*x - 43*x**2 + 6. Calculate l(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96915501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - t. Let u(w) = 7*w**2 + w - 4. Determine 2*p(s) + u(s).\nAnswer: 3*s**2 - s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 13*m + 40. Let l be r(-15). Is (296 - -11)*(l\/2 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m - 10. Let b be o(-7). Suppose -5 = 4*n + l - 169, 220 = 5*n + 5*l. What is the highest common divisor of b and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11075052 + 5?\nAnswer: 11075057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23244396 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1900 - -3679. What is t rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 75816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*o**3 - 300*c*o**2 + 99*c + 10*o**3 + o wrt o?\nAnswer: -12*c*o - 600*c + 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 132 = 6*q. Suppose -q = -4*t - 5*b, -3*b + 9 = t - 4*t. Differentiate -20 + t + 7*n + 14 + 10 wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/165 - -89\/165. Suppose -4*j + y = 0, -2*j - 2*y = 2*j. Is i >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + -6. Let o be ((-4)\/(-3))\/((-2)\/m). What is the greatest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2224508 and 345488?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 14. Is l\/24 + (-27095)\/(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m**3 + 2*m**3 - 6*m**3 + (-m - 3*m + 5*m)*(m**2 + m**2 - 6*m**2) as k*m**2 + i*m**3 + p*m + z and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 1. Let j be x(-1). Let i(h) = 600000*h**2. Let q be i(j). Round q to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 53*i**4 + 191*i**3 + 245*i**2.\nAnswer: i**2*(i - 49)*(i - 5)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 + 2*q - 3. Let v be z(2). Let u be ((-4)\/(-3))\/(v\/(-9)). Suppose 4*w = 3*p - 15, 13 - 55 = -3*p + w. Solve u*n - 1 = -p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 3*(1 + sqrt(75)))*5.\nAnswer: -450*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 44. Let r = d + -3. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 + 1 - 7*a + 4*a**2 - 2*a. Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (7\/(-3) + 1)\/((-28)\/966).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21194, 45607, 73236, 104081, 138142, 175419, 215912?\nAnswer: 259621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/4 - 395*t**2\/2 - 195087*t\/4 - 7302249\/2 = 0 for t.\nAnswer: -366, -283, -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*x - 7, 0 = 5*v - 3*x - 9 - 8. Let d be ((-1)\/2)\/(v\/(-68)). Let a be 17\/d - (-5)\/2. Sort -2, a, 2 in ascending order.\nAnswer: -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -580 - -1042. Suppose 19*g - c = 17*g. List the prime factors of g.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let q = 0.4 + -1.4. Let w = 0.0159 + 3.9841. What is the second biggest value in y, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Suppose -2*b + 6 = -0*b - 2*v, h = b + 2*v + 6. Solve 5*z + b*z - 15 = -3*w, -4*w + 15 = 5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 2*i + 38. Let l(p) = -2*p**2. Calculate y(l(j)).\nAnswer: 8*j**4 - 4*j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5047 less than 4472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 204.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 35584.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z + 1. Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -93.\nAnswer: 28\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + -1 + 3 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 0, 1, -2\/11, 1\/299?\nAnswer: 1\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16989853 is divided by 1698983?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/804731 and 38\/4937?\nAnswer: 804731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/((-34104)\/224)*(-14)\/18.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 19, 50, -2, 14\/17?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 783204119 to the power of 1\/2, to the nearest integer?\nAnswer: 27986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 1\/4*w**4 - 7\/60*w**5 + 13*w**2 + 0*w**3 + 0 + 0*w. Find the second derivative of l(j) wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2634*h**2 + 2618*h**2 - 2 + 4*h - 2*h + (h - h + 2*h)*(-h - 3*h + 0*h).\nAnswer: -24*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111100110111000 (base 2) to base 14.\nAnswer: -431a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15 + 1)*(-25)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/49, -3, 2 in descending order.\nAnswer: 2, 3\/49, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9562)\/(-4) - ((-30)\/12 + 0)?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szss when four letters picked without replacement from zzszzzzzszszszszzzz.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -33*x**4\/4 - 1407*x**3\/4 - 2223*x**2\/4 - 357*x\/4 + 123 = 0.\nAnswer: -41, -1, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 139*y**2\/2 + 2516*y - 6936.\nAnswer: (y - 68)**2*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = w. Factor v**3 - 2*v**2 + v - 3*v**3 + w*v**3 + 0*v**2.\nAnswer: v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 5*s - 4*s. Let x(g) = -11*g**2. What is x(r(i))?\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a week?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 31. Let a = o - 45. Let y = -32.99979 - a. Round y to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 362\/240*(-12)\/(-18) + -1. Let p(o) be the third derivative of 1\/180*o**5 + 0*o**4 + 2*o**2 + 1\/630*o**7 + 0 + 0*o + 0*o**3 - k*o**6. Factor p(w).\nAnswer: w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 196605.2 and -0.05157009?\nAnswer: 196605.25157009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*l - 2263 = 181*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v - 36*v - 65 = -73*v + 39 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95, -189, -281, -371?\n\"Answer: l**2 - 97*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56528864 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 648 divided by -27\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.67835 micrograms?\nAnswer: 0.00000067835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10\/c**(-1\/5) assuming c is positive.\nAnswer: c**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -253*q**3 - 9*q**2 + 2*q - 12. Let z(m) = -253*m**3 - 8*m**2 + m - 9. Let j(g) = 3*w(g) - 4*z(g). What is the third derivative of j(k) wrt k?\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5768 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f = 803 - 455 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13824 = 405226*m - 405418*m for m.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-14) + (-8)\/(-28). Solve 1 - 3*v - v + v**f + 5*v - 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 44) + (((-356)\/26)\/(-2) - 2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16828 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01652 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 262*o = 264*o - 8758, o + 17531 = 4*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 41626829?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 320 = 22*o. Let d = o - -48. Let y = d - -99. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 23. Let o be g(10). Differentiate 2 - 11 + u**3 - 5*u**o wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2738695\/88 - -31122. What is the common denominator of c and ((-81)\/(-42))\/((-80)\/(-420)) - 6?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gabqayqbqfaaqy. Give prob of sequence qg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11854.5 - -11854. What is the nearest to y in -0.1, 1\/3, 0.5, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {d: 7, y: 2, k: 2, g: 8}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 1323 = -3651. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 49 = -13. Suppose -23 - f = 4*v. Let a = v - -35. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 30*p - 10. What is the remainder when k(-9) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 78 (d) 3\/8 (e) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17016 in 0, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 987138277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1852 - 880. What is the hundreds digit of -2 + 7 - h\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502812 divided by 2?\nAnswer: -251406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let y(x) = -32*x - 7. Give z(y(w)).\nAnswer: 64*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(832))\/(1*sqrt(16)) + (-3*sqrt(416))\/sqrt(8) + -5)**2.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -28*q - 25. What are the prime factors of b(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599229 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -232, -337?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17\/8 - (-249)\/166) + -4. Which is the nearest to -3? (a) d (b) 462 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4864, 9728, 14592, 19456, 24320?\nAnswer: 29184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -505.0253.\nAnswer: -500.0253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 75. Let a be 45\/h*(-17)\/(-85). Solve 3*g - 3*s = -1 + 4, 4*s + 32 = -a*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8279 - 8182. Solve -r + 77 = -u - 4*i, -5*u - 15 = -3*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3756, 8\/9, -3\/4, -5 in descending order.\nAnswer: 3756, 8\/9, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, z: 4, n: 3, w: 4}. What is prob of picking 2 w, 1 q, and 1 z?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6707 - -6703. Put n, -0.1, -1257 in decreasing order.\nAnswer: -0.1, n, -1257","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -485*z**3 + 28*z**2 - z wrt z?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2*b**2 - 3*b - 67 + 2*b + 349 to the form w + u*b**2 + o*b and give w.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4560 + 2236 + 8075 + 1062*x + 4802 wrt x.\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316433?\nAnswer: 13, 101, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*r + 80 = 2*r, 3*g + 4*r = 207. Let q = 37 + -14. Suppose -4*y + q = -29. What is the highest common factor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Let f = 5 - 2. What is the second derivative of -2*x**f + k*x - x - 4*x wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 4. Let u be d(0). Let n(s) be the first derivative of s**2 + s - 8. What is n(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -4*w + 10\/51*w**3 + 29\/102*w**4 + 7 + 0*w**2 - 1\/357*w**7 + 27\/170*w**5 + 7\/255*w**6. Factor c(v).\nAnswer: -2*v*(v - 10)*(v + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-5 + 71\/3). Suppose 0 = -3*p + 3*k + 510, -15*p = -14*p - 2*k - 172. Calculate the greatest common divisor of d and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9e + 2?\nAnswer: -b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -30 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12120)\/84 + 2\/7. Let p be 2\/9 + (-256)\/v. Find the third derivative of 3*n**p + 2 - 8*n**3 - 4 + 2 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2.4.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let y be (-4)\/22 + 10\/55. Suppose y = 4*g - 12, 2*g + 4 - 14 = -w. Let s(x) = w*x - x - x. Calculate s(m(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4923*r + 961*r**2 + 4923*r + 28*r**2 to the form p*r**2 + y*r + u and give p.\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8000 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -35238535?\nAnswer: 35238538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146 - 1149. What is the smallest value in c, -7, 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/7 + 3916*i\/7 - 1196882\/7 = 0.\nAnswer: 379, 1579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2096870\nAnswer: 2\/1048435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - (-77)\/4. What is the second derivative of -2*j + s*j**3 - 21*j**3 + 13*j**3 wrt j?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7034353 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + w**3 + 630*w - 1324*w**2 + 1324*w**2.\nAnswer: 3*w**3 + 630*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24960671 is divided by 84?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246877108.\nAnswer: 2, 3, 7, 43, 101, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/24 + u**3\/6 - 7*u**2\/2 + 4. Let i(m) be the second derivative of q(m). What is i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 20. Let o be a(-20). Is 0 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 82.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - (-864)\/(-84). Let n be (-4 - 10)\/(4\/h). Let m = n - 25. Solve -5*y - m = 0, -w - w = 5*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*3\/12*(-2)\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0680554 kilograms to micrograms.\nAnswer: 68055400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 204.7, 0.1, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 647500 and 232500?\nAnswer: 60217500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(7\/2))*f*(f*(f\/(f\/f**(-1)*f)*f*f)\/f)\/f)\/(f*(f\/(f\/f**(-2\/13)))\/f)**(-3\/31) assuming f is positive.\nAnswer: f**(3615\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1\/4, 0.1, -0.4.\nAnswer: -0.4, -1\/4, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -1321, -1482, -1707?\nAnswer: -1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 431 - 367 + 637 + m**2 + 196*m + 399 - 197*m as c + p*m**2 + r*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543*m**2 - 13421*m**3 + 1543*m**2.\nAnswer: -13421*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*f - 9*f**2 + f**4 + 16 + f + 0*f + 66 + 5*f**2 wrt f.\nAnswer: 12*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376044 divided by -344011?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10755 and 143\/666.\nAnswer: 795870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 757.4678 millilitres?\nAnswer: 0.7574678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-90)*(-135)\/10. Let a(j) be the third derivative of 1\/20*j**5 + 2*j**2 - c*j**4 + 0 + 0*j + 9\/2*j**3. Factor a(y).\nAnswer: 3*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30299 and 738?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52206156 rounded to two dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100) + -3)**2 - (sqrt(1100) + 0)*-3.\nAnswer: -50*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {i: 6, c: 5, f: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 2.332?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 55 (b) 0.3 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d - 28536 + 28536. Which is bigger: d or 2\/17201?\nAnswer: 2\/17201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 119*j - 17*j - 9*j)*(1 - 2 + 4 + 2*j) as p*j + l*j**2 + y + w*j**3 and give p.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -246 - 66*j + 388 - 329. Let m be w(-3). Let q be 6\/4*(-4)\/(-3). Solve -4*f - 19 = 5*s + m, -3*f - 11 = -q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:42 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f - 44*f - 126 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 1, g: 4, n: 3}. Give prob of sequence nz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (50 - (-38 - -31)) + 24.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -441835055256?\nAnswer: 441835055257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238491?\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-10))\/((-17)\/(-85)). Let x be 8 + (-12 + j)\/3. Suppose -5*i + 2*k + 99 = -146, -3*i - x*k + 116 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262398349 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2703 and 24.\nAnswer: 64872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0 (c) 0.07 (d) -0.3 (e) 42 (f) -2\/11 (g) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3647, 7573, 11471, 15335, 19159, 22937?\n\"Answer: -x**3 - 8*x**2 + 3957*x - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 202?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 17260?\nAnswer: 51780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9 times -90?\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24696 - 24700. Sort 1, -6, v, 4, -2 in ascending order.\nAnswer: -6, v, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -78624?\nAnswer: 3931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = 3*d + 2*d, -5*t + 2*d = -30. Suppose 0 = -l + 4*i - 17, 3*i - 7 - t = l. Which is bigger: 19 or l?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 15*i + 91*i)*(4 - 2 - 3)*(3*i**2 - i**2 - i**2).\nAnswer: -78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.406807 years to centuries.\nAnswer: 0.08406807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 1, 4, 42 in descending order.\nAnswer: 42, 39, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18*(-36)\/8)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-2*sqrt(80))\/(2*(sqrt(10) - ((sqrt(250) - sqrt(10)) + sqrt(10)))))*3 + 3)*-5.\nAnswer: -15 - 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 42*n**2 + 74*n - 233. Calculate f(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + 2*u**3 + 2*u**3 + 10152*u - 10165*u - 2*u**2 - 11*u**3 in the form h*u + p + x*u**3 + z*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180740 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4931 is divided by 4121.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133377 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312708 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-27)*q*((q*q**(-2\/11))\/q)\/q*q*q)**25 assuming q is positive.\nAnswer: q**(-6925\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*s - 22, -a = -2*a - s + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = -3. Suppose k*y - 16 = y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-6))*(-34)\/(-51)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13)\/x**(-8\/5) assuming x is positive.\nAnswer: x**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175371 is divided by 3507?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 182913695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/8)*u*u*u**(-2\/3)*u*u*u**23*u*u*u**(6\/13)*u assuming u is positive.\nAnswer: u**(9101\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(28)\/sqrt(4))*1.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnmn when four letters picked without replacement from nnnxm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/3)\/((-1)\/(-18)). Let f be 668\/12 + 2\/(-3). Suppose 5*l - 3*h - f = 29, 5*l + 4*h - 63 = 0. What is the greatest common divisor of b and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002790536 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 94618461 to the nearest 10000.\nAnswer: 94620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 5*m**2 + 5*m - 6. Let u be a(-6). Let p(x) = 0*x + u*x - 2*x**2. Let f(i) = i. Calculate f(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*(-103)\/(-412))\/(21\/9*15\/(-290)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77150, 154308, 231466, 308624, 385782?\nAnswer: 462940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 838, 1271, 1704?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ddttfdfdd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 491874321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g. Let v(t) be the third derivative of t**5\/12 + 14*t**2 + 2. Determine v(z(a)).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5 - 5474*a**3 + 1231*a**2 - 174799665*a wrt a?\nAnswer: -40*a**3 - 32844*a + 2462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -0. Let s(d) = d**2 + u*d**2 - d**2. Let l(w) = -6*w**2 - 14*w - 7. Let r(h) = 5*h**2 + 12*h + 6. Let z(i) = 6*l(i) + 7*r(i). What is z(s(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-26))\/((-1)\/8654). Let f(o) = 37*o. Let z be f(-9). Let g = z + y. Which is the closest to 1? (a) g (b) -3\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 516595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -627780 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 440335 less than or equal to 440335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(3 - 3 - 2*i) + 41*i - 98*i + 22*i.\nAnswer: -37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 30*o**2 - 3*o - 15. Let l(c) = 8*c**2 + c - 2. Let m(x) = 4*l(x) - p(x). Suppose -b = 4*b + 15. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, j: 4}. What is prob of picking 2 m and 2 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 8*f - 56. Suppose -445 = 69*s - 4*s + 270. Calculate w(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 3*u**3 + u**2 - 16*u**4 + 17*u**4 to w*u + b*u**2 + d + z*u**3 + n*u**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0579*8114.\nAnswer: 469.8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102178201 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9084 and 45\/128.\nAnswer: 290688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331514 is divided by 671.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*w**2 + 2 + 167*w**2 - 7*w + 0 - w**3 - 83*w**2 as x*w**2 + i*w**3 + u + h*w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566.1 - 564.7. What is the nearest to 1 in 11, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-752)\/282)\/(1\/(-453))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -71\/5. Which is the closest to -0.1? (a) g (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 30. Let o be (-337)\/(-3) + 2 + (-7)\/i. What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.042 and 3.4?\nAnswer: 95.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**2 + 32729034 - 23*f**2 + 45*f**2 - 32729034.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30. Sort 9, 2, m.\nAnswer: m, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 1413*m**2\/2 - 2835*m\/2 - 1419\/2.\nAnswer: 3*(m - 473)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2278*q + 191413. Determine l(84).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {i: 1, c: 5, v: 1, p: 7, k: 1, t: 4}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438976*f*o**2 + 2*f*o - 111724406*f - 121*o**2 wrt o.\nAnswer: 877952*f - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13341327 is divided by 1245?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + b**2 + 2*b**2 - 4*b**2 - b**2 + 4*b**2 + (-1 - 2*b + 1)*(-5*b + 3*b + b) + 2*b**2 - 3*b**2 - b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -14*k + 225. Which is smaller: k or 21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:08 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(176))*6)**2 - (-2*sqrt(176) + -2 - ((sqrt(176) - (sqrt(176) + 0 - sqrt(176)))*-4)**2).\nAnswer: 8*sqrt(11) + 230914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*i**3 + 435*i**3 - 153*i**3 - 142*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-15))\/(165\/(-1650)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/404 - -407\/1212. Is -5 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4392 and -101\/252?\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + (-11 + 20 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51469603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 46*w - 54. Let y be v(28). Calculate the greatest common factor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1127 + -1125 + -2 + 1 + 39\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 8171.6 and 1722.\nAnswer: 9893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*w = -19, 0 = -3*h + 2*h + 2*w + 4. Let n(a) = a**3 + 7*a**2 - 2*a + 5. Is n(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssffssssssusfssssffu. What is prob of sequence uu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 142\nAnswer: -45\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1270202 - 8?\nAnswer: -1270210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 times -6070\nAnswer: 127470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31037\/6 or -62?\nAnswer: 31037\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**2 + 599\/3 - 598\/3*a.\nAnswer: -(a - 1)*(a + 599)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5 + 855*c**4 + 64734*c**3 + 348024*c**2 - 25968384*c - 52824576 = 0.\nAnswer: -136, -28, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 - 8618*o + 43040 = 0. Calculate o.\nAnswer: 5, 4304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**4 + 17*h**4 - 11*h**4 + (3*h**2 - 3*h**2 + 2*h**2)*(4*h**2 - 2*h**2 + 0*h**2) - 3 + h**4 + 3 to q*h + w*h**4 + n*h**2 + d + t*h**3 and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 130 = -5*k, 196 = -5*p + 3*k - k. Let m be 3\/1*(p\/(-12) - 2). Suppose -138 = -m*r - 2*r. Solve -2*a + 7 = -t - 0*a, -3*t - 5*a + r = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/12 + g**2. Let j(s) be the first derivative of s**2 + 52*s + 8672. Calculate j(u(p)).\nAnswer: 4*p + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(1\/6)*y)\/y*y*y**12*y)\/(y**11\/(y*y**11)))**(1\/62) assuming y is positive.\nAnswer: y**(97\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/27*3\/(-2). Let g(o) = 5 + 2*o**2 - 4*o**2 - 3 + 3*o. Determine g(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210521 divided by -857?\nAnswer: -210521\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, w: 1, x: 1, h: 3}. What is prob of picking 1 w and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -10, 0, -10\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 289*x - 1158. Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -21 + 4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/76 - -879\/1900. What is the nearest to -2\/5 in 0.4, -3\/8, n, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2577 + 2582. Let h = 0.1 - 0.3. Let x = 0.38 - -0.02. Which is the smallest value? (a) u (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 - 4*s + 5. Give u(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -125067 divided by 4528\nAnswer: -125067\/4528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 4 (c) -56174.4 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g**(2\/27))\/((g\/(g*g**8*g))\/g*g**5\/g)*(g\/(g*(g*g*g\/((g*g**0*g)\/g))\/g*g))**(6\/13)*((g**(5\/3)\/g)\/g)\/g**(-7) assuming g is positive.\nAnswer: g**(28334\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 66b9?\nAnswer: 66bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2335 - -2342. Put v, 5, -1 in descending order.\nAnswer: v, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -281*n**3\/6 - n**2 + 2*n + 7. What is the units digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1356, -5616, -12662, -22452, -34944, -50096, -67866?\n\"Answer: 7*q**3 - 1435*q**2 - 4*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/5*150\/18. Suppose -22 - d = -2*a. Find x, given that -3*x**4 - 16*x - 12*x**2 + 2*x**4 + 4*x**4 + a + x**4 + 8*x**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2758 and 0.3.\nAnswer: -827.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 856856006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - 112\/(-21). Suppose r*k = 8*k - 62. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n - n)*(-197*n**2 - 159*n**2 + 453*n**2 + (-2*n + 0*n + 0*n)*(-2*n - 2*n + 6*n)) to the form j*n**2 + x + y*n + f*n**3 and give f.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*c = 988, -c = 5*t - 4*c - 4884. Suppose -6*q + 0*q = -t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144631056 to the nearest one hundred thousand.\nAnswer: 144600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qnqqqnqnqqnqqqqnqq.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31015, 249630, 842991, 1998472, 3903447, 6745290, 10711375?\nAnswer: 15989076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12599956 is divided by 1171.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13271\/24 - -553. Let u(k) be the third derivative of 0*k + 0 + r*k**4 - 5\/6*k**3 - 4*k**2. Calculate u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85027 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 27214\nAnswer: -653136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -76516190 less than 783?\nAnswer: 76516973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from qvfsh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25425602 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 33*s**3 - s**2 + 4*s + 4. Give i(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(4\/11)*y*y**(2\/17)*(y\/(y*y**(1\/4)))\/((y**(-8)\/y)\/y) assuming y is positive.\nAnswer: y**(9353\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -4)*(-22)\/(-198)*-6. Let f be 0\/((-1 - 0)\/1). Is m not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81324 and 648?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6 - 11*s + 4*s**3 - s**3 - 2*s**3 + 8*s**2 - 5. Let c be y(-9). Solve 2*z = c*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62*w - 70*w + 139*w)*(4*w + 0*w - 3*w)*(w - 12*w + 0*w) to the form b*w**3 + f*w + a*w**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 10*d + 12. Let m be y(9). Suppose -5*n - 5*k = -m*k - 21, 0 = 2*n + 4*k - 18. Solve 0 + 2\/3*r**2 - 4\/3*r + 2\/3*r**n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 2. What is the units digit of t + 2 + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/14345760 and -149\/30.\nAnswer: 14345760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*sqrt(22)\/(sqrt(2) + sqrt(12)\/sqrt(6)).\nAnswer: -5*sqrt(11)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19134457 - -0.03660441?\nAnswer: -19134456.96339559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**3 - 5*v - 6. Let d(g) = -3*g**3 - g - 1. Let c(j) = 11*d(j) - 2*f(j). What is c(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - 14*d**2 + 28*d - 158. Calculate w(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*w - 6, 0 = -5*k - 4*w - 3 + 2. What is the closest to k in 2\/5, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 6}. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 32*m + 229. Let p be w(-7). Solve 14 = -2*s + 5*l, -s = -0*s - p*l + 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 152. Let i(n) be the first derivative of n**2 + 51*n + 43. Let g(k) = 11*i(k) - 4*q(k). Let s be g(8). Solve -5*r + 11 = s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*l + 528*l + x + 10 = 0, -50 = -4*l - 3*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7 + 3. What is the second derivative of -y + 3*y**2 - 3*y**2 - 4*y - u*y**4 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + (-11 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q - 346. Let o(f) = -f + 7528. Give o(r(i)).\nAnswer: i**2 + i + 7874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*30\/(-75)*-5*(-5)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 46 = 5*w + 2*q, 0 = w + 3*q - 17. Calculate the highest common divisor of 240 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 31*m**2 - 93*m + 58. Suppose v + 5*u - 43 = 0, 2*v + 2*v - 80 = 3*u. Let c = v - 16. Calculate the smallest common multiple of c and p(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 1\/2 - 27*d**3 - 27\/2*d**2 = 0. Calculate d.\nAnswer: -1\/3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645 (base 11) to base 6.\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q**3 - 16*q**3 + 3*q + 9*q**4 + 2*q**3 - 188 + 192 in the form i*q**2 + c*q**3 + v + w*q + j*q**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*t**2 - 14543888*t - 5817552.\nAnswer: -4*(t + 727194)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(6\/11)*b)*b\/b**(1\/2)*(b**1)**37 assuming b is positive.\nAnswer: b**(813\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4 + -3 - -1163. Let i(p) = -548*p + d*p - 582*p. Let t(k) = 6*k. Let s(c) = -2*c. Let j(b) = -14*s(b) - 5*t(b). Determine j(i(m)).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) 3 (b) 5 (c) -0.060708 (d) -0.5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120534313.\nAnswer: 383, 314711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.143402 and -13.\nAnswer: -12.856598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 32826*x**2\/5 + 14313728*x\/5.\nAnswer: x*(x - 32384)*(x - 442)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(175)*1 + 5 + (-4*(sqrt(175) - -5*((sqrt(175) + -1 - sqrt(175)) + sqrt(175))))**2)*3.\nAnswer: -14385*sqrt(7) + 303612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-56) - 222\/(-105). Let t = 53\/20 - x. Factor t*z**4 + 1\/4*z**3 + 0 - 1\/4*z**2 + 0*z - 1\/4*z**5.\nAnswer: -z**2*(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 15, s: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29295310 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.26 (b) -1\/28 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, -3 in decreasing order.\nAnswer: -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227 * 28.\nAnswer: 6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*b**2 - 6*b - 112*b**2 + 57*b**2)*(6*b**2 - 66*b + 66*b) in the form p*b**4 + c + n*b**3 + y*b + h*b**2 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 173 + (0 - (-9 + 2) - 4). Let u = v - 156. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -224, 453\/13, -7\/4 in ascending order.\nAnswer: -224, -7\/4, -1\/5, 453\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862*y = -858*y - 5*a + 11, -2*y = -4*a + 16. Solve 39*f - 35*f + 2 = 5*c, y = 3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let h(c) = 102*c**2 - 358. What is h(a(j))?\nAnswer: 102*j**2 - 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9893, 19787, 29681, 39575, 49469?\n\"Answer: 9894*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from rxcbbxtrbbra?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 5. Suppose -9*y = 5*b - 4*y - 10, 0 = -2*b - y + 4. Calculate the remainder when p(-9) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 8*n - 169. Calculate the greatest common factor of n and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783030 divided by -30.\nAnswer: -26101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/288 and -79\/1200.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, -19, -54, 5 in descending order.\nAnswer: 5, -6, -7, -19, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 15627.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-165)\/(-99)*6\/5. Are k and 8\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 - 7*n - 2. Let b be m(4). Let w be b\/(-4) - (-130)\/140. Sort 4, -1, w in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28912142 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/441*7*3. Which is the second biggest value? (a) n (b) 0.3 (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 2*q + 0*q)*(-2*q - 20*q - 2*q) + (-4*q + 3*q - 2*q)*(4*q - q - q) to l*q + r*q**2 + s and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-3)*9\/(-4). Suppose 0 = r - 0 - f. List the prime factors of (-1 + 0)\/(r\/(-96)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = 3*n, 14*l = 9*l - 5*n + 30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -13, -20, -27?\n\"Answer: -7*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4\/9 (b) 606 (c) -35484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)\/(-2) - -139. Let g = l + -93. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = 2*s, 202*k = 204*k + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1 (c) 0.4 (d) 1.1 (e) 3 (f) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - 4*r - 89, -2*x + 81 = 5*r. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163894 and 256310.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 85 (b) 0.6 (c) 32\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1117052070?\nAnswer: 1117052071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*z + 6)*(-24 - 19*z**3 + 29 - 1).\nAnswer: -95*z**4 + 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131905494?\nAnswer: 2, 3, 7, 233, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43753 is divided by 1575.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(5 + sqrt(2) - sqrt(2)))**2 + -1.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2, -5730 in ascending order.\nAnswer: -5730, -2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5926 + 1?\nAnswer: -5925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-2 + 0)*(-73)\/(-219). Which is greater: 42\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 16) to base 14\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 119.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493.4 - 493. Which is the third smallest value? (a) -5 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/132 and 35\/5136.\nAnswer: 56496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + i = 15, -2*i = 221*o - 216*o - 60 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 206299.\nAnswer: 825196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 155. Find the first derivative of -g*h - 29 + 639*h**2 - 630*h**2 + 2*h - h**3 wrt h.\nAnswer: -3*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n + 2. What is f(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9a7262 (base 14) to base 13\nAnswer: -111801a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 38*j - 33*j - 3*b, -8*j = -4*b + 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + -30. Let d = b + 71. Suppose -5*y = 3*p - 29 - 17, d*p = 3*y + 18. Which is greater: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020103 (base 10) to base 4.\nAnswer: 13231030013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 661866553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-121 - 64 + 61)*(-3 - 1 + 0).\nAnswer: 496*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 47. Which is the nearest to z? (a) 0.1 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -p. Let a(n) = -8*n**4 + 33. Let c(f) = -12*f**4 + 49. Let r(x) = p*a(x) - 5*c(x). Find the first derivative of r(b) wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18863?\nAnswer: 13, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + m**2)*(1 - 1 + 2*m + (2 - 4 + 4)*(-3*m - 1 + 1))*(-m + 5*m - 6*m).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000174 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/30*10\/6. Let l(u) = -15*u**2 - u - 7. Let i be l(-2). Let n = i - -66. Which is the closest to n? (a) -2\/9 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*j = -4*o + 12, 0 = -j. Solve -o*r + 1 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 82 + 24 = 0. Let l = b - 21. Suppose 8*n - 3*n + p - l = 0, -4*p - 52 = -5*n. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3359200*t*v - 5299262*v wrt t?\nAnswer: 3359200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4412 - 4410. Determine p, given that -120\/7*p**j - 250\/7*p**4 + 300\/7*p**3 + 16\/7*p + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h - 19. Let r be j(0). Let c = -134\/7 - r. Put -2\/9, 0.2, c in decreasing order.\nAnswer: 0.2, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.1459um to meters.\nAnswer: 0.0000511459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20032962.\nAnswer: 2, 3, 137, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -12. Let p(x) = -x**3 + 7*x**2 - 5*x - 3. Calculate the remainder when p(r) is divided by 2\/3 + 7\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080\/(-48)*128\/480.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1, -6, 8 in ascending order.\nAnswer: -6, 1, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33200 - -11141?\nAnswer: 44341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49\/2 - 26. Let x(r) = r + 1. Let p be x(-1). Suppose -4*g - 2*w + 4*w = p, 2*w = -4. Is g smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/6 - -2 - (0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 65\/304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4) - (-24503054587)\/2530. Let y = f + -9685062. Let l = -308\/5 - y. Which is the second biggest value? (a) -2\/7 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103123059.\nAnswer: 3, 13, 2644181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) -2 (b) 85 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*z + 43 - 43.\nAnswer: 188*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10472807 and 694?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*f**2 + 2802 - 2802)*(4*f**3 - 4*f**3 - f**3) - 4*f**5 + 2*f**5 + 4*f**5 + (3*f - 2*f - 2*f)*(-f + f - f**4).\nAnswer: -99*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -57. Let h(v) be the third derivative of 0*v**4 - v**q + 0*v**3 - 1\/12*v**5 + 0*v + 0. Let f(c) = 2*c**2. Give f(h(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (136\/16)\/(0 - (-2)\/4). Let j = s - 24. Let n = 10 + j. Solve 8 + 13 = 3*q + 4*d, 4*q - n*d - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 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: Suppose -3*s + q + 3555 = 0, 5*s + 4*q - 8*q = 5918. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 2*o**2 + 3*o + 4. Let b be v(3). Suppose 25*p = -4038 - 33612. Let k = p - -1511. Solve -b*y + 7 = -k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {l: 3, n: 2, q: 1, i: 1, g: 2, p: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.2694, 1.2, -9\/8 in descending order.\nAnswer: 1.2, 0.2694, -0.9, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/11)*((x\/((x**0*x)\/x))\/x)\/x)**18 assuming x is positive.\nAnswer: x**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (4 + (-78)\/(-12)). Which is bigger: n or -11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qzzzzzzzzzq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 32 + 62)*(b - 2 + 2) to j*b + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -4*g, 0 = 4*g + 1 - 5. Let o(q) = -2*q**3 - 4*q**2 - 6*q - 8. Calculate the remainder when 82 is divided by o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -3)\/((-2)\/(-2)). Let v be 4\/((-4)\/o) + 0. What is the second derivative of v*r**3 + r - 52 + 52 wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 89 = -k, 2*r + r + 5*k = 151. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166718?\nAnswer: 2, 1583359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2737 (b) 7 (c) 0 (d) 0.4 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l**3 + 8401*l**2 - 14351*l**2 + 5950*l**2.\nAnswer: -98*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/62 + -479\/186. Which is the fourth biggest value? (a) -2 (b) -1 (c) -0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 317084225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzfnqfnufnfn. Give prob of picking 1 n, 1 u, and 1 z.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.842857kg?\nAnswer: 7842857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004315 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 + 15*m - m - 175 - 14*m in the form j*m + p + d*m**2 and give p.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20450 + 20442.4844. Let h = -7.5 - i. Round h to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**6*m*m**(-28)\/m)**(-4\/15) assuming m is positive.\nAnswer: m**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 26. Let d(p) = 55*p**2 + 8. Determine d(i(t)).\nAnswer: 55*t**4 + 2860*t**2 + 37188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270164 divided by -4?\nAnswer: -1067541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355831385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6472848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**(-2\/131)*s**(-23)*((s**(-1\/6)\/s)\/s)\/s*s*s**(10\/9)*s assuming s is positive.\nAnswer: s**(-49613\/2358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34411452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*h**2 - 9*h**4 + 275*h - 275*h wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.6. Let g = -0.2 + h. Let n be (-363)\/78 - 7\/(364\/(-8)). What is the nearest to -2 in -1\/2, n, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.1. Let y = u - -0.2. Suppose -239 + 134 = 21*s. Which is the closest to 0? (a) s (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -40280*c - 120829. Give i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439\/8 + -57. Let u = 23\/153 - -5\/17. Find the common denominator of r and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (-4*(sqrt(1584) + -1 + -4))**2*-6 + 4).\nAnswer: -34560*sqrt(11) + 463386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320 (base 10) to base 3.\nAnswer: 1210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9726 + -9689. What is the remainder when 1626 is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28812068 bigger than -28812068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6517489 (base 10) to base 16\nAnswer: 6372f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 89 = 23*w + 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/175 and -6\/3160525.\nAnswer: 22123675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*v + 40, v - 5*w + 31 = 2*v. Let t(j) = -v - j - 4*j - 9*j + 0*j. Let k(y) = -5*y - 4. Give 8*k(h) - 3*t(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 + 103. Let k = g - -231. Let q = 100.192 - k. Round q to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 257*s + 404?\nAnswer: 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*c + 53*c + 119*c + 82*c - 433*c + 161*c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-66)*1*4\/(-44)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 2. Let d(k) = -k**3 + 1. Determine -3*d(x) + y(x).\nAnswer: 3*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 10*y - 25. Let v be w(12). Which is the third smallest value? (a) v (b) -0.2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(-14*36\/378)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/10, -0.4, 3\/2, 16\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or -102?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - -5 - (-16 - -2). Let f(d) = d**2 - 6*d + 9. Let t be f(u). Suppose -5*i = 4*v - 252, 5*i + 2*v - t = 3*i. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 283*r - 14. Let y(v) = 425*v - 22. Calculate 8*n(j) - 5*y(j).\nAnswer: 139*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 4*c - 5*c)*(-2 + 6 - 2) + (0 + 5 - 3)*(-31*c - 38*c - 26*c) + (-4*c - 3*c - c)*(-2 + 0 + 0) to a*c + m and give a.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x**2 + 2*x + 1. Suppose 13*j - 8*j = -10. Let i be m(j). Let u(r) = -12*r + 6. Let o(q) = 1. Let f(s) = -5*o(s) + u(s). Determine f(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239.4 - 251. Let v = -12.1 - p. Put 4, v, 4\/7 in decreasing order.\nAnswer: 4, 4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 694856*t**2 - 694856*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - 35*h**3\/3 + 4*h**2 + h + 764. Find the second derivative of l(t) wrt t.\nAnswer: -6*t - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4\/3 (c) 3\/2 (d) -156 (e) 5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = -68*i - 736 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3544, -8633, -17116, -28993, -44264, -62929, -84988?\nAnswer: -110441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8885643.\nAnswer: 3, 13, 41, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1950)\/35 + (-4)\/14. Let j be ((-82)\/2)\/(3\/(-9)). Let a = c + j. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 500, 496, 492, 488?\n\"Answer: -4*z + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 29347069232?\nAnswer: -29347069232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122002002111 (base 3) to base 9.\nAnswer: 1562074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/(1*(-9)\/36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/(-25)*50\/4. Let j(f) = -1 - 119*f - r*f + 101*f. Let i(b) = -2*b. Calculate j(i(h)).\nAnswer: 136*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 949537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = w, -3*f - 35 - 30 = -5*w - 65 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 68500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 a, and 1 u when four letters picked without replacement from {u: 3, z: 7, p: 1, r: 1, a: 2}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274317?\nAnswer: 3, 61, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 1) + (85 - (-25 + 94))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 47*g + 49*g + 185858, 0 = 5*f - 4*g - 185846. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -k + 5*k, -2*k - 36 - 52 = 6*n + 10*n - 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 5\/9 (c) 3 (d) 3\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*f = 1, -9*q + 14*q = -5*f - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.201 - -208.201. Let o = 208.5 - m. What is the closest to 0 in 0.4, o, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3969, -3961, -3937, -3891, -3817, -3709?\n\"Answer: b**3 + 2*b**2 - 5*b - 3967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3792 (base 13) in base 3?\nAnswer: -101211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515433 is divided by 224.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 5*a + 18033 = 10*n, -5*a = 5*n - 22440. Calculate the remainder when n is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.83 and 5.\nAnswer: 9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9184, -14865, -24334, -37591, -54636, -75469, -100090?\nAnswer: -128499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 2 - 25 + 10)*(3*i - 14*i + 112*i).\nAnswer: -4141*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51 + -9 + 20 + -25 + 7\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/495*11*10\/3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -8. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2468761 rounded to the nearest 1000?\nAnswer: -2469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(204)*1)\/(sqrt(576)\/sqrt(3)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (2 + 1 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54796 divided by -5\nAnswer: -54796\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/2 - (-1 + -1). Let v be 2*1019\/(-16)*q. Let b = v + -256. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 8595?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/26 and 65\/101523.\nAnswer: 2639598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31714375 divided by -125?\nAnswer: 253715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/46 + 14\/(-161).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 22*b**2 + 39*b + 175. Is x(22) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*r - 19. Solve -r*w + 10 = -2*q, -q + 2*q - 15 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 38*z**3 + z + 36*z**3 in the form u + g*z + o*z**2 + p*z**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626 - 1114 = -15*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) + -1)**2*1 + sqrt(77)\/(sqrt(28)\/sqrt(4)) + 4).\nAnswer: -5*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2914705086 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = -i, -3*i = -i - q - 11. Let c be ((-6)\/(-9))\/(i\/18). Suppose 2*v + c*p - 108 = -v, -p + 5 = 0. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -2 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 205 + 170. Is 1\/5 + 23910\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 3*t + 8 - t + 5 - 5 + 5*t + 2*t - 2*t + (-3 - 2 + 2)*(-3*t - t + t) - 2*t + 0*t + 4*t to x*t + a and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-27)\/4))\/(2\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -86. Let y = a + 22. Suppose -4*p + 2*p + 10 = 2*k, -4*k - 3*p = -21. Calculate the greatest common factor of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + 8*r)*(11*r**2 - 5*r**2 - 3*r**2).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000110110 + 1000?\nAnswer: 101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 85. Let k(u) be the third derivative of u**6\/120 + u**5\/60 + u**4\/24 - 2*u**2. Let f(c) = -6*c**3 - 6*c**2 - 5*c + 2. What is a*f(o) + 5*k(o)?\nAnswer: -o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 69*k - 146*k + 73*k. Let s(n) = 4*n**2. Calculate s(t(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453333809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, j: 1}. Give prob of sequence jy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7112 and 3119120?\nAnswer: 21833840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**2\/7 - 725212*u\/7 + 34534 = 0.\nAnswer: -120869, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1187094 and 279204?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110101 - 10000010000000100101?\nAnswer: -10000001110110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 3*w**2 + 1085560*w - 59683*w - 2*w**2.\nAnswer: w**2 + 1025877*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -8. Let a be (-3 - -3)*1 + o. What is the units digit of (a - (-3)\/3)\/((-1)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100713 to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*s - 33 = -244*s - 5*x, -5*x = -6*s - 37 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94875030 equal to 94875031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38681.\nAnswer: 47, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -604 - -1394. Suppose -3*t + 787 = 5*m, a = -0*t + 3*t + 2*m. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g - 1 - g - 2*g. Let x(d) be the second derivative of -d**4\/12 - 18*d - 110. What is f(x(o))?\nAnswer: 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w + 3. Let z be j(-2). Let d = z + 26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/12 + 985*i**2\/12 + 242063*i\/12 - 243049\/12.\nAnswer: (i - 1)*(i + 493)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32471409 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -1)*89\/2. Suppose -6 = 4*n - 18. Suppose 0 = -n*v - 0*v + p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2770 + -2?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -44. Let b = -10 + v. Let z be (-9)\/(-20) + (-1)\/4. Put 3, b, z in descending order.\nAnswer: b, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3))**17)**(5\/12)\/(((b*(b**(3\/7)*b)\/b*b)\/b*b)\/b**(-1\/7)*(b\/((b\/b**1*b)\/b)*b*b)**5) assuming b is positive.\nAnswer: b**(-1619\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:14 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 + 1 + 3*u**2. Let z(j) = 12*j - 168. Let p(n) = -n + 16. Let g(q) = 21*p(q) + 2*z(q). What is x(g(m))?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -812766*y. Let k(q) = -2*q. Calculate k(m(u)).\nAnswer: 1625532*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -69. What is the closest to 1 in 0.2, g, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (10 + -2 - (16 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((138 - 133) + (0 - 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*c - 2*q = -8*c + 259, -2*c + 1448*q = 1450*q - 30 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e423 + -28e?\nAnswer: 5e184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 946 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*z - 12085, -3010 = -z + 11*t - 7*t. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x**3 - 50*x**2 + 3*x**3 - x**3 - 144*x - 6*x**3 - 10*x**2 = 0 for x.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10433214 - -2?\nAnswer: -10433212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 15 (c) -24.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Let o(f) = -f**3 + 9*f**2 - 4*f - 9. List the prime factors of o(i).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1592912, -3185829, -4778746?\nAnswer: -6371663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**6\/21 - 4*w**5\/7 - 18*w**4\/7 - 36*w**3\/7 - 27*w**2\/7 + 25. Let j(m) = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.283 + -0.717. What is the closest to 0 in 0.5, a, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 32 + 28. Let u be (p\/(-14))\/(18\/(-63)). Suppose u*q = -q - 8, 0 = 4*h - q - 762. Calculate the greatest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + (-2 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, b: 5, f: 4}. What is prob of picking 3 f and 1 b?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2446 and 2447 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*n + 998, -1140 - 224 = -4*n + 4*q. Let r = 371 - n. What is the remainder when 207 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2386*r + 395*r = 8485 + 24887 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 13*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*r = -6*r + 17, 5*b - 2*r = 33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 13, q: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/160)\/(6\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -337, -737, -1287, -1981, -2813, -3777, -4867?\nAnswer: -6077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98892008?\nAnswer: 2, 557, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5 = u - 97, -2*u = 4. What is the greatest common divisor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -3.6, -0.09, -4\/3, -1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 13) to base 7\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 20 + 36 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 * 0.0375\nAnswer: 0.0023625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + 94 - (11 + -9) - -25 - (1 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 1, -4, -6 in increasing order.\nAnswer: -6, -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/42 - 2*m**3\/21 + 15*m**2\/7 + m - 12. Let s(f) = 0. What is f?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111\/7 in -5, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*l = 2*d - 12, -4*l = 2*d + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81182420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k**(-11))**(-15)*(k*k*k*k**(2\/7)*k)**(-4\/23)*k**(2\/7)*k**6 assuming k is positive.\nAnswer: k**(15382\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 66*m**3 - m**3 + 2 + 8*m**2 - 10*m**2.\nAnswer: 65*m**3 + 8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323 - -221131323121?\nAnswer: 221131330110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 2 (b) 65 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16709 = -3*i - 581. Let p be (1250\/(-3))\/((-7)\/i). Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -112. Let d = o - -209. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2*w + 2. Let x be s(-2). Suppose x - 16 = 5*t, 4*t = a - 120. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2427935 = 141*p - 2413976 for p.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeeefeppfeeefpf. Give prob of picking 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/2)\/((-12663)\/(-25326))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890 + 441 + 447 - 3*q**2.\nAnswer: -3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4724, -9343, -13962, -18581, -23200?\n\"Answer: -4619*z - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6350, -6361, -6374, -6383, -6382, -6365, -6326?\nAnswer: -6259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 - 2*x + 12. Let p be n(6). Do p and 2\/75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 695\/468?\nAnswer: 695\/468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: d5b4 (base 14) to base 13\nAnswer: 139a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5208 - -5210. Let a(l) be the first derivative of 1\/12*l**3 - 11 - 5\/8*l**x + 3\/2*l. Solve a(s) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 33373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65270760 is divided by 2621?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -6, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5417 is divided by 1480.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 5*z - 480, -456 = -2*d - z. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -271. What is the greatest common divisor of j and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511031 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1132 + -665. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177898 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43880713, -43880712, -43880711, -43880710, -43880709?\n\"Answer: h - 43880714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -97153.\nAnswer: 4\/97153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 3780.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t - 45*t = 660. What is the lowest common multiple of 183 and t?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 8. Let d be k(-6). Let a be d + -7 + 6 - (-5 - 0). Let p be (2\/(-3))\/(a\/(-135)). Solve 4*x - 3 = -0*x - 3*i, p = 3*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What is next in -208, -404, -598, -790?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.7 - 1.7. Let d = -12.5 + s. Let n = 683\/4 - 172. Sort d, n, 5.\nAnswer: n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243105 - 66?\nAnswer: -243204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 - (-18 + 29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2660613?\nAnswer: 3, 41, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 11*m - 11. Calculate h(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19150 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 20 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -0*x - 5*x, x = 5*h - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 4*f)*(3 + 3 - 4) + 5*f - 3 + 1 - 5.\nAnswer: 9*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6924 = -6900. Solve -27 = -b*i - 39 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*q = 5, 0*p - p - q = -3. Let y = 28.8 - 29. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48087?\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 194 = -3*c, 2*g - 3*c - 74 = 0. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 63 - 27. Let g be 1*0\/(u\/(-3)). Determine v so that 2\/7*v - 4\/7*v**2 + 2\/7*v**3 + g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + 2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100))**2 + (-3*sqrt(33)\/sqrt(3))**2.\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015434031415 to 4 dps.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 3*n - 5. What is m(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a6a - 0?\nAnswer: -2a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 11:28 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c - 25. Let n(x) = 4*x + 9. Let b(f) = 3*l(f) + 8*n(f). Let w(s) = 2*s - 1 - 2 + 7. Suppose 0 = -69*i + 16 + 260. Give i*b(q) + 3*w(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 420 = q + q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 + 43 = 0. Let c = x + -16. Suppose -4*o - 3 = -c. Solve 12 = o*r + 2*k, -2*r + 2 = -2*k - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 9 = -5*u, 0 = -2*u + 3*v + 9. Let y be (-3 + 6)\/(u\/(-14)). Suppose -y*b + 19*b - 110 = 0. Calculate the remainder when b is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5037 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 19 = -89 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 1, f: 2, t: 5, c: 2, o: 2}. Give prob of picking 2 t and 2 o.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/378*(-8)\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*s - 2)*(6*s - s - 2*s) + 103*s - 103*s + 30*s**2 + (0 + 2 + 0)*(-3*s**2 + 5*s**2 - 3*s**2) + 2*s**2 + s**2 - 4*s**2.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 182509*w**2 + 46049*w**2 - 13*w.\nAnswer: -136460*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 + 13)*(4*z - 1 + 1).\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 4*z + 3*z**2 - 6*z - 5*z**2.\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*14.5.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -490131\nAnswer: -4\/490131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1834339 hours in weeks?\nAnswer: 0.1201394875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 293720817 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + y**2 + 0*y**2 + y**2 + 3*y in the form k*y**2 + a*y + f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53764703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -35505 greater than or equal to -35492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -49000 divided by -10?\nAnswer: 4900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171753900 and 6522300.\nAnswer: 515261700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = 2*b. Suppose 6*d - 8 = b*d. Let u be 5*(d\/1 + -3). Let q(a) = a**3 - 6*a**2 + 5*a - 2. Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {v: 1, d: 2, j: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let j be 1\/q - (-39)\/4. Solve j = y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 23*d**3 - 10*d**3 - 10*d**3 - 4*d**4 - 2*d**2 - 2*d to the form b + l*d**3 + o*d**2 + h*d**4 + i*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44541 divided by -9\nAnswer: 4949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12972 and 751318.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 200, 821, 1852, 3293, 5144, 7405, 10076?\n\"Answer: 205*y**2 + 6*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + o. Let c be z(1). What is the units digit of c\/3 - 344\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 4*o + 2*o)*(3053*o - 521 + 825*o + 519) in the form x + n*o + l*o**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/155*15\/(-18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2322036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*k**2 + 307*d**3*k + 2*d**3 - 2*d**2*k - 2*d*k**2 + 12*d*k - 649*k**2 wrt k?\nAnswer: -2*d**3 - 4*d - 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8123565, -16247128, -24370691, -32494254?\n\"Answer: -8123563*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -773 + 769.51. Let v = c - -0.09. Let f = 3.8 + v. What is the closest to f in -5, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14907.89222 - 15062.894. Let m = n - -155. Round m to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*q - 2*i - 39, 0 = -5*q - 2*i + 55. Let t = -8 + q. Suppose -120 = -0*b - t*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, 0, -27, 3, -4.\nAnswer: -235, -27, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:21 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1))\/(2\/772). Suppose 166 + 582 = 4*n + 4*l, a = 4*n - 2*l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5.6. Let w = 0.6 + x. Let l = 3404 + -3402. Which is the biggest value? (a) -0.07 (b) -1 (c) l (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**5 + o**3 - 996*o + 10?\nAnswer: -140*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from gxxnvcv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 34 - 14. Suppose 5*s + 4*l + 4 = -1, 25 = -o*l. Let r = -3 + 6. Are r and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*33303\/96. Let f = g - 697\/3. Find the common denominator of f and 81\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8130162 + 16260313 + 3*m**2 - 8130152.\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:05 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 3208606?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1831 (b) -0.1 (c) -10 (d) -4 (e) 9 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/5)*t*(t**(-6)*t)\/t*(t**(-2)*t)**45 assuming t is positive.\nAnswer: t**(-257\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 4}. Give prob of sequence llll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(25) + (sqrt(200) + (sqrt(200) - -1*sqrt(200)) + sqrt(200))\/sqrt(8))\/(((sqrt(50)\/(sqrt(40)\/sqrt(4)) - sqrt(5)) + sqrt(5))*-6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100943 is divided by 2973.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66, -56, -40, -18, 10?\n\"Answer: 3*p**2 + p - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 3.181.\nAnswer: 8.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*k - 21, -3*u + k = 2*u - 13. Suppose -15 + 54 = u*z. Let g = z + -1. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8*q = 7*q. Suppose 7*i - 2*i - o - 20 = q, 5*o - 20 = -5*i. Let n(h) = -6*h + 10. Give n(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.019 - 5.019. Let i = -4.984 - q. Let s = -0.084 - i. Which is the third smallest value? (a) s (b) -2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p**3 - 34*p**2 + 24*p - 14. Let f(j) = 7*j**3 - 12*j**2 + 8*j - 5. Determine 17*f(k) - 6*o(k).\nAnswer: -k**3 - 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2455 and -0.07.\nAnswer: 2454.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v - 29. Let g(n) = -13*n - 35. Let p(y) = -5*g(y) + 6*r(y). Let j(t) = -t**2 + t - 1. What is -j(z) - p(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -2. Let t be (12\/6)\/2*0. Let g = 12 - 17. Put t, h, g in descending order.\nAnswer: h, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631127459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 8*u - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 147 = -d - 6*j - 63, 2*d = -12*d + 5*j - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (5 - 6)*5. Let t be 9\/(-42)*(-4)\/k*-4. What is the nearest to 1\/2 in t, -2\/21, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 - 3*l + 16. What are the prime factors of x(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + 113. Let x be d\/(-4) - 2\/(-4). Let y = -35 - x. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i\/i**(-4))\/i)*(i*i\/(i**(6\/7)\/i))\/i*(i**1*i*i)\/i**(-1\/17) assuming i is positive.\nAnswer: i**(143\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let b(s) = -5*s**2 - 4. Let k(i) = 4*i**2 + 5. Let u(t) = 5*b(t) + 4*k(t). Give u(m(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610714 + 277*r**2 + 610714.\nAnswer: 277*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15489790427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 654 = 3*p - 12, p = -2*c - 435. Let q be ((-6)\/(-155))\/(7 + c\/30). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 65 in decreasing order.\nAnswer: 65, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 1308*l + 1 - 2796*l + 1349*l + 4*l**4 to q + h*l**2 + o*l**3 + z*l**4 + d*l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 9*s**3 - 4*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -77*o**5\/20 + 22*o**4\/3 + 98*o + 3. Find the third derivative of g(x) wrt x.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 689586 and 319010?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11057 (base 8) to base 14.\nAnswer: -19a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a centimeter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxjjsjjjajjxsagxx. What is prob of picking 1 a, 1 x, and 1 j?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2275 - 2146?\nAnswer: -43bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 3\/2*m**3 + 3*m**2 + 1\/60*m**5 + 0*m + 7\/24*m**4 + 0. Let r(g) = -g - 18. Let o be r(-12). Calculate a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s**2 + 221175*s - 63190 = 0. What is s?\nAnswer: 2\/7, 6319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 23 = -1. Find k such that 6*k**5 - 60*k + 80*k**2 + k**5 - 3 - 40*k**3 + 19 - q*k**5 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101012110 (base 3) in base 5?\nAnswer: 14121333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and -43\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 - -15.5. Let i = u + -18. Let k = 0.07 + -3.07. What is the closest to -1 in 0.5, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-4 + -1 + 4 - (1*sqrt(19) + -2 + (sqrt(228)*3)\/sqrt(12)))**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) + (-14)\/(-3). Let y = -3 + 6. Suppose 3*a - 9 = 5*f, t*a = -y*f - f + 15. Solve f = -4*d - 8 - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from lvlvlllvllvlll.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from haaahhapazazfaaaa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-5) + (-29)\/(-232)*126.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, l: 1, n: 3, f: 2, j: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y + 6. Let r be a(-1). Let w be r*(-14)\/9*(-3 - -6). What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35172 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14\/303 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 2632?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45736651879062 and 0.6.\nAnswer: 45736651879062.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + 0.68. Let w = o + -0.54. Let d = -3 - -5. Which is the nearest to w? (a) 0 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:49 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -3)\/(-3) + 2. Suppose -5*q + 64 = z*p - p, -p = -2*q - 23. Suppose -2*s + 3*v - 5 = -s, 2*v = 5*s - p. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5558, 11175, 16792, 22409, 28026, 33643?\nAnswer: 39260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-5)\/30*3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -919.47458735 - 211?\nAnswer: -1130.47458735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111122322022 + -2?\nAnswer: 111122322020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/902 - 1*1104\/2460.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**3\/i)\/i**(-5))**(2\/13))**(-21))**(-8\/9) assuming i is positive.\nAnswer: i**(784\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/5)\/r**13 assuming r is positive.\nAnswer: r**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318.2735 and 0.22?\nAnswer: 70.02017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56579419*t**4 + t**2 + 68488*t - 1 wrt t?\nAnswer: -1357906056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/82740 and -34\/21.\nAnswer: 82740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 10, p: 2, j: 3}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 166*m - 17. Let t be x(-3). Let w be 2\/8 - 2*t\/200. What is n in 27\/5*n**3 - 3\/5*n**2 - 3\/5*n + w*n**4 + 0 = 0?\nAnswer: -1, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 207 = 8. Let r(l) = l**2 + 14*l - 50. Let s be r(-19). Suppose -s*z + 513 = -26*z. What is the remainder when d is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7520 and -77\/3760.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = -t - t, -4*b - 4*t - 8 = 0. Let p(y) be the second derivative of -5\/6*y**3 + 5*y + 0*y**2 + b. Let u(q) = -2*q**2. Determine u(p(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 213\/497*56\/9. Put 5\/6, t, -1, -1\/2, -3 in ascending order.\nAnswer: -3, -1, -1\/2, 5\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let t(c) = -53*c**2. What is s(t(k))?\nAnswer: -5618*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 6, v: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3034012630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 43783373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*s = -0*s - 26, -5*g - 3*s = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n - 140 = 0. Let q = -27 + n. Solve -q = -0*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2, -7*n + 4*k + 865133 = 865281 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u**2 + 24 + 20*u**2 - 37*u**2 to s + v*u + n*u**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/24 + 2*l**3 - 3*l**2. Let w be b(-8). Suppose -6 - w = -5*j. Solve -5*z = j*m - m + 2, 4*z + m + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-18) + 0)\/(8\/15996). Let c = k + 3803. List the prime factors of c.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 56\/341307?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 49, 112, 199, 310?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3) + -3 + 3. Let p(v) = -3*v + 2 + 9*v**2 - 6*v**2 - 6*v**o - v**2. Let c(d) = 5*d**2 + 4*d - 3. What is 2*c(y) + 3*p(y)?\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*o*t**3 - 5*o*t + 94*o - 136*t**3 + 2*t**2 - 102*t with respect to o.\nAnswer: -11*t**3 - 5*t + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.102 + -6. Let k = 0.6159 + -0.524. Let u = k - n. Round u to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let d be (g*2)\/(1*-2). What is the third derivative of -8*s + s**d - 2*s**4 + 8*s wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21102 + 21?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 74.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 8*d. Let b be c(7). Suppose -2*j + b*j - 25 = 0. Suppose -j*k - 18 = -78. 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: Simplify (r**(3\/7))**(-21)\/(r**8\/(r*r*r**1)) assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 + -13?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 1, p: 2}. Give prob of sequence nopp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/2*(-4)\/24*39. Suppose l - 25 = 4*b. Suppose -8 = -4*i - 2*p, 0 = 4*p + 2 + 6. Calculate the remainder when b is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -66.92.\nAnswer: -46.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1540 - -6695. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 3. Let l = -275 + 185. Let c be 54\/l + n*4\/(-10). Is 3\/32 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85236, 170348, 255460, 340572, 425684?\n\"Answer: 85112*f + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -9 (c) 1 (d) -944 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/2 - 1)\/(60\/160). Suppose 3*m = t*x + 950, -3*m = -0*x + 4*x - 958. List the prime factors of m.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.86 + 2.36. Which is the second smallest value? (a) 8 (b) 3\/8 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/50 and 1\/175?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 2 + 2 + (p**2 - 3*p**2 - p**2)*(-3*p**3 + p**3 + p**3).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2 and -89\/31548?\nAnswer: 31548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/11 + 8*c**2\/11 + 30*c\/11 - 36\/11 = 0?\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 + 4*j - 6. What are the prime factors of g(5)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 8*p**2 - 7*p - 11. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2048 + -1372. Let h = t + -675.99999359. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 - 2*u - 6. Let r be b(3). Let x be 232\/176 - (9\/6 + 0). What is the fourth biggest value in r, x, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3142 + 3141. Let v be 6 + 0 - (-2)\/(-2). Sort y, v, -6 in increasing order.\nAnswer: -6, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 + (-8 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327987*p**3 + 494010*p**3 - 4522*p**3.\nAnswer: 817475*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**2 - 12*z - 210. Let b(t) = -14*t + 1. Let i be b(-1). What are the prime factors of u(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Let h = 2.1 - t. Let q = -109 - -108.6. What is the closest to 2\/3 in q, h, 0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -191 + 1099. Let g = w - 908.0000917. What is g rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 3*x - 7, 26 = 4*o + 2*x. What is the least common multiple of 9 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*u - 3 - 15, -5*u + 31 = 3*x. Calculate the greatest common factor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 11. Let i be (q\/3)\/(4\/132). Let k = i + 23. Let b(h) = 11*h**3 - h**2 + 2*h - 1. Give b(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 414*h**2 - 29*h + 1. Let a(k) = -207*k**2 + 18*k - 1. What is 5*a(c) + 3*i(c)?\nAnswer: 207*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3*k + 1. Let j(q) = 2*q - 1. Let w(h) = 3*j(h) + 2*y(h). Let o(l) be the first derivative of w(l). Does 4 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79.59 and -0.157.\nAnswer: -12.49563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times 0.1?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.04, 1\/5, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*f**2 - 35*b**3 + 24*b**2*f*h**3 + 62*b*f**2*h**3 - 3*b*h**2 - 4*f*h**3 wrt b?\nAnswer: 12*b*f**2 - 210*b + 48*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318472000 divided by 77000.\nAnswer: -4136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose 2*j - 1 - 11 = b. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 419 + 679. What is the remainder when 53 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 2. Let h = 0 - 0. Suppose 2*m - 11 + 7 = h. Let j(q) = -q. Give m*j(w) + x(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 98733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:58 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/sqrt(7)*-4 - sqrt(33))\/((sqrt(36) - -2*sqrt(36))\/sqrt(12)) + (2 + sqrt(176) + (-3 + sqrt(1584) - sqrt(11))**2)*6.\nAnswer: -1121*sqrt(11)\/3 + 8052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102396 and 0.03?\nAnswer: 3071.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 530.9 + -498. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 3, e: 7, c: 2, b: 4, f: 1}. What is prob of sequence fe?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(120\/(-54) - -2). Let q(z) be the first derivative of 0*z - 4 - 1\/3*z**a + 2\/9*z**3. Factor q(f).\nAnswer: 2*f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268437133 to the power of 1\/2, to the nearest integer?\nAnswer: 16384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l + 3. Let u be 2\/2*25\/5. Does 11 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -26. Let x = -14 + n. Let y be (-2)\/1 + (0 - -123). Calculate the greatest common factor of x and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 2}. What is prob of picking 1 s and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4970?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4650 and 103\/52266?\nAnswer: 1306650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8342 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37575 and 3375?\nAnswer: 563625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 3*j**2 + 2*j - 3. Let p be (5\/(-15))\/((-4)\/144). Suppose 4*v + p = 8*v. Suppose -v*r + 9 = -0*r. Determine x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 7510567?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + p - 7 = -7 + 9, 129*f - 128*f = -2*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10.6*-0.19\nAnswer: 2.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15748681 and 5304?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzt when three letters picked without replacement from {t: 1, z: 2, w: 1, f: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 + 163. Let o be (1 + -2)*-5*1 + -1. Which is the closest to 3\/4? (a) 0.3 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14460 + 14457. Which is smaller: 1167 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/11)*h**(-12)\/h)\/(h*h*h*h**43*h*h\/(h**(-2\/17)\/h*h)) assuming h is positive.\nAnswer: h**(-11514\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - y = 17*p - 20, y = p - 24. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + 0.7. Let d = -0.5 - -2.5. Let l = 3 - d. What is the nearest to l in 4, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k - 0. Suppose n + 2034 = 4*s, 447 = -5*s - k*n + 2977. Is 21 a factor of s\/12 - 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2862, -433 in increasing order.\nAnswer: -433, -1, 2862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384 + -269. Solve 119 = 4*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 571\/3 - 191. Let a(n) = n**2 - 7*n + 10. Let g be a(5). Let z be 10*(g + 8\/20). Sort z, -0.4, y in decreasing order.\nAnswer: z, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - (57 + -54 - 50)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -168, -337, -506, -675, -844, -1013?\n\"Answer: -169*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30256 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 178 = -6*a + a, 0 = 2*a - 4*y - 68. Let b = a + -66. Let r be (-140)\/b - (-4)\/(-6). Solve -11 = r*m + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 36*y - 187. Let f be t(5). Solve 7*d = -f + 86 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.9 and -17660?\nAnswer: -280794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/65*-14*(-16)\/(-2352).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -278*z + 307*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(39)\/sqrt(3))*-1)**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9 + 91\/105. Which is the third biggest value? (a) 0.1 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -556, -14, 561, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126080 is divided by 927.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 20*h + 9. Suppose n + 2 = 2*d - 2, -5*d = 2*n - 37. Calculate the remainder when j(4) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-3436*l**2 + 1091298 - 1091298)*(-l - 2 + 2) as d*l + o + v*l**3 + i*l**2 and give v.\nAnswer: 6872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/((-1)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e62a (base 16) to base 10.\nAnswer: -124458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2250?\nAnswer: 224b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1936 + 1936 + 29*m**4)*(-3*m - m + 3*m + (4 + 0 - 1)*(4*m - 4*m - 3*m)).\nAnswer: -290*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29678 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: Let v(f) = -8*f**2 - 1. Let n be v(1). Let q be 10\/(-45) + (-73800002)\/n. Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1252 + -1261. Let m(h) = -h + 44. Let l(x) = 11. What is t*l(k) + 2*m(k)?\nAnswer: -2*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -145.327\nAnswer: 1017.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from {h: 1, v: 1, f: 1, q: 2, z: 3, y: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(2\/(-11)))\/(3\/18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 14*d**2 - 20*d**2 - 18 + 4*d**2 as g*d**2 + m + o*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgekknx. Give prob of picking 1 e and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 11) to base 6.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r - 2. Suppose 8*q = 5*q - 18. Let d(o) be the second derivative of 7*o**3\/6 + o**2\/2 - 9*o. Determine q*b(f) - 11*d(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20758938, -20758953, -20758968, -20758983?\n\"Answer: -15*d - 20758923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 13*k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/270 and -119\/46980?\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1, -3, -4 in decreasing order.\nAnswer: 1, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -9*g + 15. Suppose 2*a = -3*f + 27, 0 = 2*f - a + g*a - 23. What is the greatest common divisor of f and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-5 + (-104)\/(-20)) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7773100 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-350)\/(-45) - 4 - 4. Sort h, 5, -3\/7.\nAnswer: -3\/7, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/q**(2\/23)*(q**8\/q)\/q**(-6\/23))**(2\/11) assuming q is positive.\nAnswer: q**(-62\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 9:40 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -75. Suppose -5*k = -2*k + 3*h - 6, 2*k - 4*h - r = 0. Suppose 276 = 5*s - k*s. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 352, 429, 540, 697, 912?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/16 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) -182 (c) -2\/3 (d) 0.08 (e) -0.2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1003 + -192. List the prime factors of a.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348759?\nAnswer: 3, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -12.7. Let p = y - 0.5. Which is the closest to 0.1? (a) 4 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.2, 55, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*k + 36, 0 = -3*l - 15073*k + 15075*k - 34 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1 + 2. Let h(t) be the third derivative of 59*t**2 + 0 + 2\/3*t**3 + 0*t. Let x(q) = -q - 1. Determine v*h(j) + 3*x(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -3. Let g be a*19*5\/(-10). Let i(s) = 3*s**2 - 47*s + 10. What is the hundreds digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 13*a + 5096. What are the prime factors of a?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-60)\/25. Is -1\/21 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 6, 15, 38, 81, 150, 251?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4418*b**2 - 437*b + 2 - 1 - 4419*b**2)*(-11*b + 6*b - 13*b) to n*b**3 + j + u*b + y*b**2 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/18 - -1 - (-75)\/27. Suppose -3*k - 36 - 234 = -5*v, -t*v + 162 = 3*k. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2089 and -2089 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2160*l + 405\/2 + 780*l**3 - 175\/2*l**4 - 2295*l**2 = 0.\nAnswer: -3\/35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8521*m + 22500*m + 5503*m = -14552*m - 3947944 for m.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + -2. Let a = w - 4. Let o = -18.99999949 - a. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**4\/4 + 4*j**3\/3 - j**2 - 4*j - 3. Let o be u(3). Is o > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (908\/(-82) - 1 - (-2100)\/175)\/(0 + -3)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 3 - 5*h**2 - h**2 - 13*h**2 - 4*h**2 as q + c*h**2 + t*h and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + 2*h. Let y be o(-3). Suppose i - 71 = f, -11*f + 4*i + 324 = -15*f. Let r be 28\/6 - (6 + f\/y). Solve -r = 4*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 15*z + 36. Let r be 3*(z\/9 + 2). Let y(n) = 9*n - r*n + 2*n - 3*n. Let m(s) = -2*s. Determine y(m(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 0.06, -0.084, 6700?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.480013 to one decimal place.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 25. Is t at least -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 1, r: 2, d: 2}. Give prob of sequence ddr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210112680 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 9 + 10 + 0*d**3 - d**3 - 5*d**2. Let v be x(-4). What is the third derivative of 4*a**v - 7*a**5 - 5*a**2 - 6*a**2 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*n**6 + 1731*n**4 + n**2 + 15*n - 2158?\nAnswer: 1800*n**3 + 41544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-26 - (-9 - 11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35616 + -35264.82. Let p = -351 + d. What is the nearest to p in -1, -13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.075 in 4, 21, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 + 591694*t\/9 - 6508876\/9.\nAnswer: 2*(t - 11)*(t + 295858)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9623 + 9612. Which is the second biggest value? (a) f (b) -2 (c) -0.07 (d) 0.4 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 115. Suppose f = -3*u - 3*u. Solve 0 = -3*m - 15, m = -2*t - u*m - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7\/5))**(-3\/7)\/((b\/(b\/b**(-14\/5)))\/(b*b\/b**(-2\/25))) assuming b is positive.\nAnswer: b**(674\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2678 - -2702. Let d be 3\/18*(-3)\/(-2). Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 + 5948*p**2 - 107226*p + 482760 = 0. What is p?\nAnswer: -8940, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/840 + m**5\/42 - 13*m**4\/42 + 4*m**3\/3 - 14*m**2 - 2. Factor i(z).\nAnswer: (z - 2)**2*(z + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225\/434 + 4\/217. What is the closest to t in 5, -0.54, 0.5, 0.4?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, t: 6, b: 4}. Give prob of picking 2 t.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -934, -794, -582, -292, 82?\n\"Answer: u**3 + 30*u**2 + 43*u - 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -4*s**5\/5 - 991*s**4\/4 - 11100*s - 1654. Differentiate p(g) with respect to g.\nAnswer: -16*g**3 - 2973*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81075231*v**3 + 18351988*v**2 wrt v?\nAnswer: -486451386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 4.03.\nAnswer: -1.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from llrrqllrqlrqjllgl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 28. Suppose t + 3*g - w = 0, t - 3*t - 3*g = -81. Let q = 67 - t. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -252, -618, -1234, -2166?\nAnswer: -3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -6. Let t = j + -10. Let f = 93 + t. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -12*g + 13*g. Let y be (-8)\/(-230)*20\/g. Which is the third smallest value? (a) y (b) -1\/20 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(96\/72)\/(12\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 3. Let r be ((-1)\/2*w)\/1. Suppose -3*j = -4*f - 52, r*j - 2*f = 3*j + 20. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 32.2. Let d = -2 + 1.2. Let k = p + d. Which is the third biggest value? (a) k (b) -2\/15 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 - -288. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-19 - (6 - 12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 0*2\/4 + 12 + -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s + 49*s + 391 = 73*s + 151 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/154912 and 89\/135548.\nAnswer: 1084384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -44*l**4\/9 + 458*l**3\/9 + 812*l**2\/9 - 15002*l\/9 + 4592\/3 = 0.\nAnswer: -123\/22, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1453723, 1453724, 1453725, 1453726?\n\"Answer: x + 1453722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f = -969 - 578 + 179 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1198.83 and -2?\nAnswer: 1200.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {n: 3, x: 4, b: 2, o: 4, w: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8354044 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*g + 5*s + 5, g - 3 = 2*s. Let p be 0 + 3 - 1\/1. Let n = 2 - p. Sort g, -2, n in decreasing order.\nAnswer: n, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 7. Calculate l(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -5*d**4\/12 + 5*d**3 - 25*d**2\/2 + 8*d + 31. Let j(g) be the first derivative of b(g). Factor j(u).\nAnswer: -5*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 + 11*k**4\/12 - k**3\/3 - 5*k**2 + 2*k. Let m be r(9). Suppose -g = 116 + m. Round g to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - b - 65 = 0, l - 344987 + 345027 = -b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:05 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let m = -12.9 + 16.9. Put 7, m, l in decreasing order.\nAnswer: 7, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 + 1977975*z + 1304128366875.\nAnswer: 3*(z + 1318650)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3 - s**2\/2 - 4*s - 30. Let m be y(2). What is the second derivative of -347*z**5 + 2*z + 349*z**5 + m*z wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.12 - -7. Let y = 90.72 - 89. Let z = y + t. What is z rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -118.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 70 = 4*w. Calculate the greatest common factor of w and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + 9\/6. Let l(s) = 1 - g + s + 0. Let w(m) = 2*m**2. What is l(w(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7237, -1.11, 34 in increasing order.\nAnswer: -1.11, 4\/7237, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -34. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 958 and 5269.\nAnswer: 10538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/263264 and 41\/22949.\nAnswer: 13952992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53564 is divided by 2977.\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**3 + 0*p**3 - 2*p**3 + (3 - 4 - 2)*(3 - 2*p**3 - 3) + 3*p**3 - 4*p**3 + 4*p**3 - p**3 + 10*p**2 - 10*p**2 to k + h*p + u*p**2 + n*p**3 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2))**(-2\/15))**(-19\/4) assuming z is positive.\nAnswer: z**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 j, and 1 x when four letters picked without replacement from {g: 1, i: 1, j: 3, x: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-60)\/18 + -4. Let q be (64*(-1)\/(-5))\/(w\/(-160)). Let g = q - 177. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2. Let j(p) = -3*p**2 + 90 - 187 + 94. What is m(j(d))?\nAnswer: 36*d**4 + 72*d**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {c: 1, v: 1, a: 2, m: 4, w: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33114 divided by -5519?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/3 (b) 7\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566\/10 - (3 + 60\/(-25)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 - (6 + 5 + -5). What is the smallest common multiple of 0 + (-369)\/(-36) + 2\/j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 19*r**4\/4 + 2*r**3\/3 + 31*r**2. Let y be t(1). Let w = 96 - y. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-42)\/(-63))*20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*v - 14*v. Let i = -5.36 - -5.18. What is the fourth smallest value in v, i, -3\/2, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 3*o - 9. What is the remainder when y(5) is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let z(x) = 46*x - t*x**2 - 46*x. Let a(l) = 2*l**2. Determine a(z(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 59*x + 1303. Let u be m(-17). Which is the nearest to 21? (a) 2\/5 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 0.32?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-5610) - 366\/9333?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 9 = -31. Put 4, -24, s in descending order.\nAnswer: 4, s, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11012000121 (base 3) to base 8\nAnswer: -240731","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 30478?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(4*f - 77*f - 33*f).\nAnswer: 212*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.8 and 30400617178?\nAnswer: 30400617175.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/((-1)\/(9\/(135\/20))). Is 15 a factor of (-1 - (-9)\/r) + (-7330)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468 = -5*t + 1478. Let r(g) = 2*g**2 - 2*g - 4. Suppose 5*a + 5*s + 16 = 3*s, -4*s - 12 = 0. Let v be r(a). Solve -5*p = -t - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 8*n - 6*n + 526, 5*m + 1003*n = 1001*n + 86 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + b735?\nAnswer: b799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 12) to base 16.\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3 - 41*t**2\/6 + 13*t\/2 - 5\/3 = 0?\nAnswer: 5\/12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7567333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.407192 rounded to 3 decimal places?\nAnswer: 4.407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7845 is divided by 71?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3999.7 - -3821. Let r = 179 + v. What is the closest to 2\/5 in r, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644 divided by -569107.\nAnswer: 92\/81301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 13*g + 1. Let j = 298 - 311. Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4650 - -13946\/3. Sort -4, x, -0.1, 0.1, 6 in decreasing order.\nAnswer: 6, 0.1, -0.1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 5*t**2 + 5*t + 7. Let b(g) = 18*g**2 - 12*g**2 - 4*g**3 - g**3 + 0 + 8 + 6*g. Let x(k) = -5*b(k) + 6*p(k). Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 15396*d**4 + 15392*d**3 + 46186*d**2 - 15393*d - 30790 = 0.\nAnswer: -1, 1, 2, 15395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 592049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/30*201\/2. Let f = x + -27. Let w = 13 - 17. Which is the second smallest value? (a) w (b) f (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 - i**3\/2 + i**2 - i. Let q be g(3). Suppose 5 = q*v + 1. Solve 0 = -a - v*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 3. Let i be j\/((-9)\/6) - -5. Suppose 5*f - 2*v = i*v + 65, 0 = v - 5. What is the greatest common factor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51938 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*a - 68. Suppose -6*x - 32350 = -5*s - 9*x, s - 6452 = a*x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5104284 and 51?\nAnswer: 5104284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.8, 2\/5, 7, -15\/17?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11010100 (base 2) to base 14\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2474470, 2474471, 2474472?\n\"Answer: p + 2474469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 4 - 17*q**3 - 8*q + 34*q - 3*q**2 - q**2.\nAnswer: -17*q**3 + 26*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12036 (base 7) to base 13.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 - p + 3. Let a be t(-2). Suppose 5*m - 45 - a = 0. Solve -4*x + 2*x - 2*g = m, 15 = -x - 3*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 23*b + 22. Let t be v(-11). Let u(z) = 2*z**2 - 9*z + 2. Let a be u(t). Let o = a - -78. Is o a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(15\/21)*(1 - -4). What are the prime factors of h + 2 + -4 - -737?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.7234 and -511.\nAnswer: -503.2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91175\/18 + 5064. Calculate the common denominator of -43\/2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1870846856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 2236428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 - 151. Suppose 24*j - 222 = k. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12207 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252000 and 36150?\nAnswer: 60732000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 1. Let j(t) = -t**3 + 2*t**2 + 4. Suppose -3 = -4*d + d. Calculate d*j(m) - 2*w(m).\nAnswer: m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, z: 2}. Give prob of picking 2 f.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -4 + 6 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 77185*c + 48360600.\nAnswer: -5*(c - 16040)*(c + 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10835 + 10833. Let r(q) = q**2 + 5*q - 5. Let x(n) = -2*n + 2. Calculate p*r(c) - 5*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*3\/(-54))\/(55\/(-440)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*v - 2*v - 9, -395*q - v + v = -392*q + 15*v - 57 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*w + 100 - 38 = 37, 5*b - 3*w + 16 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*y - 90 = 3487 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.4 - 0.6. Let t = y + 53. Let i = 4.04 - 0.04. Put t, 1\/6, i in descending order.\nAnswer: i, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:28 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63\/2 + 31. Suppose 3*w = 7*w. Suppose w = -p - 0 + 3. Which is the third smallest value? (a) 1\/4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.1, 2\/77, 2\/7, 8121?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1772, 7672, 17510, 31286, 49000, 70652, 96242?\n\"Answer: 1969*i**2 - 7*i - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 116.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9972 + 9972 - 2747*j**2.\nAnswer: -2747*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -126593817 divided by 3?\nAnswer: -42197939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 (base 9) in base 7?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85781*n**2 + 85781*n**2 + 2545*n**3.\nAnswer: 2545*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/120 - m**5\/10 + m**4\/4 + 5*m**3\/6 - 8*m**2. Let j be v(5). Calculate the highest common factor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1052?\nAnswer: -1\/1052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25290382199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 3081988?\nAnswer: 12327952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 13*z + 6. Let j = 14 - 12. Let f(m) = -6*m**2 - 66*m + 30. Let u(c) = j*f(c) - 11*r(c). Is u(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9164.6022 take away -0.029054?\nAnswer: 9164.631254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2827.9997699 - -2828. What is v rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 5:26 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 35 + 8*n**2 - 97 - 7*n + 29 + 33. Let o(l) = -l**2 + l. Suppose -2*z - 6 = -34. Determine z*o(m) + 2*i(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258452.5kg to micrograms.\nAnswer: 258452500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -85, -152, -239, -346, -473?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 14708*j + 5812964. What is n(376)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 0.13583?\nAnswer: 2.17328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1\/6*i**4 + 0*i**3 + 1\/15*i**5 + 0*i + 1\/6*i**6 + 2\/35*i**7 - i**2 + 0. Solve v(z) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -73, -113, -171, -253, -365?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -55\/973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26796277, -26796276, -26796275?\n\"Answer: h - 26796278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3658800 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.09 + 0.09. Let u = 6.6 - 7. Let v = u + 0. Which is the third smallest value? (a) k (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19287 or 19453?\nAnswer: 19287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:43 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 286636 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65079.59 meters?\nAnswer: 6507959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 94102 and 94037 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 318*h**3 + h**2 + 2*h + 6. Let t(l) = -319*l**3 - l**2 - 2*l - 9. What is -3*n(q) - 2*t(q)?\nAnswer: -316*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*n = -n - 28, 5*v - n = 172. Suppose -v + 6 = -4*p. Is p less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2755863.3*-4\nAnswer: 11023453.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, k: 2, o: 4, f: 1, t: 6, e: 3}. What is prob of picking 2 k, 1 o, and 1 f?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**14\/j*j*j*j\/(j*j*j*j*j**21*j*j*j) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26234 litres in millilitres?\nAnswer: 1262.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 1) - (0 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 3) + -10 + -132)\/1. Put 0, z, 4 in descending order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1679 - 1607. Calculate the remainder when q is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/9, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 + 3 = 0. Suppose -410 = -2*k + 2*z, -k + r*z = 3*z - 201. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000989544 rounded to five dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/7 + 3114*y**3\/7 - 38286*y**2\/7 - 980370*y\/7 + 12708900\/7 = 0 for y.\nAnswer: -1569, -18, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(448) + 2 - sqrt(448)) + 2 + (3*sqrt(448) + 5)*-2)**2.\nAnswer: -192*sqrt(7) + 16134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 + 30*a - 22*a**2 + 27*a**2 + 3 - 32*a + 1 + 5*a**3 to u*a + x*a**2 + y*a**3 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*u + 2, 0*f = 2*f - 3*u. What is the remainder when 6\/(-2)*(-40)\/12 + f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/20 + 23*h**5\/90 - 8*h**4\/27 + 4*h**3\/27 - 12*h**2. Determine r so that v(r) = 0.\nAnswer: 2\/9, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.38 + -10.4879. Let k = 0.107900894 + u. What is k rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8) - sqrt(128)) + sqrt(35)*3*5)\/((sqrt(3000)*2)\/(2*(sqrt(6) + sqrt(18)\/sqrt(3)))).\nAnswer: 44*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44728905 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -455 - -318. Let q(g) = -2*g**3 + g**2 - 60*g - 257. Let f be q(-4). Let s = f + w. Is -10 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((-3)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k**2)*(-k - 3*k + 3*k) + (0 + 0 + k**2)*(-2*k + k + 3*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*x**2 - 323*r*x + 6478*r wrt x.\nAnswer: -4*r*x - 323*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/(h\/(h\/(h\/(h\/h**(-1\/13)))))*h*h))*h*h)\/(h*h**(-4\/5))*(h\/(h\/(h**(1\/5)*h)))**(-5))**(15\/2) assuming h is positive.\nAnswer: h**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/3)\/((-9)\/(-54)). Let l be 279\/39 - w\/(-65). Let m be (2\/l)\/((-312)\/(-91)). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 19*z**2 + 29*z - 34. Is y(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5 + 22*b**4\/3 - 15*b - 1. What is the third derivative of d(w) wrt w?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408050477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-6)\/(-33))\/(9\/1023))\/(2\/3267)?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7 - 7. Let i(o) be the third derivative of -o**5\/12 + 2*o**2. What is a(i(z))?\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + 2*l. Let x be v(2). Let y be -2 + (x + 0)\/2. Let z = 3 - y. Solve -4*j = 0, -i = z*j + 3 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*a - 643, -8*a + 2*q = -6*a - 326. Which is bigger: 164 or a?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42045.1 and -2963?\nAnswer: 39082.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.349402us?\nAnswer: 9349.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 1.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089752635 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10.00000019. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 19497 = -19479 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - l - 7112 = -4*x, 3*l - 11844 = -5*x. Suppose 0 = -8*t - 2*t + x. Round t to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-80)\/(-15))*-8. Let l(v) = v**3 - k*v**2 + 7 - 8 + v + 0. Calculate l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 2181104411.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 904232 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.42 - -0.58. Are r and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1970*v - 6. Let r(c) = c. Calculate r(p(o)).\nAnswer: -1970*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 171 (b) 5\/3 (c) 4 (d) 9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 13. Let o be y(9). Suppose 5*z - 364 = -o*v + 2*z, -10 = 5*z. Let c = v - 34. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 351336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56390 is divided by 18787?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -21. Let n = -5 + w. Calculate the lowest common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0549853247 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Let f(b) = -b + 4. Let z(v) = -f(v) + 4*r(v). Let n(u) = 11*u**2. What is n(z(i))?\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by 18984\nAnswer: 107\/18984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 29*x - 12*x. Suppose -5*t + 5*n + 2610 = 0, -x*n - 1576 = -3*t + 3*n. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 415 = -1471. Let d = -197 - w. Solve d*k**2 - 154*k**2 - k + 5*k = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205 and 369.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 33 - 13*b + 5*b. Let u be l(-7). What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 50 = -5*i + 3*i, -2*i = -c + 13. Suppose 3*p - 164 = p. Calculate the remainder when p is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from kesak.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.14 (b) 73\/5 (c) -3 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 3 - s**2 - 558*s - 1.\nAnswer: -s**2 - 558*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1549590713\/1353072 - 53\/64432. Let k(a) = -305*a + 74. Let t be k(4). Let f = h + t. Calculate the common denominator of 37\/21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 plus 11.208?\nAnswer: -28.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -78, -177, -316?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m - 630 = -22 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(8*o**2 + 54*o**2 - 14*o**2).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2. Let h be i(1). Suppose j = -h*j. Suppose j = 4*a - x - 335, -7*a - 3*x = -2*a - 440. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(48\/(-78)) + (-7 + 4 - 4). Let b(z) = 0*z**2 + 2*z + 4*z**2 + 3 + 7*z. Let a(w) = w**3 - w**2 + w. Let i(l) = -a(l) + b(l). What is i(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 6, j: 1, q: 7}. Give prob of picking 1 e, 1 j, and 1 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2)*4\/(2 - 0). Suppose 8 = -b + 3*b. Find the second derivative of -4*q - q**2 - b*q**2 - q**h wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 5, -2, 8 in ascending order.\nAnswer: -6, -4, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 5*f + 7*n - 12*n, 2*n = 4*f - 268. Let s(h) = 2*h + 3. Let m be s(-2). Which is the closest to m? (a) f (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.045, -4, 16, 2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 25*y**7\/3 + y**3\/6 - 35*y**2\/2 + 165*y. Find the second derivative of x(t) wrt t.\nAnswer: 7000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -123. Let m be (3 - 2)*(-2)\/8. Which is the nearest to x? (a) m (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -31*a**2 + a. What is o(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -26. Suppose 2*x = 4*t - 140, -113*t - 240 = -118*t - 4*x. What is the lowest common multiple of m and t?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-5))\/(c*c*c**6))\/(c**0)**2 assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*j = 7*j - 3570 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 49*w + 1143*w - 58*w - 45*w - 991*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2 - v**3 + 0*v**3 - 29*v**2 + 14 + 11*v**2. What is the smallest common multiple of 14 and f(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 - -1.84. Let t = 0.1 + -0.2. Let i = d + t. What is the third smallest value in -5, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxoxxxox. What is prob of sequence xxxo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0986 * 44.\nAnswer: -4.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 3 + (31 - 15) + -41?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3))**16\/((t*t**40)\/(t*t**(-1\/44)\/t*t)) assuming t is positive.\nAnswer: t**(-8099\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*x - 26, 4*i + 62 = -5*x + 48 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqlqqsslqssllsq. Give prob of picking 2 s and 1 q.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n + 40 = w, 0 = w - 5*n - 80. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 + 225. Factor 14*a**2 + 2*a**5 + 2*a + 10*a**4 + 2*a + 25*a**3 + t*a**3 - 16*a**3.\nAnswer: 2*a*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4*o**2 - 9*i**4 + 2*i**3*o**2 - 126*i**2*o**2 wrt i.\nAnswer: -72*i*o**2 - 216*i + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142, 92, 42, -8, -58?\n\"Answer: -50*v + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 39*w = 186, 0 = 3*g + 43779*w - 43775*w - 2 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 168, 367, 676, 1113?\n\"Answer: 3*u**3 + 28*u**2 + 2*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(80) - (-1 + sqrt(80))**2) - (sqrt(80)*-3 + -1).\nAnswer: -78 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17501497 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 4376669?\nAnswer: -4376669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + sqrt(847) + ((-1 + sqrt(847))**2 + sqrt(847) - sqrt(847)) + 2 + ((sqrt(847) + -1)*-1 - sqrt(847) - sqrt(847))**2.\nAnswer: -66*sqrt(7) + 8474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -361, 1\/2, 0.3, -3\/5, -2\/3?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - h**2 - 2*h + 1. Calculate u(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.41 - 0.21. Let v(j) = j - 3. Suppose 7*q - 4*q = 0. Let g be v(q). Put b, -0.5, g in ascending order.\nAnswer: g, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 16*t**3\/3 + 4*t + 19. Differentiate p(n) wrt n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189.018 or -29?\nAnswer: -189.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2, -102, 0, 5, -278 in decreasing order.\nAnswer: 5, 2, 0, -2, -5, -102, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5\/22 (c) 0.02 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1\/2 (c) 3\/2 (d) -11\/6 (e) -0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**2 + 252035*r + 1008060 = 0.\nAnswer: -50403, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3 - -6)*3. Suppose -i*q - 28910 = -152915. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + 6*q - 6. Let g(n) = 4*n - 1. Let d be g(-1). Is u(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*k + 2 - 36, -16*k + 11*k = -9*k + 16 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*g + 10 = 3, 4*g - 11 = -l. Let u(b) = 3 - 5 + l*b + 6*b - b**2. Calculate the remainder when 45 is divided by u(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n - 80*n = -20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -330019074 take away -1363.5?\nAnswer: -330017710.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(243) - (sqrt(243) + 1)**2 - sqrt(243))*-3.\nAnswer: 54*sqrt(3) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79 and 632?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:42 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2162679 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/8 (b) -0.2 (c) -166428 (d) 1\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49560\/59*2\/4. Calculate the highest common divisor of 144 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, -5, -47, -121, -233?\n\"Answer: -f**3 - 7*f**2 + 12*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*t - 3161 - 2097 = -232*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4*r**2 + 35*n**2*r**2*u - 7*r**2*u - r**2 - r wrt n.\nAnswer: 8*n**3*r**2 + 70*n*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/20 + -8)\/(1\/1). Let o = 5 - 7. Let z be o + 4 + 13*1. Sort 4, i, z.\nAnswer: i, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12) + 836\/(-6). Let q = -93 - w. What is the remainder when q is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3517065 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1310452504 - 12?\nAnswer: 1310452452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -24*w + 29*w - 1345, 5*j = w - 242. Solve 21 = -w*k + 260*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-586244)\/565)\/(4\/(-10))?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 6548697.7535493\nAnswer: -6548699.7535493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + -85. Let t = -9 + 10. Suppose -l = -7 - t. What is the highest common divisor of q and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 1. Let c be t(-2). Suppose 2 = 4*u - 6. Find the second derivative of -u*s**c + s - 5*s**2 + s + 5*s**2 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/3 - 12\/9. Let a = r - 23. Put a, 1, -3 in descending order.\nAnswer: 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6924*-2\nAnswer: 13848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 192.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -1.57. Let o = 0.28 + -0.4. Let g = r - o. Round g to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1665 divide 60499440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 2*q**2 + q)*(9 + 1565*q - 1569*q + 5)*(-6 + 3 + 1) to the form c*q**2 + h*q**3 + w + d*q and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 8*a - 8. Let r be p(6). Suppose -8 = -0*o - r*o. Find the first derivative of -1 - 3*q**2 + q**2 + 2*q**2 - o*q**4 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*s - 5*v + 33, 2*s + 3*v = 43. Calculate the highest common divisor of 145 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*q - 3*v + 415, -4*q + 3*v + 318 = 0. Solve -q - 164 = 35*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7888, -15347, -22796, -30229, -37640?\nAnswer: -45023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45313404, -45313402, -45313400?\n\"Answer: 2*w - 45313406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341303 (base 6) in base 11?\nAnswer: 137976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/84 and -137\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microsecond in nanoseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2857 + -2024. List the prime factors of a.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 + -4 + 642\/42. Let x(j) = 27*j - 7*j - 10*j + 1 - h*j. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = -3*i - 220, 4*i = 2*l + 88. Let q(u) = -u**3 - 11*u**2 + 4*u - 8. Let d be q(-12). Let t = d + l. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101001111100 (base 2) to base 12.\nAnswer: -1aa78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -224. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.379473 microseconds in hours?\nAnswer: 0.0000000059387425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*l - 39*l + 88 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 5:31 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 149*v + 2730. What is the tens digit of r(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 404 = 0. Let j = g - 56. What is the remainder when j is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2526 (base 11) in base 12?\nAnswer: -1aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*o + 3*o - 14*o)*(-170*o + 170*o + 2*o**2 - 8*o**3) to v + p*o**2 + i*o**4 + x*o + n*o**3 and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 224 = 5*w. Calculate the remainder when 42 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 219534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 - m + 5 - 2 + 3 + m**2. Let s be o(0). Solve -l + 5*p - 26 = 3*l, -l - s*p = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let n(y) = 41*y - 2. Give -4*h(t) - n(t).\nAnswer: -45*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-40)*66*6\/(-12)*1\/(-1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192439849\/892 - -215740. Let b = 2\/223 - u. What is the nearest to b in -1\/4, -0.4, 2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 5. Let k be j(-4). Suppose 18 = 10*g - 2. Find the third derivative of -4*b**3 + 0*b**k - 5*b**2 + 3*b**g - 5*b**2 wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + -9 + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11520 and 504.\nAnswer: 80640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.093 + -54.907. Let k = -54.8 - v. Let l(g) = -g**2 - 3*g - 2. Let i be l(-2). What is the nearest to 0 in -3\/2, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0471 or -2\/5?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*l - 662*l - 5272 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let b(r) = 3*r - r**2 - 4*r + 4 + a*r + 2*r + 6*r. Let w(n) = -n - 8. Let k be w(-12). Give b(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263 divided by 5.\nAnswer: 263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59751.983 - 59788. Let l = 36 + d. What is l rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 412 + -74. Let m = u + -338.4. Put m, 5, 0.08, -2 in decreasing order.\nAnswer: 5, 0.08, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/441 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 3. Let x = 11 - 8. What are the prime factors of j(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -35, 5, -33, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -3999*m**5\/20 - 1681*m**2 + 4576*m. Differentiate u(q) wrt q.\nAnswer: -11997*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.07. Let z = -193.0632 + 193. Let l = m + z. Round l to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-285)*15\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-132)\/16)*4\/((-64)\/(-1092))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 210*b + 205*b - 2 - 426*b + 1 + 2. Let u(f) = -7*f + 1. Let m(t) = 9*t + 77. Let n be m(-8). Give n*w(o) - 8*u(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31626 or -31627?\nAnswer: -31627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - 100387?\nAnswer: -100342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-2*7*(-36)\/42. What is the highest common factor of q and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4633 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.108 and 1.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i**(-7)\/i)*i\/(i\/(i*i**(-23)))*i)\/(i**(2\/55)*i**(1\/19)*i*i) assuming i is positive.\nAnswer: i**(-12633\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (47 + -3)) + -30\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s, 0 = 6*q + 33*s - 37*s - 73890. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 70?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4030234\/197 - -20458. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 0 - 1 + 4 + 2 + 50*k - 883*k**2 wrt k.\nAnswer: -1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c, 2*t - c = 40 + 15. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4.7. Let o = z + -0.1. Let i = -0.4 - 0.6. Sort -4, o, i.\nAnswer: -4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*g - 55 = -69, 0 = 4*d - 4*g - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.86, -5, -1\/3, 7, 0.5 in descending order.\nAnswer: 7, 0.86, 0.5, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 947095 and 151165.\nAnswer: 3085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/177590 and -34\/105.\nAnswer: 532770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:34 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z + 1. Suppose s = 3*k, 3*s + 2*s + 15 = 0. Let n be m(k). Solve 0*i = 3*i + u, -i + 4*u = n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571599?\nAnswer: 3, 7, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3714400480517 + 8.\nAnswer: -3714400480509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443032449 to the power of 1\/2, to the nearest integer?\nAnswer: 21048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608488 is divided by 202772.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - 0.5299297074145?\nAnswer: 0.1700702925855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3065 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osvvvssvsvskskkoovk. What is prob of sequence ks?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t + 6. Suppose 2*m + 4*f + 16 = -f, -3*f + 8 = -m. Let r be 3\/(-12) - (-30)\/m. Let w be d(r). Solve 2*u - w*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (2\/4)\/((-8)\/(-48)). Find the second derivative of c - h + 242*c**2 - 15 + 6 - 2 - 26 wrt c.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 446*n + 3043. What is h(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)*u*u**(2\/7))\/((u\/((((u\/u**5)\/u)\/u)\/u))\/u**4)*(u**(-1\/5)\/((u\/(u*u**0)*u*u)\/u))\/((u*u\/(u\/(u*u**1*u))*u)\/u**2) assuming u is positive.\nAnswer: u**(-449\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 17*z + 1. Solve 1 = 4*l - 5*i - z, -4*l + 4*i + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus 2.96?\nAnswer: -33.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*j = -9, -3*g - 2*j + 0 - 3 = 0. Let l = -4 + 4. What is the second biggest value in l, g, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 4*k**3 + k**3)*(26 - 259 - 31)*(6*k - 2*k - 5*k).\nAnswer: -264*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*g + 31052 = 960*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 6*o - 7*o**2 + 2*o**2 + o**2. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14777*b**3*w**3*y**3 + b**3*y**3 + b**2*w**3*y**2 - 6091*b**2*w**2*y**3 + 2*b*w**3*y**3 wrt b?\nAnswer: 88662*w**3*y**3 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114809475 and 278326?\nAnswer: 229618950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*a + 677*a + 1083*a - 701*a.\nAnswer: 1651*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 divided by 352604?\nAnswer: -44\/12593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 896\/5 - (-11)\/(-55). Suppose -z + 62 = -3*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12331.2885 rounded to the nearest 10?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4*117\/208)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -28*f + 386. Calculate s(24).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**3 + 0 + 13*g**2 - 1\/24*g**4 - 10*g. Let m(w) be the first derivative of r(w). Let y(f) = 2*f**2 + 36. What is y(m(x))?\nAnswer: 2*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1572 - 714. Suppose p = -5*i + 11*i. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 1 = -1. Let m(p) be the second derivative of j*p**4 + 0*p**5 - 1\/10*p**6 + 0 - 1\/2*p**3 + 0*p**2 - p. Find the second derivative of m(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + -1*1*sqrt(684) + sqrt(684))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 94658903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -769*u**4 + 10*u**3 - 102*u - 3. Let r(j) = 385*j**4 - 4*j**3 + 52*j + 2. Let a(x) = -5*r(x) - 2*v(x). What is the second derivative of a(q) wrt q?\nAnswer: -4644*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 4*b - 1. Suppose -4*x = 163 + 77. Calculate the remainder when ((-145)\/x - (-2)\/(-8))*6 is divided by n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*x - 77*x = -26*x - 1022 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2248 + 2248. Which is the third biggest value? (a) f (b) 1\/10 (c) -0.1 (d) -1\/20 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10910)\/(-34) - 10\/(-85). Suppose c + 12 = 9*h. Let l = h - 5. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/10*(10\/(-240))\/(2\/(-10))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*w + 2*b - 8*f**2*w + 14*f**2 + 6*f*w - 3 wrt w.\nAnswer: 2*b - 8*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*g - 59 + 12, 5*v - 130 = 5*g. Suppose 0 = 4*t - 3*w + 56, -4*t - 5*w - v = -1. Calculate the common denominator of 63\/4 and (-3)\/10*14\/t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61740 by -196.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113042*a - 37679*a - 185 - 37681*a - 37688*a + 185.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(75)*-6)*-1.\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 15*a - 14*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/978 + 49973\/18582. Let p = -5419\/2033 + v. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:51 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(-5))*n*n**1)\/(n\/n**(3\/2)*n**(-2)))**(-5) assuming n is positive.\nAnswer: n**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21665*f**3 - 48398 wrt f?\nAnswer: 64995*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v + 3*v**2 + 23*v - 16*v - v**2 - 7 - 34*v. Calculate d(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*x - 27. Let l be (-24)\/(-10) - x\/(-15). Factor -7*k**l + 6 + 2 - 4 - 19*k**2 - 8*k.\nAnswer: -(k + 1)*(k + 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53265 is divided by 2130?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - 12. Let a = -32.58 - s. Round a to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {u: 2, c: 1, r: 1, l: 3, i: 3, q: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/((-8)\/(-1744)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3 - 0) + 9. Suppose -g*n + 959 = -3*n. List the prime factors of n.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 8173085?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -5 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = a, 71*a = 72*a + 3*h + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39067.\nAnswer: 7, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2179*o**2 + 14*o + 6. Let t(i) = -726*i**2 + 5*i + 2. Give 6*j(w) - 17*t(w).\nAnswer: -732*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:12 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/25200 and -17\/2240.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8755 + 15?\nAnswer: -8740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 100 (d) 4 (e) 8906\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -590000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1398? (a) -0.4 (b) 3 (c) 0.04 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 309*g + 15955. List the prime factors of q(-17).\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.9681 to 0 dps.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1146*a - 27533. What is b(-24)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 4*c - 31, 0 = 5*c - 20. Let f = 0 + o. Solve 0*g = -g - 1, g + 26 = -f*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4500 and 2250.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + w + 1308 = 2614 - 1311, -4*j - 5*w - 11 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(6\/17)*h*(h\/h**21)\/h*(h\/h**7)\/h**(-8\/9) assuming h is positive.\nAnswer: h**(-3743\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 2\/21, 51, -12, 0.2, -16 in ascending order.\nAnswer: -16, -12, 2\/21, 0.2, 1, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 0.5 (c) 2\/123 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 2. Let v(o) = o + 11. Let x be v(-9). Suppose 0 = -h - x. Sort h, 2\/7, l.\nAnswer: h, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2321 and 5.\nAnswer: 11605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5.5, 4 in descending order.\nAnswer: 5.5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6836*-0.2.\nAnswer: 1367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.031 and 61.5.\nAnswer: -1.9065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 214. Suppose 0*p + 5*p = -q. Let u be (4\/p*0)\/1. Solve -g = -4*t + 13, 0 = 2*g - u*g - 3*t + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*a + 3*v, -39*a + 38*a - v = 2. What is the closest to -0.015 in a, 0, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -2.1. Which is the second biggest value? (a) 0.5 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 787 = 217. Calculate the remainder when (9\/(-6) - 0)\/(a\/(-2356)) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1101890 and 3255470?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2604)\/(-8680) - (3\/5)\/(-3). Which is the nearest to q? (a) 11 (b) 0.33 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v**2 + 0*v**2)*(-v**2 + v**2 + v**3) + v**2 + 2*v**5 - v**2 + (-v**2 + v**2 - 2*v**2)*(27*v**2 - 8*v**3 - 27*v**2).\nAnswer: 17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -h + 20 - 8, -3*h + 21 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*b + 16945 + 29549 = 0 for b.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*x + 94, -4*x + 50*q - 130 = 53*q. Sort -2\/3, -1\/4, x in decreasing order.\nAnswer: -1\/4, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (((2 + sqrt(99))*2 - sqrt(99))*5 + -4*(sqrt(99) + (3 + sqrt(99)*1 - sqrt(99))))**2.\nAnswer: 48*sqrt(11) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u - 4*x, 3*u + 20 = u + 4*x. Let v = u + 8. Solve -2*i + d = 13, d = v*i - 4*d + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.18 - -3.82. What is the second biggest value in -16, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26e (base 15) to base 9\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/113886 and 127\/11988?\nAnswer: 227772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -649.27648+0.06\nAnswer: -649.21648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 67*x**2 - 15*x + 20*x.\nAnswer: 67*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 25 = 5*o, -4*m + 3*o + 18 = -8. Suppose -m*t + 16 = -4. Suppose t*c - 6 = c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12102244 (base 6) to base 13\nAnswer: -104896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 174078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17512 and 7960.\nAnswer: 87560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:33 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32918 and 17969.\nAnswer: 3917242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 47. Suppose -7 + 28 = k. Calculate the remainder when k is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/6*((-5 - 5) + 6). What is the second derivative of 13 - 1628*m**2 + 1626*m**2 + m - t*m**5 - 15*m**5 wrt m?\nAnswer: -500*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(1900) + -1 - sqrt(1900)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 31*t + 200. What is the remainder when 317 is divided by v(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + 22?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-109022)\/(-36341) + (56 - 59)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 204.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.515266mg to micrograms.\nAnswer: 1515.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1069 + -1058. Suppose 0 = -z + 6*z. Solve z = 5*p - 7*g + 3*g - 17, 3*p - 2*g - i = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-4)\/(-2))\/(-78). Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0335 minus -74208?\nAnswer: 74207.9665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4786563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63638*m*y**2 + m*y - 4*m + 144*y**2 + 42*y + 8913 wrt y?\nAnswer: 127276*m + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19300 (base 10) to base 11.\nAnswer: -13556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2748, 2, -0.05, 12, 5, -5 in decreasing order.\nAnswer: 12, 5, 2, -0.05, -5, -2748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/7 - 8*w**4\/7 - 43*w**3\/7 - 58*w**2\/7 - 24*w\/7 = 0. Calculate w.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292675 - 1463372\/5. Determine t so that 2\/5*t**3 - 4\/5*t**2 + 1\/5*t**4 + b - 2\/5*t = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 6 + 1 - -2. Let d be (2 + -1)*(v - 0). Let t = d - 1. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 9. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2070*u**2 - 4*u - 4. Let d(x) = -279447*x**2 - 539*x - 539. What is -539*b(t) + 4*d(t)?\nAnswer: -2058*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 2. Let b be g(-2). Solve -5*h - 36 = -4*n, 5*h + b = -3*n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -71.7. Sort z, 2\/7, -49.\nAnswer: -49, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(10 + (-1908)\/189). Let y(k) = k**2 + 8*k + 10. Let n be y(-7). Suppose 2 = -n*r + 8. Solve -r*b + 3*b = -4*j - 6, -5*j = b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:03 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156455 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/9225, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2439515, -4879020, -7318517, -9758006?\n\"Answer: 4*i**2 - 2439517*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181698552 and 648.\nAnswer: 181698552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - j - 1. Let l be v(-2). Let x be 6\/l*3 + -2 - 4. Sort 1, -6, x, -2.\nAnswer: -6, x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*t - 2555*t**2 - 50*t + 2*t**3 + 10120 + 2561*t**2 wrt t?\nAnswer: 6*t**2 + 12*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7777 and 22528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -18 (b) -0.09 (c) 3 (d) -6 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v)*(52 - 146 + 19 + 3*v**2).\nAnswer: -6*v**3 + 150*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r + 6. Let j be (-2)\/6*(-66 + -3 - -3). Let x = -20 + j. Let q be p(x). Sort -4, q, 1.\nAnswer: -4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000384 to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f + 3*f - 176 = 0. Solve -q - 5*r + 24 = 0, -f*q - r = -14 - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299988.6 centuries to decades.\nAnswer: 2999886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:51 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 229 = 134. What is the remainder when i is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 4 + 2*p**2 + 2 + 0)*((-179 + 188*p + 179)*(29 - 66 - 26) - 3*p + 4*p - 3*p) to u*p**2 + v*p + b + r*p**3 and give v.\nAnswer: 23692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 11 = -35. Suppose a*f + 67 = 4*f + 3*r, -5*r - 20 = 0. Let q = f + -42. Calculate the remainder when q is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -5) + (-510)\/(-5). Let x be h\/33 + 4\/(-22). Solve t - 4*j = j + 21, j = -t - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - (55 - 117) - (47 + -1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77\/10 - 76\/5. Let z = v - -8. Factor -z*t**3 + 0*t + 0 - t**2.\nAnswer: -t**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v - 10. Let u(f) = -16*f - 20. Let w(r) = 9*h(r) - 4*u(r). Let b(o) = -2*o + 8. Let z be b(-9). Suppose 4*a + 6 = z. What is w(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j + 134 = -272 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m - u = 56*m - 48176, -5*u = m + 16032. Round m to the nearest one hundred.\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*s + 0*s = 33, -4*g + 14 = -3*s. Suppose -g*b = -4 - 6. Find the first derivative of -3 + o - o + 4 + b*o**2 wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Suppose -5*b - 4*q + 0 - 8 = 0, b - 5 = -3*q. Sort p, 3, b.\nAnswer: b, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*k**2 - 272*k**2 - 107*k**2)*(-7*k + 6*k - 20*k) to the form d*k**3 + f*k**2 + a*k + n and give d.\nAnswer: 6888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.76 + 6.88. Round l to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, g: 1, l: 4, b: 1, u: 1}. Give prob of sequence gjlj.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 432.5088 centuries?\nAnswer: 519010.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/189 and 139\/12.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12051, 12049, 12047, 12045, 12043, 12041?\nAnswer: 12039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:51 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37662, 37664, 37668, 37674, 37682, 37692?\nAnswer: 37704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14666*y + 5. Let p be t(6). Let v = -10 + 7. Let h be p - (-4 + 2 - v). What is h rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 112. What is the closest to -0.1 in -1, o, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose -5*b + o + 50 = n, -2*b + 6*b - 2*o = 40. Let i(t) = t**2 - 8*t - 4. List the prime factors of i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5 = -5*f, -4*f - 4*s + 26 = -7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8436439 + 1069299. Let h = s - 9505710.9999956. Let g = 27 - h. Round g to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = -4*p - 2, -4*a - 3 = p. Let y(k) = -k**3 + k**2 + 5. Let n be y(a). Solve q + 0*i = 4*i - 8, -q + n*i - 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 5:29 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*y + (2*y + 2*y - 3*y)*(3 - 5 + 1) - y - 3*y + y + 3 - y - 3.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137019660 divided by 2?\nAnswer: 2068509830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135393301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 + -0.3491349.\nAnswer: 0.5508651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2640 by -2640.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5 + 270*j**4 + 680*j**3 - 4530*j**2 - 10045*j - 5100 = 0.\nAnswer: -51, -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -5*f - 30, 0*g = 5*g - 7*g - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857728164?\nAnswer: 2, 3, 71477347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**2\/2 + 2*j + 2. Let y be k(-3). What is the closest to -1 in -1\/3, 2\/19, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 24 = -2*n. Let i(d) = -2 - 4*d - 5*d + 2*d - d**2 + 0*d. Let o be i(n). Solve -2*x - 6 = -o*x, 4*m + 22 = 2*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oodoooooooooooooooo?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 4*r**3 + 0*r**3 + (-4*r**2 + 4*r**2 + 2*r**2)*(0*r + 5*r + 7*r - 2*r + 3*r + 0*r + (1 - 1 + 1)*(2*r + 0*r - r) + r - 2*r - r - 4*r + 3*r + 0*r).\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0260555 rounded to 4 dps?\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-652)\/(-163))\/((-1)\/(-1)*(-32)\/(-184))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*w - 165930 = 3226*w - 39690 + 46768 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/2 (b) -1 (c) 2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.272 - 68.272. Let b = -75 - g. What is the nearest to b in -4, -1\/6, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*b - 51712 = -285967. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585368 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 0.132\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -57*g**2\/2 - 118*g + 173. Differentiate v(t) wrt t.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100029198 a multiple of 579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2*5\/170). Suppose 608 = 25*a - s*a. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -41 - (-1257 + 1275).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (2 - 2 - 2)*(0 + 0 - 1) - 4 + 2 + 3 + 4 - 1 + 0)*(r**5 + r**5 - r**5 + (0*r**2 + r**2 + 0*r**2)*(-2*r**3 - 4*r**3 + 4*r**3)).\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533059151 + 533059151 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4437384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 819 + -816. Find the second derivative of 58*z**3 + 1 + 57*z - 83*z**2 - 59*z**f + 5*z wrt z.\nAnswer: -6*z - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -f - 4*s - 3, -f = -3*s + 7. Let x = -15 - -40. What is the first derivative of 13*m - f*m + 15 - x wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24637, 49273, 73909, 98545, 123181, 147817?\nAnswer: 172453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1)\/(-2)*-2. Let s be 7*h + (0 - 1). Let z = -3 + s. Solve z*l + 0*l = -f - 3, 4*f - 2*l + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**34)**31\/(w*w**(-1)*w\/w**1*w*(w*w**(1\/2))**(2\/87)) assuming w is positive.\nAnswer: w**(15223\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 854428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*n + 511*n - 47*t + 107 = 0, 0 = n + 5*t - 17 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/150)\/((-4)\/30*-3). Let w = 23\/20 + p. Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/7 + 1455374*g\/7 = 0. What is g?\nAnswer: 0, 727687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -291. Let t = 129 + y. What is the greatest common factor of 16 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*f**4 + 1039808*f**3 + 948875254*f?\nAnswer: -3396*f**2 + 6238848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoggoog. Give prob of sequence go.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010282 rounded to 7 dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.12491 rounded to one decimal place?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*a = 44, 5*g + a - 122 = -28. Suppose -16*k + g*k = 358. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347 - 328. Suppose -3*s = -2*d - 25, 5*s + f*d - 20*d - 37 = 0. Solve 4*k - 20 = 0, -4*i = 3*k - 12 - s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 57 + 114*q.\nAnswer: 114*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -110100111111011110011?\nAnswer: -110100111111011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2157*v**2 + 267*v**2 + 640*v**2 as q + g*v + i*v**2 and give i.\nAnswer: 3064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u**3 - 16*u**3 + u - u.\nAnswer: -57*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + n = -5, -5*m + 1406*n = 1411*n + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 2451455152?\nAnswer: -2451455150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 11*c**2 - 42*c + 2. Calculate the remainder when 68 is divided by a(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.33. Which is the second smallest value? (a) -1\/18 (b) t (c) -2\/7 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104, 2069, 2910, 3627, 4220?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(4*sqrt(84)*-1 - -6*sqrt(84)*-1))\/(sqrt(1728)*-2*1)*5.\nAnswer: -2 + 25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*r**2 + 2138*r + 1948*r + 785*r - 248*r**3 wrt r?\nAnswer: -1488*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.2 - 367.2. Let b = z + 352.61. Round b to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v - 5. Let t be g(-7). Suppose -t*o + 1 = -7. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 7*x + 14. Calculate the least common multiple of 3 and y(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4206094*d - 2 + 5 + 4206083*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 123*h + 23. Let s be q(-6). Let o = -214 - s. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let w(m) = 27. Let o(n) = -306. Let q(h) = 4*o(h) + 45*w(h). Give 18*j(b) - 2*q(b).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120012 + -2022012?\nAnswer: -1202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 - 1) + 0\/(-1) and (192\/(-80))\/((-4)\/30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:18 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**3 + 2*c**2 - 5*c - 11. Let j(s) = -s**3 - s - 1. Determine -6*j(i) + q(i).\nAnswer: -3*i**3 + 2*i**2 + i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 2*g**3 + 7*g**2\/2 + 82*g. Determine f(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 26. Let x(h) be the third derivative of -h**6\/120 - 7*h**5\/60 - h**4\/3 - 4*h**3\/3 + h**2. Let u be x(-6). Put b, u, -4 in ascending order.\nAnswer: -4, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*j + 117. Let i = j + 235\/6. Find the common denominator of i and -7\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + a + a - 4 = 0, 0 = 3*g - 3*a + 6. Suppose 4*o = 5*o - 5*x + 5, 0 = x - 1. Factor o - b**3 + b**4 + 1\/3*b**2 + g*b - 1\/3*b**5.\nAnswer: -b**2*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6078 + 6085. Solve -4*b = 2*z - 2, o*b + 18 = -3*z + 8*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156000883 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v + 0*v**5 - 1\/3*v**3 + 31\/6*v**6 + 10 - 1\/2*v**2 + 0*v**4. What is the third derivative of d(x) wrt x?\nAnswer: 1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2274? (a) 11 (b) 2\/7 (c) -5\/6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 8) to base 6.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(12\/115)*(-56)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 293670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*x = -100, 34 = 5*j + 68*x + 748 + 734 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/12 + -2)*-10. Let q(w) = -w**2 + 6*w + 10. Let d be 24\/32 - 50\/(-8). Let g be q(d). Solve -b*k + 2*k = -g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3976 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -3*x + 0 - 1\/2*x**2 + 1\/3*x**3 + 1\/20*x**5 + 1\/4*x**4. Let o be g(-2). Do o and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let b(c) = c**3 - c**2 + c. Calculate b(p) + r(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5 - 6)*(-2*j - j + 4*j)*(j**2 + 0*j**2 - 2*j**2)*(1 + 0 + 2) in the form m*j + d*j**2 + a + v*j**3 and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379621 or 26.2?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -100. Let r(u) = -3*u**2 + 6*u - 4. Let h(j) = j**2 - j. Let d(g) = 4*h(g) + r(g). Calculate the smallest common multiple of 7 and d(t).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k - 2*k + 4*k)*(87*k + 7*k + 102*k) as d*k + n*k**2 + m and give n.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 2.7. Which is the nearest to 0.1? (a) j (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3604 and -41\/43030.\nAnswer: 77540060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (594\/(-891))\/(10\/795)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + 38\/84. Let w = 20135 - 80537\/4. Put w, t, -4\/5 in decreasing order.\nAnswer: w, t, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 32, 91, 184, 317, 496, 727, 1016?\n\"Answer: j**3 + 8*j**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.3844 + -17.113. What is r rounded to two decimal places?\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11240 = 1017*b - 832 + 3830 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let i = 51166 - 2148697\/42. Let k = -41\/6 + i. What is the nearest to k in 3, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 - (-4 - -4 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 17 + 17 - 42 as h + p*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 - 7. Let j = 433 - g. Calculate the lowest common multiple of 5 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1741360 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + i - 25, -5*g - 3*i - 27 = 0. Let a be 13083535 - (g - (-1 - 2)). Let d = a + -2383538. What is d rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1985 + -923. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151611 is divided by 492.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527481680 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.541779 - -33.54. Round b to 5 dps.\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1770656 - 8650256. What is q rounded to the nearest 100000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/7792955 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337 or -292012\/863?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559 and 220977.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.013 - -0.183. Let u = m + -0.13. Are -0.4 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 36. Let b = c - 7. Suppose -b*f = f - i - 90, 130 = 5*f + 5*i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.96349 rounded to one decimal place?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 212*g + 6147. Give d(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1 + -1)*0. Suppose w*b + s - 16 = -3*b, -1 = -3*b - 4*s. Suppose -31 = -2*k - b. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 133*v + 4379. Calculate r(-63).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7 - 13*m**2 + 4*m**2 - 5*m + 12*m. Let f(v) = 5*v**2 - 4*v - 4. Let w(s) = 5*s - 18. Let p be w(5). Calculate p*f(h) + 4*j(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3864 by -84.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12c2 + -19?\nAnswer: 12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + q. Let h(k) = 9*k**2 + 99*k - 315. Let a(v) = -h(v) + 3*z(v). Factor a(o).\nAnswer: -3*(o - 3)*(o + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46804630 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k - 274 - 236 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5625*t**3\/2 - 7895175*t**2\/2 + 2315192*t - 339526.\nAnswer: (t - 1403)*(75*t - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110011101101000 (base 2) in base 12?\nAnswer: -182a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - i + 4*i)*(1 + 0 - 2) - 139*i + 468*i + 38*i)*(-i + 7*i - 3*i).\nAnswer: 1098*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48032653.\nAnswer: 48032653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108799196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1202\/5 - -240. Which is the nearest to 1\/3? (a) 55 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 2.\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1273 and 918295099.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*b = -98*b. Let m be 120\/(-2) + (5 - b). Put 5, 4, m in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v**2 - 29*v**2 + 93*v**2)*(-17*v**2 + 18*v**2 + 7 - 3).\nAnswer: 44*v**4 + 176*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.37 (b) -4 (c) -5 (d) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*s**3 - 20*s - 663*s**3 + 3*s.\nAnswer: 3*s**3 - 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 8*h + 4. Let r be a(6). What is the third derivative of l**3 - 4*l**3 - l**3 - r*l**2 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*s + 1 = -8, -4*m + 11 = -5*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10331 = 68*m - 13430 - 25665. Calculate the greatest common factor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746625064?\nAnswer: 2, 19, 4912007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) -318 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*223.517.\nAnswer: -22.3517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -217*p + 50468. Calculate w(222).\nAnswer: 2294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {c: 1, b: 2, f: 5, r: 3, s: 5}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -28. Suppose 5*t + 5 = z, 4*t - 2*z + i = 8. Are 0 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.6 - 14. Let y = -0.7 + i. What is the smallest value in y, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 3}. What is prob of sequence nunn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/390 and -10\/52089?\nAnswer: 6771570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165\/59 + -6169\/708. Calculate the common denominator of 3\/9 - (-170)\/(-12) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w**3 + 4*w**2 + 2*w. Let u(j) = 15*j**3 - 7*j**2 - 4*j. Let h(s) = 9*c(s) + 5*u(s). Let n(z) = 2*z**3 + z**2 - z. Determine -4*h(g) + 5*n(g).\nAnswer: -2*g**3 + g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:37 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/((f\/(f*f**(-7)*f*f))\/f)*f)\/f)**(-14)\/(f\/f**(-2\/9))**(17\/4) assuming f is positive.\nAnswer: f**(317\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.62991568 to four dps.\nAnswer: 2.6299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -9 + (-57 - 9 - -97).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41996, 41995, 41994, 41993, 41992, 41991?\n\"Answer: -b + 41997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, v: 3, r: 5, a: 2}. What is prob of sequence mm?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -3 - (45 - 46). Suppose 5*p - 5*m - 135 = 0, -2*p - w*m - 4 = -58. Calculate the remainder when p is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.2 + -52. Let o = -0.25 + y. What is o rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/44697 and -89\/131820?\nAnswer: 1963986180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -122*z - 22. Let b be d(-7). Let k be (-2)\/17 + b\/136. Let u(o) = 4*o - 5. Give u(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 9*i**2 + 4. Let m(b) = -5*b**3 + 10*b**2 - 5. What is -6*d(f) - 5*m(f)?\nAnswer: f**3 + 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15846634, -15846638, -15846642, -15846646, -15846650?\n\"Answer: -4*u - 15846630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x + 2. Let s(h) = -2*h**3 + h**2 - 2*h - 3. Let b(n) = -5*o(n) - 3*s(n). Does 19 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 25*a**2. Let j(f) = -7*f. Calculate q(j(i)).\nAnswer: 1225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -73, -41, 13, 95?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 = -252*d + 145*d + 147*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118703 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 229. Let z = 211.98398785 + -0.00768785. Let y = z - g. Round y to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 1 - 1)*(-3*h - h + 3*h) + (-160 - 6 + 40)*(-h**2 + 0 + 0) + 0*h + h**2 + 0*h.\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.283 (b) -14 (c) -0.211 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849081, 1698164, 2547247, 3396330?\nAnswer: 4245413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -50.6. Let k = -13 + p. Sort -0.5, -2, k in decreasing order.\nAnswer: k, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -u*g + 9 = g. Suppose -2 = k - 2*k. Is g not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - v**2 - v - 3. Let d be -5*-4*6\/(-40). Does 9 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 187*t**2 - 448*t - 449. Determine y(-1).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 4*k. Suppose 0 = q + 3*h + 4, 2*q - 2*h - 12 = -4. Let c(i) = 6*i + 2 - i**q + 2*i - 4 + k*i. Determine c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 14 = -5*d, d - 11 = -2*d + 2*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 equal to 59741\/1126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(30)\/sqrt(75)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385684*b**3*f**5 + b**3*f - 6*b**2*f + 41667*b*f - 9*f**5 wrt f.\nAnswer: 7713680*b**3*f**3 - 180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304124 (base 5) in base 13?\nAnswer: 15976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*-11.02.\nAnswer: -573.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -35, -58, -101, -170, -271, -410?\n\"Answer: -g**3 - g**2 + g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w + 2. Let y = w - -4. Suppose -z - z = 4*i, 3*z - y = -4*i. Solve -1 = -z*f + f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*16\/42)\/(79\/((-23226)\/8))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0 - -2) - 10. Suppose -3*o = 5 + 34. Is s at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 + 204*f**3 - 1569*f**2 + 570*f + 9000 = 0.\nAnswer: -75, -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -326 + 8*s**2 - 21*s**4 + 329 + 42*s**4 in the form k*s**4 + a + m*s + b*s**3 + p*s**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1281736454 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - 1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21809 or -21807?\nAnswer: -21809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8450 and 1250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72147*a**2 + 23*a + 2773 wrt a?\nAnswer: 144294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*w - 584558 - 2425391. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 997391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(4*m - 3*m - 37 + m).\nAnswer: 4*m - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3818 > -3806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 3*h**4 + 0*h**4)*((4 - 2 - 4)*(-h + h + h) - 21 + 21 + 35*h).\nAnswer: -33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 6*w - 40800000. What is w rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4669*t**3 - 4650*t**3 - 4 + 4.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g + 3. Let s(y) = 23*y + 1. Let m(b) = -2*s(b) + u(b). Let x(w) = -16*w. Determine x(m(z)).\nAnswer: 976*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183*n - 219*n + 388*n - 1993*n.\nAnswer: -3007*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g + 36 = 0. Let j = g + -30. Let c = -13 - j. Solve -c = -3*o + k, 4*o - 3*k - 5 = -0*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -24 (c) 26 (d) 0.3 (e) 2.9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584*m**3*o**3*z + 4*m**2*o**3 + 15*o**3*z + 9*o**2*z wrt m?\nAnswer: -3504*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*h**5\/7 + 383766*h**4\/7 - 401342*h**3\/7 + 17706*h**2\/7 = 0 for h.\nAnswer: 0, 3\/65, 1, 2951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/10)\/(1137\/(-11370)). Let c = -1.55 + -0.05. What is the closest to 1\/3 in j, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - 6)) + (12 - 14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 1. Let l be (-1)\/(2*d\/(-30)). Let o be 56\/l*(2 + -77). What is o rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 + 27*g**2*q**3 + 3*g*q**3 + 2*g*q**2 - 90*q**3 wrt g?\nAnswer: 60*g**3 + 54*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - 2*sqrt(900))\/sqrt(12)*-1*2.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 - 481*g**4 + 1176*g wrt g.\nAnswer: -40*g**3 - 5772*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(972)*-2 - sqrt(972)))*2 + 0)**2.\nAnswer: 1296*sqrt(3) + 35028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -572 divided by -52\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 j, and 1 d when four letters picked without replacement from {n: 13, c: 1, d: 1, j: 5}?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12162 and 71\/12162.\nAnswer: 12162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 33. Let o be a(18). Let y be ((-440)\/(-12))\/((-5)\/o). Let c = 191 + y. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 194361507?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.088 + 0.088. Let q = j + 45.24. Let v = 0.7 + q. Which is the second smallest value? (a) v (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 + z - 1. Suppose 9*j = 3*j + 12. Determine f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 - -6642?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 609, 909, 1209?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Let u = -441.68 + -4.32. Let h = u + 453. What is the third biggest value in 1\/2, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099142 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 2552*u - 2549*u + 47, -9*u - 50 = -2*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 - -0.2. Let g = -629046 + 769952159\/1224. Let r = 1\/153 - g. Put r, 3\/4, -4, z in decreasing order.\nAnswer: z, 3\/4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -216, -461, -794, -1209, -1700, -2261?\nAnswer: -2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1717 weeks in microseconds?\nAnswer: 6151844160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15253053, -15253056, -15253059, -15253062, -15253065?\n\"Answer: -3*l - 15253050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/28520 and -77\/8556.\nAnswer: 85560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4472 + -4456. Calculate the highest common divisor of 4992 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-5)\/(30\/(-12)). Suppose -5*d = 5*f - 2180, f = -z*d - d + 1312. List the prime factors of d.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((142\/(-426))\/((-96)\/(-9)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81691128, -81691130, -81691132, -81691134, -81691136, -81691138?\nAnswer: -81691140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 1634*x**2 + 14545*x + 688. Give q(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(1 - 1 - x**2)*(3*x**2 - 3*x**2 - 2*x**2).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 27. Let q be y(6). Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(-222)\/(-12) - -5. Suppose -3*a + 384 = y. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -57. Suppose 6*f - 44 = 3*f - 5*a, -2*f + g = 3*a. Solve -4*h = -2*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7848 and 1260?\nAnswer: 274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 (base 13) in base 6?\nAnswer: -1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51527631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -183*b**5\/5 - b**4\/2 - 897*b + 608. Differentiate m(s) wrt s.\nAnswer: -732*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*r = 18, d - 23*r + 21*r = -12. Let a(n) be the second derivative of n**3\/6 + 5*n**2\/2 - 2*n. Give a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*j - 5*j. Let k = j - 6. What is the closest to 1\/2 in -0.3, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 158*u**3 + 843 - 3370 + 3*u - 61*u**3 - 3*u wrt u?\nAnswer: 291*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -4.7. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(2 - 1) + 2. Let q = -15 + 15. Suppose m*x = -q*x + 9, -5*g - 4*x = -52. Calculate the least common multiple of g and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -3*d - 0*z + z + 87, -8*d - 28 - 8 = -z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/7, 0.18, -281.24 in increasing order.\nAnswer: -281.24, 0.18, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6971 - 6965.8065. What is x rounded to two decimal places?\nAnswer: 5.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 2. Let v be h(-2). Suppose v*d - 3*c - 11 = 0, 4*c + 0*c = 4*d - 12. What is the remainder when 56 is divided by 3*(d + 12\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26 - (-1 + 3))*(-29)\/2 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3067*h**3*t**3 - 2727*h**3 - 3*t**3 + 2*t**2 + 41332 with respect to h.\nAnswer: -9201*h**2*t**3 - 8181*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58848642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:20 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17226*c**3 - 2*c - 5267. Let i(d) = 11483*d**3 - d - 3512. Let q(f) = -5*a(f) + 8*i(f). What is the second derivative of q(p) wrt p?\nAnswer: 34404*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -127825946?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1521\/(-26)*-1*2. Let f be 2 - 3 - (0 - 13). Suppose f = k - 1. Calculate the highest common divisor of n and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-33)*(-393)\/131?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o - 126. Let j be t(-8). Solve 0 = -25*h + j*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**7\/11340 - t**6\/3240 - 5*t**4\/12 - 37*t**2. Let i(p) be the second derivative of v(p). Factor i(x).\nAnswer: 2*x*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvygdgdgdddggygydy. What is prob of picking 2 d and 1 g?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.294364mg?\nAnswer: 294.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*r**2 - 46*r**2 + 54*r**2)*(2*r**3 - 2 + 2) + 2*r**5 + r**4 + 0*r**4 - 2*r**4.\nAnswer: -72*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 0*k - 14*k**3 - 16*k**3 to r*k**2 + i*k**3 + h + p*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 4 + 4)*(-10 + 7*p + 15 + 9) to s*p**2 + o*p + y and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17533*s - 17534*s + 5*p + 19 = 0, 5*s = 5*p - 5 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 221*l + 21462.\nAnswer: -(l - 73)*(l + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15825*h**3 + 7676*h**2 wrt h.\nAnswer: -94950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 953 = 925, 4*l = -2*c + 38 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysllbbszw. What is prob of sequence zsyw?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*v = 3383 + 2190, -3*o = 3*v - 16701. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -105*z**2 - 369*z + 178289. Determine d(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1523335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 6*f**3 - 24 + 42.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from {j: 2, k: 2, q: 1, w: 2, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + o - 7*o + (2 + 6 - 5)*(o - 4*o + 2*o) + 2*o - 5*o + o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 663\/5. Is h > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {s: 3, t: 3, w: 1, r: 1, e: 1, h: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 4 = 13*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 1 in decreasing order.\nAnswer: 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 806*m**2 + 5*m + 802. Let w(a) = 24*a**3 - 3225*a**2 + 21*a + 3207. Let z(r) = -9*u(r) + 2*w(r). What is x in z(x) = 0?\nAnswer: -268, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/7? (a) 2\/13 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/140 and -149\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 3*o - 67, -k - 72 = 8051*o - 8047*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*t + 519 = -137 + 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, 14392?\nAnswer: 14392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19. Let u(y) = 1. Let d(q) = -q + 8. Let b(i) = l*d(i) - 4*u(i). What is b(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5294336266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 8*t + 106 = 5*s, 3*s = -s - 9*t + 7*t - 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179*m**3 + 9*m - 2 wrt m.\nAnswer: 1074*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -2. Suppose 0 = -a*n + 7*n. Solve -2 = -b - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178491 + -178518.99925. Let d = -28 - l. Round d to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 244950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 2, -1.\nAnswer: -16, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4975)\/500 - (-37 - -27)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 404. Let y = m - -324.7. Which is the closest to -0.1? (a) -5 (b) -1\/4 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 2*t + 2*t)*(125*t**2 - 182*t**2 + 57*t**2 + 182*t**2).\nAnswer: -546*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4*3\/(-120))\/1. Sort 0, n, -0.7, 4 in decreasing order.\nAnswer: 4, 0, n, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(2 - 1 - 4)*(6*x**3 + 0*x**3 + x**3).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*g = 2*k + 40, k + 3*g - 3 = 0. Is 8\/(-36) - (-11549)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -153343 - 382?\nAnswer: -153725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55423 - -12?\nAnswer: 55435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*n = -8, -3*k - 2*n - 1 = -0*n. What is the units digit of -7 - -7 - k*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 - b + 5. Give n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/11363 + -1034073\/227260. Suppose -2*a - 2*x + x = -239, -1 = -x. Find the common denominator of (a\/24 + 4)*(-3)\/10 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 - y**3\/3 - y**2 + 3*y + 1. Let a be w(2). Find the second derivative of 3*l**4 + 31 - 6*l + a*l**4 - 31 wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876188603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -45. Let f(w) = h + 2*w**3 - 14 - 11*w - 13. Calculate the least common multiple of f(3) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10. Let t(z) be the second derivative of 0 + 0*z**5 + b*z**2 + 0*z**4 - 1\/105*z**6 - z - 1\/147*z**7 + 0*z**3. Suppose t(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*f - 44 = 0, -t + 4*f + 5 + 6 = 0. Solve 0 = -2*o - c - 4 + 3, 0 = 3*o + 5*c + t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -44*n - 36*n - 277 - 2093 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 1077765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -252. Put 27, 0.3, w in descending order.\nAnswer: 27, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, 4, -2\/11 in increasing order.\nAnswer: -2\/7, -2\/11, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/5 - p**4\/10 + 31*p**3\/10 - 61*p**2\/10 + 43*p\/10 - 1 = 0. Calculate p.\nAnswer: -5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18008 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-15)\/4510*(-4)\/(-3)). Calculate the highest common divisor of 82 and r.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*u + 5*j - 4, 4*u + j + 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - w - 6, x - 2*w + 0*w - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/15)\/((-33)\/(-165))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 120100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:04 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19057*a + 3*h - 22 = 19058*a, 6 = -a - h for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - -49. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1564, 3128, 4692, 6256?\nAnswer: 7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1445.634 to the nearest ten.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -3, -5, -4, 1 in descending order.\nAnswer: 73, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 + 175. Let m(b) = -17*b + s*b - b**2 + 9*b. Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -16*n + 21. Let r(c) = c**2 - 7*c + 3. Let a be r(n). Solve -3*k - d + 1 - a = 0, 2*k = 3*d + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -25. Suppose z*m = t + 32, -4*m - t = -12 - 19. Calculate the remainder when 17 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqqqqqqzqqqq. What is prob of picking 2 q and 1 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 4*p**2 + 5*p + 3. Let b(m) = 3*m**3 - 5*m**2 + 5*m + 2. Let j(r) = -3*b(r) + 2*z(r). Let w be j(6). Solve 3*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -26*g + 16*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hri when three letters picked without replacement from {k: 3, f: 2, r: 1, i: 1, t: 3, h: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0*m**2 + 0 + 48*m - 2\/11*m**3 + 7\/165*m**6 - 3\/11*m**5 + 29\/66*m**4. Find o, given that z(o) = 0.\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993162 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*j + 0 + 0)*(-1 + j + 1) + 10*j**2 + 4*j - 4*j)*(-3*j + 5*j + 6*j) in the form z + r*j**3 + q*j + i*j**2 and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 777681817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from qppppppppqappa.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 2*p**2 - 2*p - 12*p**3 + 2*p**2. Let v(c) = 4*c**3 - c**2 + c. Let a(l) = 3*s(l) + 8*v(l). What is the remainder when 57 is divided by a(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 3*o**2 - 12*o + 14. Let d be l(5). Suppose 20*u**2 + 218*u**4 - 149*u**4 - 114*u**d + 80*u**3 = 0. What is u?\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -39*w + 33. Let q be c(-7). Let t be ((-1947)\/2)\/(3\/(-4)) + -4. Suppose -p = q + t. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 3*z - 2. Let r be n(2). Suppose 3*g - a - 30 = 0, 5*g + 3*a + r*a - 50 = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 2*r + 7*r**3 + 419*r**2 - 417*r**2 + 1 as p*r + v*r**2 + y*r**3 + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 9040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 357 and -7.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 + 650*w**2 - 18635*w + 34710 = 0.\nAnswer: 2, 39, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*637.1078.\nAnswer: 4459.7546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/3 or -0.07?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/27*-3*(-2783868)\/(-41060).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*(-12)\/(-5250)*25\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -5 (d) 466\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*t - 2*t - j, 5*j + 13 = -4*t. Is 13 + (t - 12\/(-3)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - 9*i**2 + 1027*i\/2 - 1513\/3.\nAnswer: -(i - 34)*(i - 1)*(i + 89)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/141 + 6529584\/752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeav. What is prob of picking 2 a and 1 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/18*(-12)\/5. Let g = 39 + s. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s. Let t(a) = a + 2. Let u(w) = 3*w + 2. Let z(c) = -6*t(c) + 3*u(c). Let h(p) = 2*p - 5. Let v(y) = -6*h(y) + 5*z(y). Determine q(v(b)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43161581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -624876 by -22317.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2066202?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1255 + -1251. Which is the second biggest value? (a) l (b) 1\/6 (c) 0.315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 2*v + 112. Let d(q) = q**2 - q + 42. Let m(t) = -c(t) + 3*d(t). Calculate m(6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 4*g**4 - 5*g**4 + (g - g - g)*(194*g**2 + 37*g**3 - 194*g**2).\nAnswer: -35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -48*h**3 - h**2 - 2*h - 3. Let f = 6 - 8. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 2\/23, -6\/7, 0.003, -1746 in decreasing order.\nAnswer: 2\/23, 0.003, -6\/7, -51, -1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*p - 14, -3*p + 24 - 13 = 2*g. Let j(u) be the second derivative of -1\/12*u**4 - 3*u + 0*u**p + 0*u**2 + 0. Let b(r) = -2*r. Calculate j(b(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Let b = -1 + s. Let l = 0 + b. Solve 0 = -3*j + l*n - 35, -j + 2*n = 3 + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 107*p**2 + 363*p - 12. Determine r(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a**2 - 6*a - 2. Let z be y(-6). Put 3, -1, 5, z in decreasing order.\nAnswer: 5, 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/447 and 53\/15?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -102 + 142 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8329 - 24985\/3. Factor 5\/3*l**2 - 4\/3*l**3 - q*l + 1\/3*l**4 + 0.\nAnswer: l*(l - 2)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 41, 37, -9, -109, -275, -519, -853?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 1. Let g(u) be the third derivative of u**5\/30 + 56*u**2 + 1. Determine a(g(l)).\nAnswer: -4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 + (-12 - 203) + 40.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = 7. Let u = z + -1. Let y(d) = d + 4. Determine y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by -60.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101032233 (base 4) to base 7.\nAnswer: -412521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**2 + 338*a + 7731. What is f(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 18*l**2 - 16*l + 21. Calculate the smallest common multiple of h(-17) and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/59 + -405\/1121. Suppose -2*a + o = -3, -a + o + 4*o + 6 = 0. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -228.3 + 225.3. What is the nearest to -1\/19 in 0.5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*d - 7*j - 12, -3*d - j - 18 = 0. Let l be (-14)\/(-7)*d\/(-4). Factor 0 - 1\/4*o**l - 1\/4*o + 1\/2*o**2.\nAnswer: -o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 - 3*p**2. Let m be h(-2). Suppose 0 = b + m - 2. Let l = b - -13. Put 0.3, l, -0.4 in increasing order.\nAnswer: l, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let n(w) = -2*w**3 + 23*w**2 - 9*w - 6. What is the smallest common multiple of 12\/3 + 0\/l and n(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 18268 - 36520 + 18196 - 4*o**2.\nAnswer: -18*o**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16 + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 101*t**4 - 102*t**4 - 292*t**2 + 374*t**2 as l*t**4 + z*t**3 + r + u*t + d*t**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**3 + 24*t**3 + 24*t - 2*t - 14*t**3 in the form u*t**3 + j + g*t + f*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6534394142.695 and -2?\nAnswer: 6534394140.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 893.4 - 893. Which is the fifth biggest value? (a) -5 (b) -2 (c) 2\/11 (d) -159 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.546195 litres?\nAnswer: 546.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 15 = -7*r. Calculate the remainder when 34 is divided by r + (-46)\/(-14) + 122\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188722117*o**4 - 102256124*o**2 wrt o?\nAnswer: -4529330808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 2*q - 2*q. Let c(x) = 36*x**2 - 10. Let z(m) = -4*m**2 + 1. Let d(i) = -3*c(i) - 30*z(i). Determine d(r(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155\/17 - 149\/17. What is the nearest to i in 0.5, 4, 2, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -130349, -1042817, -3519519, -8342573, -16294097, -28156209, -44711027, -66740669?\n\"Answer: -130353*n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/406 + -1 - -1. Let n = w + 2\/29. Factor n*z + 0 - 2\/7*z**2.\nAnswer: -2*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14216.39 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 + -60 + -59 - (-7 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 7:36 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysdkyeksysseeseke. What is prob of sequence ye?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 11. Suppose l = 7 - 4. Suppose -12 = 4*m, 0*c - 87 = -l*c - m. What is the highest common divisor of u and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9396958 from 334.\nAnswer: 9397292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*2)\/sqrt(7))\/(4*sqrt(30)\/sqrt(6)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37379000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*l**5 + 2865*l**4 - 3168*l**3 - 38508*l**2 - 35136*l + 5376 = 0. What is l?\nAnswer: -2, -7\/5, 2\/15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.7 + 5.7. Let m = y + 38.99933. What is m rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1370095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - a**4 - 60*a**3 - a**2 - 9*a + 5 wrt a.\nAnswer: 60*a**2 - 24*a - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19670.\nAnswer: 2, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/561 and -46\/81753.\nAnswer: 899283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*r + 543 - 543)*(10 - 9 - 22)*(-2 + 3 + 1).\nAnswer: -2646*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -22 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 + 19*w**3 - 2*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, t: 4, x: 1, y: 2, o: 1}. Give prob of sequence mtt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, h: 9}. Give prob of sequence tt.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4824601\/660 + -7310. Let d(h) be the third derivative of -1\/66*h**5 - 30*h**2 + 0*h - 1\/11*h**3 - k*h**6 + 0 - 7\/132*h**4. Let d(c) = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3.487, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*g = -4, 241*g = o + 237*g - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwweewwwwew. What is prob of sequence ew?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 29. Let g(y) = -6*y**2 - 7*y - 1. Give g(u(v)).\nAnswer: -6*v**2 - 355*v - 5250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6273130 to the nearest ten thousand.\nAnswer: 6270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 4.70386?\nAnswer: 5.10386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 8. Let j(p) = -24*p + 63. Let a(l) = -33*d(l) - 4*j(l). Suppose 3*m + 3 = -3*w, 4*w - 2*m - 10 = 22. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 99?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2608518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 99.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l. Let c(a) = -16*a**2 - 924*a. Calculate j(c(n)).\nAnswer: -336*n**2 - 19404*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2777820)\/(-110) + (-17)\/(-187) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**2 - 1. Let p(n) = -n - 1. Let b(o) = -3*o - 2. Let l = 6 + -4. Let h(d) = l*p(d) - b(d). Give m(h(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2.3, 6\/5, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/22824 and -65\/16011036?\nAnswer: 32022072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -33*v - 5. Let k(m) = 14*m + 2. Let r(q) = -5*k(q) - 2*t(q). Let o(u) = -41*u + 2. What is o(r(j))?\nAnswer: 164*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/210 + i**6\/60 - i**5\/60 - i**4\/12 + 70*i**2. Factor l(n).\nAnswer: n*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -107?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {s: 1, t: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 247.8.\nAnswer: 259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from kdkqkmkaaakaaa?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 45 + 27. Let r be ((-29)\/(-4))\/(13\/52). Let u = r + j. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 = 4*k, 25*k - 25*k = -k + 3*w + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, k: 1, h: 2, t: 4, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {n: 1, p: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 212969, 425938, 638907, 851876, 1064845, 1277814?\n\"Answer: 212969*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 340\/(-12)*(14 - 2). What is the units digit of h*((-4)\/4)\/((-15)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-659 - 195 - 186 - 9)*(2 - 2 - 2)*(-3*k - k + 3*k).\nAnswer: -2098*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 + 373*u**5 - 214*u**3 - 29298*u**2 + 2*u - 4.\nAnswer: -240*u**3 + 22380*u**2 - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.17.\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 e, and 1 b when four letters picked without replacement from bbetzteeteeezztte?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65723 is divided by 13136.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 8. Let w be r(0). Let s = w + 2. Solve 2*h = 4*l - 7*l - 15, 2*l = 4*h - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 = 1305*m - 1217*m + 5873 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j**2. Let w(l) be the first derivative of 0*l + 1\/3*l**3 + 9 + 0*l**2. Calculate -f(u) + 16*w(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8335259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.527078l in millilitres?\nAnswer: 3527.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42610500 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68233943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112636679?\nAnswer: 17, 6625687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 107.5. Let a = m + 39.52. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*12\/(-10))\/(2*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5613794 = -120*o + 5619194 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322981 + 312201 = 490*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 21. Let k = 12 + o. Let g = -1\/41 + -34\/287. Which is the second smallest value? (a) g (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -6\/5, 9794.\nAnswer: -6\/5, 110, 9794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let f = x + 3.3. Which is the third smallest value? (a) -4 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139612.6 times -3?\nAnswer: -418837.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3578.334 microseconds to minutes.\nAnswer: 0.0000596389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1740 + -201. What is the smallest common multiple of s and 285?\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/4 + 675*i**3 - 513084*i**2 + 1024144*i + 5771. Find z such that w(z) = 0.\nAnswer: 1, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63463\/2778 - 16\/1389. Calculate the common denominator of p and -46\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 * -13545.\nAnswer: 1571220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48b (base 13) in base 16?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - (39 - 73)) + -41 + -36?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 701198 to the nearest ten thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6 = 0, 183*c + 30 = 191*c - 2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4 - (-8)\/(-4). What is the third derivative of -371*k**c - 3*k**5 - 3*k**5 + 359*k**2 wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/63 + 301\/(-189)*-3. Let k be 0*(3\/12*4)\/(-2). Solve -5*a + 5*t + 20 = k, -u*a + 4*a + 5*t + 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139843257?\nAnswer: 3, 46614419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3\/2*p**2 + 0*p**3 + 7 + 0*p + p**4. Find the second derivative of w(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*100\/75\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196685*l**6 + 106809*l**2 + 3*l + 2.\nAnswer: -23602200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14016 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12290782*c**4*h*w - c**3*h*w - 2*c**2*h*w + 14*c**2*h - 44*c**2*w + 13*c**2 + 10*c*h*w - 3*h - 2*w wrt c.\nAnswer: -294978768*c*h*w - 6*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20756*w**2. Let l(i) = -i. Determine o(l(j)).\nAnswer: -20756*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8931464ng in micrograms?\nAnswer: 0.0008931464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-25)\/(-6) - 4)*6. Let y(h) = 461*h**2 + h. Let n be y(m). Calculate the highest common factor of n and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 154 - r - 143 + 5*r**3.\nAnswer: 5*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1134 or 1126?\nAnswer: 1134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + 3*n**4 - n**4)*(13 - 440*n - 13) - n**5 + 1 - 1.\nAnswer: -881*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:58 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/600 - j**4\/48 - j**3\/10 + 23*j**2\/2 + 4*j + 1. Let l(m) be the first derivative of o(m). Factor l(c).\nAnswer: -(c + 2)*(c + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 10 + -2 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214.911 - -215. Let u = 0.199 - r. What is u rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 12874931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbhbbbbhbbbbb. What is prob of picking 3 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 161 and -1761?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7*b**2 - 4*b**2 + 0*b**2 in the form o*b**2 + n*b + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)**(-1)*h*(h\/(h*h*h\/(h*((h*h*h**10*h)\/h)\/h*h)))\/h*h*(h**5\/h)\/h)**(-20) assuming h is positive.\nAnswer: h**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 373*c - 32. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -55*r**2 - 4293*r\/2 - 639 = 0.\nAnswer: -426\/11, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q\/(q*q**(2\/51))*q*q)))**47\/(q**(-4)*(q**9*q)\/q) assuming q is positive.\nAnswer: q**(9239\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(455 - -4)\/3. Let i = f + -312. Suppose s + i = 5*c, 0*c + 33 = c - 2*s. Calculate the greatest common factor of c and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1\/3*j**5 + 2\/3*j**4 + 5\/3*j - 8\/3*j**2 + 2 - 2*j**3 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/39198 and -157\/19465560?\nAnswer: 914881320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 - 7*h. Let x(q) = q**2 - 10*q + 14. Let p be x(9). Suppose -2*c - p = -7. Suppose -5*s = -3*j + 20, j + c = 2*j + 4*s. Determine i(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8 (b) 4.31 (c) 3 (d) -11\/8 (e) 0.3 (f) 3\/2 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*k + 25 = -6*k, -2*k = 4*b - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*j**2 - 10*j**2 - 11*j**2)*(3*j - 2*j - 3*j) as r*j**2 + k*j**3 + t*j + x and give k.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p + 6. Let j = -35 + 36. Let r be j + (1\/(-3))\/((-12)\/(-54)). Which is the closest to p? (a) 0.4 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 4*w = -417 + 528, 0 = -3*w + 2 + 7 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 200, 311, 422, 533, 644, 755?\n\"Answer: 111*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 175*t - 434*t + 209*t. Let a(w) = -18*w**2 + 30*w**2 - 11*w**2. Determine a(d(y)).\nAnswer: 2500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 2*m + 19. Let a = -70 - -79. Let r(b) = -b**3 + 10*b**2 - 11*b + 18. Let i be r(a). Does 19 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 5, t: 3, r: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 + 5 + 3*n - 10*n - 1 wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 835243707 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-3)\/2)*(-22 + 14). Find the common denominator of -113\/30 and (352\/16)\/((-10)\/b).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3435 = -142*m + 137*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.77 + 0.23. Let z = h - 8. Let u = z + -1. Which is the second smallest value? (a) -2\/3 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 6. Let h be b(6). Suppose -2*t + 3*t + 2*d = 0, h = t + 5*d + 3. Solve 0 = 5*n - w + 4*w - 16, t*n = 2*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1008*m + 62556. Determine b(62).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300328.3 - -22?\nAnswer: 5300350.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w + 28. Let c be a(6). Let r = c + 38. Calculate the lowest common multiple of 27 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t + 3. Let k(p) be the second derivative of p**4\/4 + 7*p**3\/6 + 7*p**2\/2 - p. Determine 3*k(u) - 7*q(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m + 1. Let q = 540 - 541. Let h(w) = w**2 - w. Calculate q*n(x) - 2*h(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(-18*10\/(-60))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4036410?\nAnswer: 2, 3, 5, 7, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1769 + 1767. Let g = -7 + 12. Let v(w) = -3*w + 1 + g*w + 1. Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-2))\/(((-2)\/12)\/(-1)). Solve t - 2*b = -0*t + j, 4*t + 2*b - 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*z + 128, 2*z = -4*i - 34 - 252. Let x = i + 206\/3. What is the biggest value in 0, x, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2) - -1 - (-16)\/32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m - 29*m - 26*m + 17*m to l + j*m and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 1 + 8 - 6 + 2*m**2. Let u be v(2). Let w(g) = -2*g**3 - 3*g**2 - 8*g - 6. Let j(i) = -i**3 - 2*i**2 - 5*i - 4. Calculate u*w(l) - 8*j(l).\nAnswer: -2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, -0.3, -1, -7, -13, -2\/109?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48.69, -2, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(-8*n + 18 - 18)*(-2*n - 29*n - 15*n).\nAnswer: 736*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -20. Let z(i) = 2*i**2 + 2*i - 1. Let l be z(1). Suppose -2*t + 45 + 485 = -5*b, c*t = -l*b + 1325. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5062 + -3362. Calculate the greatest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155266 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(1\/(3\/6)). Let z(x) = -x**2 - 7*x - 12. Let b be z(s). Let g = -95 - -95. Sort g, 3, b in descending order.\nAnswer: 3, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635754 divided by -6\nAnswer: 105959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/27*(-61)\/(-31). Let f be ((-2)\/(-558) - -2) + -2. Let q = x - f. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 1.3. Let x = u - -1. Let q(v) = 3*v. Let h be q(1). Which is the smallest value? (a) x (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5504592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 6*o**2 - 6*o - 3. Let x = -38 + 59. Suppose x = 2*f + f. Let c be m(f). Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 15*n = -160. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 163510?\nAnswer: 327020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 610 = -13*z + 11*z, 0 = 14*q + 28. Suppose -6*u + u = -385. What is the remainder when z is divided by u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2474417061?\nAnswer: 3, 179, 773, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*k - 2021 = -2090, 0 = -3*s - 5*k - 68 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + 4*u - 16. Let v = 120 - 115. Let k be y(v). Let p(h) = -h**3 + 3*h**2 + 6*h - 3. Give p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 204, 310, 416?\n\"Answer: 106*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/25*(585\/(-18))\/13. Let u = -2 + -3. Sort u, h, 4 in descending order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 43*d + 5*b = -308, -2*b = -3*d + 898. Let g = -289 + d. Let m(z) = -z + 1. Calculate the remainder when g is divided by m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40708483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l - 4. Suppose 0*s - 4*a - 50 = -5*s, -5 = -5*s - 5*a. Let y be 1*s - 9\/3. Give f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -b + 2 + 11, 5*b - 15 = 0. Let j be (-2)\/(t\/10*10\/(-76)). Let r = 64 + j. Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 275 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/12)\/4 - 67\/(-3). What is the highest common divisor of r and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 0. Let m be 72\/126 + (230\/14 - -1). Let f = m + a. What is the highest common factor of 54 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 61) + (-3 - (-3 - (-4 - -2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 1100*z\/9 + 151250\/9.\nAnswer: 2*(z + 275)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 1.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.616509 rounded to 2 dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.72065 to two dps.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 120*k**3 - 32*k**2 + 44. Let n(p) = 11*p**3 - 3*p**2 + 4. Calculate -3*c(w) + 32*n(w).\nAnswer: -8*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t**3 - 12*t**2 + 10*t + 4. What is the units digit of s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2834 = -3*n + 221*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 7, 0.035, -3, 0.03, -5?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.4621 + -0.0121. Let s = 11.8 - g. What is s rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g + 23 = -122*g + 3*m, 0 = -g - 4*m + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**3 + 3*m**3 + m**3 + (3 - 2*m**3 - 3)*(-1 + 3 + 0))*(-6 - 14*m - 1 + 6) in the form o*m**4 + k*m**2 + d*m**3 + i + x*m and give o.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(216) + -2*sqrt(216))\/(sqrt(14)\/(sqrt(28)\/sqrt(4))) - (-1*(-3 + sqrt(9)\/sqrt(3)) + -2)**2)*5.\nAnswer: -20*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4017614, -4017626, -4017638, -4017650, -4017662?\n\"Answer: -12*i - 4017602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4. Let f be 22 + -25 - (-8 - 0). Suppose 0 = -5*j + f*g + 50, -2*g + 22 = -2*j + 7*j. Suppose 0 = -4*n + j*n + 10. Determine v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 27*c + 51*c - 3*c**2 - 27*c + (-4*c**2 + 2*c**2 + c**2)*(-3 + 5 - 3))*(-7*c - 47*c - 56*c).\nAnswer: 220*c**3 + 330*c**2 + 330*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 - -1586\/7. Let v = -3 - 0. Let a = -13725.2 - -13725. What is the third biggest value in n, a, v, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = 53. Suppose 0 = 5*t - 2*p - d, -5*t - p = -5*p - 61. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2aa + -18?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2.3 (b) 2\/9 (c) 837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(425) + (-1 + sqrt(425))*1 + -2 + sqrt(425) + 2) + ((3*(1*sqrt(425) - sqrt(425)) + -2)*-3)**2.\nAnswer: 35 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + f + 3*f = -34, -4*f + 41 = 3*d. Let y be ((-12)\/d)\/((-3)\/165). Let k = -30 + y. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, 840.\nAnswer: -1, -2\/5, 840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -17*r - 131 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - 3*n - 4*n**2 + 4*n - 2*n**2. Let w(y) = -7*y**2 + 7*y - 6. Let f(q) = -6*l(q) + w(q). Determine f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k + 51*k - 3848 = -151*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2647, 5128, 7605, 10072, 12523, 14952, 17353, 19720?\nAnswer: 22047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 157 = 2*w + 147, w = -4*t - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3 (c) -0.04 (d) 0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 14*r**2 + 208*r - 1179. Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 4 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -26*q - 1524028. Is q\/(-133) + 6\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:40 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 1, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 893 + -892. Let c(q) = 3*q - 7. Let w(a) = -1. Calculate y*c(h) - 5*w(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -5d76?\nAnswer: 5d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-2)\/((2*sqrt(84) - sqrt(84))\/sqrt(7)) + 2 + ((-2 + 4*sqrt(567))**2 - sqrt(567)).\nAnswer: -151*sqrt(7) + 9078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let h(k) = -39*k**2 - 7*k - 42. Let c(n) = 253*n**2 + 46*n + 276. Let t(d) = 7*c(d) + 46*h(d). What is t(m(s))?\nAnswer: -1472*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let i(u) = 18*u. Calculate 5*i(o) + 5*q(o).\nAnswer: 85*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 26*a**2 + 19*a**2 - 43*a**2. Let g(p) = -226*p**2. What is n(g(k))?\nAnswer: 102152*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -162. Let f be (-16)\/(-12)*-6*(-1)\/2. Suppose f*l + 4*y = 96, -58 = -3*l - 0*y + 4*y. Calculate the smallest common multiple of x and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12) + 424\/(-6). Let t be 3 - (p + (3 - 3)). Let q = 366\/5 - t. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69, 75, 61, 21, -51, -161?\n\"Answer: -z**3 - 4*z**2 + 25*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 6 = 2*r + 28*x - 16*x, 54*x + 15 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 7422257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Let b(u) = -48*u - 2. Let c(d) = 14668*d + 608. Let p(i) = 304*b(i) + c(i). Determine p(o(f)).\nAnswer: 228*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s. Let c = 233 + -234. Let k(g) = -75*g**3 + 6*g**2 + 98*g. Let o(r) = c*k(r) - 6*t(r). Find the second derivative of o(x) wrt x.\nAnswer: 450*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6312 and 1792696368.\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*g - 7922 - 3339 = -1308 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1752\/(-144))\/((-4)\/((-8)\/(-55))) and -69\/160?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 10*o - 9. Let n be p(-11). Suppose -19 = -u - 5*r, 2*u - r - 13 = -2*u. Solve -a = -5, -2 = 2*k - n*a + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 38 = 0, 4*r - 47*q - 49*q + 64 = -143*q + 43*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + -93 - -58) + 65 + 26 + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-24) - (-46)\/8. Let k = 3 + -1. Suppose k*w - q = w. Solve 4*d + w = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(784)*-2)\/sqrt(7) - (-1 + (sqrt(847)*-1 + sqrt(847))**2 + sqrt(847))).\nAnswer: -95*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -1\/83 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.4 + 31.4. Let i = 1181325 - 1181332.00143. Let v = r + i. What is v rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*22082\nAnswer: -22082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101011 (base 2) to base 6.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/391 - -406\/1955. Factor 1\/5*f**3 + 1\/5*f**2 - y - 1\/5*f.\nAnswer: (f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-105) - (-26)\/30. Let o(j) = -3 + 4 - 11*j - d. Let g(u) = -4 + 5*u - 9 + 13. What is -9*g(t) - 4*o(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.4 - -12.4. Let g = 38 + -37.8. Which is the closest to -2? (a) 5 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -35*t - 125. What is f(-8)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4396, 2, -34, -1 in descending order.\nAnswer: 3, 2, -1, -2, -34, -4396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(171)))**2*3*1.\nAnswer: 162*sqrt(19) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1485715 and 113273?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 59*q - 18 + 66. What is the nearest to -1\/3 in -5, q, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Put 4, 0.4, u, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30266*q**2 - 1332*q + 333. Let f(w) = 908*w**2 + 40*w - 10. Let z(v) = -333*f(v) - 10*s(v). Let o(l) = -26*l. What is o(z(r))?\nAnswer: -7696*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -46, 2 in decreasing order.\nAnswer: 2, 1, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370263 (base 9) to base 4.\nAnswer: -312200331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y**2 + 5*y**2 + 0*y)*(-y + 3*y**3 + y) + (0 + y**2 + 0)*(-y**3 + y**3 - 2*y**3).\nAnswer: 7*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 + 14*r**4 - 8*r**4 - 4 - 6*r**4 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = t - 56. What is the highest common divisor of 50 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:08 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.1 to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -20. Suppose 94 = 17*h - 144. Suppose -r = 4*v - 0 - 27, -2*r = 3*v - h. Solve 3*c = -3*b + 3, t*c - v - 17 = 5*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25767 + 165?\nAnswer: 26154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 49*a - 40. Let t(m) = 27*m - 20. What is 11*t(b) - 6*u(b)?\nAnswer: -6*b**2 + 3*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 24*u - 128. Let a be i(-8). Let p be a + (1 - 4) + 16. Solve 0 = 11*b - p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 6*r**3 - 4*r**3)*(6*r - 5*r + 8*r).\nAnswer: -63*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 3. Let s = -3 - -5. Let b(d) = 16 + 7*d + 11*d + 3*d. Let m(o) = s*b(o) + 11*g(o). Differentiate m(w) with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 5*v - 25*v + 0*v - v + 2*v + 6*v - 2*v - 3*v + (-2*v + 0*v + v)*(4 - 2 - 3) + v - 2 + 2)*(2*v + v**2 - 2*v).\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 14*v + 47. Let j be p(12). Suppose -j - 304 = -3*n. Suppose n = 3*x + 8. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -481 + 704. Let m = 228 - p. Let c(q) = -2*q**3 - 7*q**2 + 3. Let f = -13 + 7. Let u(k) = -2*k**3 - 8*k**2 + 3. Determine f*c(o) + m*u(o).\nAnswer: 2*o**3 + 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from pbbbbbpppbpbb.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/5 + 2481358*b**2\/5 - 769643431198*b\/5 + 769640949842\/5 = 0. Calculate b.\nAnswer: 1, 620339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*g = 8635, 4*g = 4*z - g + 11490. Let t be (z\/3)\/(56\/(-6720)). What is t rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -2, -6, 5\/3, -1\/4, 6\/13 in ascending order.\nAnswer: -117, -6, -2, -1\/4, 6\/13, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(((u\/(u*(u*u**(-20)*u*u)\/u*u))\/u)\/u)\/u*u*u**(-2\/19)*u assuming u is positive.\nAnswer: u**(321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**25)\/(g\/(g*g**(-7\/5))) assuming g is positive.\nAnswer: g**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 8*d + 9. Let p be q(-8). Suppose -2*h = 2 - 8. Solve -6*t - p = -h*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/824 + (-27)\/(-36) + -1.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 - 10*z + 9. Let f be m(-8). Let r = -11 + f. What is the lowest common multiple of 16 and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.01122ml in litres?\nAnswer: 0.05301122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -761747*h*x**4 + 53483*h*x**2 - h + 10*x**4 - 3 wrt x.\nAnswer: -18281928*h*x + 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g + 5*l, -3*g = l + l - 5. Suppose 3*d + 0 + g = 2*v, 2*v - d = -1. Put -0.2, v, -5 in decreasing order.\nAnswer: -0.2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14004\/5446 + 143\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5180 - -7401. List the prime factors of u.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8262 - 16521 + 11*f**2 + 8259.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 11384580.\nAnswer: 79692060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598509, 1197017, 1795525?\nAnswer: 2394033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 1264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 38?\nAnswer: -58\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38515 is divided by 2962.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-5 - (6 + -11 + 6)) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60*((-2)\/(-5))\/1. Let c(t) = -t - 2. Let g be c(-5). Suppose n = g*i - 9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 5*r**8\/112 - 559*r**7\/42 + 9251*r**6\/8 - 53283*r**5\/4 + 56025*r**4 - 60750*r**3 - 8056*r**2. What is y in n(y) = 0?\nAnswer: 1\/3, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1695 - -12441279\nAnswer: 12439584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5 - 152*f**4 - 7660*f**3 - 7504*f**2 = 0.\nAnswer: -28, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 + 1 - 6 - 39*g**2 + 2132*g - 2*g**4 + 2139*g - 4273*g to the form v*g**4 + l*g + h + t*g**2 + x*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -3*n + 5431, 5*x = 4*n - 7235. What are the prime factors of n?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 115 = 4*x, -5*x - 3*p - 490 + 559 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*(-210)\/(-140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13003 + 2?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = a - 14. Let i(k) = -10*k + 1 + 0*k - 2 - a*k. Calculate i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13295?\nAnswer: 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 0*t + 1\/4*t**4 + 10 - 3\/2*t**2 + 1\/30*t**5 + 0*t**3. Let h(y) be the second derivative of c(y). Factor h(j).\nAnswer: 2*j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 26*l**3 - 4. Let m(v) = 1. Calculate -5*m(g) - p(g).\nAnswer: -26*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**4 + 0*q**4 - 4*q**4 + (2 - 2*q**2 - 2)*(45*q**2 + 25*q**2 - 26*q**2) to c*q**3 + z*q + l + v*q**2 + s*q**4 and give s.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 30*r**2 + r - 32*r**2 - 30*r**2 + 94*r**2 as d*r**2 + s + m*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340 = 41*i - 36*i. Calculate the greatest common factor of i and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/597 - 2971\/4179. Let s = -22\/21 - p. Which is smaller: 0.18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -29*j**2 + 266*j + 524. Determine b(11).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1001101010011111000001 (base 2) to base 12\nAnswer: a22055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -86. Let m(j) = 16*j**2 - c - 13*j**2 + 7*j + 2*j**3 + 3*j**3. Let g(d) = -d**3 - d**2 - d + 1. What is -3*g(l) - m(l)?\nAnswer: -2*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -77, -1\/4, -0.4, -0.05, 2.1, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -4505.\nAnswer: 1351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 2}. What is prob of sequence za?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 2. Let z(p) = -8*p - 6. Let x(i) be the second derivative of i**4\/12 + 13*i**3\/6 + i**2\/2 + 54*i. Let h be x(-12). Determine h*s(f) + 4*z(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3923 * 0.1.\nAnswer: -0.03923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -18*f + 17*f + 4*g, 3*f - g + 23 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 45*w. Let c(x) = 348*x. Determine c(a(m)).\nAnswer: 15660*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11399555.678 rounded to the nearest one hundred?\nAnswer: -11399600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-12)*6 - 7. List the prime factors of (-7344)\/162*(1 - i\/(-4)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + z - 3*z + (-13 + 29 + 11)*(0*z - 3*z + 4*z + (2 + 0 - 1)*(0 + 0 + 2*z)).\nAnswer: 83*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*g = -24, 4*v + g + 15 = -9. Let b(i) = -i**2 - 8*i - 8. Give b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 10*g - 6. Let f be y(-9). Suppose f*n - 22 = 3*m - 8*m, n = -4*m + 12. Sort -5, m, -1 in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 3)\/(152\/74 - 2). Let w = r + -46. Let y be w\/6 + 33\/6. Solve 12 = -y*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3*9*1041. Let s = 797289 - h. Suppose 0 = -3*m + 2*g + 1620006, 766494 + s = 3*m + g. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/(-3) + 4\/6. Let a = -20 - j. Suppose -2*q + 46 = -4*l, -a*q - q + 97 = -l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 - 4*q**4 + 16*q**3 + 32*q**2 - 32*q - 64.\nAnswer: -2*(q - 2)**2*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 0 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6568, 6715, 6874, 7045, 7228, 7423, 7630?\n\"Answer: 6*a**2 + 129*a + 6433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 - 10.0931.\nAnswer: 95.9069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = k, -4*k + 34 = -3*z + 12. Solve 0 = 2*h + z*a - 4*a + 2, 3*a + 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 23011?\nAnswer: 2301.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-42) + (-6)\/14)\/1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175598 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 286*f - 336270 - 87010. Calculate the remainder when f is divided by 729.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -678\/17 (c) 3 (d) -109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56506 = -871*u + 2320*u + 20281 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21250 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*p**2 - 2 - 4*p**2 + 6*p**2 - 3*p**2 + (0*p + 2*p + 0*p)*(-2 + 2 - p) + 5 - 3*p**2 + 6*p**2 + 0*p**2 to the form l*p**2 + m + k*p and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m + 7*m + 2*m + (0 - 3 - 2)*(-51*m + 23*m + 15*m) to x*m + j and give x.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - m + 370 - 357 = 0, -k - 7 = 5*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 261 + 285. List the prime factors of (-16)\/((-16)\/k) + 1023.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d)**(-33) assuming d is positive.\nAnswer: d**(-297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*k = -639*k - 42410 + 99155 + 37503 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 1. Suppose -o + 3*o + 2 = 0. Let t be l(o). Suppose -23 = -t*q - 8. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*w = 189*w + 8736. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 2*z - 6. Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203017228 divided by -300754307\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913 divided by 50211.\nAnswer: 913\/50211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30 + 4*t + 11 - 10 + 8. Let h be s(-8). Calculate the greatest common factor of h and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-2\/11)\/q*q*q)*q**(2\/3)*q**(-1\/7)*q*q\/(q**5\/q) assuming q is positive.\nAnswer: q**(-530\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.03 (c) -0.283 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 * 12425.359\nAnswer: 397611.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322859, 645721, 968581, 1291439, 1614295?\nAnswer: 1937149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017319 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168)*2 - sqrt(3168)) + -1*sqrt(1782))\/(2*sqrt(11)*-1 + sqrt(11) - ((sqrt(396) - -3*sqrt(396)) + sqrt(396))).\nAnswer: -3*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074885067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/59 (b) 1.86 (c) -18978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.01 (b) 0.4 (c) -5 (d) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 469 + -470. Which is smaller: -32\/37 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43231437 * 3\nAnswer: 129694311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 1 + 2*h**2 - 2 + 9*h. Let d be j(8). Suppose -d*m = 3*p - 29, -5*p - 2*m + 85 = -m. Calculate the greatest common divisor of p and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -9 (c) -70\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 22594.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.079 in -0.1, -5, -3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 38*u**2 + 2*u - 12*u**2 - 4*u**3 - 15 + 20 to k*u**3 + a*u**2 + q + s*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -1581717195?\nAnswer: 1581717195.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-14)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/((sqrt(64) + (-4*sqrt(64) - sqrt(64)) + sqrt(64))\/sqrt(8) - sqrt(8)))\/(sqrt(8) + (-4*sqrt(24))\/sqrt(3)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 68 + 67 = 150 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiigwgigi. Give prob of sequence gg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -25. Let w be (27\/(-6))\/(z\/6). Do 11 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 13*h**2 - h - 8. Let z be a(-13). Suppose s = 5*s + z*b - 95, 0 = 5*s - 4*b - 129. Let i = s + -25. Solve i = x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 + 467.5. Let b = -81 + y. What is the nearest to -14 in -5, 4\/3, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 17*s**2 - 54*s - 75. What is a(12)?\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 19*k = -108. Let q(o) = -56*o**3 - 78*o**2 + 90*o + 10. Let s(m) = 5*m**3 + 7*m**2 - 8*m - 1. Let u(x) = k*q(x) - 68*s(x). Solve u(f) = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 40. Solve q - i = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163 and 30318.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 55, 3\/8, 0.021, 6?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5481, 26, -4 in descending order.\nAnswer: 26, 2, -4, -5481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 18*n + 5. Let l be x(-8). Let v = -22 + l. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = -o, -6*o + 7*o + 10 = -2*q. Let u = 93 + -242\/3. Let i = u - 265\/21. Which is the closest to 0? (a) -2 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1384, -1304, -1260, -1270, -1352, -1524, -1804, -2210?\n\"Answer: -3*w**3 + 101*w - 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c\/c**(3\/8)*c)\/c))\/(c*c**(-6\/5)))\/(c**(-2\/29)\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(-877\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23356, 46890, 70412, 93916, 117396, 140846, 164260?\nAnswer: 187632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) -185 (b) 140 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 433034 (base 6) to base 8\nAnswer: 105516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -410 + 19271\/47. Let y = j + -50\/141. Let t(q) = q**3 + 5*q**2 - 5. Let h be t(-5). What is the third biggest value in h, -2, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 839, -3, 17 in increasing order.\nAnswer: -5, -3, 17, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1979\/5 + -385. Calculate the common denominator of o and -42\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 3*x + (-4*x + 3*x + 3*x)*(2 + 3 - 4))*(10 + 2 - 6).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s + 3*a - 5 = 54*s, 2*s + 4 = 2*a. Put 14, 2, 5, s, 4 in increasing order.\nAnswer: s, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:52 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 52385*n - 1049700.\nAnswer: 5*(n - 20)*(n + 10497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*q + 126, -150859 = -2*m - q. What are the prime factors of m?\nAnswer: 11, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.7 or -0.2?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22654.31 - 0.2.\nAnswer: -22654.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 137 = -17. Suppose -i = -4*f + n, 2*i + 2*f + 3 = f. What is the smallest value in i, 0, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 20*s**2 + 89*s - 4. Suppose 4*k + 0*k = 48. Calculate the remainder when g(-4) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 7 + (-6 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b - 2. Let v be u(-5). Let h(r) = v - 73 - 5*r. Let c(a) be the first derivative of -a**2\/2 + 1. Determine h(c(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, 10384, 11 in decreasing order.\nAnswer: 10384, 23, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, v: 2}. Give prob of picking 3 c and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-33))\/(60\/9)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 20 = -a + 5*a, 3*l - 24 = 3*a. Let f = 868 - 11282\/13. What is the closest to a in 4, f, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*319534.83\nAnswer: 31953.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g**3 + g - 4. Let u(v) = 24*v**3 - 3*v + 8. Let m(o) = 9*k(o) + 4*u(o). Let f(b) = -2*b**3 - 2*b - 3. What is 4*f(n) - 3*m(n)?\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/840 + h**5\/20 - 2*h**3\/3 + 2*h**2. Let q(a) be the first derivative of f(a). Find the second derivative of q(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -545939 - -21?\nAnswer: -545918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288*z - z**2 - 1449 - 42*z + 32*z wrt z?\nAnswer: -2*z - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14584994959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 326*u**2 + 218 - 333*u**2 - 105.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-10))\/(-1 - 24\/(-30)). Suppose 4*h + 7 = 3*r - 0, 4 = 2*r - g*h. Suppose -r*t + 531 = -159. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1475 - 8851\/6. Let r = 13\/3 - 9\/2. What is the nearest to y in -4, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173400 + 173409. Let w = -1 - -7. Solve w*p - t = 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlj. What is prob of sequence jjl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -45*t**4\/4 - 125*t**3\/3 + 15*t**2 + 19. Find w such that s(w) = 0.\nAnswer: -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467038 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 80*v**3 - 135*v + 55. Let l(z) = -3 + 5*z - 5 + 6 - 3*z**3. Let o(i) = 55*l(i) + 2*n(i). What is the second derivative of o(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:04 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -444?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 2152203?\nAnswer: -2152200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 32*u**2 + 8*u + 6. What is the remainder when 76 is divided by r(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 182.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1525 and -51\/88450?\nAnswer: 88450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/13*o**2 + 32\/13*o - 24\/13 - 2\/13*o**3 = 0. Calculate o.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 725526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13))*-6 + ((-1*sqrt(143) - sqrt(143))\/sqrt(11))**2)*6.\nAnswer: -36*sqrt(13) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -0.2, 9 in decreasing order.\nAnswer: 9, 0, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68083*d*t**4 - d*t**3 - 801*d*t**2 + 3*d*t - 2*d + 30*t**3 - 45*t**2 - 5*t + 2 wrt t.\nAnswer: -1633992*d*t - 6*d + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcccgcccgcgcggcpc. Give prob of picking 4 g.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238552.\nAnswer: 2, 404819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4 in descending order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 10:09 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8237784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -7*u + 126. Suppose -3*j + u = -j. Let a be j\/(((-14)\/4)\/(-7)). Let t(l) = 6*l - 14. Let g(d) = 2*d - 5. Give a*g(s) - 5*t(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7871? (a) 4 (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9143 - i**3 - 9133 + 18276.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 divided by -113?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-27)\/(d*d\/d**1)**7*(d**(2\/7))**(1\/17)*(d*d**(-1)\/d)**(-2\/67) assuming d is positive.\nAnswer: d**(-116945\/7973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51647971 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -763\/9 + 85. What is the second smallest value in -0.3, -1, c, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -3\/1159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 317344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2150436 and -13\/39424660?\nAnswer: 118273980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 147, -4 in decreasing order.\nAnswer: 147, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 2*v - 61. Let h be ((-2)\/(-6) - -1)*48\/v. Let w = 0.06 - 0.46. Which is the third smallest value? (a) h (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439324 - 355961 = -27*u. What are the prime factors of u?\nAnswer: 5, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7676 (base 9) in base 16?\nAnswer: -161a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*y + 9*u - 24*u, -4*y = 3*u + 22593 - 22569 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133095 and 23817?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-1)\/7 + -2. Which is the nearest to 0.1? (a) y (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -13. Suppose -s - 2*y - 12 = 0, -4*s - 2*y - 3*y = n. Let i be (-4)\/(-5) + s\/6. Put 0.4, 5\/2, i in decreasing order.\nAnswer: 5\/2, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.9987ml in litres?\nAnswer: 0.3419987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -11) + (3 - -3) - -3 - 8 - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - f + 17, 28 = 3*z + 6*f + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 503138334427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1239*-0.5\nAnswer: -619.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 15*j + 6. Is 12 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -7 - -150 - (-14 + 23 + 12).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 36*q - 108. What is the smallest common multiple of 12\/q - 656\/(-36) and (-16)\/(-3) + (-2)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285)\/1482*(-4)\/5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebsssslebsaeb. What is prob of sequence asl?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 26. Suppose 3*d - t = 2*d, 3*t = d - 4. Put d, n, -5 in decreasing order.\nAnswer: d, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -25. Suppose 2*c - q + 2 = -c, 0 = 5*c + 5*q - j. Let x = -0.3 + -1.7. Is c greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 2, 2\/11, 12004, 7 in decreasing order.\nAnswer: 12004, 7, 2, 0.2, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4263 and 15573.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*p - 173, 222 - 67 = 5*j + 5*p. Suppose 110 + j = q. Suppose -5*i + 3*i + 72 = 0. What is the remainder when q is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3 - 45*j**2 - 318*j + 360 = 0.\nAnswer: -6, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 6. Let m be 2\/(j - (-2787)\/927). Suppose -8*c = -5*c - m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 641, 1529, 2773?\nAnswer: 4373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:15 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100011 - -1?\nAnswer: -101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xisixixxspxigg. Give prob of sequence ssp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181448, 181450, 181452, 181454, 181456?\nAnswer: 181458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58485 rounded to 3 dps?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 117 - 8 = 0. Let t = -19 - f. Suppose 13*w = t*w - 7. Sort 4, w, -2 in descending order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*d - d. Let c(k) = 24 - 8*k + 24 + 23 - 97 + 22. Let j(l) = -9*l - 5. What is d*c(u) + 4*j(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let g be m(-2). Let x be (1 - -1)\/((-4)\/(-2)). Let z be (0\/g)\/(0 - x). Sort -0.3, z, -2.\nAnswer: -2, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2803 = 3*o, -4*o + 421 = -2*a + 3223. What is the highest common divisor of 61 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -16, -18, -22, -28, -36, -46?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -54*b**2 - 13*b + 8. Let x(j) = -164*j**2 - 36*j + 24. Determine 11*t(y) - 4*x(y).\nAnswer: 62*y**2 + y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112086\/7 - 16012. Find d such that 0*d**2 + p*d**4 - 4\/7*d + 4\/7*d**3 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2839*p**3*w + 2*p**3 - 2*q**3*w - 2*q**3 + 24*q**2 wrt w?\nAnswer: -2839*p**3 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 36 + 4 = 0. Calculate the common denominator of 434\/(-40) + 3 + q and -51\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 167, 211, 255, 299, 343?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 3. Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 150. Suppose 4*c - 46 = t. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*r + 4*z, -2*z - 28 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 + 25*n**2\/4 + 38*n + 68 = 0. Calculate n.\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.2 + 207.2. Put -1\/4, x, 3 in increasing order.\nAnswer: -1\/4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = h - 3*h, 2*h - 5*g = -24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -160120 (base 7) in base 12?\nAnswer: -16124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1291 + 701 + 190)*(-2*t**3 + t**3 + 0*t**3).\nAnswer: -2182*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - u - 6 + 2*u**2 + 5*u. Let s(q) = 1. Calculate -p(b) - 5*s(b).\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1295373?\nAnswer: -5\/1295373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8002683?\nAnswer: 3, 13, 68399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:15 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 - 208*v + 24. Give q(-20).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*b = -230, 3*w - 5*b = 591 - 251. What is the greatest common divisor of w and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (210\/8)\/((-56)\/(-2592576)). Round u to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00523 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1906576 and -11\/40.\nAnswer: 9532880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2299*k + 9 + 1477*k in the form l + m*k and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 3*a**2 + 2*a**4 + 3415*a - a**3 - 3417*a + a**3 as s + n*a + c*a**4 + l*a**2 + y*a**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -469078, -468922, -468762, -468598, -468430, -468258?\n\"Answer: 2*b**2 + 150*b - 469230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 2*j + 5*j + 20*j to y + r*j and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -82218?\nAnswer: 82214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v - v + 3*v)*(478*v - 1 - 273*v + 1) to g*v + q*v**2 + l and give q.\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005831742 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5459?\nAnswer: 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12729 is divided by 2114?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h + 26. Let g be c(-3). Let o(x) = x**3 + 8*x**2 + 7*x. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k + 1140 = 0. Let i = k + -387. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*u + 4*p - 21, -4*p - 19 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 27. Let h = 13 + y. Is h > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 421*g + 1254. Give t(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 528034.13 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.75.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 12. Let f = j - -9. 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 next term in -570514, -570515, -570514, -570511, -570506, -570499?\nAnswer: -570490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15624227 (base 8) in base 10?\nAnswer: -3614871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/1069 and 55\/8?\nAnswer: 8552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2448189*r**2*z - 52*r*z + 9*r + 146*z + 2 wrt r?\nAnswer: 4896378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k**2 + 37*k**2 + 5*k**3 + 49*k**2.\nAnswer: 5*k**3 + 42*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92798 + -92798.181396. What is h rounded to three decimal places?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9316, 5 in descending order.\nAnswer: 9316, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:26 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:03 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 7*q**2\/2 + 7*q - 1. Let j = -195 + 198. Suppose -j*g + 10 + 5 = 0. Determine x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0, 70, -71, 4, -197 in descending order.\nAnswer: 70, 5, 4, 0, -5, -71, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = 0, -4*u + 2*a + 10 = a - 6 + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Suppose 0 = 6*u - i*u - 28. Let x = u + -6. Put -1, 5, x in decreasing order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5542 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -5*r + 5*y - 16, 4*r + 2*y = 108. Suppose -z - 24 = 3*i - 4*z, -4*i + 3*z - r = 0. What is the third smallest value in 1, i, 0, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -161, -535, -1267, -2477, -4285?\n\"Answer: -20*y**3 + y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-530)\/(-154) + (4 - (-104 - -103)*(-82)\/22)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -224*n**3 + 2*n**2 + 127*n - 76. Is v(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 779 + -360. Suppose -4*n - 2*c + 604 = 0, 36 + x = 3*n + c. What is the greatest common factor of 408 and n?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11220203240 + -10?\nAnswer: 11220203230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 - 2841387*l\/2 + 102289689\/8.\nAnswer: 3*(l - 3788507)*(l - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119917992.\nAnswer: 2, 3, 431, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let w be 2\/6*51*1. Let h(z) = -w*z + 14*z + 7*z. What is c(h(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2*b**3\/3 - 3*b**2\/2 - b - 10171. Let d(s) = -3*s**2 + 5*s + 3. Let l be (-46)\/(-14) - (-2)\/(-7). Give l*d(w) + 5*z(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 12. Let i(b) = -6*b + 11. Let g(v) = 6*i(v) + 5*y(v). Let x be g(0). Let s(z) = -z + 3. Calculate s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -203*j + 419. Let m(t) = -105. Calculate -3*c(p) - 12*m(p).\nAnswer: 609*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17986 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-3 - -6 - 19) - (-4 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*2 - -1. Suppose c*b = -2 - 10. Let a(p) be the second derivative of p**3\/3 + p**2 - p. What is a(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 41. Let l = v + -27. Which is the second smallest value? (a) l (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*r - y, -2*r = -3*r - 4*y - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757 (base 8) in base 15?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-28)*((t\/(t\/t**0*t))\/t)**(-11))**(-3\/4) assuming t is positive.\nAnswer: t**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 1612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + (-5)\/(-10). Let f = u - -2. What is the second derivative of q**5 - 5*q**5 + q**5 - f*q + 0*q**5 wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*297\/(-264)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*s - 8, 12 = -0*s - 3*s. Suppose -98 = -j + k, 3*j - w*k = -0*k + 294. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 822*p**3 + 39407*p**2 wrt p.\nAnswer: 48*p - 4932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/55476 and -143\/71508564.\nAnswer: 71508564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5 + 10. Let l = 484 + -461. Calculate the least common multiple of b and l.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ba3 (base 12) to base 10\nAnswer: -3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z - z + 0*z)*(-4*z**2 - z**2 + 3*z**2) + 3*z**3 - z**3 - 3*z**3)*(1058*z**2 + 840*z**2 - 809*z**2 + (2 - z - 2)*(2*z + 2*z - 2*z)).\nAnswer: -5435*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 11:43 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 69. What is the remainder when 67 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8))**2 + (sqrt(2) - ((2 + sqrt(2) + 3)**2 + sqrt(2))).\nAnswer: -10*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23889 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 8*p**3 + 60*p**2 - 16*p - 80.\nAnswer: -4*(p - 2)**2*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 16. Suppose 4*a + 12*a + 9*a - 10*a = 0. Determine m(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146798149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/17 - 358*k**3\/17 - 12672*k**2\/17 - 72792*k\/17 - 60480\/17 = 0. Calculate k.\nAnswer: -24, -6, -1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - f - 8 = -3*l, -3*l = -2*f + 19. Let w = -0.044 - -19.044. Let x = w + -19.5. What is the second biggest value in l, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31858 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**2 - 150*g + 167. What is a(2)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5*o*o*o**(-5\/4))\/(o**6*o**(-1\/4)*o))\/(((o\/(o\/((o**0\/o)\/o)))\/o)**37)**(-22) assuming o is positive.\nAnswer: o**(-2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, 357, 2\/3, -2\/5, -7, -0.3 in decreasing order.\nAnswer: 357, 2\/3, -0.3, -2\/5, -7, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2331\/105 - 22)*-6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-200)\/(-90) - -5 - (-4)\/(-18). Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = -45*b - 5*w + 20391, -5*b + 3*w = -25461. What are the prime factors of b?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587302 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/66 and -40\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -2665602, 0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 408 - 215. Let w be (-42504)\/(-216) - (0 + (-2)\/9). Suppose -w*h + q*h = -11708. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 4*q - 23, 0 = q - 2*f - 7. Let o(x) = 5*x + 51 - x + x**3 - 2*x**3 - 31 - 26 + 5*x**2. What is o(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:32 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/(y\/y**9))**15 assuming y is positive.\nAnswer: y**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 34491?\nAnswer: 586347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 + 57*l + 380. Give b(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdoqnwonoddv. Give prob of picking 2 d, 1 n, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 1. Let a be c(-1). Let q be 2 - (1 + -2 - a). Suppose 0*k - 3*k + 24 = q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 13?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.187 - -1.813. Which is the fourth biggest value? (a) -3 (b) 0.5 (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let z be s(-3). Let b be (7 + -6 - 2)*(-2)\/1. Solve 7*f = -2*x + b*f - 9, 0 = z*x + 4*f + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211*h**2 + 0*h**3 - 208*h**2 + 1 - 3*h + h**3 + 377*h**2 + 17*h**4 to the form q + f*h + m*h**4 + t*h**3 + n*h**2 and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*n = 578*n - 1057*n - 5720 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000522 to 6 dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.01 - 0.01. Let q be (-11)\/(-10)*(-4)\/(-12). Let t = q - 1\/5. Which is the closest to 1? (a) t (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.5 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r = -70*r + 777. What is the highest common factor of r and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 2. Let u(x) = 2*x + 10. Let b be u(-7). Let z(w) = 3*w - 3. What is b*z(i) - 5*n(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 40. Are -1\/35 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 10*i**2 + 7. Let x(p) = 15*p**2 + 2*p + 1. Let k be x(-1). Let t(a) = a**3 + 3*a**2 - 2. Let v(q) = k*t(q) + 4*b(q). Factor v(o).\nAnswer: -2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w + 42*w + 37*w)*(-11 - 3 + 0) - 2*w + 0*w - 8*w.\nAnswer: -388*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.3. Let v = 2744 - 2740. Put y, -0.4, v in descending order.\nAnswer: v, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*n + 13 - 0, 5*n + 13 = -4*y. Let g(i) = i**2 - 6*i + 4. Let u be g(6). Suppose -3*v = -5 - u. Put -0.4, v, y in increasing order.\nAnswer: y, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 7075 + 6*o**3 - 6012 + 3*o - 3*o**3 + 3*o**2 to x + h*o**2 + y*o**3 + d*o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 47. Let g be c(-17). Suppose 0*k - 2*k - 6 = 0, -g = -y + 5*k. Solve 4*f - 17 = w, 3*w - 5*f + 2*f = -y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59319*a**4 - 588627*a**3 - 679770*a**2 - 249508*a - 30184.\nAnswer: (a - 11)*(39*a + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(7\/2)\/o)\/(((o\/(o*o*((o\/(o**(-11)\/o))\/o)\/o))\/o)\/o))\/(o*o**(-10))**(5\/9) assuming o is positive.\nAnswer: o**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/9 + 1\/9. Let l = -75.715 + -0.485. Let s = 76 + l. What is the smallest value in h, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 17200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (6 + -9 + -16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 48710968*c - 148297400218564.\nAnswer: -4*(c - 6088871)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1327513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 287, 14, -69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0*m**5 + 0*m**3 + 0 + 4*m - 3\/2*m**2 + 0*m**4 - 1\/30*m**6. Differentiate o(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = -3*v. Let r be 52*((-3)\/(-6))\/1. What is the greatest common divisor of r and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 16.1389.\nAnswer: 80.6945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4*(-3439)\/646532.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 48. Let c be l(-16). Suppose c = 43*d - 42*d - 7. Solve -4*z = 4*y - 9*y - d, -4*y = 2*z - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let r(x) = 20*x + 13. Calculate 4*l(a) + r(a).\nAnswer: 16*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, 1791, 1, 0.3, 2\/3.\nAnswer: -17, 0.3, 2\/3, 1, 3, 1791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let a(i) = i. Let v(b) = -11*a(b) - 6*n(b). Let p(x) = 14*x + 24. Let q(y) = y + 2. Let w(z) = -p(z) + 12*q(z). Determine v(w(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-70)*(-5295)\/36712?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40361 + -1.7.\nAnswer: 40359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/((-123)\/(-82))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 - l. Let u = 9 + -13. Let s(b) = 2*b**3 + b**2 - 2*b. Suppose 3*h + 4171 = 2*o + 4163, 3*o = 4*h + 11. Give o*s(k) + u*t(k).\nAnswer: -2*k**3 - 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + q + 20531 = 0, -5*s + q + 102639 = 0. Suppose -5*r - 4*x - s = -1296, 2*r - 4*x + 7670 = 0. Is (r\/12)\/(-7)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(6\/16518) - -2) + -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (-25 - -18) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 19. Let p be -3 - 0 - (9 + -6)\/(-1). Determine w(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-14)*(-6)\/(-10). Let x = -13 + -8. Let r = x - -20. Which is the closest to 0.03? (a) r (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 h, and 1 m when four letters picked without replacement from zmchzmcmchmthmccmc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4267000 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q. Let k(z) be the second derivative of 5*z**3 - 3*z**2\/2 - z + 1131. Determine c(k(a)).\nAnswer: 360*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 100010110101111100?\nAnswer: -100010110101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80))\/sqrt(10))\/(sqrt(324)*-2)*-4.\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -31571*h + 31568*h + 38, 24 = 3*h + 3*i for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6146.2 - 6150.2. Let d = -0.27 - 0.03. What is the closest to 0.2 in d, -3\/2, 6, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*x - 1768*x**3 - 84*x - 486*x**3 - 1075*x**3 + 8*x**2 - 188*x**3 wrt x?\nAnswer: -21102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146.3 - -146.1. What is the second smallest value in g, 0.1, 0.031, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1985\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1852 divided by 4.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/((-155)\/(-20)))\/((-2)\/(-5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. Suppose -s*b + 3 + 3 = 0. Suppose g = -p + 14, b*g + 17 - 79 = 2*p. Calculate the remainder when 70 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16310755.\nAnswer: 5, 73, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**9\/504 - 59*j**7\/210 + j**6\/60 - 7*j**5\/6 + j**4\/12 + j**3 + j**2 + 3*j - 61. Find the third derivative of c(s) wrt s.\nAnswer: -120*s**3 - 1416*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 53 - 45)*(-2 + 2*c + 2)*(-c + 0*c - c) + (0 + 0 - 3*c)*(-2 + c + 2) - c**2 + 4*c**2 - c**2 + (-3*c + 5*c - 3*c)*(-4*c + 4*c - c).\nAnswer: 476*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 204321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 754 - 3154 = -3*h, 5*h = -3*f + 3597. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {q: 5, f: 7, j: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kisssqdis. What is prob of picking 3 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369085 = -32*l + 28589 + 682262. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h**16)**(10\/9) assuming h is positive.\nAnswer: h**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 + 3*l. Calculate k(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b**2 + 2*b - 2. Give h(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111100 - 10100011?\nAnswer: 1111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13280.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Let x = -14 + 7. Let u(a) = -10*a - 3. Let w(p) = 3*p + 1. Let k(h) = j*u(h) + x*w(h). Differentiate k(c) with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 1. Let o(m) = 5*m**3 + 14*m**2 + 2*m - 14. Let h(l) = 3*c(l) - o(l). Let x(f) = 2*f**3 + 6*f**2 + f - 6. Calculate 6*h(d) + 11*x(d).\nAnswer: -8*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -488, 643, 2528, 5167?\n\"Answer: 377*r**2 - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -1\/21, 3, -0.3 in ascending order.\nAnswer: -4\/9, -0.3, -1\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = -5, -5*i - 4*f = 37. Let g = 4 + i. Let y be g\/(-2) + (-5)\/(-50). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*d**5*l - d**4*l**3 + 28*d**3 + 9*d**2*l**2 + d**2 - 218*l**3 wrt d.\nAnswer: 10860*d**2*l - 24*d*l**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709494959, 1418989919, 2128484879, 2837979839, 3547474799, 4256969759?\nAnswer: 4966464719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631 - 625 - ((-4 - -3) + 1 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37972966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 5*b - 3, j + 4*b = -3*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 131 = 5*c + j, -5*c - 117 = -j. Let p = c - -13. Let u = 10 + p. Solve u = g - 6*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578782731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.5 (c) -3\/4 (d) -226 (e) -2\/9 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18297*u. Let b(j) = j. What is i(b(c))?\nAnswer: -18297*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-1 - 0)*1. Suppose -2*k = k - 6. Let u(r) = -r**3 - 3*r**2 - 3*r + 2. Let y(p) = 2*p**2 + 2*p - 1. Determine g*y(i) + k*u(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 7, -5.\nAnswer: -5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1504*o**6 - 810*o**2?\nAnswer: -180480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -4.98. Let t(m) = -3*m**2 - 17. Let r be t(4). Let w be r\/(-50)*2 + -3. What is the third biggest value in n, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 39 - (42 + -17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16\/7 (b) 0.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 1188*k**4 - 2428*k**3 + 10756*k**2 + 2424*k - 9568 = 0.\nAnswer: -4, -1, 1, 2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 60 = -20. Let g(i) be the third derivative of i**5\/20 - i**4\/3 - 4*i**3\/3 + 10*i**2. What is the hundreds digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 40 = m, 3*b + m + 56 = -4*m. Let i = b - -17. Suppose -2*z + 401 = i*o, -z = -5*z - 8. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -63, -97, -135?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-9))\/((-4)\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y. Let i(c) = -79*c - 81*c + 156*c. Give b(i(w)).\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 40, 104, 196, 316, 464?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/39 - (201\/(-39) - 4). Solve 3*o - 6 = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:01 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 34*m + 470 = 0. Solve -14*q + 13*q + m = -5*v, 0 = 2*q - 4*v - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96 + -88)\/((-2)\/(-2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119\/53, -7, -213\/14.\nAnswer: -213\/14, -7, -119\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*h + 10, -5*h - 5 = 2*r + 6. Find the second derivative of 1 + 71*x - 4*x**r + 30*x + 51*x**2 + 8*x**2 wrt x.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f. Let x(r) = f*r + 0 + 8*r - 1 - 7*r. Let t(z) = -z**2 - 3*z + 6. Let c(m) = t(m) + 3*x(m). What is the derivative of c(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 853 and 231506.\nAnswer: 232359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.455288 and -20743.\nAnswer: -20742.544712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-225*(-306)\/401625)\/(4\/(-50))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) -2 (c) 1 (d) -1.94 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -382\/981 + -6\/109. Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - h**2 + 4*h**3 - 2 + 3*h**2 to the form y*h + j + x*h**3 + p*h**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*c - 32*c + 0*c + (-1 + c + 1)*(-2 + 2 + 1).\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-5 + 1) - (-3 - (1 + (7 - 0))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 13*p + 27. Let h be j(11). Let t(y) = 14 + 2*y**2 + 3 - 6*y - h. Is t(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*m - 56330 = -15569, -3*a + 40764 = -m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -45*h**2 - 1792*h + 3580. What is c(2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -918700 rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -7*r**5\/60 - 7*r**4\/24 + 11*r**3\/6 + 838*r**2. Let x(a) = 20*a**2 + 20*a - 32. Determine -17*j(g) - 6*x(g).\nAnswer: -g**2 - g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-31 + (-32 - (-64 - -33)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*h - 238*h + 4. Solve -2*g - 3*l + 2 = 13, -4*l - 24 = -h*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 21*i**2 - 4*i - 43. Calculate the remainder when q(-5) is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1332331*b**2 - 1332331*b**2 + 6 - 7*b**3 to the form a*b**3 + h*b + c + k*b**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158244 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292849971 to the power of 1\/3, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 9. Let f(g) = 6*g + 9. Let b(d) = 4*f(d) - 3*n(d). Differentiate b(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45987689.999377 - 45988580. Let f = d + 890. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43948345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = 3*g. Suppose -2*u = -6*u + 48. Suppose -p + g*p + u = 0. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (0 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 25*t**3 - 19*t**3 + 9*t**3 - 9*t**3.\nAnswer: -46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111591, -112116, -112641?\nAnswer: -113166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 413592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 34, 26, 18, 10, 2?\n\"Answer: -8*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 288\/(-336)*(-2 - 3\/2). Solve -h*o = 2*g, -5*g + 3*g = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976505281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 21710*n + 21708*n + 90 = 0, 85 = -2*q + n for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*a + 20, 23 = 5*p + a - 11 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -41*l**3 - 1. Give i(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(85)\/sqrt(5) - (sqrt(68)*-2)\/sqrt(4)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 41*a - 135. Let j be g(-36). Calculate the highest common divisor of 60 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 106.97582?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*s + 77*s - 12*s - 9114 = 0 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 16*g**2 + 11*g - 19. Give u(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + -3*(2 + (sqrt(72)*-1)**2 - sqrt(72)).\nAnswer: -219 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 46*u - 56. Let c(h) be the first derivative of -2\/3*h**3 + 2*h + 2 + 0*h**2. What is c(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(-2\/5))*p)*p)**(-1\/17)\/(p**0)**(-5\/18))**(5\/18) assuming p is positive.\nAnswer: p**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - p**2 + 4*p**3 + p**3 + p**3 - p**3 - 3 + 4*p**2 to the form k*p**3 + m*p**2 + x + w*p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2753201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c + c + 2 - 14*c**2 + 5*c - c**3 + 0*c**3. Let a be d(-15). Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*m + 2*m - 35.\nAnswer: -2*m - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1101110001110000010?\nAnswer: 1101110001110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*c = 0, -c = -0*c. Suppose o - 99 = 4*m, f = -o - 2*m + 5*m + 98. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -2. Let x be (20\/(-6))\/(w\/(-9)). Suppose x*y - 2 = 3. Let l(g) = -2*g. Determine l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 27. Let d(n) = -n**2 + 14*n + 259. Let z(v) = -d(v) - 7*i(v). Give z(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18305, 36603, 54899, 73193, 91485, 109775, 128063?\nAnswer: 146349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2*g + 2*g)*(-5*g + 4*g + 0*g) + (-3*g**2 - 3*g**2 + 4*g**2)*(-2 + 1 + 2) to the form q + w*g**2 + j*g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i + 34*i + 3*i + 60*i.\nAnswer: 160*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1112 + -0.015800995517\nAnswer: 1111.984199004483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + x + 1. Calculate f(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.45252788 rounded to 1 dp?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(847) + (sqrt(847) - (sqrt(847) + 1 - sqrt(847))) + sqrt(847) + 3))**2 - ((sqrt(847) + 3 - sqrt(847))**2*-1 - (sqrt(847)*1 + 5)).\nAnswer: 2387*sqrt(7) + 137300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842993?\nAnswer: 7, 11, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2156, -4507, -6844, -9161, -11452, -13711?\n\"Answer: n**3 + n**2 - 2361*n + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**8\/56 + 3*z**4\/4 - 23*z**2. Find the second derivative of i(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284321455?\nAnswer: 5, 256864291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-1104)\/126 - (-21)\/(-28)*-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-7)\/(2\/(-10)). Suppose -3*g - 85 - 83 = 0. Let a = r - g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49239728927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 268303841 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242794, 242899, 243004, 243109, 243214, 243319?\nAnswer: 243424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 10*p - 4. Let o be j(11). Solve -t + 3 = o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6079 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239024 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*r + 16 = 0, 6*x - x - 5*r - 5 = 0. Suppose 42 = 5*n - x*n. Calculate the remainder when 4 is divided by n\/9 + 1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -448 divided by -7\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 8, i: 1, r: 7}. What is prob of picking 1 g and 1 r?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2470572 - -12?\nAnswer: 2470584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2*b + 6. Let d be c(-4). Sort -2\/5, -0.2, d in decreasing order.\nAnswer: -0.2, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/(80\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 75\/(-12))*8 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(12).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -54. Suppose f*b - 422 - 148 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 346, 8739.\nAnswer: -2, 346, 8739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d**3 - d - 1. Let l be k(-1). Suppose 5 = 2*w - l. Let c = w - 10. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 14)*(-5*g + 45*g + 15*g + 2) in the form d + y*g and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6017 (base 8) in base 5?\nAnswer: 44322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5)\/k*k*k\/(k**(-2\/13)\/k))**(-15))**(1\/10) assuming k is positive.\nAnswer: k**(-288\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-384)\/10)\/(6\/(-160)). Suppose -5*u + 1146 = -x. Suppose -8*j - u = -10*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/213 (b) 2\/9 (c) 2 (d) 174\/7 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pai when three letters picked without replacement from {p: 3, i: 5, e: 5, a: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 1 (b) 4 (c) 4\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -800650 and 17.\nAnswer: -800633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411538058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 435. Let w = 0 - t. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -93.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 39. Let t be (20\/16)\/r*100. Solve 8*v - 3*v - t = -5*y, 2*y = -5*v + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6028 to 1 dp.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 250047647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/(9\/45). Let m be (-39)\/6 - 1 - (-2)\/q. Are m and -39\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:15 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2. List the prime factors of v(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from wwvvvvwvvvwwvv.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271.6 + -272. Which is the closest to -0.2? (a) 5 (b) 0.1 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 11271108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**3 + 13*i**2 - 3*i - 8. Let j(b) = 3*b**3 + 12*b**2 - 3*b - 7. Let q(m) = 4*f(m) - 5*j(m). Does 3 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 18*v**2 + 62*v - 55. Calculate n(12).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/12 and 114\/627 - (-9266)\/(-64152).\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 2, e: 1, l: 1, p: 1}. Give prob of sequence nypn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 63*h**2 + 46*h + 517. Is v(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.3469 and 0.0863.\nAnswer: -1.32443747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/6 - 5*h**2\/2 - 3*h + 1. Let t(i) be the first derivative of z(i). Determine t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35b (base 13) to base 14\nAnswer: 2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 + 28. Does 14 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 13*q + 37. Determine f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(36)*-2 - (sqrt(144)\/sqrt(4))\/sqrt(9))\/((sqrt(24)\/(sqrt(12)\/sqrt(4)))\/(-1*sqrt(4)*-4)).\nAnswer: 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*j - 2*s, 5*j - 4*j + s + 3 = 0. Suppose 0*a + 14 = j*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 4. Suppose -b*o + 2 = -10. Let j(h) = h**2 - 6*h + 8. Calculate j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u)*(-2 + 0 + 4) + (-3 + 2 - 2)*(-u - u + 3*u) + (6 - 1 - 2 + (1 + 2 - 5)*(0 + 1 + 0) + 1 + 2 - 7)*(-1 + 1 + 3*u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (11 + 0 + 11110\/1010).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297 - 207. Let z be (-53)\/2*(1 + 1). Let q = z + r. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.7 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418477 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**7\/525 - a**6\/100 + a**5\/150 + a**4\/20 - 2*a**3\/15 - a**2\/2 - 2. Let l(i) be the second derivative of z(i). Factor l(j).\nAnswer: 2*(j - 2)*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 14) in base 15?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7952993 divided by -32?\nAnswer: 7952993\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let n = 0.02 - -0.28. Let q = n + -0.1. Which is the second biggest value? (a) 4 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2 + 21*p - 273 with respect to p.\nAnswer: 2*p + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 617*y + 1953. Determine r(189).\nAnswer: -7497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-4)\/12 - 0). Let n be (-1)\/(2 - b\/5). What is the smallest common multiple of n\/25 - (-31)\/5 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*h + 166*h - 91284995. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 63. Let r be 1\/((-2)\/11 - q\/66). Suppose 4 = -j + r, -4*j = 5*n - 721. Calculate the greatest common divisor of n and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/(sqrt(12) + sqrt(108) - sqrt(12))*5)\/(-5*sqrt(28)*1).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677902.2 meters to centimeters.\nAnswer: 67790220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4\/89.\nAnswer: -5, -1, -4\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2 - 1) + -95. Let c = g - -154. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 - 29*x**2 - 9*x - 25. Calculate z(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69\/4*m + 3\/4*m**2 - 18 = 0. What is m?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*w**2 + 1 + 34*w**2 - 7*w + 8*w + 2*w**4 to v*w**3 + x*w + y*w**2 + s + b*w**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:56 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, h: 5}. Give prob of picking 2 i and 2 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*d*h - 52361*a**3*d - 2*a**3*h + 2*a**3 + a**2*d*h + 396*a**2*h + 2962*a**2 - 2*h wrt a.\nAnswer: -12*d*h - 314166*d - 12*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3249, -3263, -3289, -3327, -3377, -3439, -3513?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6074902 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -23. Let g(b) = -13. Let d(k) = k - 12. Let y(j) = 3*d(j) - 2*g(j). Is 11 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/105*-9)\/1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, 2, 26, 70, 140, 242?\n\"Answer: f**3 + f**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qykqykkkqkkkykqkkk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1615756, 1615755, 1615754?\n\"Answer: -g + 1615757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 27*y**2. Suppose 3*w - r = -4*r + 33, w + 4*r - 17 = 0. Let c be (-1220)\/(-180) + 2\/w. Let d(t) = -2 + c - 2*t - 5. What is p(d(u))?\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380974 is divided by 126904.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-9)\/(-2). Let r be (-6)\/(-3)*q\/2. What is the second derivative of 0*y**4 + r*y**4 + y - 2*y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - 7*l**3\/3 - 5*l**2\/2 + l - 6. Let b(f) = 0*f + 4 - f - 16. Let n be b(-6). What is x(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.17, -0.5, 1\/5, 0.4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -4*f, f = 4*q - 19 - 3. Suppose q*g - 31833 = 16773. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-32) + (-34)\/8. Let d = 0.15 - -0.48. Let u = 0.23 - d. What is the biggest value in 2\/11, u, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-648)\/63)\/2)\/((-7)\/((-2156)\/(-660)))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 22*c**2 + 0*c - 6*c**2 - 13*c**2 + 5*c. Let q be m(4). Is (4 - q - -379)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.8 - 51. Let i = -2418 - -2419. Which is the closest to 1? (a) g (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-409450)\/1071600 + 2\/(128\/4)*6\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:08 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-15)\/5)\/(-2). Suppose k = 8*j + 131 - 971. Calculate the remainder when j is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64377, -128380, -192381, -256380?\n\"Answer: l**2 - 64006*l - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 plus 2.9?\nAnswer: 1181.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**2 + 4*d**3 + d**2 + 5*d**4 - 6*d**4 - 9*d + 5*d.\nAnswer: -d*(d - 4)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*h + 1074*h + 12596 = -6609 - 11220 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-154)\/(-14) - 6\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202310 + 1231130?\nAnswer: 2100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 4. Let c = 13 - 1. Let b be (-2)\/(-3) + 28\/c. Calculate n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -2*m**3\/3 - m**2 + m. Let x(z) = 5*z + 3. Suppose 5*i = -4*b - 31, -b + 2 - 12 = 2*i. What is b*u(n) - 3*x(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + -2. Let r(a) = a + 8. Let n be r(m). Let d**2 + 3 + 3*d**3 - 4 - n*d**3 - d + 0 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:01 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 7*m**2 - 16*m + 12. Let y be j(3). Let x be (-20)\/15*(-6)\/(-4). Put x, y, 54 in increasing order.\nAnswer: x, y, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**5 + 4*t**4 - 6*t**3 - t**2 - t - 3. Let j(y) = -7*y**5 - 7*y**4 + 11*y**3 + 2*y**2 + y + 5. Let b(d) = 5*i(d) + 3*j(d). Factor b(h).\nAnswer: -h*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120450813 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (24\/4)\/(18\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*r + 24, -5*d + r = -7 - 11. Solve 5*n - 8 = d*n, -2*q = -2*n + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18244?\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2) + 1482\/19. Suppose s + 2*u - 75 = 0, -5*s = 4*u - h - 286. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145310 to the nearest one thousand.\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200101122 (base 4) to base 14.\nAnswer: -3625c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.4 + 32.6. Let l = -6.20395 + w. Round l to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 14*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -221, 3, -62, 4 in increasing order.\nAnswer: -221, -62, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5305\/11 - -482. Let z = 159\/220 + v. What is the common denominator of z and 83\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -390.1 and -353239.\nAnswer: -353629.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*a**3 - 59*a - 2*a**2 - 413*a**3 + 62*a**3 + 145*a**3 wrt a?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 858?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.004 (c) -10 (d) 3 (e) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.766 + -0.69. 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: What is the third root of 872 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 35 - 1049\/(-50).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-23 - 3) - ((5 - 12) + 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose 57 = n - 3*j, -t*n + 159 = -n - 3*j. What is the remainder when n is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 10*y + 10. Let f be g(-10). Is 10 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 80 = 17*t. Let c be (5 - 0)\/(t\/32). Let j be ((25\/c)\/1)\/5. What is the second smallest value in -1\/7, j, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51678, -206696, -465058, -826764?\nAnswer: -1291814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose q*s + 9 = -1. Let u = 7 + s. Which is smaller: u or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Suppose 5*r - r - 8 = k. Let y be (-91)\/(-21) + r\/(-6). What is the biggest value in y, 2, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -115*f**2 + 10122*f - 253. Determine z(88).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*y - 2, 0*y - 8 = -4*w + 2*y. Suppose 228 = -8*s + 36. Let o be (-4)\/(26 - 2) + (-100)\/s. Solve -3*a + 12 - 2 = o*n, 5*a + 2*n = -w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0247 * -0.13\nAnswer: 0.003211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 33*w + 43*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9600890 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0+-1139.589544567\nAnswer: -1139.589544567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*y + 187. Suppose -140*b = -y*b - 560. Calculate the greatest common factor of b and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 j, and 1 s when four letters picked without replacement from {s: 1, u: 2, o: 1, j: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 = -5*f, f = 4*f + 4*l + 23. Let b be 2 + ((-900)\/(-56))\/f. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8181 - -8192. Calculate the remainder when 7873 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1034 + 1213. Solve v*l = 186*l - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 5*t + 4*t. Let n be -16 + (-238)\/(-51)*3. Let v(a) = -a**2 + 9*a. Determine n*v(z) + 9*b(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 5. Suppose h + j = -j + 6, -3*j - 30 = -i*h. Let f(t) = t + t - 3 + 0. Let o(w) = -9*w + 13. Give h*o(q) + 26*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.9. Let r be (-6)\/63*3 - 104\/(-560). Which is greater: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:42 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.079466 and 0.4.\nAnswer: -0.0317864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 12) to base 2\nAnswer: 10010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -2*n - 1, -9*i = 45. Let y(z) = -3*z + 30. Give y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 12708*w**2 + 25410*w + 12704.\nAnswer: 2*(w + 1)**2*(w + 6352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose -l + 33*n + 14 = 38*n, -5*n + 18 = 2*l. Solve b*o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -68*q + 5. Let a(h) = 1. Let n be (-16 + 31)*(-1)\/3. Let v(o) = n*a(o) + i(o). Let y(c) = -3*c**2. Determine y(v(f)).\nAnswer: -13872*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 90*q - 178.\nAnswer: -(q + 2)*(q + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7448 (base 10) to base 8\nAnswer: -16430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 1, 3, -1, -3, 32 in ascending order.\nAnswer: -18, -3, -1, 1, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*r = -165, -3*r - 271 = -3*z - 2*z. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23559 is divided by 847?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k + 172 = 0. Suppose -3*p = 2*p - 70. Is 11 a factor of (-4)\/p - k\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -94. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + v**3 + 0*v**3)*(-20*v - 14*v + 0*v)*((4 + 0 - 2)*(5 - 1 - 1) - 6 - 26 + 8).\nAnswer: -1836*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgf when three letters picked without replacement from gzgggzvzvgfgf?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 at least as big as -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -870 + 765. Let a = h + 105.000000357. What is a rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 4*h**2 + 22*h**2 + 17*h**2 - h.\nAnswer: 43*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1594.70866315.\nAnswer: -1595.00866315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0. Let t = 45.29 + -45. Let h = 0.09 - t. Sort 0.3, u, h.\nAnswer: u, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05424 and -7.693?\nAnswer: 7.74724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 5, q: 14}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 + 0?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22487 + -17809. What are the prime factors of t?\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - -44. Let f = n - 264. Put -2\/15, 1\/5, f, 20 in descending order.\nAnswer: 20, 1\/5, f, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 2. Let n(v) be the first derivative of v**3\/3 + v**2\/2 + 335. What is n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, -92, 5, -2, 2, 4 in descending order.\nAnswer: 414, 5, 4, 2, -2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30672841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34328034401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 16*b**2 - 12*b - 1. Is n(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8181927 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 3*o = -9*f + 6, 0 = -f - 2*o - 4. Suppose f*t = 9*t - 50283. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 5*f**3\/3 + 3*f**2 + 3*f - 21. Let r(a) = 9*a**2 + 11*a + 5. What is 11*l(g) - 6*r(g)?\nAnswer: g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (1 + sqrt(18)\/sqrt(96))**2 + 2 + sqrt(30)\/sqrt(10) + 4).\nAnswer: -345\/8 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 57*t + 3*t**3 - 79*t + 2*t**3. Let w(j) = -2*j. Calculate w(k(f)).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 10*i + 9*i**4 - 8*i**4 - 2*i - 3*i**5 + 2*i**5 + 0*i**5 + (3*i - 4*i + 6*i)*(2*i**4 + i**4 - i**4).\nAnswer: 10*i**5 + i**4 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2977, -6857, -13321, -22369, -34001?\nAnswer: -48217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -1.4, 4\/5, 0.02, 6\/11, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -638\/17, -4, 21\/4 in decreasing order.\nAnswer: 21\/4, -4, -638\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 23. Let h = 5 + -1. Suppose 9*n - h*n = 50. Calculate the remainder when w is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 10. Let p = -24 - -17. Is r less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 27, -43, 5, 2 in descending order.\nAnswer: 27, 5, 3, 2, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615 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: Rearrange -4*a**4 - 217*a**3 - 1 + 3*a**2 - 5 + 215*a**3 + 2 to the form t*a**2 + d*a**3 + l*a**4 + s + f*a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/15408 and 151\/2584692?\nAnswer: 10338768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*a**4 - 104*a**3 + 76*a**2 - 16*a.\nAnswer: 4*a*(a - 1)**2*(11*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = -0*w. What is the third derivative of -7*b**5 - 7*b**2 + b**w - 3*b**2 wrt b?\nAnswer: -360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 88. Let o be q(9). Let w(n) be the first derivative of o - 2*n + 2*n**2 - 2\/3*n**3. Factor w(u).\nAnswer: -2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 8*j + 111 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*a - 75, -p + 6*a = 5*p - 147133 + 146947 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -r. Calculate the remainder when 28 + (2\/1 - r) is divided by (4 + -13)*(3 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/374 and 115\/26752.\nAnswer: 454784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + 4*(-5 + (-5 + sqrt(891) + sqrt(891) + 1 - (-6*1*sqrt(891) + sqrt(891))))*-4)**2.\nAnswer: -288288*sqrt(11) + 11197156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -8 = s*d - 32. Let b = 279 + -171. What is the greatest common factor of d and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*w**5 - 319*w wrt w.\nAnswer: -4460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31245 - -31245.37756. What is z rounded to 3 dps?\nAnswer: 0.378","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = 10*l + 9*l - 23*l, -3*l = -3*r - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzm when three letters picked without replacement from {b: 6, m: 4, v: 4, z: 2, k: 1}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.55 - -118.65. Let v = f + -121. Which is the closest to 0.2? (a) 5 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/32 = 92.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 + 586. Suppose 2*f = -4*f + z. Suppose 3*l - 4*m = f, m + 4 = 1. Solve -l*u + u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.99973 + 43. What is w rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkqqqkkkkkk. Give prob of picking 1 q and 3 k.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69218 and -22?\nAnswer: -1522796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31631, -31997, -32361, -32723, -33083?\nAnswer: -33441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.5563213 days to weeks.\nAnswer: 0.5080459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1239b + -24?\nAnswer: 12377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 3*z**7\/70 + z**6\/8 - 11*z**5\/20 + 3*z**4\/8 + z**2. Determine w, given that u(w) = 0.\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365945417?\nAnswer: 17, 21526201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 + -5.200107. Round r to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 4*m**2 + 5*m + 3. Let y be h(5). Let w = -22 - -23. Solve a + 23 - 4 = -y*o, -3*o + w = -4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67986 and 612?\nAnswer: 2311524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -120.5. Suppose 2*w + 19 = -3*q, 4*q + 10 + 2 = 0. Which is the third smallest value? (a) w (b) y (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g**4 + g + (-1 + 1 - 2*g**3)*(-4*g + 0*g + 2*g) + (-2 - 6*g**2 + 2)*(-68521 - 237*g**2 + 68521).\nAnswer: 1424*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81801 (base 11) to base 8.\nAnswer: 351204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 44*m**2 + 3*m + 13. Let g(f) = -30*f**2 - 3*f - 13. Calculate -3*g(u) - 2*p(u).\nAnswer: 2*u**2 + 3*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydwood. What is prob of picking 1 y and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 0*a**4 - 2*a**4 + ((3*a**3 + 0*a**2 + 0*a**2)*(0 - 3 + 4) + a**3 - a**3 + a**3)*(-12 + 12 + 3*a) - 2*a**3 - 2*a**4 + 2*a**3.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j + 3. Let u(o) = 4*o - 4. Let p(q) = 4*g(q) + 3*u(q). Let x(r) = -5*r**2. Give x(p(z)).\nAnswer: -80*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.93718 and 90.\nAnswer: 104.93718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47554 - -47515.829. Round z to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*f - 230 + 193, 4*f - 5*l + 50 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -685aa - 8c1?\nAnswer: -6908b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000006 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.84 + -87. Let z = p + 0.1. Let s = -1.05999842 - z. Round s to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1.9, -2 in decreasing order.\nAnswer: 0.3, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 4, q: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 369, 715, 1209, 1845, 2617, 3519?\n\"Answer: -x**3 + 83*x**2 - 50*x + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (0 + -34 - (627 + -646)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1. Let p(r) = -8*r - 20. Let j(z) = -z**3 + 8*z**2 - 3*z - 29. Let f be j(7). What is f*p(l) - 20*g(l)?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {j: 2, h: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130499.\nAnswer: 37, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -34. Suppose -2*s = 5*j + p, 0 = 2*s - 3*j + j - 14. Let m(x) = 19*x**2 + 3 - 16*x**s - 3. Let q(n) = n. Determine q(m(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 4*i**2 - 5*i + 5. Let l(x) = -x**3 - x**2 - x + 1. Let y(n) = -l(n) + p(n). Is y(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*(0 - 12\/8). Let q = 36 + h. Suppose -2*z + q = -6. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -18 - 231\/9 - (-3 - 26\/(-6)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-18 - -104) + (-4 - 1) + (490 - 494)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000861768 to six dps.\nAnswer: 0.000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:44 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -762 + 766.514. Let k = 0.014 - p. Let r = k - -4.49999935. Round r to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 8. Let r be c(7). Is 2\/19 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 1, w: 2, t: 3, j: 3, y: 1}. Give prob of picking 1 y, 2 w, and 1 b.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 40. Let m be (-2)\/(-7) + g\/28. Suppose m = -3*p + 18 + 45. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-67)\/1)\/((-6314)\/(-903) + -7). Let b be (-3752)\/n*(-6)\/(-4). Is 0 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3368958 and 79\/306.\nAnswer: 10106874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1027 + -967. Let t = -0.3 - -0.2. Sort -0.2, t, i in decreasing order.\nAnswer: i, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12)*16*24\/14\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38247 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:04 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -3, 1\/5, -77 in ascending order.\nAnswer: -77, -3, 0.04, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -3. Let r = -5 - s. Let w be (2899991 - -8) + 0 + r. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3228 divided by -79947.\nAnswer: -1076\/26649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814012.\nAnswer: 2, 47, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - 7) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/455 + -18238\/164255. Let y(c) = c**3 + c**2 - 2*c + 1. Let n be y(-2). What is the third smallest value in n, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let d(q) = -44*q + 6. Let m(g) = -12*b(g) + d(g). Let u be m(-4). Suppose -z + u = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1389700792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/42)\/((-134)\/1809)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjc when three letters picked without replacement from jcnnjgj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -11, 2, 238 in descending order.\nAnswer: 238, 2, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + r - 91*r = 6*r + 202, 0 = 4*g - 5*r + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10. Let n(d) = 33. Let p(t) = 10*b(t) + 3*n(t). Let x(s) = -s**2 - 4. Let i(h) = -4*p(h) + x(h). Let r(o) = 31*o**2. Calculate r(i(m)).\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/50263 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -512747.2 take away 41?\nAnswer: -512788.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 5. Let v be z(-9). Let j(a) = a - 1. Let o be j(3). Sort -3, o, v.\nAnswer: v, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 6, -1, -29, -6 in decreasing order.\nAnswer: 6, -1, -6, -29, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(33)\/(4*(sqrt(11)*-2 + sqrt(11))))**2.\nAnswer: -sqrt(3) + 67\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*h = -4112, 0 = 3*h - 8*h - 20. Suppose -3*d = -5073 + j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 23988.\nAnswer: 1\/5997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 64\/6. Let q = p + -7. Suppose n = 9 + 2. What is the remainder when n is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335 + -130. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 122, 136, 156, 182, 214?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 255530*y - 766635 = 0. Calculate y.\nAnswer: -3, 51109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -13. Let c be 2\/s - 14\/6. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2331 - -2299) + (2 - 2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1602 - 1597. Calculate the least common multiple of u and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2150 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1903362*c**3*m**2 - 2*c**2*m**2 - 3*c**2*m - 8589*c**2 + 2*m**2 wrt c.\nAnswer: 11420172*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205357232.\nAnswer: 2, 3, 25111609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -143. What is the biggest value in -0.5, 0.2, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -3a82a20a?\nAnswer: -3a82a207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*g*x**3 - g*x**2 - 6*x**3 - 2*x**2 - 52 wrt x.\nAnswer: -246*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-33)*15\/(-60)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -9617596.\nAnswer: 4808798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -4867\/12387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215.71 - -214. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -745729562*p - 846328384?\nAnswer: -745729562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*i - 172*i = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = k. Let m be 2\/k - 15\/(-6). Let x(r) = r**3 + 20*r**2 - 25*r - 78. Let t be x(-21). Solve -2*j - 14 = 4*h, -j + 3*h + t = m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/25 and -5895.22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*a - 12*a + 5852 = 10*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -23*b**4\/4 - 11*b**3\/3 + 25. Find the third derivative of d(v) wrt v.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100202 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 132*t - 807. Calculate f(-58).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 936*c. Let h(b) = 61*b + 112. Let z(y) = 22*y + 42. Let j(k) = 3*h(k) - 8*z(k). Calculate v(j(x)).\nAnswer: 6552*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 14\/115 (c) -2\/33 (d) 0.06 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 10) in base 8?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -330. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0130543729 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let v(m) = 18 - 6 - 12 - 33*m. Give l(v(j)).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*j - 169*j = -32316 - 8868 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d - 1. Let l be ((-5316)\/8)\/((-6)\/4). Let z = -437 + l. Let q(r) = -7*r + 1. What is z*q(w) + 5*y(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*o + 517 - 567 = 0, 2 = t + 5*o for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9511 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7473, 7471, 7469, 7467, 7465?\n\"Answer: -2*t + 7475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*o = -6, 0 = -5*t - 4*o - 5 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5151.747kg?\nAnswer: 5.151747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0 - (-96)\/(-51). Which is the closest to -3? (a) x (b) -1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 + -1352\/9. Let h(m) = m**2 - 22*m + 16. Let v be h(12). Let t be v\/814 + 18\/99. Which is the closest to t? (a) k (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1\/6 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 - -570. Calculate the remainder when (-266)\/(-10) - k\/(-210) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - ((-2*sqrt(171) - sqrt(171)) + sqrt(171))*3))\/(sqrt(108)\/sqrt(192)))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -29*f**7\/2520 - 61*f**5\/120 - f**4 + f**2 + 14. Let y(r) be the second derivative of h(r). Differentiate y(o) wrt o.\nAnswer: -58*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95*(-274)\/299345*23\/52.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 - c**4)*(c + 4*c - 3*c) - 2*c**5 + 0 + 0 + 0*c**5 + 0*c**5 + 2*c**5 + (0*c**2 - 4*c**2 + 2*c**2)*(16 - 16 - 8*c**3).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202573701?\nAnswer: 7, 171796243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007604 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 30 = 8*w. Suppose -9 = -3*o, -3*o + w = 4*c - 5*c. What are the prime factors of 0 + (1 + 8)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.67 + 26.67. Which is bigger: a or 3\/49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u - 107. Let y be g(14). Let r be (y - -5)\/10 - -9. Solve 5*j = 5*q + 20, -j - 4 = -3*q - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153233101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 70 = -2*c, -d + 17 = -0*d + c. Factor -2*v**2 - 45 - v**2 + d*v + 33.\nAnswer: -3*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/(-25))\/(8\/10) - -2. Which is the closest to -9? (a) -1\/6 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15\/(x\/((x**(-2\/29)\/x)\/x*x))*(x*x**4)**(-6\/19))**(-3\/11) assuming x is positive.\nAnswer: x**(-18765\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2020204 = j + 2020216, 5*g + 3*j - 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6\/73 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5\/3 + 7462*p**4\/3 + 3718*p**3\/3 - 22378*p**2\/3 + 3734*p\/3 + 7460\/3 = 0?\nAnswer: -1865, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27838156 and 12.\nAnswer: 83514468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 477 and 18656.\nAnswer: 167904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5*r + r + (66 - 66 - 47*r)*(3 - 8 - 3).\nAnswer: 379*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvecmmmmvcccck. Give prob of picking 1 c and 1 k.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 526776614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16391, -65519, -147401, -262043, -409451, -589631, -802589?\n\"Answer: -n**3 - 16371*n**2 - 8*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6205*w + 55169. Calculate l(9).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11892 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10.32*0.6\nAnswer: -6.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -13*k**3 - 4*k**2 + 17*k - 162. Let n(w) = 7*w**3 + 2*w**2 - 10*w + 80. Calculate 4*j(r) + 7*n(r).\nAnswer: -3*r**3 - 2*r**2 - 2*r - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 5}. Give prob of picking 1 f and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 17}. Give prob of sequence xb.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.54, -10, -2\/9 in decreasing order.\nAnswer: 2.54, -2\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 49*s - 77*s = -3*h - 12, 14*h = -2*s + 3*s - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/6 - 4*w. Let m(k) = 2 + k**2 - 2. Give r(m(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m + 3*f, 4*m - 16 = -0*f + f. Suppose 3 = -x - 1. Let k = -3 - x. Let w(a) = a + 1. Let v(l) = -2*l - 4. What is k*v(i) + m*w(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -2\/11, 0, 2\/49.\nAnswer: -65, -2\/11, 0, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 989*0.054\nAnswer: 53.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v - 2. What are the prime factors of f(-7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 21. Let h(g) = -2*g + 22. Let d(o) = 3*h(o) - 2*p(o). Let y be d(11). Suppose -y*a = -925 - 189. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 1\/(2\/(-14)). Suppose 14 = k*l - 1. Solve 5*z - l = 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k. Let a be 8\/(-36) - 112\/(-18). Let p(c) = 2*c + k - a + 1. Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 30. Suppose 7*p - a = 8*p. What is the lowest common multiple of 7 and (-5 - -2) + 4 - p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5 (c) 19 (d) -9 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - q - 2*q)*(3*q + 14*q - 8*q)*(4 - 3 + 1) as l + d*q + i*q**2 and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let w be o\/9 - 66\/54. What is the remainder when (15\/(-3))\/(w\/7) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0834 in -2\/7, 5, 2\/61, 8, 1?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + r + 2*r)*(0*r**2 - 3*r**2 + r**2 + (-r + 0*r - r)*(-3*r + 2*r + 3*r)) to the form s*r**3 + t + l*r + k*r**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/5 (b) -0.022 (c) -0.1 (d) -2.82 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1651 = 2*b + 1659, -b - 24 = 3*k for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*l - 14, 4*d - 8*d + 3*l + 9 = 0. Suppose 8 = 5*g - d*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6667 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:53 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38017.5 centuries in months?\nAnswer: 45621000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 32. Solve -f*a - 3 = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135648, 1085476, 3663584, 8684112, 16961200?\n\"Answer: 135690*c**3 - 2*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2 - 4 + 5 - f**2. Let j(g) = -4*g**2 + g + 10. Give -2*j(b) + 7*w(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 6 - 4 - 2 - 2*f**3 - 108*f to the form x*f + h*f**2 + o + i*f**3 and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 38*k - 46 = -43*k - 0, -4*k = 195*m + 2332 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 - -2.8. Let u = -7.29 + -0.01. Let y = 5.3 + u. Which is the second smallest value? (a) 4 (b) -5 (c) y (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.1. Let x(i) = i**3 + 7*i**2 - i - 9. Let s be x(-7). Let f be s\/(-6) - (-33)\/(-45). Which is the biggest value? (a) q (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 12. Let t be 3\/u*(-8)\/(-20). Do t and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + g. Let o(a) = -4*a**3 + 3*a**2 - 3*a - 1. What is -3*d(l) - o(l)?\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 506322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 9*g**2 + 2020*g + 20098. What is m(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 88*k**2 + 403*k + 581. What is l(83)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -237\/11. What is the common denominator of -2 + 142\/18 + 1 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-8)*v))\/(v*v**(2\/29)\/v))**(-47)*(v**1*v*v\/v**(-1\/12))**(-1\/24) assuming v is positive.\nAnswer: v**(-3114353\/8352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2069*h + 1232 = 2069*h + 5*i + 1207, 18*h + 4*i = -52 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/20 + 13*x**5\/10 + 59*x**4 - 13*x**2 - 11*x. What is the second derivative of u(z) wrt z?\nAnswer: -36*z + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2. Let k be z(-6). Let y(h) be the third derivative of 0 + 0*h + 2*h**2 - 1\/24*h**4 - 5\/3*h**3. Determine y(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143997.4892 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5553 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66393 - -54646. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 + 2926 = -16*w + 50*w. Calculate the greatest common factor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/1680 - f**6\/48 - 5*f**5\/16 + 17*f**4\/24 - 18*f**2. Let z(i) be the second derivative of g(i). Factor z(r).\nAnswer: -3*(r + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -4*n - 60, 5*q = 4*n + 174. Suppose 0 = -3*p - 3*r + 45, -4*p + 26 = 5*r - q. Solve p = 3*c - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.39 + 0.39. What is the third smallest value in -24, a, 1\/5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.51599 + -1200.\nAnswer: -1178.48401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 24*z + 82. Let f be t(-3). Solve f = -25*x - 31 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 514 + 473 = 0. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -37*g**3\/6 + 115*g**2\/2 - 10*g + 6. Differentiate w(l) wrt l.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*5\/105)\/(1\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.536736ml to litres.\nAnswer: 0.006536736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.995671516 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, 40, 306, 572, 838?\n\"Answer: 266*x - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfvffvwowvvwfwf. What is prob of sequence wvw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 21. Let y be 6\/(-30) + 2\/s. Suppose -4*v - 36 - 4 = y. Which is smaller: v or -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 462 = -49*g. Suppose 0 = -g*q + 13*q + 4024. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:37 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.809 rounded to two decimal places?\nAnswer: 3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 600358, 600357, 600356?\n\"Answer: -t + 600359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90433023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52687\/3102 + 21 + -38.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -682 - -398. Let j = h + 174. Let p = 115.9 + j. Round p to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, -0.3, 9, 36584.\nAnswer: -528, -0.3, 9, 36584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5 - 189*j - 149*j + 17*j**2 + 24*j**3 - 16*j**4 + 380*j - 128*j + 27*j**2 + 36 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*f**5 - 2*f**4 + 29*f**2 + 47.\nAnswer: -3720*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 - 3*p - 11. Let b be f(8). Let v = b - 128. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2. Let q = -0.029 + -11.471. Let n = q + 12. Which is the third biggest value? (a) -0.3 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t**4 + 2*t)*(-6 - 943*t + 1825*t - 928*t).\nAnswer: -46*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:32 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5018 and 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972, -1414, -1330, -720, 416, 2078?\nAnswer: 4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*u + 305*u - 148*u = 6. Solve -u*t - 9 = 3*h, 4*h - t + 19 = 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 31*v**2 - 39*v + 7. Let x be c(1). Let a(h) = 5*h + 5*h + 13*h. What is a(x)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 2\/59 in ascending order.\nAnswer: -4, 2\/59, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25865 and 4.\nAnswer: -25861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwzwwzw. What is prob of sequence zz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9662*c**2*r**3 - 448*c**2*r**2 - c**2*r + 2*c**2 + 140*c*r**3 + 119*r**2 wrt r.\nAnswer: 57972*c**2 + 840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -7*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44005495349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12b0 + 1?\nAnswer: -12ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115261.\nAnswer: 79, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 147*w**2 + 6*w - 7. Let p = 330 - 329. Does 3 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + (-14)\/(-4). Let o(g) = -5*g + 0*g**2 + 0*g**2 - g**2 - 1 + f*g. Calculate o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 13 - 28 - -7) + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 2*c = -18*f - 72, -130 = -5*f + 5*c. Let b(w) = -3*w - 3 + w + 2. What is the remainder when f is divided by b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210112001002212 (base 3) to base 13.\nAnswer: -24a5749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18234\/120*10\/(-8). Let k = f - -190. Which is the closest to 2\/7? (a) 0.3 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260661015 minus 0.05?\nAnswer: 4260661014.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*83 + -1 + 0. Suppose 1317*l = 1328*l - 946. Let h = l + k. Solve -h*t - t = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93098 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(637) - (3 + sqrt(117))) + -1*(sqrt(13) + 0)**2*5 + -4.\nAnswer: -73 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-155)\/93)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13562 - 13561.3169. Is o at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0, 2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(1\/2)*x)\/((x\/x**6*x*x)\/x))\/((x\/x**(-3\/2))\/x**4))**(5\/18) assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3580994 and 6?\nAnswer: -21485964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiiniiiiini. Give prob of picking 2 i and 2 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 282\/42 + -7 + (-1082)\/(-14).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from ggkgkgg.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = d. Suppose -d*g + 0*b + 2*b = 0, 4 = -g + 2*b. Solve 3*x - g*x - 3*p - 4 = 0, 4*x = 4*p + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456756580 divided by 380?\nAnswer: 1201991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -11*p + 9*p + 3*c - 34, 5*p = 4*c - 14 - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01587 rounded to four decimal places?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46257\/11 - -4205. Which is the second biggest value? (a) w (b) -1 (c) 0.06 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/27 in -5, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380 - 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z + 1. Let n be s(3). Suppose y + n = 5*y. Solve 0 = y*t + 4 - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0638 + 0.063797284. What is a rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*9*822\/(-1233)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160120658873\/1697124 + -12171110\/129. Let k = -3\/1196 + b. Find the common denominator of k and 56\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 23 (b) 1160 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -63 (c) 5 (d) -1885 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2\/5)))\/f)**(-16))**(7\/4) assuming f is positive.\nAnswer: f**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)*s)\/s*s*s)**(-20)*s**(-2\/15)\/(s**(1\/5)*s)*(s\/s**(-4)*s**1)\/(s*s*s**1)**49 assuming s is positive.\nAnswer: s**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2259 = -2*r - 5*h, 5*h = 25. Suppose 0 = d - 0*d - r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -77. Let q be 3*1\/(-3)*(d + 7). Let o = q - -43\/6. Sort -5, o, 4 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o - 2*o)*(832*o**2 - 1586*o**2 + 925*o**2).\nAnswer: -171*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 27*p + 48. Let z(w) = -7*w - 12. Let s(j) = -2*d(j) - 9*z(j). Let q be s(-6). Calculate the highest common divisor of q and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29756 by -4.\nAnswer: 7439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3754*x - 229517 = -75603 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 529\/6 - 87. Which is the nearest to 1\/8? (a) 0.4 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (-7 - (-8)\/336*584). Which is smaller: 892 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -654, -2\/5, -226, -2\/7, 508 in ascending order.\nAnswer: -654, -226, -2\/5, -2\/7, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 18 - 6 = 0. Let o(u) = -u**2 - 3*u - 1. Let b(h) be the third derivative of h**5\/60 + h**4\/12 + h**3\/6 - h**2. Give i*o(p) - 5*b(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -9*l - 5*s + 163074, -652313 = -4*l - 3*s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2041\/3 + 10238\/15. Factor 0 - 7*o**3 - 1\/5*o - d*o**2 - 5*o**4.\nAnswer: -o*(o + 1)*(5*o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -7\/13, 5, -3\/20, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -10. Let p = b + 12. Solve g + 0*g + 11 = -p*c, -4*c - 4 = 2*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 22 - 484*k + 483*k to r*k + p and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 1.2. Which is the third smallest value? (a) g (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384329003 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 797590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5589 + 2804?\nAnswer: -2885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/2? (a) -911 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose 3*g + 25 = f + 4*f, g + 20 = 4*f. Sort f, -2, u in descending order.\nAnswer: f, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 784?\nAnswer: -77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 28*x**3 + 48*x**2 + 16*x - 64 = 0 for x.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40936.\nAnswer: 2, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771754?\nAnswer: 2, 3, 29, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 3*b + 18, -2*b - b = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000714082556 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -101, -5, 18, -29, 4, -8 in decreasing order.\nAnswer: 18, 4, -1, -5, -8, -29, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33*q - 22. Is u(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n + 198*n - 2655 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2650538553.\nAnswer: 3, 13, 67962527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 2\/3*c**4 + 0*c**3 + 0 - 5*c**2 + 1\/105*c**7 - 2*c + 0*c**5 + 0*c**6 - 29\/336*c**8. Find the second derivative of u(s) wrt s.\nAnswer: -580*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*w**2 + 4*d**2*w - 1988*d*w**2 - 776109*d*w + 1231*w**2 wrt w?\nAnswer: -2*d**2 - 3976*d + 2462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86856.\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160017 = -16*q - 16*q + 53103. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/21 and 149\/62005578.\nAnswer: 434039046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -488d?\nAnswer: 4892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ncxuxlxx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(2 + 3 + -3 + 3). Let t = 11 + -6. Which is the closest to 0? (a) -0.01 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - n + 16 - 20 = 0, 36*b - 2*n = -2*n - 2*n + 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.9. Let k = 0.3 + u. Let r = 181\/4 - 45. Which is the smallest value? (a) r (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129675, -11\/4, -1 in descending order.\nAnswer: 129675, -1, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 3:26 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44186 from 0.28.\nAnswer: -44185.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocckoccoonnuooug. Give prob of picking 1 g, 1 n, and 1 c.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703 = -3*y - x, 5*y - 3*x + 2*x - 1177 = 0. What are the prime factors of y?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1099 - 762. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.09859 rounded to 2 decimal places?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1783 - -1784. Is 3\/110 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589479571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/11 - 404*x\/11 - 1970\/11 = 0?\nAnswer: -197, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 11 + -16 + 59\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Suppose 0*h - 15 = u*h. Let o(k) = k**3 + 5*k**2 + 2*k - 3. Let r be o(h). Solve r*w - 5*w - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15 + (196\/20 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27791 - 803*x + 28099 + 807*x.\nAnswer: 4*x + 308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -1\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7\/12*o**3 - 1\/2*o**2 + 1\/12*o**4 - 1 + 3*o + 7\/40*o**5. Let c(m) be the first derivative of n(m). What is x in c(x) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = y + 4*l - 5, -5*y = -2*l - 77. Solve -3*w - 7 = -f, -5*w - 25 = 4*f + y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3 + -2 + 10\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/21)\/((-10)\/(-35)). Suppose 3*v + z*k - 4 = 17, -4*v + 3*k + 28 = 0. What is the remainder when 13 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7))**11*(u*u**(-2\/13))\/(u\/(u\/(u**7*u*u)*u)) assuming u is positive.\nAnswer: u**(-508\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117113159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 17, u: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 33432?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -0.5, 11, -1\/6 in descending order.\nAnswer: 11, -1\/6, -0.5, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3297, -12755, -28379, -50163, -78101?\n\"Answer: c**3 - 3089*c**2 - 198*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 2148?\nAnswer: 36516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -649.\nAnswer: 29\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 2 (c) -6.67 (d) 24.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7439 + 7439 - 2383*i to the form x + l*i and give l.\nAnswer: -2383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 - 1 = 0. Let g(q) = q - q + r*q. Let y(p) = p - 2. Let o(v) = -14*v + 10. Let m(t) = -o(t) - 5*y(t). What is m(g(x))?\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + u**2 - 7*u - 4. Let w(k) be the second derivative of 3*k**5\/20 - k**4\/6 + 4*k**3\/3 + 5*k**2\/2 - 1199*k. What is 4*w(o) + 5*y(o)?\nAnswer: 2*o**3 - 3*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25489\/3692 + (-34)\/221.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let y = t + 3. Suppose 2*m - 4*i - 24 - 30 = 0, -29 = -m + y*i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 2*g - 3*g)*(-29*g - g + 5*g) to the form x + j*g**2 + r*g and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - (-47)\/(15 - 16). Let h(d) = -18*d**2 + 36*d. Let g(c) = c. What is y*g(x) + h(x)?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32a - -20a?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*g + 163*g + 146*g.\nAnswer: 123*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 10 + (0 - 25)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 6, -2, 29, 1, 5 in increasing order.\nAnswer: -2, 1, 5, 6, 29, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/13 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 p, and 1 b when four letters picked without replacement from {p: 2, m: 2, b: 2, a: 4, v: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-20 - (8 - 15))) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 21*v - 105. Let g be a(-12). Let w(j) = 6*j**2 - 8*j + 15. Let i be w(g). What is the highest common factor of 225 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1 - (0 - -3)) + (-2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10764\/(-1326) - 3\/((-102)\/4). Let f(h) = 4*h**2 - h**2 + 7*h - h**2 + 32. Let m be f(a). Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -812806.\nAnswer: 9\/812806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218.66 + 3.34. Let g = 332 - w. Sort -0.4, -1\/6, g in decreasing order.\nAnswer: g, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -489.93 - -490. Put a, -4, 0.5, 0.2 in increasing order.\nAnswer: -4, a, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630542729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(2\/19)\/(k**(-2\/9)*k)**(-30\/11))**(2\/9) assuming k is positive.\nAnswer: k**(140\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1152*f + 11499. Let m be u(-10). Let n(h) = h**3 + 21*h**2 - 7*h - 64. Calculate n(m).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98329585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 0, 0.2, 10.4, 2\/11, -2\/7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjzjbzzbzjj. What is prob of picking 2 b?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.7532538388 - -1\nAnswer: 1.7532538388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t - 3. Let a be z(2). Let d(m) = -m + 12. Let y be d(a). Suppose -2*g = -75 + y. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 smaller than -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (4 - 4)\/5. Suppose -8*u = k*u - 22. Solve 15 = 5*x + u*h, 0*x - 3*x + 4*h - 17 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16994925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -11 - (-8 - (18 - 15))) + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1156, -2442, -3838, -5392, -7152, -9166?\nAnswer: -11482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (1 + 3 - 2)*(-1 + 0 - 1) + 2 - 3 + 2 - 2 - 1 + 1 - 2 - 8 - 32)*(n + 3 - 3).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 795, 1205, 1629, 2073?\nAnswer: 2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1937*i**2*m**3 + 3*i**2*m**2 - i**2 + 1 wrt m?\nAnswer: 11622*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211505, 0.3, 7, 0.1 in ascending order.\nAnswer: 0.1, 0.3, 7, 211505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 2*a. Let x(o) = 2*o**3 - 2*o - 2*o**3 - 3*o**2 + 2*o**3 - 3*o**a. What is x(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f**(3\/2)*(f*f**(-2\/3))\/(f*(f\/((f*f*f**(-2))\/f))\/f*f)*f**(-1\/4)\/(f\/(f**3*f))*f**(2\/3)\/((f*f*f**(-1\/2)*f)\/f) assuming f is positive.\nAnswer: f**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**26\/n))\/((n**(4\/15)\/n)\/n))\/(n*n\/(n*n**(-2)*n*n))**(2\/49) assuming n is positive.\nAnswer: n**(-14926\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154160)\/11045 - 1*-14.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Suppose -5*v + 4*v - 2*g - 3 = 0, 7 = 5*v - g. Let a(u) = 14*u - 3*u + 9*u + v + 4*u. Give m(a(d)).\nAnswer: -1152*d**2 - 96*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-3)*1044\/2784. Let y = 2\/175 + -1579\/350. Which is the nearest to -0.1? (a) 4\/7 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6608*q - 37344 = -18011 + 93003 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + g**3 - 3*g**2\/2 + 4*g. Let m be w(5). Suppose 4*y = 20, y - 65 = -m*u - 0*y. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**3 + 0*k**3 - k**3)*(-1 + 2*k + 1) - k - 8908*k**4 - 7 + 9 + 8905*k**4 - 68*k**3 as v + a*k**2 + x*k**3 + r*k**4 + l*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 78\/12)*-14. Suppose 16*t + 25 = o*t. Put -12, -3, t in decreasing order.\nAnswer: t, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*k - 70*k = 0. Let l(m) be the first derivative of 19 - 5\/2*m**4 - 9\/2*m**2 + k*m + 0*m**3. What is the second derivative of l(y) wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -2246. List the prime factors of j.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.46 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 = 2*c, 5*t - 14 = 3*c - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u)**(24\/11)\/(u\/(u*u**2)*u\/(u*u**6*u)) assuming u is positive.\nAnswer: u**(129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*h**4 - 14*h + 16*h**4 + 6*h**2 - 6*h**2 wrt h?\nAnswer: 456*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 107 = -6*f. Solve 5*j = f, k = j - 6*j + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8*o - 6*o - 2 = 0, -2 = -3*r - 4*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -28*d**2 + 1. Let b be m(2). Let s be b\/(-21) + (-4)\/14. Suppose s*l - 2*l = 15. Solve 31 = l*q + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11560.49l to millilitres.\nAnswer: 11560490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + n = -4*n - 35, 4*n = g - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(-6*x + 30*x + x) + (1 + 0 - 3)*(6*x - x - 3*x))*(5 - x**3 - 5).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + 3*l**4\/4 - 4*l**3\/3 + 61*l**2. Let v be j(-21). Solve 16*r + 7 = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/25 >= 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 1, k: 2, h: 2, b: 1, o: 1}. What is prob of sequence ofkb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahhaaahaahahaaaa. What is prob of picking 2 a?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 562 + -279. Suppose 4*z + 16 = 0, f - 4*z - n = -0*z. What is the tens digit of f\/24 - 4\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2736)*3)**2 + (sqrt(114) + sqrt(114) + -1*sqrt(114))\/sqrt(6) + (0 + sqrt(684) + sqrt(684))**2.\nAnswer: sqrt(19) + 224352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 - l - 6. Let k(c) = 7*c**2 - 2*c - 6. Let o = -8 - -3. Let i(n) = o*k(n) + 6*r(n). Let s be i(-5). Let x(q) = 8*q. Give x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**3 + 10*m**2 + 9*m**2 + 1 - 21*m**2 + m. Let h be w(2). Let u = h - -195. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 118*i - 5. What is the units digit of n(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcccrrlxcxl. What is prob of sequence xrcr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 548, 511, 434, 305, 112?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 73479.8 kilometers?\nAnswer: 73479800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -1\/2 (c) 17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*a - 460 = -7*g, -3*g = 5*a - 310. Let u = 190 + g. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943597872.\nAnswer: 2, 3, 7, 163, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 98 = 5*i, 51 = -2*i + 55. What is the greatest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.3, 1, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*k + 4*k + k to x*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26079? (a) -3 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1813 and 588781?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 18 + 6 = 0. Find z, given that w*z**2 + 4*z**3 + 14 - 4*z + 5*z**2 - 22 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2886*r**5 - 3580*r.\nAnswer: -57720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 4*h**2 - 3*h + 11. Let m be l(0). Solve 15*a - m*a = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 20*f + 6. Let k be p(-19). Suppose -23 = -3*m + k. Let x be ((-48)\/(-10))\/(9\/30). Is x bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 3. Let l(r) = -165*r + 9. Determine 8*j(a) + l(a).\nAnswer: -133*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, 4\/3, 0.1, -0.0608, 11?\nAnswer: -0.0608","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 3*t**2 - 3*t - 2. Suppose o + 5 = -4*z - 2*o, -9 = 3*z - 3*o. Calculate the remainder when 29 is divided by m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6722*u**3 + 20153*u**3 - 14*u**2 - 6725*u**3 - 6703*u**3.\nAnswer: 3*u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009137373 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4) + 0)\/(((-738)\/(-432))\/(-41))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 4. Let r be o(-6). Let f be (r\/(8\/(-26)))\/((-3)\/(-6)). What is the units digit of (0 + -3)*949\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 74 = h + o, -5*h = -4*o - 332. Let n = 137 - h. Let s = 103 - n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 7, a: 2}. Give prob of picking 2 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7048 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 216872 divided by -27109\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.24785 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339633 and 32238?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) 5 (c) 0.5 (d) 0.08 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 3, b: 3, j: 1, d: 1}. What is prob of sequence bkde?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**2 - 4089*j - 4091*j + 4*j**2 + 8180*j + 3 + 4.\nAnswer: -14*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 67. What is n(7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94159907981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -433 and -7775927?\nAnswer: 7775494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125 - 65 - 3104*j**2 - 60 - 1412*j**2 - 4135*j**3 wrt j.\nAnswer: -24810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-441)*2\/(-4)*-1\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6500\/21 at most 309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1968482, 1968489, 1968510, 1968551, 1968618, 1968717?\nAnswer: 1968854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4880)\/(-366)*((-7)\/5)\/(10*7\/420)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002374605 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/15 - 2*z**4\/3 + 12*z**3\/5 + 256*z**2\/15 + 64*z\/3 = 0 for z.\nAnswer: -4, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1729 + -1647. Is t a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148840 and 330.\nAnswer: 4911720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 3787?\nAnswer: 83314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*n = -18, 15*n + 2 = h + 16*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 15 - 17 + 7*s**3 - 3*s**2. Let c be 14 + -8 + 1*-3. Determine b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -8 (c) 61 (d) -0.45 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -153*a**5\/5 - 51*a**2 - 2*a + 42. Find the second derivative of v(p) wrt p.\nAnswer: -1836*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3162 - 483. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.936 + 0.064. Let o = w + -43.7. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-207))\/((-16)\/(-1344))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289953 = 5854*i + 380873 - 108842 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 1 + 4*k**2 + k**2 + k**2 + 0*k**2. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 26 = 25*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35262, -70502, -105742, -140982, -176222?\n\"Answer: -35240*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*v + 867*v**3 + 259*v.\nAnswer: 867*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49500 times -2\nAnswer: -99000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4 - 14 - 4)*(2*s + 0*s - 15*s)*(2 + 2 - 2).\nAnswer: -26*s**2 + 364*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 - 84106\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1481, 2943, 4405, 5867, 7329?\nAnswer: 8791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3665, 3668, 3671, 3674, 3677, 3680?\n\"Answer: 3*i + 3662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 24738, -197 in increasing order.\nAnswer: -197, -3, -1, 24738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10850*c - 140924. What is u(-13)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -101. Suppose -b = -4, a + 34 = -2*t - 4*b. Let p = 43 - t. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:31 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749 + 741.66. Let w = -6.3 - l. Let q = -0.73 + w. Round q to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(-1 + 1). Let v be c\/(-3) + -17 - -1. Let l be 6\/27 + v\/(-9). Put l, -5, -2 in ascending order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177996 and 226590.\nAnswer: 73868340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + (-5)\/((-5)\/(-3)). Suppose k = -5 + o. Sort 2, 4, k in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + 8. Let b = 12 + n. Suppose q = -q - g + 11, b*g + 6 = 0. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 9*u**2 - u - 7. Let b be v(-9). Suppose -4*g = -b*g - 32. Suppose 2*w = 3*a - 16, 0*a + 2*a + 4*w = -g. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.026, 7196, -26?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-12) + (-58199991)\/(-6). Round y to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -226 in decreasing order.\nAnswer: 3, 2, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 6, 2*n - 11 = -5*a. Suppose a = 2*z - 9, -39 = -4*i - 3*z. Let h(q) = 4*q - 5. Give h(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 196380.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 29*y**3 + 5*y**2 + 5*y - 15. Let p(r) = -32*r**3 - 6*r**2 - 6*r + 15. Let c(u) = -11*h(u) - 10*p(u). Calculate c(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + c + 2457 - 22042, -4*p = -3*c - 19565. What are the prime factors of p?\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43195 != 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (2 + 6*(sqrt(432) + 4))**2 + -3).\nAnswer: -48666 - 11232*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68785, -137568, -206345, -275116, -343881, -412640?\nAnswer: -481393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 4*j - 46. Let i be s(31). Let o = 1261 + i. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-10))\/3 + 170\/350. Let j = -0.1048 + -3.8952. Which is the nearest to -3? (a) -3 (b) j (c) 2\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7162, 14297, 21406, 28489, 35546, 42577, 49582?\n\"Answer: -13*b**2 + 7174*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, s: 4, n: 2}. Give prob of sequence ns.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 3*n**5\/20 + 7*n**4\/12 - 2*n**3\/3 - 3*n**2\/2 - 59*n - 27. Let d(t) = -3*t**3 - 8*t**2 + 5*t + 4. What is -4*d(r) - 5*y(r)?\nAnswer: -3*r**3 - 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5301\/8 or -664?\nAnswer: -5301\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12157*x + 32. Let h be (1 - 18) + 3\/(3 + 0). Let s be z(h). Let n = 1004544 - s. What is n rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*d + 60, -5 - 21 = -2*d + 3*x. Let q(m) = m**3 - 6*m**2 - 2*m + 33. Let v be q(5). Let t = v + d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 41. Calculate the lowest common multiple of w and (-6)\/(-45) + (-638)\/(-165).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-162)*15\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*7\/28*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 31, 50, 87, 148, 239?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -35.6.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 14, 65, 158, 305, 518, 809, 1190?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*h - 7*f**4 - 2*f*h - 18*h - 4 with respect to f.\nAnswer: 4*f**3*h - 28*f**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2*z - 6*z + ((-17*z + 34 - 34)*((2 + 0 + 0)*(-2 + 4 + 0) - 4 + 2 + 1) - z + 1 - 1)*(3 + 1 - 2).\nAnswer: -107*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2500*b**4 - 65*b**3*z + 133*b**2*z + 4*b**2 + b*z + 2*z + 33 wrt b.\nAnswer: 60000*b - 390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (155\/155)\/(2\/(-4)). What is the closest to -3 in q, -1\/3, 0.4, 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 103 + 57. Suppose -95 = -4*j - 8*l + 3*l, -2*j + 46 = 2*l. Calculate the highest common divisor of n and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264101 not equal to 263873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 4*f + 71 - 56)*(-277*f**2 + 196*f**2 - 297*f**2) to the form u*f**2 + o*f + t + q*f**3 and give u.\nAnswer: -5670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9802501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*x + 3*x + 2*x - 14 = 0, 3*v + 48 = -x + 21 + 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*r**2)*(2 + 0 - 3) + 0*r + 0*r + 2*r**2 + (-4 + 4 + 2*r)*(-8*r - 6*r + r) to h + o*r**2 + v*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 33*d + 227. Let m be g(-7). Let h(z) = z + 7 - 9 + 3 + 8. Determine h(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x + 4. Let q be b(3). Let t be -1 + 3 + q + 0. Solve t = -v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9681192s in hours?\nAnswer: 0.000268922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2\/3 + 2594570*q\/3 - 1682948371225\/3 = 0.\nAnswer: 1297285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 16*g - 104, -170*j + 169*j - 26 = -5*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -13*a + 224. Solve -a*m + 57 + 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (-2 - -1)) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/102902 and 37\/253?\nAnswer: 1131922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 49*g**2 - 14*g**2 - 19*g**2 - 13*g**2. Let p(z) = 2 - 2 - 4*z. Calculate n(p(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 12*g + 12. What is the remainder when 3 + -6 + (61 - 1) is divided by f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*h + l - 0, -1 = h - 2*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 159289972 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*f + 416, -3*h + 308 = -0*f - f. Suppose 5*l + l = h. Calculate the remainder when 28 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 64, 149, 268, 421, 608, 829?\n\"Answer: 17*l**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d**3 + 5*d**2 - 2*d. Let g(z) = 32*z**3 + 16*z**2 - 6*z. Suppose 0 = 2*w - 0*w - 0*w - 10. Calculate w*g(v) - 16*o(v).\nAnswer: -16*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 98*b**3 + 4*b**2 + 4. Let v(x) = -99*x**3 - 3*x**2 - 3. Determine -3*l(n) - 4*v(n).\nAnswer: 102*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -72) + -45 + 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/75 and -4\/12885.\nAnswer: 64425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 48078.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 608 + 30789. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 53 = 3*f, 5*f - 7*f + 37 = d. Let p(t) = 41 - 9*t - 8 - 2*t + 10*t. Let k be p(14). What is the greatest common divisor of k and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16*d)**(-8\/3) assuming d is positive.\nAnswer: d**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7439 is divided by 3573?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**3 + 254902 - 31*d**3 - 254900.\nAnswer: -67*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:39 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from vjxoxpjo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - -2 - 7) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**4 + 0 + 1\/10*q**5 - q + 0*q**2 + 1\/30*q**6 + 0*q**3. Solve v(x) = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 9, -1\/5 in increasing order.\nAnswer: -1\/5, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 130*x - 17*x**4 - 60*x - 71*x - 2 to the form m*x + t*x**4 + i*x**3 + d*x**2 + g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26213 is divided by 114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10366 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 5*r - 18. Calculate a(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66758)\/256560 + 176\/1320. Let z = b + 2\/1069. What is the second biggest value in -2\/13, z, -2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-12 + 4 + -1 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.064 and -2643733.\nAnswer: 169198.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18062*g**6*n + 916*g**4*n**2 - 10690*g**2*n - 283*g*n**2 wrt g?\nAnswer: -2167440*g**3*n + 21984*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 6. Let y be (1\/1)\/(44\/(-20) - -3). What is the third biggest value in j, y, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 3280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 51748216.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268731566 to the nearest integer?\nAnswer: 16393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27823 is divided by 772?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z + 155. Let j be y(27). Let h = 225 + j. Solve 5*a + 2*u - 19 = 0, a + h = 5*a - 3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h + 0*h**3 + 2\/5*h**2 + 0 + 1\/5*h**5 - 2\/5*h**4.\nAnswer: h*(h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 16) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 833e - -11?\nAnswer: 8350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**3\/6 + 3*f**2 - 11*f\/2 + 143. Let m(c) = 0. Calculate c.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196962 is divided by 303.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3087 and 22654121?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275376 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 1. Let o be x(0). Which is the nearest to o? (a) -2 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000582353 to 5 dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycccyycc. What is prob of sequence ycyc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o. Let z = 3 - o. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10785944611062122 + -10785943587882813.00000004. Let x = b - 1023179361. Let v = 52 + x. What is v rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a1 + 37?\nAnswer: a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1980\/(-3861) + -1*2\/(-3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1524612.\nAnswer: 1524612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 - 2*a - 1. Let f be j(-2). Suppose -53 = -4*r - z, -r - f*z = 2*r - 51. Put r, 2\/7, -0.3 in descending order.\nAnswer: r, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*g, 0*g + 2*g = 4*j - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 8. Let o = 3 + x. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -128*-1*(-1)\/(-2). Suppose -3*t + t - i + w = 0, -4 = i. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 2*j**2 - 4*j + 1. What is a(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204425 + -2?\nAnswer: 204423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*q - 28, 2*q + 2 = 2*l + 3*l. Suppose -5*v - 771*r + 100 = -766*r, 36 = 2*v + 3*r. What is the least common multiple of 222\/9 + 4\/q and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -11. Let o = -0.3 + 0.2. Let p = -7 + 7.1. What is the nearest to o in 5, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -310789 - 5?\nAnswer: -310794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 115213.6984 to the nearest integer.\nAnswer: 115214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 at most as big as -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 27*l + 51. What is x(-19)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 1. Let b(g) = -53*g**2 + 12*g - 5. What is -b(w) - 5*r(w)?\nAnswer: 53*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - z**2 - 4*z - 3. Suppose -3*g - 16 = -13. Let m be l(g). Let t(s) = -s**2 - s - 1. Let r(y) = 4*y**2 + 2*y + 2. Determine m*t(k) + r(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-15*s + 7*s - 10*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1009559\/75 + -13461. Let u = -3\/25 + p. Put 0.3, u, 7 in descending order.\nAnswer: 7, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 137786, 137670, 137564, 137474, 137406?\n\"Answer: l**3 - l**2 - 120*l + 137906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4\/189, 1527, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*d - 1 - 4, 3*d + 7 = 5*p. Let q(m) = -8 + p*m + 0 + 6 + 1. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x + 4 - 5 + 23*x + 17*x to v + w*x and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*k - 3, -10 - 5 = 5*k. Let u = -3 + f. Suppose 0 = -u*c + 163 - 28. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*w - 81 = -1, 4*x = 5*w - 335. Let r = x - -500. What are the prime factors of r?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 38*y**2 + 40*y**2 + 4 + 46*y**2.\nAnswer: 124*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.779 + -5.679. Sort 5, -2\/19, -27, m in decreasing order.\nAnswer: 5, m, -2\/19, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/3, -1, 1\/3, 395?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 a when four letters picked without replacement from tjbbtay.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -27, -50, -89, -150?\n\"Answer: -r**3 + r**2 - 9*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12589637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-60))\/(2\/(-1))*-1*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0.09. Let v = -0.05 + l. Let s be (-2)\/((2 + -3)*2). Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/6 + -1)*(-16)\/(-12). Suppose 4 = 4*g - h*k - 8, 4*k - 4 = g. Suppose -j - g*j - 36 = n, 2*j - 4 = -5*n. Put -2, j, 0, 2 in decreasing order.\nAnswer: 2, 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 2, k: 6, e: 1, r: 7}. What is prob of sequence ek?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41\/(697\/34) + 10\/(-6). What is the closest to z in -19, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3)\/(-12)*0. Suppose i*c - 5 = -5*c. Suppose -19*v = -5*f - 18*v - 21, 3*v = 3. Put f, -1\/2, c in decreasing order.\nAnswer: c, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35473 is divided by 313.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00950567016261 take away 114?\nAnswer: -114.00950567016261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 2.51. Let h = w + -0.5. What is the second smallest value in h, 0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*m + 152*m + 3*p = -13 - 12, -28*m - 114 = -2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*u. Suppose u*a + 0*a - 231 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -44037.\nAnswer: -44021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(208\/(-182))*(-390)\/140.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 18 = -108 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 26 = 4*r, -z = -3*r + z + 19. Suppose 0 = -4*l + n - 697, r*l + n + 865 = -4*n. What are the prime factors of l*4\/(-8) - 3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161109520 and 5280?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 129*q - 127*q + 25, -3*p + q = -14. Suppose -2*l = 2*n + 8, -n - 2*l = -0*l. Sort n, 0, -5, p in descending order.\nAnswer: p, 0, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1107 + 1106. Which is smaller: 18\/125 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s + 1. Let x(q) be the third derivative of q**6\/120 - q**5\/12 + q**4\/6 + q**3 + 5*q**2. What is 6*f(u) - x(u)?\nAnswer: -u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17550 is divided by 418?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4*i)\/i**(1\/13))\/((i**2*i)\/i)**(-9))\/(((i\/(i*(i*(i\/i**4)\/i)\/i))\/i)**(-22\/3))**(2\/17) assuming i is positive.\nAnswer: i**(5638\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317 + 308. Let h = a + 124. Calculate the greatest common divisor of h and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*q*t**2 - 6*n**2*q + n**2*t**2 + 15*n*t**2 wrt t.\nAnswer: 2*n**2*q*t + 2*n**2*t + 30*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261757423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -310*t - 3735. Give a(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 17381, 0.06, 5\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 7*g**2 + 9*g + 69. Let h be l(-7). Suppose 0 = 2*a - h, 4*b + 2*a = 610 + 1732. List the prime factors of b.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 58 = 3*u - 5*u, 0 = -2*g - 5*u - 46. Let j = g - -18. Let c(q) = 2*q - 6. Let i be c(4). Solve j = 2*b + i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9497.824mg to nanograms.\nAnswer: 9497824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.057 and 17390.2.\nAnswer: 18381.4414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyoyygoggydggg. Give prob of picking 1 g, 2 y, and 1 d.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 8*w**2 - 20*w - 4. Give v(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/132*-4*-2*(-87)\/(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279112 is divided by 359.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 3:13 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uupe when four letters picked without replacement from cnucucceccpcceecenec.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6373299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87484 is divided by 2822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 2*v - 0, -5 = -4*w + 5*v. Which is the closest to -2? (a) 1 (b) 4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*q**2 - 7*q**2 + 4*q**2 - 5*q**2 - q**2 - q**2 + 3*q**2 + 6 - 6 + (6 + 2 - 4)*(2*q**2 - 4*q**2 + q**2).\nAnswer: -81*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1662, 2\/7, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1465534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139, 587, 1343, 2401, 3755, 5399, 7327, 9533?\n\"Answer: -o**3 + 160*o**2 - 25*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240730 divided by 90?\nAnswer: 24897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j*m*n**2 + 39*j*m*n*p**2 + 6*j*m*p - 2*j*m + 3*j*n*p - 7708*m*n**2*p**2 + 2477*m*n*p + n**2*p - p wrt p?\nAnswer: 78*j*m*n - 15416*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:50 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, p: 11}. What is prob of picking 2 p and 2 g?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1414\/85 != 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 390863299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 29*z**2 - 13*z - 2. Let j be t(14). Let x be j\/4 - -16 - 2. Suppose x*y = 14*y + 327. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6724*q + 94486. Calculate d(14).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.11, 1, -1\/6, -2523 in increasing order.\nAnswer: -2523, -1\/6, -0.11, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301110301002 - 112?\nAnswer: -301110301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2155610957 - 2155610710.9999867. Let y = t + -246. What is y rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 plus -5343?\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 2*w**2 + 5*w + (2*w - 4*w**2 - 2*w)*(2 + 3 + 0).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhh when three letters picked without replacement from {v: 3, h: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 2*r**3 - 7*r**3 + 3*r**3. Let v be 4\/(32\/18)*4. Suppose -b + v = -a, 5*b - 43 = 2*a + 2*a. Let y(x) = x**3. Give b*y(w) + 2*o(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*u - 306*u + 17850 + 27718 = 0 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 91. Let m = n + 66. Which is the fourth smallest value? (a) m (b) -5 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 11.\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**3 + 2*v**2 + 0*v - 1\/10*v**5 + 0 - 1\/40*v**6 + 1\/8*v**4. Factor h(k).\nAnswer: -3*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4510542 and -4645.\nAnswer: 4505897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0258 + 1.0258. Let l = 0.7 + -0.6. Which is the biggest value? (a) 0.2 (b) g (c) -0.07 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -580 and -35.\nAnswer: 20300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2536*d**3*p**3 + 29*d**3*p - 22*d**2*p**3 + 954*d**2*p**2 - d*p**3 wrt p?\nAnswer: 15216*d**3 - 132*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313581448 and 1656?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + 1*sqrt(2)) + sqrt(2))**2 + sqrt(32)*2.\nAnswer: 8*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47646584*n**4 + 29458946 wrt n?\nAnswer: -190586336*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 + -222. Let i = 7922\/4605 - -4\/307. Find the common denominator of 9\/27*9 + 13\/d and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r. Let n = 4 + r. Suppose 3*s = -5*f + 112, -n*f + 92 = -0*f + 3*s. Solve z + 4*z - f = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55770 <= -55770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 221*k**2 - 69 + 3251*k**2.\nAnswer: 3472*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 401031 (base 5) in base 13?\nAnswer: 59a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 9. Let s(g) = -g + 2. Let x(l) = 2*q(l) - 11*s(l). Let a(u) = -2*u + 23. Let r be a(10). What is x(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 96, 97, 78, 33, -44, -159, -318?\n\"Answer: -u**3 - u**2 + 25*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + 2*i + 7. Suppose -1 - 3 = u. Let z be (6\/u)\/(4\/8). What are the prime factors of p(z)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 3. What is the lowest common multiple of 3 and h(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4191, -16594, -37265, -66204, -103411, -148886, -202629?\n\"Answer: -4134*i**2 - i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000274402 to 6 dps.\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9634 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826805\/17 at most as big as 460399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxsb. What is prob of picking 1 s and 2 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -69900.05527 to the nearest one hundred.\nAnswer: -69900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21413 and 1786?\nAnswer: 2012822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 1. Let o(k) = 3*k**3 - 2*k**2 + 2*k - 19. What is -2*i(r) - o(r)?\nAnswer: -3*r**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(64\/160).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-30) - (-4)\/(-3). Let m be g\/3 + 32\/(-12). Let a = 18 - m. What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -13 - (117 - 217) - 18\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 9:09 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 56 = -v + 4*l, l = 3. Suppose -3*p + 49 - 16 = 0. What is the highest common factor of v and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s. Let b(a) = 3*a. Let d(m) = 18*b(m) + 4*f(m). Let l(y) = 7*y. Calculate 5*d(o) - 4*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 1, y: 1, w: 3, f: 1, p: 2}. What is prob of picking 1 w and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 199, 4, 3, -4, -71, -1 in increasing order.\nAnswer: -71, -6, -4, -1, 3, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -26115002853\nAnswer: 26115002852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, x: 1, i: 3}. What is prob of sequence xu?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30243715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*90\/27 - -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -286, -3, 38.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111243 + 111247. Let g(k) = k - 4. Let m be g(6). Let u = m - 2. Solve u*t - t - c = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Suppose -9 = 3*g, 0 = -t + 2*t + 2*g + 13. Let r be (-12)\/t - f\/28. Solve 0 = -2*s + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -286 - -289. Let l be 16\/12 + 11\/x. Solve -5*z + 3*m = 25, 0 = l*z - 2*m - 6 + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 252 = 3*k, 2*k + 4*w = 16 + 146. Solve -86 = 3*g - k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-6)\/(-201)) + 1. Let p = c + -35. What is the remainder when 29 is divided by (p\/(-55))\/((-2)\/50)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*y + 3 = -12, 5*y - 6 = -2*l. Let w be (-3)\/(l*1\/(-2)). Let q be (-2)\/(-1 - -4 - w). Sort 4, q, -3.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 123*v - 115*v + 241*v to u*v + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*c**2*d**3*z**3 - c**2*d + 6*c*d**3 + 12*c*d**2 - 2078*c*d*z**3 - 10*c*d*z + 2*c*d - 2 wrt z?\nAnswer: -294*c**2*d**3*z - 12468*c*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -21, -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.4 - -30. What is the nearest to 0.1 in -3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 2. Let r = 5 + -12. Let u(s) = -1 - 6*s + s + 5*s + 3*s + 3*s. Determine r*u(g) + 4*j(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27 + -10.27. Let g = z + 34. Let r = 23.9999912 - g. Round r to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*t + 42 = -7, -2*t = -10. Let r = -23 + p. List the prime factors of r\/(7\/4) + 59.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -129\/2, -9.9, 0?\nAnswer: -129\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f - 3*f. Suppose -f*t + 2*t = 2600. What is t rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:57 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 943497.8 litres in millilitres?\nAnswer: 943497800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*o**2 + 9*o**2 + 1 to the form w*o**2 + u*o + a and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179\/4 - -45. Sort h, 0, 1\/8 in decreasing order.\nAnswer: h, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/7)\/(1\/7). What is the third smallest value in -4, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-40)\/(-144)*198\/(-3)*1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 4*u**5 + 0*u**5 + (0*u**3 - 3*u**3 + u**3)*(2*u**2 + 0 + 0) + 0*u**5 + 6*u**5 - 3*u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 15*c + 10. What is the units digit of (c\/(-8) - -1)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -16, -54, -108?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -4)\/((-3)\/(-90)). Let l = -27 + a. Suppose -t = -3*r + l + 2, -r = -4*t - 20. Sort r, -5, -3 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 3*f**2 - 3*f + 3. Let y(r) = -65*r**3 - 40*r**2 - 40*r + 40. What is 40*a(x) - 3*y(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2580, -2582, -2584, -2586?\nAnswer: -2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(20)\/sqrt(2)) - sqrt(10)) + sqrt(50)\/sqrt(80))\/(sqrt(2) + sqrt(14)\/sqrt(112) - 2*-1*sqrt(2)).\nAnswer: sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*z + 5*b + 133, -4*b + 92 = 4*z. Suppose 0 = 5*y + 25 + z. Let k = 23 + y. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1624393 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2. Let f(w) be the third derivative of w**7\/252 - w**5\/15 - w**3\/6 - 5*w**2 - w. Let c(l) be the third derivative of f(l). What is b(c(a))?\nAnswer: 2800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-2) + (-20 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14*c**3 + 175037176*c - 350074356*c + 175037180*c + 3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (-4 - (-27 + -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4084 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792892 is divided by 1283?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 3*i - 2*r - 67, 0 = 14*i - 2*r - 8. Factor 3*v - 9 - 1\/4*v**i.\nAnswer: -(v - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*x + 22, -92195 = -2*b + x - 92187 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.223237 + 2.2232335. Let g = 4 - 6. Let x = v + g. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.26 * 10.\nAnswer: -72.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = y + 18, -4*y + 25 - 62 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 27 - 7. Let k be (-8)\/(-3)*(-1419)\/(-44). Suppose 0 = -8*j + k + m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-16)\/(-24) - -2*2. What is the closest to -2\/11 in -2\/13, s, 1\/3, 0.6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**3 - 6 - 12*y**3 + 9 + y - 5*y**2 + 3*y. Determine t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36656 = -23*o - 21*o + 1932. Is o a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 70\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/1*(8 - (-135)\/(-18)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4 - 3*v + 3 + 1. Let y(z) = -4*z. Let d(k) = -3*k**2 - 3*k**3 + 0*k + k + 4*k**3. Let i be d(3). What is i*t(u) - 2*y(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + 3*sqrt(150))\/sqrt(5))\/(2*sqrt(150) - sqrt(150)) + 5.\nAnswer: 4*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/((-1)\/5). What is the lowest common multiple of (32\/(-10))\/(1\/l) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3784 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352810 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*i - 21 + 21)*(-1 + 3 - 4 + (0 + 3 - 7)*(-1 + 1 + 1) - 5 + 1 + 3 - 2 + 4 - 1).\nAnswer: -162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 50*a**2 - 93*a + 166. Give m(2).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/5 + 1722*g**4\/5 + 12774*g**3 - 201962*g**2\/5 + 205416*g\/5 - 69048\/5 = 0.\nAnswer: -822, -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -10.4. Which is the second smallest value? (a) g (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.587892 grams?\nAnswer: 5587892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005219466 rounded to seven dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82897, -82872, -82847, -82822, -82797?\nAnswer: -82772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 7. Let w be 42\/35 + h\/(-5). Suppose 2 = u - w. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 14. Let x be k(-8). Let q(g) = 4*g**2 - 6*g + 2. Let v(t) = 3*t**2 - 5*t + 2. Let j(m) = x*v(m) + 5*q(m). Solve j(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3210 and 642.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 856492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32.016. Let k = -0.084 - j. Which is smaller: -2\/51 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 2. Let g be a(4). Let v(f) = -3*f - 24. Let u be v(0). Let s = 49\/2 + u. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -32. Let r = g + -22. Let z = 6 + r. Calculate the greatest common factor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/5 + 176*s + 7296\/5 = 0. Calculate s.\nAnswer: -8, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*o - 172, -o - 151 = -5*m + 2*o. What is the smallest common multiple of 20 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1019 - 1018. Solve -p = -y - 3*y + 7, -p + y - w = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*((sqrt(3744) - -1*sqrt(3744) - sqrt(3744) - sqrt(3744)) + sqrt(3744) + sqrt(3744)))\/(((sqrt(18) - -6*sqrt(288)) + sqrt(18))\/sqrt(9)*-1).\nAnswer: -360*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 31 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1923\/11 + -175. Let m = 1791073\/11 + -163052. Let v = -227 - m. What is the third biggest value in q, 0, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294876339.\nAnswer: 3, 17, 5781889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = i + 5, 2*i - 3 + 7 = d. Let h(p) = -6*p + 2. Let x be h(i). What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4484676, -4484680, -4484684?\nAnswer: -4484688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than or equal to 6330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -486 - -2432\/5. Is w >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + -4. Let a be 11\/30 + 18\/m. Suppose 2*o - 5*g = -7, 5*g + 2 = -3*o + 4*g. Is o greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + sqrt(2) + sqrt(8)*-5 + 2).\nAnswer: -6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 730*d**2*i*u**2 - 880295*d**2*i*u + 2*d*i - 15*d*u**2 - 24*d - 3*i*u + 2*i + 26*u**2 wrt d.\nAnswer: 1460*i*u**2 - 1760590*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2)*16\/12. Suppose 18 = -5*q + 2*b, -7*q + 8*q - 3*b + 1 = 0. Sort 2, q, d in decreasing order.\nAnswer: d, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234877891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/52216 and 65\/1712.\nAnswer: 104432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -74. Let z = -18 + u. Let q = 3\/3796 + 943\/7592. What is the nearest to -1 in q, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 763382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, z: 8, s: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((sqrt(648)*2 - sqrt(648))**2 - sqrt(648)).\nAnswer: -72*sqrt(2) + 2594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 65*s**6 + 6*s**5 + 6*s**4 - 29*s**2 + 6. Let z(p) = p**6 - p**5 - p**4 - 1. Let b(g) = h(g) + 6*z(g). Find the third derivative of b(k) wrt k.\nAnswer: 8520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4672925 weeks in nanoseconds?\nAnswer: 282618504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*t - 3*g + 1, -2 = -3*t + g. Solve -t*l + 7 = -5*l - z, 0 = -4*l - z - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 11)*(3 + -2). Let y = 647 + -639. Is s > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 i, and 1 y when four letters picked without replacement from nnnyfbibabiai.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8853 + -8852.99991538. Round j to six decimal places.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = -k, -5*m + 28 - 8 = -k. Suppose 28*s - 32*s + 16 = 0. Solve -2*d + s*d - m = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4622614 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 55117 = -8639. Round a to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 2\/21, -1\/7, 2, -23, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-24)\/(-16))\/((-15)\/121) and 61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*y**4 + 21\/11*y**2 + 8\/11 + 23\/11*y + 5\/11*y**3.\nAnswer: -(y - 8)*(y + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.402 and 1186.6?\nAnswer: 477.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -969, -911, -853, -795, -737, -679?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.1, 78, 1\/4, -0.02, -1 in decreasing order.\nAnswer: 78, 1\/4, 0.2, 0.1, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394 + 394. Suppose 2*t + 161*x - 18 = 164*x, v = 5*t - 5*x - 50. Let l(g) = -g**3 + 5*g**2 + 7*g + 6. What is the least common multiple of t and l(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2)*(0*s - 4*s + s) + 205086 - 205086 + 2257*s in the form z*s + u and give z.\nAnswer: 2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1768 by 1329.\nAnswer: -1768\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55829 - -55832. Let u = -13 + 8. Let l = -3 - u. What is the nearest to -1 in c, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 7*s**2 - 17*s**2 + (19 - 5*s - 19)*(0 + 0 + 2*s) + 0*s + 6*s + s**2 - 4*s**2 to the form l*s**2 + r*s + p and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:24 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 3 = 147 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 3. Let c be 10\/55 - 114\/22. Let y(m) = 6*m + 4. Calculate c*d(i) - 4*y(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 173782050 a multiple of 2528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 + 793. Solve -2*m - 2*m = a, s - 1 = -4*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 4*n**5 - 2*n**5 + 9*n**3 + 316*n**2 - 316*n**2 + 5*n**5 + (-4 - n + 4)*(3*n**3 - 3*n**3 + 3*n**4).\nAnswer: 4*n**5 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 12*y - 5 = -11*y, 2*x - 15 = -5*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -17 (c) 2\/5 (d) -1\/10 (e) -1086 (f) 1191\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1424410 (base 6) to base 3.\nAnswer: -11010121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o - 5*p, -14 = -0*o + 5*o - p. Let f(g) be the third derivative of -g**5\/60 - 5*g**4\/24 - g**3\/3 - 3*g**2 - 2. Determine f(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from eoeeyyeyeoeyeeeeyey.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-40)*(-276)\/690.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 1:31 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 571069 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: Product of 0 and 0.44188.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2935244 and 94?\nAnswer: 2935244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1454*t**2 + 724*t + 706*t**2 + 750*t**2. Let f(r) = -r**2. Give g(f(z)).\nAnswer: 2*z**4 - 724*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u**4\/5 + 21271*u**3\/5 + 8072721*u**2\/5 - 1039376*u + 115520 = 0 for u.\nAnswer: -760, 1\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136707149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = 10*h - 9*h, 3*h = 4*n + 27. Which is the second biggest value? (a) -2\/5 (b) 12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 74*n - 12 = -70*n, 0 = -t + 5*n + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/348 and -7\/1508.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-1288) + ((-1)\/(-1) - 5) + 39270\/2156?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -62 in increasing order.\nAnswer: -62, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 + -1.85. Let s = b + 0.69. Let h = s - -0.36. Which is smaller: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -654690, -654683, -654672, -654657, -654638, -654615, -654588?\n\"Answer: 2*b**2 + b - 654693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 not equal to -2\/7709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-16))\/(5\/(-6)). Let p = 3\/5 + q. Let j = -17\/8 + p. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.568 - 180.897472933.\nAnswer: -179.329472933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-45) - 28\/21) + 618\/405\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/55371 and 32\/549?\nAnswer: 10132893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4 + (-1)\/2. Let z be (4 - u)\/(2\/10). Suppose 2*m = -2*s + 70, -z*s - 2*m + 3*m = -175. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*k - k + 30 = 0, -g + 5*k - 6 = 0. Let q be (g\/8)\/((-1)\/2). Suppose 0 = -q*t, -t = -2*i - 3*t + 182. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 20. Let v be q(-5). Solve -20 = 5*l - 4*n, v = 5*l + 4*n + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.036 - -0.036. Sort 0.1, -0.2, t.\nAnswer: t, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 51*s**2 - 58826*s - 32313. Calculate h(1154).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, -2, -5, 2895, -4 in increasing order.\nAnswer: -18, -5, -4, -2, 2, 2895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(-6*p + 3*p + 4*p)*(9*p + 18*p - 24*p)*(3 - 2 + 1).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.97 - -28. Let w = -5\/16 - 3\/16. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2693 + 13464\/5. What is the nearest to -2\/7 in 3, -2\/7, -5, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 11940 = -72021. Let f = -1755 + w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzzfzzvzzzzfz. Give prob of sequence zf.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from {u: 3, a: 1, e: 2, k: 2, n: 2, t: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220275411.\nAnswer: 1220275411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/56)\/(34\/144 - (-21)\/(-189)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114 - -137) + 2 + 3 - -19.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 113 + 93. Suppose 3*z = b*z + 1. Let w = 17\/5 - 63\/20. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/13, -2, -3\/2998, 1, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3122 or -3124?\nAnswer: -3124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3893*a*c**4 - 140*a*c**3 - 12191*a*c + 5*a - 3*c**4 + 20*c**3 - c**2 - 7*c + 16 wrt c?\nAnswer: 93432*a*c - 840*a - 72*c + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209645 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -6 (c) -0.043 (d) 12 (e) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -1.8. Put -3\/2, h, -4, 0 in descending order.\nAnswer: h, 0, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 44*b + 248. What is the tens digit of w(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -3\/25 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + 104\/(-8))\/((-2)\/2). Factor 5\/9*w**l + 0 - 7\/9*w**2 + 2\/9*w.\nAnswer: w*(w - 1)*(5*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5170*a + a**3 - 3*a**3 - 10335*a + 993*a**2 + 5165*a + 1 as v + g*a**3 + j*a**2 + d*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(5\/480). Suppose c = t + 2*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.49465 rounded to 2 dps?\nAnswer: -8.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - w - 3. Let p be g(5). Suppose -7*v - 69 = -405. Suppose p + v = 5*s. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10463, 10462, 10461, 10460, 10459, 10458?\n\"Answer: -s + 10464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19450 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15947*u. Let o(v) = 5*v - 7. Give o(j(r)).\nAnswer: -79735*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281015 and 3573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = -s - 6*x, 0 = -5*s - x - 180. Which is greater: -38 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)*d\/d**(2\/7)*d*((d\/(d**3\/d))\/d)\/d*d*d**27)**(-1\/11) assuming d is positive.\nAnswer: d**(-2043\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 507*s**6 + 1364*s**2?\nAnswer: 60840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 723463715 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.19. Let x = 0.65 - u. What is the biggest value in x, -2\/7, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(3\/11)))\/(i**2*i*i))\/(i**(-5\/6)*i**(2\/7)) assuming i is positive.\nAnswer: i**(-1469\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 526352 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-171) + (-10566075)\/(-457425) + -23?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {d: 1, z: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/4)\/((-1)\/(-4)). Suppose -2*g - 6*z + 5*z - 24 = 0, 0 = 2*g + 2*z + 26. Let u = i - g. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 23 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3650480 and 75\/7574746.\nAnswer: 302989840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-3)\/(-36)). Let m be (-6)\/a + (-4)\/8. Let n = m - -14. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -1*(-1 + 2). Suppose -946 = -2*n - 306. Let k = 324 - n. Solve -k*g = -0*f - w*f, -24 = 5*f + g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -140*q. Let x(v) = -23*v. Give x(a(m)).\nAnswer: 3220*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 6) in base 13?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -387 in decreasing order.\nAnswer: 1, -5, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 1831. What are the prime factors of w(9)?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134417 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11295341 less than -0.10822703?\nAnswer: -11295341.10822703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = 0, 7*c - 2*c = -4*s - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 5*t**2 - 3*t. Let y be p(4). Let j be (9\/(-15))\/((-6)\/30). Let u = j - y. What is the biggest value in -5, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16030 to the nearest 100.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/27)\/(o\/o**5))\/(o**(-1))**(-28) assuming o is positive.\nAnswer: o**(-646\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*u**3*w**2 - 72*u**3*w + u**3 - 123*u*w**2 + 9*u + 1931 wrt w.\nAnswer: -36*u**3*w - 72*u**3 - 246*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670322, 2681288, 6032950, 10725350, 16758530, 24132532, 32847398?\nAnswer: 42903170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/15 in 3, -3, -37, -954?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 110\/33*(-996)\/(-20). Let k = 168 - i. Factor 0 + 2\/3*t**k - 2\/3*t.\nAnswer: 2*t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(125)\/sqrt(80)) + sqrt(25)*-3*3)\/((sqrt(315) - (sqrt(315) + (sqrt(315) + -1*sqrt(315) - sqrt(315))))\/sqrt(7)*4).\nAnswer: -11*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001601805166 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 386.\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, 0.109, -1?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7599 divided by 2533.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20295, 40591, 60887, 81183, 101479?\nAnswer: 121775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 - 115.6. Let f = d - 23.4. What is the biggest value in -6, -4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5.12 (b) 3 (c) 11\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 62*c**2 - 3*c + 142. Let x(k) = 21*k**2 - k + 52. Calculate 4*s(h) - 11*x(h).\nAnswer: 17*h**2 - h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56361949, 56361946, 56361943, 56361940, 56361937?\nAnswer: 56361934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-24)\/(-6)))\/(3\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w = -350. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 18*v + 1. Let b be o(9). Let c(w) = -1 + 10*w**2 + 7*w**2 + 2*w - 7*w**2. Give c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 1 z when three letters picked without replacement from {d: 1, z: 1, b: 1, c: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:20 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655 - 820 = -15*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 1265, -5, 0, -3 in descending order.\nAnswer: 1265, 6, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2899258 or 2\/7?\nAnswer: -2899258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.34 equal to 3\/3344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12896818 to the nearest integer?\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229900 and 754072.\nAnswer: 18851800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13230 + 3?\nAnswer: -13224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1078*d - 1093*d - 75 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15347.8435 - 15337. What is h rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -682 divided by 31?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*t + 81, 0 = -5*z + t - 181 + 538. Suppose 3*s - z = s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**2 + 3*j - 20. Let u(p) = -21*p**2 + 10*p - 62. Let k(d) = 8*s(d) - 3*u(d). Is 74 a factor of k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*k + 7 - 21 = 0, -3*i + k = 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10821 is divided by 267.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -72*t - 2. Let f(n) = -9*n**2. What is f(d(w))?\nAnswer: -46656*w**2 - 2592*w - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -31*o**2 - 835*o - 4591. Give j(-19).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490485158?\nAnswer: 2, 67, 787, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22 - 16*m**3 - 6*m**2 + 7*m + 0*m**3 - 17. Let o(y) = -y**2 + y + 1. Let r(n) = -k(n) + 6*o(n). Calculate r(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62782 at most as big as 62762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1229.293 to zero dps.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -38. What is the third derivative of 13*s**2 + q*s**3 - 3*s**3 + 12*s**5 wrt s?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265645029 to the power of 1\/2, to the nearest integer?\nAnswer: 35576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u + 30. Suppose -25*j + 31*j = -150. Let q be y(j). Which is smaller: q or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + l + 192 = -5*o, 6*o + 41253*l - 228 = 41255*l for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -34*n. Let f(u) = 13*u**2 + 9*u**2 - 55*u**2 + 15*u**2 + 14*u**2. Give f(o(a)).\nAnswer: -4624*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 12450?\nAnswer: 610050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2. Suppose 13*m - 26 = -0. Let p(r) = -5910 - 2*r**m + 5910. Give p(l(j)).\nAnswer: -392*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10339320*-1\nAnswer: 10339320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 89 = -2*g - c, 85 = -3*g - c. Let a = g + 20. List the prime factors of 52 + (-2)\/6*a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.722 and -1.4.\nAnswer: -6.6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + -281. Is (v\/(-3))\/(10\/(-14710)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + t - 171. Let f(v) = 6*v**2 - 2*v + 346. Determine 2*f(n) + 5*z(n).\nAnswer: -3*n**2 + n - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 4*r + 23*r**2 + 32*r**2.\nAnswer: 55*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - l - 36 = -2*q, 5*q + 4*l = 198. Let c = q - 3. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3527382?\nAnswer: -2\/1763691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22035 + 528965\/24. What is the common denominator of 143\/72 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3904 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159361?\nAnswer: 159361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*p = 5*p + 15, 5*u = -2*p - 10. Suppose 0 = -4*h - u*h + 16. Let q = -88969\/3 - -29656. What is the smallest value in -1, h, q, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44311209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 940 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -4110090?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1469942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 310627379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -267725.\nAnswer: -48190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13091 is divided by 6541.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 476249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 + 11*v**2 - 4. Let l(q) = -q - 14. Let y be l(-10). Let x(m) = 2*m**3 + 5*m**2 - 2. What is y*u(n) + 9*x(n)?\nAnswer: -2*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 1. Let m be r(-5). Suppose -m + 17 = 4*o. Solve 1 = 5*f - o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (7 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16) + (-2)\/8*13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 + 28*h**3 - 24*h**2 = 0. What is h?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.024 (b) 0 (c) 6 (d) 506\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.1. Let x(f) = -f**2 + 5*f + 8. Let g be x(6). Suppose 0 = g*c - 4*c + 6. Is c not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 0 - (0 - -3). Let q be 2682\/30 + 3 + -1. Let z = -91 + q. What is the second smallest value in z, -4\/7, n, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073535195 to 7 dps.\nAnswer: 0.0000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose -9*g + 24 = -615. Put -2, g, t in ascending order.\nAnswer: -2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c, c - 3 = 2*u - 0*c. Suppose 2*w = 2*b - 24, -4*b - 3*w + 11 = -9. Suppose -2*s + 6*s = -b. Sort u, -3, s.\nAnswer: u, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13735*f*h**2 - 533859*f - 2*h**2 - 301*h wrt h.\nAnswer: -27470*f*h - 4*h - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54996177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 2*v - 6 = -46*o, 4*o - 4*v = 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 - 2*y + 3. Let h be f(2). Let l be 8\/(-10)*h\/1. What is the greatest common factor of l and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 121 + 234. Let k = o + -69. Sort k, 16, 4 in descending order.\nAnswer: 16, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -751162000 rounded to the nearest 1000000?\nAnswer: -751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1432530 and 67\/260460.\nAnswer: 2865060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 13*h. What is the remainder when l(9) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2)\/(-18 - -9). Suppose -4*u = 4*q - 8*u - 40, q - 3*u = 20. Let s be (-3)\/q - (-2)\/5. Sort a, 1\/5, s in decreasing order.\nAnswer: a, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 32 = 5*n. Let b(q) = q**2 + 7*q - 4. Let g be b(n). Suppose g*k + 4 = -4*i + 80, 2*i + 5*k - 38 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 60*i + 1209. Determine z(76).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**5\/4 + 69*w**4\/4 - 3*w**3\/4 - 297*w**2\/4 + 39*w + 21 = 0 for w.\nAnswer: -2, -1\/3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.394 + -0.434. What is the closest to 1 in 0.4, -28, t, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 697554 and 882.\nAnswer: 34180146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(8 - 1 - 12*a - 3).\nAnswer: 12*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 69 + 389 + 324 - 12*k**3 - 2*k**2.\nAnswer: k**3 - 2*k**2 + 782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(297))\/sqrt(9) + sqrt(33))\/sqrt(11).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 - -3) + 2)*5. Solve -8 = q*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459849 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 5, 15, -33, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = -2*p - 23, -3*h + 42 = 3*p. Solve -1 = -5*o + 5*f - 36, 0 = 5*o + 5*f + h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 + 17 = 0, 2*i - 6 = -5*k. Suppose k = 3*t - 5*r - 5213, -4*t = 3*r - 6912 - 87. What are the prime factors of t?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196195*o - 3 + 10*o**3 + 18*o**3 + 196195*o + 2 - 5*o**2.\nAnswer: 28*o**3 - 5*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2)*0 + 4. Suppose 6*x = -22 - 2. Put x, -2, p in descending order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745.7365 centuries to years.\nAnswer: 74573.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d + 10 + 0*d - 5*d - 4. What is h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 - -180. Suppose -2*m = -5*q - 7633, -3*m - p*q + 11421 = -5*q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 65. Let r(y) = 5*y + 3. Give r(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 8*o + 2. Suppose -2*y - o*y = -196. Calculate the remainder when y is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-45))\/(((-32)\/30)\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 471020 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 105\nAnswer: 23\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z + 4. Let a(d) = d**3 - 4*d**2 - 4*d. Let o be a(5). Give y(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35502 (base 8) to base 11.\nAnswer: -10441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*a = 14, 5*l + 2*a - 30 = -3*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 13*d = 33*d + 5*d - 2950 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -6*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31498 - 5884. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*z**4 + 47*z + 9?\nAnswer: 4020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (30\/40)\/((-2)\/(5\/(-15)*-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 4*d**2 - 223737 - d + 223739.\nAnswer: 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 24 = 9. Suppose -3224 = -b*m - 5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22606 or 22611?\nAnswer: 22606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -30, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**6 + 6*k**5\/5 + 2*k**3\/3 - 9*k**2\/2 - 50. Find the third derivative of m(z) wrt z.\nAnswer: 720*z**2 + 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 21 - 341*q - 10.\nAnswer: -341*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(2\/5)\/l)\/l*l*l\/(l**(-1\/3)\/l)*l*l**(-1\/5)\/l**2)**(2\/49))**26 assuming l is positive.\nAnswer: l**(1196\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzzzzolbzbbolz. What is prob of picking 2 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p + 1 - 3*p + 0 - 18*p to m + y*p and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:50 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-30)*33)\/(4\/122). Let y = -339 + o. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7393 - -7408. Solve 0 = h*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 12. What is i(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.012 - -2.012. Let l be 2 - (-2 + -11 + 12). Which is the biggest value? (a) l (b) 3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -16722, -21 in decreasing order.\nAnswer: 5, -1, -21, -16722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1938, -3.\nAnswer: -3, 5, 1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 1, o: 1, f: 1, w: 2, c: 2}. What is prob of picking 1 c and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 0. Let z = w - -44. Sort z, -1, 3 in decreasing order.\nAnswer: z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102001112 - 22?\nAnswer: -10102001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495016.\nAnswer: 2, 43, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 7. Let l be s(9). Let a(v) = 1 + l*v**3 - v**3 - 3 + 5*v**2. Let r be a(8). What is r rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.293 + -49.607. What is b rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 53837 = 5*o, -2*u + 4*u = 4*o - 43048. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.2, -9, 23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.3, 42, 7\/31?\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 5. Let n be i(4). Let f be (-1)\/(2 - n) - -23. Solve 3*w + 7 - f = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 472, -5, 1 in ascending order.\nAnswer: -5, 1, 5, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0 + 2. Suppose c*n - n - 3 = 0. Suppose 4*b = n*t - 0*b - 2, 4*t + 5*b - 44 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-4)\/(-30) + (-4794)\/1530).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 978, 1386, 1668, 1824, 1854, 1758, 1536?\n\"Answer: -63*z**2 + 597*z + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1295*g - 191*g - 186*g - 351*g - 190*g - 195*g - 186*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11888, 23646, 35404?\nAnswer: 47162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(60)\/(1*sqrt(10))))\/(2*(sqrt(108)\/sqrt(36) + sqrt(12))))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/3 - 8866*p**4 + 92745118*p**3\/3 - 28336294346*p**2\/3 + 28120022040*p - 56116490296\/3 = 0. What is p?\nAnswer: 1, 2, 334, 6481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a - 16. Calculate the highest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 32*p + 6. Let t(z) = 5*z**2 - 32*z - 8. Determine 4*h(m) + 3*t(m).\nAnswer: -m**2 + 32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5862 is divided by 1953.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -12, -174, 2, -5 in descending order.\nAnswer: 2, -2, -3, -5, -12, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705415, -705412, -705409, -705406, -705403, -705400?\nAnswer: -705397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36228, -36255, -36256, -36231?\n\"Answer: 13*v**2 - 66*v - 36175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1139 and -19\/4?\nAnswer: 4556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-5)\/15*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 547\/5?\nAnswer: 547\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) 2\/23 (d) 157 (e) 0.07 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -379, -848, -1505?\n\"Answer: -94*m**2 + m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431015 + -10532?\nAnswer: -441551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154370120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:11 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11 - 16 + 113*t**3 + 182*t**3.\nAnswer: 295*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1583, -3168, -4753, -6338, -7923, -9508?\n\"Answer: -1585*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-36 - -77) - (14 + -3 - (3 - 4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:50 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o - o - 28*o to l + x*o and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/3 - 5)*(-53)\/1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282586819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129695?\nAnswer: 5, 625939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 3031050.\nAnswer: 9093150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17. Let k = 8.2 - x. Which is the closest to -2? (a) 2\/7 (b) -1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2880 divided by 180.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2993.\nAnswer: 32923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g - 0*g + d, -g = -3*d + 7. Which is the closest to 0.3? (a) g (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*y - y**2 + 368*y in the form o*y**2 + q*y + t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18*q\/q**(-2\/67)*q*(q*q**(12\/11))\/(q*q*q*q*q**(1\/2)*q*q))**44 assuming q is positive.\nAnswer: q**(46050\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2970359 millimeters in meters?\nAnswer: 0.0002970359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27433 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6032.53 - -6032.46. Let g = -5 - -2. Which is the closest to -1\/4? (a) z (b) -1\/6 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01073864924 rounded to 7 dps?\nAnswer: -0.0107386","meta":{"dup_signals":{},"source":"numbers__round_number_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: b\"What is the mth term of -1976, -1787, -1274, -275, 1372?\n\"Answer: 27*m**3 - 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -5*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w - 45*w = 127*w + 26*w - 15327 for w.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68774 divided by 17.\nAnswer: 68774\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*((5 + 2*-2*sqrt(13)*6)**2 - (sqrt(1872) + 1 + 1 - (5 + sqrt(1872)*1))**2).\nAnswer: -180096 + 5760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -2\/9 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-18)\/(-189))\/2). Suppose 0 = h*l - 19*l - 5534. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 95. What is the nearest to -1 in 0.4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539280?\nAnswer: 2, 5, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -119*p - 2376. Let m be n(-20). What is the greatest common factor of m and 3944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 20*c - 18. Let y be v(21). Let i = -0.05 + -0.25. Suppose -452*g + 441*g = -66. Put g, y, i in increasing order.\nAnswer: i, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2. Calculate the remainder when v(-5) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 58, 157, 306, 511, 778, 1113?\n\"Answer: g**3 + 16*g**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6372?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*d + 125179 = -20239 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6944152163 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 10. Suppose 5*a = h*a. Sort a, 1, 3 in decreasing order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -5) + 27 - -30\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265261689 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(2401)\/sqrt(7)) + 5 + 1.\nAnswer: sqrt(3)\/7 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l**3 - l**2 + 0 + 0*l + 1\/12*l**4. Let n be d(3). Sort -2, 3, n.\nAnswer: -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) - (-34 - 0). Let r(k) = 160*k - 783. Let t be r(5). Suppose -o = -d + t. Calculate the lowest common multiple of 12 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1728\/(-8))\/24)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 3*b**2 + b**2 + (-18 + 6 - 6)*(2*b + 1 - 1)*(-b - 2*b + b) + (0*b**2 - b**2 - 2*b**2)*(0 + 3 - 2).\nAnswer: 71*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 2. Let m(y) = -y**2 - 5*y + 4. Let c be m(-6). Let f = c - p. Calculate the highest common factor of 96 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*y + 136*y + 190*y + 23*y**2 + 231*y in the form f*y + h + r*y**2 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -89, 9, -2\/11 in increasing order.\nAnswer: -89, -2\/11, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*v, -1 = -c - 5*v + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23654\/5 - 22671\/5. Let m = -196 + b. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122457089.\nAnswer: 883, 138683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 123, 139, 157, 177, 199?\n\"Answer: b**2 + 13*b + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:00 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 2*p**2)*(-2*p + 1 - 1) + p**2 - 2*p**3 - p**2 - 3 + 3 + 2*p**3 + (-2*p**2 - 2*p**2 + 3*p**2)*(-3*p - 2*p + 4*p) + p**3 - 2*p**3 - 5*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 188883745 to the power of 1\/2, to the nearest integer?\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 2670 + 2440 = 3*a + 4*c, 2*a + 2*c + 106 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 30*h - 40. Solve -h = 6*b - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 0 + 5 + (-5 + (sqrt(684)*1 + sqrt(684) - sqrt(684)))**2.\nAnswer: -54*sqrt(19) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -116468, 4, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*a + 8 = -20, a - 2 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3\/4, 0.07, 0.3, 9\/56, -4, 0.295?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1109, -42, -3309, -8686, -16167, -25746, -37417?\nAnswer: -51174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + -4?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.9. Suppose 2 = b - 0. Let a be b\/8 - 15\/156. What is the closest to -6 in r, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392425 (base 10) to base 11.\nAnswer: 248920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 80\/(-75)) + (-2)\/(-4) and 1\/255?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 47. Suppose 3*m - 1 = r, 8*m - 20 = h*m - 2*r. Solve -4 = -m*a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, 0.5, -61, 2, -184 in decreasing order.\nAnswer: 6, 2, 0.5, 0.1, -61, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 878 or -0.2?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25 - -30)*6\/15. Let r(h) = -2*h - 17. Let j(a) = a + 17. Give f*r(s) + 3*j(s).\nAnswer: -s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206397244 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -719 - -8636. Let i be 4\/(-10) + l\/455. Put 1, i, -1 in descending order.\nAnswer: i, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/(12\/(-7110)). Let j = v + -173. Is 37 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 50592*i - 159971904 = 0. What is i?\nAnswer: 6324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.135293 - -54692.864707. Let n = q + -54693.45054. Let u = 0.45 + n. What is u rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p + 3. Let o(n) = -3*n - 1. Let d(r) = -5*o(r) - 2*w(r). What is d(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13966 at least as big as 13615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -1199, -4570, -11273, -22418, -39115, -62474, -93605?\nAnswer: -133618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 + 1 + 2) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 2*c**4 - 5*c**3 + 0*c + 2*c**2 - 2*c**2 - 2*c**2 to i*c**4 + x*c + u + j*c**3 + q*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/9, -0.1, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 638, 1419, 2512, 3917, 5634?\nAnswer: 7663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y + 2. Let b = 3 - 7. Let w be v(b). Suppose -5*i = r - 27, -r = 3*r + 3*i - 23. Calculate the greatest common factor of r and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 - (281 - 271)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -18543*i**4\/4 + 494477*i**3\/2 + 166967*i**2 + 54*i = 0?\nAnswer: -2\/3, -2\/6181, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -2)\/((-10)\/(-145)). What is the hundreds digit of (-26270)\/v - 8\/(-116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 146 + -5?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/100 + 27*f**4\/8 + 68*f**3\/5 + 7*f**2 - 19*f. Factor k(i).\nAnswer: -3*(i - 136)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 29*s**2 - 121*s - 132. Give b(23).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 - 1 = 0. What is the second derivative of -5*v**3 - s*v**4 + 5*v**3 - 3*v + 0*v wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -1 - (11 + -7)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 86?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0853177 + 1.3.\nAnswer: 1.2146823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 12, 0.1, -5, -2\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 27.35. Let t = j + -0.85. Suppose 5*f - 26 = 2*s, 0 = f - 0*f - 5*s - 19. What is the third biggest value in t, f, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112933852 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n - 2*n)*(0*n + 5*n - 2*n) + (3*n - 4*n - n)*(0*n + 3*n - 2*n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Suppose -k*q + 23 = 3. Suppose 224 = 4*y - q*w, y + y = -w + 106. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3 in decreasing order.\nAnswer: 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.4 (c) -1\/6 (d) 1.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:08 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 7*p - 0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.4, -2, -3\/4, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252.78 - 252. What is n rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -f - 61, -j - 2*f = -f - 55. Calculate the greatest common divisor of j and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105832482.755477 + 105832369. Let x = 7.245543 - y. Let w = x + -121. Round w to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-90.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/59 - 128\/295. Let r = 220638 + -220640. Sort -3, o, r, -8 in increasing order.\nAnswer: -8, -3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:18 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 258.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 118 - 322 = 0. Suppose -k = 4*d + 4*w, -d - 29 = 3*w + w. Let f = d + 21. Solve -l - 5*g = 5 + f, 0 = 3*l + 5*g + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m - 44. Suppose m*r = 18*r. Solve -4 = -u - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -17\/4, 4, 33, -1, -60?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s + 77. Let f be p(-6). Let g(b) = -3*b + 6. Give g(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - z - 4*z - 3, -3*q + 4*z = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2137 + 1069 + 10*s + 1068.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -12*m + 55. Do m and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Let g be (-2*4\/8)\/j. Let t(b) = -65*b**3 + 2*b**2 - 2*b + 1. Let u be t(g). What is u rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-585)*-5*(-10)\/(-80).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.2 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 6. Let n be (4\/10)\/(v\/(-15)). Find the common denominator of (-3)\/n*48\/(-99) and 31\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267104 to the nearest one thousand.\nAnswer: -267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 150 - 84*g**3 + 83*g**3 + 0*g as p*g**3 + f + o*g + d*g**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484 by -20.\nAnswer: 121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 4.8 (c) -1\/6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agzpaapzzpypapz. What is prob of picking 1 p and 1 a?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4 - 3. Which is smaller: v or -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 + 11. Let m(u) = u**2 + 2. Let l(j) = 22*m(j) - 4*t(j). Let q(y) = -5*y + 9*y - 4*y + 13*y**2. What is l(q(d))?\nAnswer: 338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 2*s**3\/21 - 6. Factor h(c).\nAnswer: 2*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6 (base 13) in base 14?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575186891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 8*t**2 - 2*t + 9. Let z(m) = -m**2 + 1. Let v(x) = l(x) - 4*z(x). Let r(y) = y**3 + 2*y**2 + y - 3. What is 5*r(p) + 3*v(p)?\nAnswer: -p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47071 or 47097?\nAnswer: 47097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:03 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 27*h + 73. What is the hundreds digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*(611\/26 - 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*y = 10, -4*y + 0*y + 10 = 2*h. Find the second derivative of -2*f + f**4 + h*f**4 - 5*f**4 + 3*f**4 wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 8. Let f(i) = -6*i**3 + i. Let v be f(-1). Put -2, q, v in decreasing order.\nAnswer: v, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 4*l - 3. Let z be i(-2). Let w = z + 2. Solve -w*c + 5*v - 20 = 0, -5*c = -v - 4*v + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.2. Let h = -7.89 - -7.99. Which is the second smallest value? (a) -9 (b) f (c) -0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 131, 150, 209, 326, 519, 806?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let r be g(-3). Let x be (-20)\/(-4) + 0\/r. Put -3, -2\/7, x in ascending order.\nAnswer: -3, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5844 by -6.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 28*g**2 + 27*g - 14. Let x be j(-27). What is the units digit of ((-396)\/(-15))\/(x\/(-35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1618 > -1618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h*i**4 + 4*h*i**3 + 1382*h*i**2 + 13*h*i - 23*i**4 + 571*i**3 + 645 wrt i.\nAnswer: -192*h*i + 24*h - 552*i + 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20298 (base 14) in base 4?\nAnswer: 102320232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 190\/440 + 14\/(-77). What is the closest to 0 in -2\/413, -3, w, 2?\nAnswer: -2\/413","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 + 172. Let o(l) = -l**3 + 16*l**2 + 17*l + 1. Let k be o(17). What is the highest common factor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + -3 + 5. Suppose 2*r = 4*r - 5*i - 25, -b*r = i - 12. What is the first derivative of 0*o + r*o + 0*o + 3*o - 4 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -726*d**3 + 8800*d**2 - 3176*d\/3 + 32.\nAnswer: -2*(d - 12)*(33*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**8)\/g)\/(g**13\/g))\/(g\/(g*g**(-3))*g**(-10)) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -618, 1, 127, 3 in descending order.\nAnswer: 127, 3, 1, 0, -1, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7203, 14401, 21573, 28707, 35791, 42813, 49761, 56623?\n\"Answer: -2*t**3 - t**2 + 7215*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 55. Suppose -p*v - 4*s + 3132 = 0, -1725 = -3*v - 5*s + 628. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 2:17 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.1732018 months?\nAnswer: 0.0018110015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-15) - 1 - -54*(-36)\/486\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 5045786\nAnswer: 15137358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + 2 - 1 - (35 + -43) - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55043231 + -1435?\nAnswer: -55045110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325809327?\nAnswer: 3, 4751, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*h = i + 8, i = -5*h + 20. Let q be ((-13)\/2)\/((-3)\/6). Suppose 3*k - q = -4. Solve i = s - 2 + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -1\/2*h**2 - 29 - 1\/3*h**3 + h. Calculate j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*u - 84 = -35*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/35)\/(40\/(-28))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(121) - (sqrt(121) + sqrt(121)*-2 - sqrt(121))*-6 - (-1*sqrt(121) + sqrt(121))*-2)\/(sqrt(66)\/(sqrt(72)\/(1*sqrt(12)))) + 2.\nAnswer: -11*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*k*m**3 - 160704*k + 727*m**3 wrt m?\nAnswer: -30*k*m**2 + 2181*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) 2\/59 (c) -4 (d) -2 (e) -0.145 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from gjbgljlbljblljj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**5\/8 + 585*s**4\/8 + 8295*s**3 + 48735*s**2\/2 + 16146*s = 0.\nAnswer: -78, -2, -1, 0, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46387850 divided by -635450?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4350*-0.6.\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 11844353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/15*10\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 2*o - 26*o**3 + 1 + 62*o**3 - 1 in the form d*o**3 + x + a*o**2 + l*o and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5650 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -190418\nAnswer: 76167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -4 in increasing order.\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2\/5, -2\/37 in decreasing order.\nAnswer: 2\/5, 2\/11, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 - (253 + -273 - (-2 + -44)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313131480 to the nearest integer?\nAnswer: 17696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 255494196929198?\nAnswer: 255494196929197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6261324337 = -12*r + 2318724337. What is r rounded to the nearest 1000000?\nAnswer: -329000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiibibbbib. What is prob of picking 2 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))**(-41)\/(k*k**(-1\/4))**27*(k**6*k*((k*(((k*k**(1\/3))\/k)\/k)\/k)\/k)\/k)\/(k**1)**(11\/2) assuming k is positive.\nAnswer: k**(-218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11.1907791 nanoseconds?\nAnswer: 0.00000000000012952290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575391?\nAnswer: 7, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-3\/4)*x))\/x*x*x*x**19\/x assuming x is positive.\nAnswer: x**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-28)\/(-3))\/((-58)\/87). Suppose -4*h - 2*r + 982 = 0, h - g*r + 6*r - 218 = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 14. Suppose -6 = 2*d - f. Solve d*c = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168050 by 2.\nAnswer: -84025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let n be i\/(-2) + (-498)\/(-4). Suppose -4*u = u - n. What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + g - 3*g + 338, 4*g = v - 179. Let h be (-16 - -17)*v\/1. Calculate the greatest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.00695.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*t - 14 = 0, -k - k + 5*t = -9. Put 8, k, -2, 3 in descending order.\nAnswer: 8, 3, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(20) + sqrt(20) + sqrt(1620))*2)\/(4*(sqrt(10) + (sqrt(10) - (-3*sqrt(10) + sqrt(10))))))**2.\nAnswer: -55*sqrt(2)\/4 + 921\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**2 - a**2)*(0*a - a - 5*a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(-m**4 - 3*m**2 + 3*m**2) + (-3*m - 2*m + m)*(-m - 2*m**3 + m) + (2*m**2 + 2*m**4 - 2*m**2)*(-3 + 5 - 1).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7\/840 + 7*b**6\/720 + b**5\/40 - 5*b**4\/3 + 13*b. Let m(j) be the third derivative of y(j). Is m(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 - 138. Suppose 0*z = 2*z - 10*z. Let g be k(z). Let h = -56 - g. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*a = -9, -2*v + 1 = -3*v - 5*a. Suppose -4 + 1 = -2*z - 3*m, 2*m = 10. Let l = -3 - z. Solve -l*b + 2*u + v = 0, 2*b = -0*b + u + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 971*w**3 - 35454*w**2.\nAnswer: -w**2*(w + 38)*(w + 933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 12*u - 12. Let x be h(13). Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31955, 127809, 287565, 511223, 798783, 1150245?\nAnswer: 1565609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 849750, 849752, 849754, 849756, 849758?\n\"Answer: 2*b + 849748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*l + 14056 = 28*l + 3122 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 491 = 65*z - 137 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20605, -20606, -20607, -20608, -20609?\nAnswer: -20610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.63 and 54.\nAnswer: 142.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhxxrxpezeehrrr. Give prob of sequence zxh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48568736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -67, -105, -149, -199?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25138, -25135, -25130, -25123, -25114, -25103, -25090?\n\"Answer: u**2 - 25139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4\/9 (c) 439.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5\/2, -0.186, -4\/3?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*l - 67, 4*l = -3*o + 12 + 59. Calculate the remainder when 23 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 - -153. Suppose -2*a - t*a - 196 = -2*m, 4*m - a - 427 = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(-39)*(-12)\/(-26). Which is the biggest value? (a) p (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 11. Calculate the least common multiple of 12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2542 + 214104?\nAnswer: 211232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v)**(-20)*((v*v**22)\/v*v)\/(v*v\/(v**9*v)*v*v) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.9. Let m = -1.85 + -1.17. Let f = m + 0.02. Which is the nearest to j? (a) f (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5564387 divided by -7?\nAnswer: -5564387\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Let b(w) = 2*w**2 + 5*w - 775. Give b(z(c)).\nAnswer: 2*c**2 - 5*c - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -31*q**5\/60 + q**2. Let i(g) = -g - 2*g + 10*g - 8*g. Give a(i(o)).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733409581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1272879 and 2796?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15713938 divided by 1?\nAnswer: 15713938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 379, 2, 0.2?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 390, 8, -3 in increasing order.\nAnswer: -146, -3, 8, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b = 17*b - 108 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 912453 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2674 - -2551 - (2 - 233).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1224\/3213*(-2)\/((-16)\/(-6)). Which is the second biggest value? (a) z (b) -41 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 + 0*x**2)*(6 - 1 + 2).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1695664 * 11.\nAnswer: 18652304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 0, 3*x - 2*x - 2*q - 3 = 0. Let h = 20 - x. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -17 (b) 0.2 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7*2\/(532\/190)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 144.3749772?\nAnswer: -121.3749772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 13. Let n(q) = 13*q**2 + q + 5. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 2}. What is prob of picking 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*32\/(-20). Is (y\/(-6))\/(56\/(-40236)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3842530212 to the nearest integer?\nAnswer: 61988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**3 - 34*a**2 - 8*a + 21. Let n be m(7). Solve 3*r = 5*w - 0*r - n, -5*w - 2*r = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87918 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33016.66 millennia in centuries?\nAnswer: 330166.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**4 + 2564*j**2 - 2 - 2566*j**2 - 2*j - 12*j**4 to the form x*j + z*j**2 + f*j**3 + y + k*j**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 731198736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236072\/3 + 78692. Factor 0 - m*g**5 + 0*g + 16\/3*g**4 - 20\/3*g**3 + 8\/3*g**2.\nAnswer: -4*g**2*(g - 2)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 3*j + 1. Let d be p(0). Let f be (-1)\/3 + (8\/6)\/d. What is the closest to 2\/7 in -4, 0.4, -2, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + 30*r**2 - 49*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9491101 to the power of 1\/2, to the nearest integer?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1565 - -10961\/7. Let s = -5 - -2. Which is the smallest value? (a) s (b) u (c) 1\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27543, -27817, -28091, -28365, -28639, -28913?\nAnswer: -29187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 906*f**3 + 3682 - 3682 + 9*f**2 - 353*f**3 in the form x + v*f + m*f**3 + r*f**2 and give m.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39130 is divided by 519.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056702705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-1*4\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2025)\/30)\/(45\/(-36)). Solve 40*v + q = 49*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 50, 43, 2, -85, -230?\n\"Answer: -2*r**3 + r**2 + 26*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8886 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233.79852 months to years.\nAnswer: 19.48321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2 - -5*3*sqrt(2))*6.\nAnswer: -12 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + h + 6*h)*(-2*h**2 - h**2 + h**2) - 4*h**3 + 3*h**3 - h**3)*(h + 2 - 2) + 2*h**4 - 2*h**4 + h**4.\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 751904259 to the nearest integer?\nAnswer: 27421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvrvrvrrvvvr. What is prob of sequence vv?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24131*n + 47578*n - 23457*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2651 (c) 2\/7 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.082764 and -15.6216134.\nAnswer: -15.5388494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca9f4 (base 16) to base 13.\nAnswer: 2309b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125586 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1927929*n - 412. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*f - q, -f + 3*q + 4 = 4*f. Suppose -3*l + f*l = -r, 2*r - 35 = -5*l. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/(l\/l**(-1)))\/(l**(-2\/5))**(22\/3))**27 assuming l is positive.\nAnswer: l**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/271?\nAnswer: 6\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 61 - n + 0*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92690 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60.5 - -47. Let f = 13 + j. Which is the biggest value? (a) 2 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-128)\/(-10)*(3 + -2)*20. Let q = -4597\/18 + x. Calculate the common denominator of 79\/30 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8 - 12. Suppose -8*c + 3*c + 280 = h, -3*c + 2*h = -168. Let i = c + o. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14041 (base 5) to base 16\nAnswer: -47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8208126007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68198 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4)*m)**44*(m**(-2))**(-29\/5))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:36 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 7. Let c(o) be the second derivative of 5\/2*o**2 + 0 + 28*o + 2\/3*o**3. Give c(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/6 + 10\/15. Let l(j) = j**3 - 6*j**2 + 2*j + 5. Let w be l(q). What is the units digit of (-1)\/(4\/(w - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -532 and 5.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i - 2 - 18*i - 18*i - 39*i**3 - 2*i**2 + 37*i**3. Calculate z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-1))\/(6\/(-4)). Let n be (4\/10)\/(39\/65). What is the second biggest value in n, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 698\/(-4) - (529\/(-23))\/(-46). Which is bigger: q or -180?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*8\/(-32)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30892021?\nAnswer: 149, 207329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 9\/2*h**4 + 3\/2*h**2 + 12\/5*h**5 + 4*h**3 + 1 + 0*h + 1\/2*h**6. What is c in t(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:36 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 33. Suppose -10 - 40 = -5*r - 5*v, 44 = 4*r + a*v. Let w be 14\/r*(1 - 2\/2). Is w less than -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/40 - r**4\/24 + r**3\/3 + r**2 - 17*r + 4. What is o in u(o) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-3 + (sqrt(175))**2 - sqrt(7) - sqrt(7)) - ((2*sqrt(252))**2 - sqrt(7))) + (3*sqrt(28)\/sqrt(4) - (sqrt(196)\/sqrt(7))\/sqrt(4)).\nAnswer: -1180 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -1374549.06?\nAnswer: -1374546.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 95 = 287. Let o = c - -51. Suppose 0 = 3*j + 9, -b + 3*j + 10 + 7 = 0. What is the lowest common multiple of b and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5322095 and 3245?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.328744 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34621, 33469, 32319, 31171, 30025?\nAnswer: 28881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:13 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10*3)\/(-2) - -1. Let p = -2 - -18. Let q = x + p. Solve q*i + i - 5*k + 6 = 0, 4*i - 3*k - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636382 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -5\/6 (c) -0.658 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(15\/2))\/(-3341). Let w = t + 5171854\/70161. Let y = w - 74. What is the nearest to y in 1, -3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 159*t - 7 - 478*t - 197*t.\nAnswer: -834*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-53312\nAnswer: -10662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13255.240018 - -13257.54. Let m = -51 + 48.7. Let i = m + d. Round i to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -222091 (b) 1\/5 (c) -3 (d) -2 (e) 0.4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9513 (base 12) in base 8?\nAnswer: -37637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179714 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*j**2 - 223*j**2 - 181*j**2)*(1 + 11 - 1)*(2 + 0 + 0).\nAnswer: -1892*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 13*j**2 - 7*j - 3. Let v be 72\/(-126) + (-624)\/(-14). Suppose 4*x = -3*i + 14 + v, -3*x - 58 = -5*i. List the prime factors of m(i).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*m**2 - g*m - 15*m**2 + m - 10 wrt m.\nAnswer: 8*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -652343198 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5570 and 374799730?\nAnswer: 5570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -189. Let m(n) = -n**2 + 7*n + 1 - 7 - 2. Let j be m(u). Solve 0 = -r + 3*a - 12 + j, 4*r - 2*a = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q - 4. Let t(z) = z**2 - 12*z + 11. Let p be t(11). Suppose p = -0*b - 3*b + 21. Let f(w) = -11*w - 7. What is b*l(k) - 4*f(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 17 = -3. Suppose -x*q + 28 = -8*q. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2254 divide 2951683511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2331\/(-48396))\/((-504)\/192).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*c - z, 314*z - 313*z = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 378422483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 0.3 (b) -1\/3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -a36a4?\nAnswer: a36a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 693.96039856?\nAnswer: 687.96039856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5495.523319 rounded to one decimal place?\nAnswer: 5495.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(308) + sqrt(308))\/sqrt(11))\/((sqrt(144)\/sqrt(6))\/sqrt(6) - sqrt(144)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3 + 983*y + 3*y**2 - 1111*y - 53. Give z(43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*z**2 + 19*z**3 + 412*z**2 - 143*z**2 - 3.\nAnswer: 19*z**3 + 875*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 2*s + 1. Let u be f(-2). Let g be 4 + (-3 - 0) - (u + 5). Sort 4, 25, g in descending order.\nAnswer: 25, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6.7. Let f be 3\/12 - 15\/156. What is the third biggest value in n, f, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + -39 + -9 + 21. Let s(v) = 2*v**3 + 14*v**2 + 5*v - 14. What is s(o)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -157*w**2 + 3. Let u(r) = 15*r**2. Determine q(u(d)).\nAnswer: -35325*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 56, 2\/141, -9, -1 in increasing order.\nAnswer: -47, -9, -1, 2\/141, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*j + 4*m, j + 2*m + 2 = -4. Does 13 divide j\/14 + (-2168)\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -967, -3877, -8733, -15535, -24283?\nAnswer: -34977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.487 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c - 12*c + 30. Let s(h) = -4*h - 19. Let o be s(c). Solve q - o = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 2. Let i(j) be the third derivative of -j**5\/15 + j**4\/8 - 7*j**3\/6 + 5*j**2. Give 7*b(q) + 2*i(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(2\/3)*c)**(-37)*(c**(-1)*c*c*c)\/(c\/c**(1\/4)) assuming c is positive.\nAnswer: c**(-1465\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*(-19)\/(-95))\/(-7). Which is the third biggest value? (a) 0.06 (b) -4 (c) k (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.465885 * 0.1\nAnswer: 0.7465885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102943 times 0.4?\nAnswer: 0.0411772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let r be u(2). Factor -v**5 - 2*v - 6*v**3 + 50 + 4*v**r + 4*v**4 + v - 50.\nAnswer: -v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*1*(63 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 15*i**2 + 16*i - 15. What is the remainder when 103 is divided by a(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -816, -6491, -21890, -51873, -101300, -175031, -277926?\nAnswer: -414845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 6)\/(4\/6). Let t = v + 6. Suppose m - 3 - 9 = t*y, -3*y = 5*m - 24. What is the least common multiple of 4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -92. Suppose -4 = p*g - 4. Solve 2*n + m + 1 + 2 = g, -m = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -249721463\/14 + 17848010. Let j = -10756 + k. Calculate the common denominator of j and -69\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 - 86. Calculate the remainder when 428 is divided by r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0491858 - 229.3078142. Let g = -248.37 - h. Let r = g - -19. Round r to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 447528? (a) 3\/7 (b) -4\/7 (c) 1\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:35 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and 73\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20, -4*w + p = -0 - 5. Let r(i) = -i**3 - 6*i**2 - 5*i + 5. Let m be r(-5). Solve -m*o = -w*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-12)*(-16)\/3. Suppose -3*j = f*r - 30, -2*j = -3*j - 2*r + 10. What is the highest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 1545 - 1545.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21*11\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 21*s + 14. Calculate b(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.220003317 - 67.22. Round h to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.12 - -156.98. What is a rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1354, 1404, 1532, 1774, 2166, 2744, 3544?\nAnswer: 4602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.4. Let x = q + 0.6. Let y = -4.9 - -5. Is x at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 18*f + 78 = 0. Put 0, 1, f, 19 in descending order.\nAnswer: 19, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 - a - 1. Let k be i(-5). Let x be 2*(0 - (-4 - -2)). Is x > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/((sqrt(70)*2)\/sqrt(7)))**2*-5 + 0 + 2.\nAnswer: -127\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*m + 2199 + 337, -4*h + 2*m + 3378 = 0. Let a = -288 + h. Suppose 4*j - 3*p = 201 + a, 3*j + 2*p = 589. List the prime factors of j.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 51 + (6 - -2) - 144\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ba85 (base 16) to base 5\nAnswer: 3011444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 3*m**2 - 48*m - 44. Let w(n) = -n**3 - 4*n**2 - 5*n - 6. What is the remainder when w(-4) is divided by t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -456. What is the greatest common divisor of q and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*u - 3079*u**2 + 4178*u**2 + 321*u + 6778*u**2.\nAnswer: 7877*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28546.15um to kilometers.\nAnswer: 0.00002854615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11 + 6*f - 19 + 12. What are the prime factors of u(14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y - 1. Let q(t) = 25*t + 2. Let f(p) = 26*p + 2. Let k(z) = 5*f(z) - 6*q(z). Let i(x) = -7*b(x) + 4*k(x). Give i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6111, -6248, -6485, -6828, -7283, -7856, -8553, -9380?\n\"Answer: -s**3 - 44*s**2 + 2*s - 6068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 14) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 2*a)*(-60 + 111 - 56) - a + 3*a - 4*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/154 - 8\/(-44).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/15)\/j**(-26\/3))\/(j\/(j*j\/(j**24\/j))*j*j\/(j*(j*j**(-1\/27)*j)\/j*j*j)) assuming j is positive.\nAnswer: j**(-1544\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 833133*i**4*y**2 - i**4*y + i**3*y + 11*i**2 - 2*y**2 + 51258 wrt i?\nAnswer: 19995192*i*y**2 - 24*i*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r**(1\/7) assuming r is positive.\nAnswer: r**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puhqp. What is prob of sequence qh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/4 + 25*t**3 + 975*t**2\/2 - 6875*t + 75625\/4.\nAnswer: (t - 5)**2*(t + 55)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 2. Let q be d(-1). Suppose q = 5*i + 34 - 64. Suppose 0 = 3*o - 6, 2449 = 3*g + i*o - 4*o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166*k - 17*k**2 + 166*k)*(0*k - 3*k**2 - k + 5*k**2) + 476*k**3 - 476*k**3 + 4*k**4 + 4*k**2 to s*k + z + a*k**4 + l*k**2 + r*k**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -35. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 36\/13, -2.1, 0?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11430 and 36.\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 93969*s - 3289650.\nAnswer: 3*(s - 156650)*(s + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138170114*w**4 + 67819813*w + 2.\nAnswer: -1658041368*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-63)*-7 - (-24)\/52*-2. Which is the fourth smallest value? (a) -1.7 (b) h (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*q + 565 + 1046 = 136*q + 399*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 8*a**2. Let z be y(-8). Suppose 0 = -z*w + 5*w - 45. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -11.5, 0.8, 405 in descending order.\nAnswer: 405, 0.8, -1\/15, -11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9130 is divided by 2974?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/2 + 7751*n**4\/2 + 7580969*n**3 + 275488171*n**2 + 1056497869*n\/2 + 520675715\/2 = 0. Calculate n.\nAnswer: -3857, -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.004672 rounded to zero dps?\nAnswer: -519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 greater than or equal to 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:38 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*l + 2 + l)*(30*l - 30*l - 4*l**2).\nAnswer: -4*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t*t**0*t)\/(t\/t**(-2\/7)*(t*t**1)\/t)*((t**6\/t)\/t*t\/(t\/(t*t**(5\/2))*t))\/(((((t**(-5\/6)*t)\/t)\/t)\/t)\/t**(1\/13)) assuming t is positive.\nAnswer: t**(2218\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226466 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1830 + 1832. Put -2, y, -18.6 in ascending order.\nAnswer: -18.6, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.42 - 2.12. Let h = j - 0.3. Let f = h + -8.99999975. Round f to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -s + 15, 0*s + j + 6 = 3*s. Solve 0*z + s = 3*i - 2*z, 0 = -4*z + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 149. Let m(u) = -11*u**3 + 2*u**2 - 7*u. Let b(t) = 6*t**3 - t**2 + 4*t. What is n*b(q) + 4*m(q)?\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -82067 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/8 (c) 1\/3 (d) -2\/23 (e) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(1\/(-38)). Suppose -3*b = -5*m + u - 5, 0 = 2*b + 2*m - 12. Suppose 41 + 17 = 2*i - 4*t, -70 = -b*i + t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484932.\nAnswer: 2, 3, 7, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 x when four letters picked without replacement from qfxxxfqxxxfxq?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3604 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 16. Let i be (2\/(-6))\/(1\/(-9)). Solve -11 = -p - 3*p - 3*v, i*p + n*v - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -28*k**2 + 16*k. Let l(h) = 13*h - 30*h + 12*h + 15*h**2 - 6*h**2. What is 16*l(x) + 5*t(x)?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72 - (2 + 2 + -2). Let y = 119 - t. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 698 - 697.8. Let q = -10 - -9. Which is the nearest to -2? (a) r (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -21*p + 426. Calculate j(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 + 0.08. Let w = -4\/25 - -1012\/75. Let u = w + -14. What is the closest to u in a, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 - 9*y**2 + 7*y**2)*((-1 + 0 + 2)*(0 - 3 + 2) - 2 - 1 + 2) to the form m + x*y**2 + l*y and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*i + 702*i - 1569*i + 473*i + 9 - 9.\nAnswer: 208*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 3c870?\nAnswer: -3c873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12622.61 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 206008 divided by -51502?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 6*w + 94. What is the highest common divisor of 287 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7538 + 8.\nAnswer: -7530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3 + (-4)\/(-4)). Suppose 3*g = -n + 74. Suppose 0 = t + 4*c - g, t - 4*c + 72 = 4*t. What is the lowest common multiple of 12 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 126*z**3\/5 + 37*z**2\/5 - 169*z + 534\/5 = 0?\nAnswer: -3, 89\/126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aak when three letters picked without replacement from {m: 1, a: 3, q: 1, p: 5, o: 1, k: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*1 + 2)*3. Let x(w) = w**3 + 18*w**2 + 68*w - 5. Let i be x(-6). Suppose c*y + i = -5. Which is smaller: -9 or y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-9)\/6 - 129. Let w be o\/(-24)*(4 + 0). Let t = 24 - w. Solve -11 = 2*q - 5*a, 3*a - 8 = t*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 346.72373\nAnswer: 344.72373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*a - l, -107 = -3*a + 3*l + l. Let v = 47 - a. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - -3 - 3 - 1. Let f be 1*4 - (-2 + 3). Find the second derivative of 4*b**3 + k*b + 0*b**5 - 4*b**f + 2*b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/4 of a century?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -2154102?\nAnswer: -2154045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.003 smaller than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3709520 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 620 = -6460. List the prime factors of i.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 23. Let q(k) = -221603*k. Calculate q(j(p)).\nAnswer: -1108015*p + 5096869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 6*d)*(d**4 - 1 + 1) + 4 + 9*d**5 - 4.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1937 + -1133. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 12. Let t be d(9). What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1034, -1186, -1360, -1562, -1798, -2074?\n\"Answer: -r**3 - 5*r**2 - 130*r - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 120*c**2 + 58*c + 33. Let i be v(-5). What is the highest common divisor of 169 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:12 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = j - 12, 0 = -3*j + 12. Suppose -c*k + 6 = -0. Suppose -x + 4*x - 3*s = 6, k*x - 2*s - 6 = 0. Solve 5*z + x = -8, 2*t - 4 = 2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 49. Calculate v(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/430 and 41\/272.\nAnswer: 58480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-51)\/9 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/12)\/((-12)\/(-8)))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3092 is divided by 64.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647 (base 9) in base 2?\nAnswer: -10011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 26, 1\/25, -2\/7, -2, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*f + 6*d, 10*d - 10 = 15*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r, -1863 = -3*o + r + 547. Let l = 0 - -2. Suppose 92 - o = -l*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -3, -32, 9 in descending order.\nAnswer: 9, -3, -32, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -30, -73, -146, -255, -406?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, c: 2, y: 3, x: 1, d: 6}. Give prob of picking 1 v, 1 m, and 1 d.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 + p + 3. Let z be o(0). Suppose -3*i + 6 = -z*d - 3, -5*d = 4*i - 12. Suppose 3 + 0 = i*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. Let u = 6 - -35. Let q = u - 37. What is the biggest value in q, z, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33119 = 21*u - 97904. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1147016.7us to hours.\nAnswer: 0.00031861575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244.6 - -266. Round d to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-62))\/((45\/(-342))\/5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33140 - -422032?\nAnswer: 333342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:41 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 52 = -4*q, 0 = -4*q + 192 - 160. Solve -4*d - 3*u = -17, t*u + 2 = -4*d + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.7 (b) 12\/5 (c) 0.11 (d) 2\/13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 + l**2)*(l**2 - 7*l + 8*l - 3*l**2).\nAnswer: -2*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -11a47a8?\nAnswer: 11a47a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20501066900 rounded to the nearest one million?\nAnswer: -20501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30766?\nAnswer: -1\/30766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/16 + 5 + -5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 531 - -4242?\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0447 - 0.6208. What is y rounded to 2 decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 4326645\/60)\/(3\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -463687, -463723, -463797, -463927, -464131, -464427?\n\"Answer: -3*l**3 - l**2 - 12*l - 463671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112107?\nAnswer: 3, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, v: 1, o: 1, j: 8, h: 2}. What is prob of picking 3 a?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(6 - 19 + 4)*(-3*q**4 + q**4 - q**3 + 3*q**3).\nAnswer: 18*q**4 - 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.615836 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22906 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174446 = 5*u + 4*l, -3*u + 162492 = l + 57830. List the prime factors of u.\nAnswer: 2, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103961219*o*s + 80394168*o wrt s?\nAnswer: 103961219*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-16))\/((-15)\/140) - 2\/(-12). Which is the third smallest value? (a) i (b) 2\/15 (c) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 7. Let l be q(2). Let t(b) = -32*b**3 + 2*b**2 - 4*b + 4. Let d be t(l). Suppose 0 = 4*o + 3*r - d, -r + 2*r = 2. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 53*m**2 + 344*m + 686. What is the remainder when 8186 is divided by o(-2)?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113292 by 9.\nAnswer: -12588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v**(-2\/3)\/v)\/v*v)**16)**(-2\/67) assuming v is positive.\nAnswer: v**(-32\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjjoojjo. Give prob of sequence jjno.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1141862874 to three dps.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275285216 and 17510.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/2 - 40417*w**3 - 121248*w**2 - 121247*w - 80831\/2 = 0.\nAnswer: -80831, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 35 + 41 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602*k**2 + 39*k - 603*k**2 + 0*k**3 + 1202*k**2 + 102*k + k**3 to s*k**3 + p + x*k**2 + o*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660006641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 10. Let r(c) = c**3 + c**2 - 2*c - 1. Let n be r(h). Let v = -8.9333 - -6.9333. What is the second smallest value in 4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070639 is divided by 1205.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208798433?\nAnswer: 71, 139, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 - 2*m + 2. Let g(f) = -f + 4*f + 11*f**2 - 5 + 2*f. Let u(a) = 4*g(a) + 10*r(a). Let d(l) = 2*l. What is d(u(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 - -1690. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*q + 93 = 3*p - 71*q, -2*p + q + 79 = 18 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145152 = -20*i + 11*i. Suppose 23*v - 41*v = -i. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - 5. Suppose -m - 48 = y*m. Let x = 13 - m. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/72 + y**4\/24 + y**2. Let h(t) be the second derivative of u(t). Determine h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-24 + 17 - -26 - (15 - 8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 51 + 53 - 2*t**4 + 2*t - 3*t**2 - 3*t**2 to the form g*t + w*t**2 + k + p*t**4 + i*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 472423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7969*d**2 - 8987*d + 3. Let i(v) = -7971*v**2 - 8970*v + 2. Let j(q) = 3*i(q) - 2*z(q). What is the second derivative of j(f) wrt f?\nAnswer: -15950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 44080*i. Let f(u) = -487*u. Give r(f(x)).\nAnswer: -21466960*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.15, 0.26, 93, 0?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13337\/10005 - -1\/3335. Put i, 2\/7, -12, -1\/3 in decreasing order.\nAnswer: i, 2\/7, -1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-1)\/12*3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*p + 36, -35 - 68 = 3*a - 4*p. Put a, -4, -3 in ascending order.\nAnswer: a, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + 6\/15. Let r be (-4*(-5)\/(-6))\/(4\/(-6)). Suppose t*n + 2*o - 24 = -3*n, -15 = -3*n - r*o. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnkinkiknqknnnnki. What is prob of picking 1 q and 1 n?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (378\/15)\/((-3)\/(-15)). Let y = -86 + k. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*n = 843*n - 441*n - 40 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51336, -51462, -51676, -51978, -52368?\n\"Answer: -44*c**2 + 6*c - 51298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogffogjj. What is prob of picking 1 j, 1 f, and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 - b**5 - 2*b**5 + b**5 - b**5 + (-4*b**4 + 2*b**5 + 4*b**4)*(3 - 4 + 4) - 2*b + b**5 + 2*b.\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1083*x**2 - 23*x - 5. Is q(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504, -1623, -3424, -5967, -9312, -13519?\nAnswer: -18648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h**2 + 35*h**2 - 118*h**2 + 41*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1726 * -260\nAnswer: -448760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, l: 3, z: 2}. What is prob of picking 1 n and 3 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**3 + 4*j - 2. Let q(d) = -8*d**3 - 3*d + 2. What is -4*q(s) - 3*r(s)?\nAnswer: 5*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*d - 18, -25 = 3*i - 6*i + 4*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 + 156. Solve -d = 4*w, -3*f - 19 = -6*f + 4*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 31 - 7. Solve 2*g + 2*r = 6, -m*r = -5*g - 2*r + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 109995*f**2 + 8*f - 109973*f**2 + 10*f - 2*f in the form a*f + r*f**2 + x and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 41*j**2 + 5543. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-90)\/(-7))\/((54\/84)\/3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 148064.\nAnswer: 444192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1627, -2264, -4015, -7438, -13091, -21532?\nAnswer: -33319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/7 + -1 - -3. Let y = 0.0089 + -0.0089. What is the nearest to -3 in 3, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -4) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -664*s - 23785 + 9344 - 16767 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 3. Let p = -64 - -60. What is the third smallest value in p, t, -5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 710.00007018 + -710. Round c to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l - 4608 = 35*l - 2*l - 1308 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - 1) + (-8)\/(-4). Let l = 27 - x. Suppose -n = 4, l = 3*t - 5*n - 17. Calculate the remainder when 10 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151066 * -0.3\nAnswer: 345319.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 3*o - 5. Let f be t(-9). Let d = 197 + f. Suppose -5*i - d = -4*a - 28, 5*a - 49 = i. What is the lowest common multiple of a and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66466, -132930, -199394, -265858, -332322?\nAnswer: -398786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-152)\/(-38)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/51 and 133\/144.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7804?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 2, t: 5, c: 1, j: 2, p: 4}. Give prob of sequence ggjp.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648517 and 1074.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*c = 49 + 27 + 164. Determine p, given that 1\/7*p - 1\/7*p**c + 0 + 1\/7*p**4 - 1\/7*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*2\/(-24))\/(2620\/(-330) + 8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and -82?\nAnswer: 7544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 6. Let c = 2 - 7. Let q(b) = -1. Let l(h) = c*q(h) - p(h). What is the first derivative of l(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (19 + (13 - 16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, 1 o, and 1 r when four letters picked without replacement from obborcobooooac.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3800630 and 501970?\nAnswer: 26604410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/73)*b**24*b*b)**(-17\/2) assuming b is positive.\nAnswer: b**(-16116\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -4a67172?\nAnswer: -4a67170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43079 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - -8 - (7 - -9 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -514*o**6 + 3 - 5*o**5 + 38349*o + 4*o**5 - 38349*o + 0*o**5 - 105*o**2 wrt o.\nAnswer: -61680*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 33*o - 175. What is m(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 22 - 48 - 84 - 662*a. Let u be m(-9). What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22326 is divided by 294?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p - 7. Let u be 4\/(-11)*(-1)\/p. Let i be (41 + -35 - (5 + 0))\/1. Are u and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - -4 - 1*-5. Let f be (-2)\/(0 + a)*0. Suppose f = -3*p + 65 - 26. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*u + 8 = 2, -2*w + 18 = 2*u. Suppose -w*b + b = -833. List the prime factors of b.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36522994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3909378 or 3909335?\nAnswer: 3909335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157 and 21?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258090, 516210, 774332, 1032456?\nAnswer: 1290582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7411683 (base 10) to base 9.\nAnswer: -14845823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 81. Let f(a) = -a - 1. Let b be f(-1). Suppose 4*w - m + 2 = b. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d**3 + 8*d**2 - 39*d + 17. What is w(5)?\nAnswer: -1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 5, n: 1, s: 3}. Give prob of sequence swn.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -52*m**2 - 474*m. Let t(d) = 9*d**2. Calculate y(t(f)).\nAnswer: -4212*f**4 - 4266*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -0.5 (b) 10 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 1220 = 11*f - 92. What is the highest common factor of f and 1833?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 2*x + 10. What is the remainder when y(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 136 = -2*t, 125 + 49 = 3*t - 4*i. Let q = 65 - t. Solve 0 = -5*k + 8 - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1736207 - 1736206.7. Let l(u) = u**3 - 7*u**2 + 4*u + 7. Let g be l(6). Let v be ((-4)\/170)\/(1\/g). Which is the closest to n? (a) -2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423 divided by 1141?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -144*g**2 + 28*g - 50. Let d be x(2). Let t = -574 - d. Which is the biggest value? (a) t (b) 5\/12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x*x**(1\/7))\/((x\/(x**(2\/21)*x))\/x**(-1)) assuming x is positive.\nAnswer: x**(-163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (-21399)\/364 - (-24)\/(-52).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlygpydn. What is prob of picking 1 n and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12624 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*q + 5*t, q + t + 128 = 140. Solve -20*p = -q*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/10)*q\/q**(-1\/8)*q**(-4)*q**(2\/7) assuming q is positive.\nAnswer: q**(-697\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -1\/5, -0.29, 2\/143, 0.4 in descending order.\nAnswer: 4, 0.4, 2\/143, -1\/5, -0.29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcvlllilivvicllvliii. Give prob of sequence ii.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 350226?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681126886?\nAnswer: 2, 11, 29, 1067597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*t - 80. Let c(p) = -2*p + 6. Let a be c(4). Is (-2)\/a*1*(t - -496) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose 0 = -4*k - 3*w - 15, -v*k - 2*w - 6 = 4. Solve k = -4*j - j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-29))\/((-3)\/(-2)*2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -837864 <= -837864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/315 + 2*s**6\/25 - 4*s**5\/15 + 2*s + 584. Find j, given that o(j) = 0.\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101120 (base 3) to base 12.\nAnswer: -5289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 1571*s - 40175. Give h(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-14))\/(((-153)\/510)\/(((-112)\/20)\/4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n - 7*n + n)*(-239*n + n**3 + 5 + 239*n - 2*n**2) in the form v*n**3 + r + x*n**4 + t*n + h*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Let c = j - 12. Let d = 9 + c. Solve -a - 5 = -d*q, 4*a - 2 = q + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 10 - (7 + 12)) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*u - 12. Let n(k) = 3*k**2 - 6*k + 2. Let l be n(u). Determine g so that 14 + 4*g**3 - 54*g + 9*g**l + 40 + 9*g**2 - 6*g**3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-2)\/2 - -10). Let w(h) = -136*h - 1628. Let r be w(-12). Solve -5*z + 3*o = r*o - 10, -5*z = 5*o + f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57272 + 3?\nAnswer: -5726f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-17)*r)*r**16\/r assuming r is positive.\nAnswer: r**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 343. Let g(f) = 7*f + 681. Give 9*b(v) - 4*g(v).\nAnswer: 8*v + 363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**0\/m)\/m))**12*(m\/(m*m**31\/m*m))\/(((m\/m**5)\/m)\/m*m*m*m))**(-12) assuming m is positive.\nAnswer: m**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 7. Let w(o) = o + 7. Let i = 13 + -9. Let m(x) = i*w(x) - 3*d(x). What is m(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 + (9 - 13)) - (18 - 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150419 is divided by 50117.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:10 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-10))\/((-26)\/65). Solve 0 = j*h + 20 - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 410*h - 852*h + 420*h + (0 - 2 + 4)*(-1 + 2*h + 1).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:14 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-10))\/((-2)\/5). Let x be s + -2*3\/2. Suppose -3*f = -3*a + 2*f, 8 = 4*a - 4*f. Put 3, a, x in descending order.\nAnswer: a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229529 take away -0.7?\nAnswer: -229528.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40739086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17103 by -3.\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let r(l) = 0*l - 17*l**2 + 0*l + 20*l**2. Give r(g(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**4*c))**9)**8 assuming c is positive.\nAnswer: c**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -104, -88, -58, -14, 44?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 - -105. What are the prime factors of -11 + w + 0\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 5:06 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476515 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 2*u + 186912 = 0. What are the prime factors of u?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:19 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/4 (c) -2\/19 (d) -0.3 (e) -34 (f) -1\/328\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 13*y)*((-y**2 + 3*y - 3*y)*(-20*y**2 + 38*y**2 + 22*y**2) + (0*y**2 + 3*y**2 - 5*y**2)*(-4*y**2 - y**2 + 3*y**2)).\nAnswer: 540*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151413137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 0, 0 = -2*p + 19*f - 15*f - 14. What is the least common multiple of ((p + 16)\/(-3))\/(-1) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - 5*h + 61. What is k(5)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12291 divided by -12291\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418 and 143840906.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 7*s + 15. What is h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 11:45 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2671, 2673, 2675, 2677, 2679, 2681?\n\"Answer: 2*u + 2669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 + 1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5*-3)\/(609\/(-70)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*m - 824, m + 4*w = -0*w - 160. Let d = m + 273. List the prime factors of d.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107*f - 142*f + 150*f - 25*f - 2 + (-2 + 0 + 3)*(3 - 3 - f).\nAnswer: -125*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.049, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/(i\/((i**(-19)\/i)\/i))*i))\/i**(-16)*i**(-17)\/i**(-15) assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/6 + 78221*a\/6 + 26073 = 0?\nAnswer: -78219, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -637.8807 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-131)\/(18340\/(-84)))\/((-3 - 0)\/(-315)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let v(x) = 7*x - 2. Let j(l) = 8*l - 1. Let c(u) = -5*j(u) + 6*v(u). Suppose -4*f + 17 = -3. Let k(g) = f*y(g) + 3*c(g). Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2014 (base 6) to base 7\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 1. Let m(x) = -x**2 - 1. Let p(n) = 4*d(n) - 3*m(n). Let w(z) be the first derivative of p(z). Let c(t) = -2*t**2. What is w(c(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*y + y. What is the units digit of y\/8*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Suppose 2*f = 0, -5*t + c*f + 13 = -7. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -58. Suppose -2*y + 9 + 7 = l*z, -4 = -z. Solve 0 = -y*o + 4*o + 3*g + 12, 4*o + 2*g + 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -20. Suppose 51 = 38*b - 78 + 53. Solve -b*p = -5*p + d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-7)*(-11)\/(44\/(-48)). Is t >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -282. Let f = -106 - g. Let z = f - 73. Is z at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from ibbibbb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 992.3 - 992. Suppose 0*b = 3*z - b - 49, 0 = 3*z - 5*b - 65. Let o be (-18)\/z*(-10)\/8. What is the biggest value in k, -2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697890 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 13960 = 5*b - 33*w, 3*w - 13968 = -5*b. Suppose -4*p + b = 53*p. Calculate the remainder when p is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.69041913 rounded to 4 dps?\nAnswer: -4.6904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46966 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -530 (base 6) to base 9.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 964547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let k(m) be the first derivative of 6*m**2 - 5. What is k(v(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/960 + 7*y**5\/480 - 5*y**2. Determine v, given that f(v) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v - 6. Let d be g(3). Is 4 + (6434\/6)\/((-2)\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, x: 2, n: 3, i: 3, s: 1}. Give prob of picking 1 s, 1 n, and 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0\/(i*i*i**(-2\/7))*i**(-2\/5)*((i\/i**6)\/i)\/i assuming i is positive.\nAnswer: i**(-319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 + -11. Let r = 2.9 - 3. Let p = y - r. What is p rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/30 + t**4\/8 - 16*t**3\/3 - 2*t**2. Let v(i) be the first derivative of o(i). Calculate v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 + 0*i**2 + i**2)*(-278*i + 558*i - 282*i) to s + k*i**2 + m*i + o*i**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1622 - 699. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 1433.\nAnswer: 34392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302954 - 325742 - 325739 + 7*x - 325734 - 325739 - 9*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12558810 to the nearest 10000.\nAnswer: -12560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -a + 13*a. Suppose -22 = -2*c + 3*v, -4*c - 5*v + 10 + 34 = 0. What is the lowest common multiple of a and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 81.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-1 + 9 - 1)*(3*b - 3*b + 3*b)*(-1 - 7 + 12).\nAnswer: -336*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:38 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 29*u + 175. Let f be q(9). Sort -6, f, -93, 3.\nAnswer: -93, -6, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Let j(c) be the second derivative of 0*c**o + 0*c**3 - c - 1\/12*c**4 + 0 - 1\/10*c**5. Find the third derivative of j(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 13*i - 1. Suppose 3*o = -24 - 15. Determine c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4520 + 24?\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 27778496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*2 - sqrt(432))\/((2*sqrt(72) - sqrt(72))\/sqrt(12)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40598889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170667 and 4851.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**7\/1260 + g**6\/180 - 19*g**4\/24 - 3*g**2. Let x(i) be the second derivative of v(i). Factor x(f).\nAnswer: -2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -242*r - 58092. Calculate c(-241).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2147207 (base 12) to base 16\nAnswer: 606067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34819 by -32.\nAnswer: 34819\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6513 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 194 - 989 - 339 - 835)*(6*r**3 - 5*r**3 + 4*r**3).\nAnswer: -9590*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfj. Give prob of picking 1 z and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2029, 8160, 18359, 32608, 50889, 73184, 99475, 129744?\n\"Answer: -3*d**3 + 2052*d**2 - 4*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b**3 + 3*b**2 + 20. Let h(d) be the second derivative of 2*d**5\/5 - d**4\/12 - 7*d**2\/2 + 4*d + 13. Give 17*h(m) + 6*k(m).\nAnswer: -2*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjeeej. Give prob of picking 3 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1394.5 + 1395. Put -0.2, 0.17, -2, -5, u in descending order.\nAnswer: u, 0.17, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 12 - 4*i + 0*i)*(3*i - i**3 - 3*i) as g*i**2 + y*i**4 + v*i + d + r*i**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 141*t - 20 - 239*t in the form q*t + z and give q.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2362 and 4?\nAnswer: 4724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16815162, 16815117, 16815072, 16815027, 16814982?\nAnswer: 16814937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3324.9787 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 1, i: 2, e: 7, q: 3}. Give prob of sequence qiq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.89 - 36.6. Let q = v + -0.69. Let h be (1\/6)\/((-1)\/4). Which is the nearest to h? (a) q (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 + 231.4. Round j to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 9 = -123 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 368315\nAnswer: -368315.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187192 - -727808. What is a rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -101*o. Let n be i(1). Let s = n - -255. Let v(z) = -80 - 74 - 23*z**2 + s. Let h(d) = 2*d. Give v(h(f)).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*o - 15810, -3*o = 3*c - c - 15808. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/7)\/((o*o\/o**(-6)*o*o)\/o*o))**(-3\/5) assuming o is positive.\nAnswer: o**(222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z + 10. Let n = 38 - 46. Let k be w(n). Suppose k = 18*c - 236. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1465.89263 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3015*r*u**2 + 5*r*u - 4*r + 71*u**2 + 4924 wrt u.\nAnswer: 6030*r + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25975159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2571111 at least as big as -2571111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 48 = 3*w, -2*g + 4*w - 78 = -7*g. Sort 4, g, -2, -3 in descending order.\nAnswer: g, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1443 + -1449. Let k(s) be the third derivative of -s**4\/24 - 5*s**3\/3 + s**2. Determine k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j + 4. Let l be i(-3). Suppose -4*x + 104 = -2*x - 5*d, -110 = -3*x - l*d. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -5 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13551314 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/14 and -7\/8192?\nAnswer: 57344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12978466 is divided by 4428.\nAnswer: 4426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/9060*(-384)\/(-224).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -379, 0.5 in ascending order.\nAnswer: -379, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 19 = 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q - 2. Let n = q - -1. Let p be ((-18)\/(-15))\/(n\/(-50)). Solve -3*s = -8*s - p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 28*v**2 - 119*v - 278. Calculate g(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 27*i**2. Suppose 3*y - 291 = -4*c, -y - 340 = -5*c - 0*y. Let r(s) = 69*s - 16*s**2 - c*s - 3 + 3. Give r(h(a)).\nAnswer: -11664*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + 5*x**2 + 62 + 3*x**3 + 70 + 85 to t*x**2 + p*x**3 + g*x + q and give q.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268007 and 90412?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1856.2 or -9\/8?\nAnswer: 1856.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 578133.\nAnswer: 2890665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25392979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:18 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(904*y - 32980*y**2 + 908*y + 905*y - 2717*y) to w*y + o*y**2 + b and give o.\nAnswer: -32980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*o = -12, -4*i + 0*o + o + 3 = 0. What is the first derivative of i*g**4 - 5*g**4 + 3 - 1 + 1 wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 215*y**2 + 1580*y - 201874. What is b(218)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 * -138.1653\nAnswer: 84.280833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/27*-1)\/((-1)\/3)*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 57*y**3 - 1. Let j be c(1). Let o = 8 + j. Suppose 4*f + o = -t, 2*t + 5*f = -0*t - 137. What is t rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9*r - 4*r - 147 = 0, -2*r = 5*n - 226. Suppose -4*h + 38 = -0*h + 2*q, -4*q = 4*h - n. Solve 4*t = 16, 3*t = -3*y + h*t - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-245)*(-24)\/36*7\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-750)\/(-68) + (-18 - -7))\/(4 - (-246)\/(-60))?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 18 = -3*z. Let p be 26\/z - 2\/(-3). Let r(i) = 5*i - 4. Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1069, 4605, 10749, 19501, 30861?\nAnswer: 44829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(1024))\/(-3*sqrt(800) + sqrt(8)).\nAnswer: -24*sqrt(2)\/29 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 4:27 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1138*c**2 + 3801 wrt c.\nAnswer: 2276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 21*x**2\/2 - 147*x\/4.\nAnswer: -3*x*(x - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, -105, -4, 19, 0.2, 0.3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {j: 10, v: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-5*3)\/(3*sqrt(54)) + 1.\nAnswer: -5*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 336*p**2 - 4. Let n(i) = 208*i - 2. Calculate n(w(v)).\nAnswer: 69888*v**2 - 834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10127810 and 3850?\nAnswer: 50639050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)*x)**(-1\/2) assuming x is positive.\nAnswer: x**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46960172.\nAnswer: 2, 7, 19, 103, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-20) + (-3)\/12. Put 1, v, -0.4 in increasing order.\nAnswer: v, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4779a30 - -2?\nAnswer: -4779a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-144000)\/(-1296))\/(-200))\/(((-2)\/10)\/(24\/50)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 + 12 = -2*u, 5*t - 3*u + 5 = 0. Let w be t + 16 + 0\/((-24)\/(-6)). What is the units digit of 20\/w*2*39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8279 = 6*d - 5239. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 616\/(-52) - (735\/35 - 18)*-4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2052 and 912.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-580 - -590 - (26 - -1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1115, 1822, 1677, 254, -2873, -8130?\nAnswer: -15943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -417*m**2 + 2671*m - 554. What is b(6)?\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 7*q + 5. Let i be p(4). Let c be 2\/(33\/i + -3). Suppose c*w = 104 + 1. Calculate the remainder when 68 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose 0 = 2*o - 0*o - 5*l - 21, 0 = -2*o - 4*l - 6. Is d != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10380 and -137\/2124.\nAnswer: 1837260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36666 and 271600.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11301, -11303, -11305?\n\"Answer: -2*x - 11299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107593 and 2125?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 708 and 24546?\nAnswer: 2896428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m - 10. Let y be z(-7). Let k = -95 + 167. Suppose 0 = 4*g - 392 + k. Calculate the highest common divisor of g and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -771.0981?\nAnswer: 771.0981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 2*l = 0. Suppose p + 2 - 4 = l. Solve -4 = p*v - 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9851183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120081*k = 120082*k + 2*d - 2, -4*k = -6*d + 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4358\/183036)\/((-2)\/4).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (33 + -4)) + 33.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from {d: 1, s: 1, o: 14}.\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*y + 165*y = 2*l - 44, 12*l - 15*l + 82 = -11*y + 16*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 36 + 15 + 21.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-585)\/36 - (1 - 5\/4). Let g be 4*(-20)\/q*5. Solve -5*f - 5 = s, -2*s = 2*f - 7*s - g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f**2 - f**2)*(0 + 1 + 1)*(-12 + 0 - 7).\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1037762731?\nAnswer: 1037762736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3691.62 hours?\nAnswer: 13289832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i - 6 + 16*i - 8*i)*(-6*i + i + 2*i + (-5 + 2 + 1)*(0*i + 3*i - 2*i) - 2*i + 3*i - 2*i + 7*i + 7*i - 27*i) in the form m*i + h*i**2 + x and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m**5)**6\/(m**(-5)*m**(-6))**15 assuming m is positive.\nAnswer: m**213","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 5. Calculate the remainder when 27 + (0\/(-6))\/(3 + -2) is divided by w(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42564793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - (6 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a*a\/a**(-1\/15)*a)\/a)*a*a)**3 assuming a is positive.\nAnswer: a**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 0*z)*(2*z + 1 - 1 + (-3*z + 0*z + 2*z)*(1 - 23 + 4) + 0*z - 2*z + z - 3*z + 1 - 1 + (-4*z + 3*z + 2*z)*(4 + 0 - 2) + z + z - 4*z).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.6571 to 1 dp.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 2. Suppose -3*t - 13 - 6 = -2*f, t - 5*f + 15 = 0. Let h(a) = -4*a + 2. Calculate t*w(c) - 4*h(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 75*u**3 - u. Let s be q(1). Let v = -52 + s. Is 22 a factor of -4*(-2 - (v - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:46 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 122. Suppose -z + 4*f = d, -198 = -2*z + 4*z - 2*f. Calculate the common denominator of 13 and -3 + (-1 - z\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:32 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20, -1\/3, -118, -0.4, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/8)*(-131)\/(44933\/490).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162705 + 162705 - 18*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 132 + 316 = -224. Solve 3 = 47*u - k*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.5. Put 4\/3, y, 3 in decreasing order.\nAnswer: 3, 4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -7457?\nAnswer: -7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13572 and 14222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -25. Suppose -600*k = -538*k - 372. Calculate the remainder when d is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 2*v**2 - 2*v. Let m be u(-2). Is (-4790)\/(-3) - 4\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-1179)\/(-7336))*3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-24)*(-6)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -130, 799, 1, -2\/15, 4?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -13\/36*j**3 + 0 + 23*j + 1\/3*j**2 + 1\/8*j**4. Find a such that k(a) = 0.\nAnswer: 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*k - 176 = 0, 31 = -5*w + k + 263. What is the greatest common divisor of w and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*l = 12, m - l - 4 = -6*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 5, -4, 142, 2.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h + 12*h + h**2 + 0*h**2 in the form a*h**2 + w*h + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**3\/2 + v - 179. Let a(p) = 564*p**2 + p. Calculate h(a(o)).\nAnswer: -1692*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxzzzxwxzz. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 9*n + n)*(-2*n**2 + 2*n**3 - n**2 + n**2) to the form d + s*n**3 + a*n**4 + p*n + z*n**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 102 = a, 6*a - 4*a - 183 = -v. Suppose -3*t - t = -456. Let s = t - a. What is the remainder when 40 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmll when four letters picked without replacement from llmlmbfmzlffzzmbbzz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 11, -4, -2 in decreasing order.\nAnswer: 121, 11, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1732 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 + -6. Let p = l - -0.2. Let w(k) = k**3 - 3*k**2 - 5*k + 2. Let v be w(4). Which is the smallest value? (a) 1\/6 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2178 - -5191?\nAnswer: 3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2436 and 55419?\nAnswer: 221676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 32961?\nAnswer: -1\/10987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1856 and 928.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = 7*q + 873. Let t be 10\/(5\/(30\/q)). Let r be 3*(2\/3 + 0). Solve -a = 0, 4*h - r*a + 3 = t*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from tggiggttitixiiy?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 3*a**2 + 2*a + 1. Let m be y(4). Let z(f) = 8*f + 2. Let p(v) = 3*v + 1. Let i(j) = m*p(j) + 2*z(j). Calculate i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.3885 micrograms in nanograms?\nAnswer: 76388.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41928, -41935, -41942, -41949, -41956, -41963?\nAnswer: -41970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*r + 5*r. Let k(j) be the first derivative of -j**3\/3 - 5*j**2\/2 + 4*j - 28. List the prime factors of k(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 419, 360, 165, -244, -945?\n\"Answer: -13*r**3 + 10*r**2 + 2*r + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50603208?\nAnswer: 2, 3, 47, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139*y**3 + 4*y - 4*y + 1148*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10894, 10921, 10960, 11017, 11098?\nAnswer: 11209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -7) + 1 + -8. Let s be (u\/(-7))\/(2\/14). Solve s*f = 8 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y - 9 = 116*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuuuuuuujuuuuuuuuuu. Give prob of picking 3 u.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*t**2 + 22*t - 23*t + t in the form i + m*t**2 + n*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -5. Let z be ((-30)\/12)\/(i\/4). Find the third derivative of 7*l**5 + 2*l**z - 2*l**2 + l**2 wrt l.\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.180728 to two dps.\nAnswer: -32.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-3)\/(-15))\/(-1 + 0 - (-1042)\/2605))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1383 and -97.\nAnswer: 134151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5 + 16*k**4 + 1804*k**3 + 12584*k**2 = 0.\nAnswer: -11, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*n, -2*h - 17 = 5*n + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -1\/199 (c) -0.2 (d) -0.1 (e) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20d (base 14) to base 11\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.03, 5.\nAnswer: 0.03, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6126 is divided by 1474?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519772 and 11264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/6)\/s)\/(s\/s**(-1\/3))*s**3*s**(1\/3) assuming s is positive.\nAnswer: s**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -1.7. Let j = 2.8089 + -3.1089. What is the second smallest value in 0.5, j, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561392?\nAnswer: 2, 13, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 3 + 7)*(-10*s + 36 - 36) - 2*s + s + 3*s)*(3 + 1 - 5) to u*s + o and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 114 = -9*i + 5*h, 0 = -i + 2*h + 126. Suppose 4*o - 4*f = -3*f + i, -2*o + 2*f = -64. Calculate the greatest common divisor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-54) + 7\/9 - 4. Let q = -5.4 - -0.4. Which is the second smallest value? (a) -2\/7 (b) u (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 9*u + 9. Let q(t) = t**2 - 4*t - 4. Let p(d) = -4*i(d) - 9*q(d). Let r(c) = 20*c**2. Give p(r(b)).\nAnswer: -400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460677.\nAnswer: 3, 7, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1504120.\nAnswer: -150412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 2*j + 10. Calculate the remainder when x(-7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70076502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18520 and 2544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9671\/18 - -1075\/2. Let -m*i**5 + 0*i**3 - 8\/9*i**2 + 0*i + 2\/3*i**4 + 0 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -21. Suppose 0 = -o*f - 0 + 14. Suppose 0*u = u + w - 7, -f*u = 5*w - 26. Which is smaller: u or 16\/9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let p be 14\/3*(-42)\/(-28). Let t(a) = -64*a**2 - 7*a. Let v(r) = 21*r**2 + 2*r. Let f(x) = p*v(x) + 2*t(x). Determine d(f(j)).\nAnswer: -722*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13 (b) 0.5 (c) 0.08 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 453*d + 1360. Let r be k(-3). What is the greatest common factor of 376 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-3)\/(-6))*70. Suppose 5*y - b = -0*y. Differentiate 21*s - y*s + 6*s**4 + 7 with respect to s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -1\/2, 0.4, -93, -4, 9, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-60)*(4\/9 + 245\/(-45)). Factor -8\/3*b - v*b**2 + 10\/3.\nAnswer: -2*(b - 1)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28483.39 to the nearest 10.\nAnswer: -28480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = -3*c + 268, -308 = -3*c + 5*f. Let t = 273 - c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p. Let v(c) = c**2 - c. Let i(f) = -3*l(f) + 2*v(f). Find y, given that i(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 13, 2, -5 in decreasing order.\nAnswer: 17, 13, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 34*m**2 - 4*m - 9. Let k be b(-34). Let f = k - 43. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d - 36, 5*r + 70*d = 3*r + 75*d - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 34*l**2. Let a(v) = -8*v + 5*v + 3*v + 95*v**2 - 107*v**2. Give a(k(x)).\nAnswer: -13872*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 7*p - 5. Let j be k(5). Let n = -4 + 3. Let d = n - -1.4. Which is the biggest value? (a) j (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44352 and 111573?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, i: 1, b: 8, o: 2, z: 2, w: 1}. What is prob of picking 1 u, 1 w, and 1 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g**3 - g**2 - g + 2. Let k be x(1). Let d(f) = 183*f**3 + k - 15 + 2*f + 42*f**3. Does 47 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26837.977 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426695 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*s + 6, 3*s - s + 3*p - 18 = 0. Let g be (-14)\/(-6) - 1\/s. Let m be -1 - -4 - (-3 + g). Sort -3, m, 3.\nAnswer: -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.79638 - -215.79.\nAnswer: 217.58638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 - 2*q**2 + 2*q. Let w be t(4). Solve -5*f - 8 + w = 3*x, 0 = -f + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -0.7. Let j = 0.8 - q. What is the closest to 0.1 in -0.1, -3, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67498053 rounded to 2 decimal places?\nAnswer: -2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44223 and 7104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**5 - 9*j**4 + 4*j**3 + 3*j**2 + j - 3. Let q(x) = x**5 + 7*x**4 - 3*x**3 - 3*x**2 + 2. Let b(f) = -2*n(f) - 3*q(f). Let b(c) = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-196)*(-16)\/((-4320)\/63).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x. Let k(f) = -163*f**2 - 205*f**2 - 147*f**2 + 406*f**2. Give k(j(h)).\nAnswer: -21364*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28529 and 40669.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-6))\/(4*(-4)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 261 = 48. Let x = m + -48. What is the remainder when 2\/(-1 - 138\/(-134)) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42949255 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.94 + -0.06. Let v = 29 + -86\/3. What is the second biggest value in 1, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -40. Let f(j) = j**3 - 4*j**2 - 6. Let p be f(5). Let m = c - p. Solve 4*w - v = -m, 2*w - v = -4*v - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251843 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5.90068 * -16.8\nAnswer: 99.131424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20603\/287 - -79\/41. Let p = f + -74. Let j = -58 - -57.6. Which is the closest to p? (a) -1\/10 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.20453*0.34.\nAnswer: -1.0895402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1) + (9 - (-152 - 9)). Let j(f) = -x + 9*f + 167 - 59*f - 14*f. Let r(y) = -y**2. What is j(r(b))?\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 49)*(-2 + 2 + u**2).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23145888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101011 (base 2) to base 3\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r\/(r**(-1)*r)))*r*r)**25\/(r*r**(2\/7))**(-50\/7)*((r\/((r*r\/(r\/r**(-5\/6)))\/r))\/((r\/(r*r*r*r*r\/r**2*r))\/r*r*r))**(-5) assuming r is positive.\nAnswer: r**(33815\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-3))\/l*l**(-1\/7)*l)**(-40)\/(((l**2*l)\/l)**(-36)*l**(1\/3)\/((l\/((l\/l**0)\/l))\/l)) assuming l is positive.\nAnswer: l**(-2575\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/2, -515, 0.02 in decreasing order.\nAnswer: 4, 0.02, -3\/2, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-195)\/2)\/(213\/568). Let t = -260 - x. Which is smaller: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1576 + 1602. What is the remainder when 141 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 6 - 24)*(2 - 10 + 4 - 2*v).\nAnswer: 104*v + 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*z**5 - m*z**2 - 2*m + 112*z**5 + 8*z**2 wrt z?\nAnswer: -120*m*z**2 + 6720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9302655*u**3 - 48*u + 48*u.\nAnswer: 9302655*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.41446g to milligrams.\nAnswer: 91414.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 954 - -2800. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78 - 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 5.7. Let o = k + -4.2000286. What is o rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**2 + 212724387*v + 115655635?\nAnswer: 4*v + 212724387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-6 - 1 + 3)*(-6754*p - 1290*p - 846*p)*(5*p**2 - p**2 - 2*p**2).\nAnswer: -71120*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 204*p + 100*p + 103*p to the form m*p + r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*-1*(-12)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 76. Determine w(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8)*(-40)\/25. Suppose 9 = -3*p - 0. Sort p, g, -1.\nAnswer: p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 20, 0 = -3*l - 3*x + 3. Suppose 3*q - 5*p + 10 = 0, -5*q + 2*p + 1 - l = 0. Let h be q\/(12\/3 + -3). Solve 2*c - 8 = -h*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -904310570 rounded to the nearest 1000000?\nAnswer: -904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -51636.\nAnswer: -206544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105.095mg in kilograms?\nAnswer: 0.004105095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -9\/2, -25, -2\/103, -3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from yyeiyydyyyidwyti.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7918285.\nAnswer: 5, 1583657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3935 in 3, -0.4, 2, -0.2, -4\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/315)\/(6\/42))\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 not equal to 863\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2370524 - 0.03?\nAnswer: -0.2670524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*l + 5*p + 19, -5*l - 3*p = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 1423*m + 25606. Give r(-18).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540149?\nAnswer: 540149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1028 = a + 5*x, 0 = 4*a + 3*x - 1020. What is the lowest common multiple of 32 and a?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 102?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -258104\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.026 + 36.974. Let d = 39.1 - j. Let h = 1.91 - d. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60797, -60827, -60857, -60887, -60917?\nAnswer: -60947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3912 by -253868.\nAnswer: -978\/63467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6847 - 6817. What is the greatest common factor of u and 3558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-17))\/((-2737)\/391)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/(-45)*(-14490)\/(-414).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let l = 962 - 1867\/2. Let w = l - 28. Which is the nearest to 0? (a) i (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5807 is divided by 98.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 29318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18 - -4) + 1283 + -13 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/2962093 and -24?\nAnswer: 2962093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23772, -47527, -71138, -94533, -117640, -140387, -162702, -184513?\nAnswer: -205748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 41457328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 252?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose 5*b = a + 2*a, -3*b - 6 = -3*a. Suppose -b*h - 3*r + 18 = 0, 0 = 4*h - 0*r - r - 19. What is the biggest value in 0.4, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(2*1*(-9)\/(-24)). Suppose -h*o - a + 14 = 0, -o = 2*a - 0*a - 7. Solve 0*i - o*b = -2*i - 12, 2*b = -2*i + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-122)\/2464 - (-103)\/1648. Suppose -2*j + 0 + 4 = 0. Sort 1\/7, j, u in decreasing order.\nAnswer: j, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 242*h**3 - 29*h**2 + 6*h - 20. What is the ten thousands digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)\/(y**(-1)\/y)*y**(4\/5)\/(y\/(y*y**5)) assuming y is positive.\nAnswer: y**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(176))**2 + (sqrt(396) + sqrt(396) + 3)**2.\nAnswer: 32*sqrt(11) + 1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.93 + 96. Let t = k - 0.07. Which is the second smallest value? (a) t (b) -2\/3 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708434447 to the power of 1\/2, to the nearest integer?\nAnswer: 52043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Factor 13*q + 22*q**4 - 2 + 5 - 1 + 5*q**n + 38*q**3 + 32*q**2.\nAnswer: (q + 1)**4*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v + 5. Let x(q) = -7*q + 1. Let u(z) = z + 6. Let m(p) = p + 5. Let n(k) = -6*m(k) + 5*u(k). What is v*x(t) + 6*n(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and (780\/(-40))\/(1\/(-4))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiiiiizii. What is prob of sequence iii?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w = 45*w - 486. Let x be (-56)\/(-9) + (-18)\/w*1. Solve 5*r - 11*r = x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/((-10)\/(-4) - 2). Let j be (-12)\/h*(-3)\/6. Suppose 3*u + 3*r = -14 + 38, 4*u - 50 = 5*r. Solve -3*c = 2*d - j, 2*d + 0*c + u = 3*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*z**3 + 24*i**2*z**2 + 2*i**2*z - 4*i*z**2 - 81*z wrt z.\nAnswer: 6*i**2*z + 48*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 + 207. What is the remainder when c is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6079, 30869, 72187, 130033, 204407, 295309, 402739?\n\"Answer: 8264*w**2 - 2*w - 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29684*c**3*g**2*q + c**2*g*q + 15*c**2*q + 4*c*g**2*q + 27*g**2*q wrt c.\nAnswer: 178104*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 5 (b) -4 (c) 1\/2 (d) -1050\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1416*i*y**4 + i*y**2 - y**2 wrt y?\nAnswer: -33984*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 28*o - 303. Let h be s(10). Let q = 0.51 - 0.01. Which is the third biggest value? (a) 2 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 10*s\/3 + 56.\nAnswer: -2*(s - 12)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/24370 and -20\/56051.\nAnswer: 560510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*z**3 - 80*z**4 - 32*z**5 + 28*z**3 + 0*z - 35*z**3 - 20*z**2 - 2*z.\nAnswer: -2*z*(z + 1)**2*(4*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/99 and -28\/2307?\nAnswer: 76131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + (-1 - 9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 - 3*j + 3. Let q be g(4). Is q\/(-6)*(-1 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:29 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4\/5, -3\/4, 0.05, 6\/35?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-2*w + 0 + 0) + (-3 + 2 + 2)*(0*w + 5*w - 3*w))*(603 - 603 - 62*w**3).\nAnswer: -248*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -347*w - 13. Let l = 96 + -98. Let y be v(l). Suppose -2*r - 3*s = -5*r + y, 4*r = -s + 908. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1399*u**3 + 15*u**2 + 928*u - 8. Let z(s) = 200*s**3 - 2*s**2 - 133*s + 1. Let q(w) = -2*a(w) - 15*z(w). Find the second derivative of q(h) wrt h.\nAnswer: -1212*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -28. Let h(a) = 12*a - 1. Calculate the remainder when h(q) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9370162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 876737018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23351\/16 + 1460. Find the common denominator of -61\/20 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -31, 3, 13, 0 in decreasing order.\nAnswer: 13, 3, 0, -1, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.548782859 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9902 + -9901.999985347. What is d rounded to 7 dps?\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 62. Let m be n(11). Suppose -5*t**2 - 154*t - 1034 + m*t - 187*t + 1044 - 3390 = 0. What is t?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381510 divided by -30?\nAnswer: 12717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2541.62+-2938\nAnswer: -396.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 41 - 13. What is the units digit of 4\/14 + (-103)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25*o + 12. Let w(x) = 12*x + 7. Let d(k) = -2*i(k) + 5*w(k). Let q = 16 - 9. What is the remainder when d(q) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008142 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-514*v**4 + 10*v**5 - 13*v**5 + 459*v**4).\nAnswer: -6*v**5 - 110*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {u: 1, l: 1, r: 1, w: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*y**3 + 599*y - 2*y**2 - 599*y + 2 in the form m + f*y**2 + t*y + r*y**3 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 6618?\nAnswer: -6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 1)*(-20)\/(-6). Suppose -2*q + 282 = -2*r, u*q - 673 = 5*q - 3*r. Let f = -55 + q. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = -6*k. Let z = 4 + k. Let r be (z - -12) + 2\/2. Calculate the highest common factor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + c**2 + 3*c**2)*(-c + 8*c - 3*c)*(-1 - 1 + 1).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6c97e (base 15) to base 9\nAnswer: 577142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/7 + 620*q**2\/7 + 10112*q\/7 + 40704\/7 = 0.\nAnswer: -8, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13616 and 120?\nAnswer: 204240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 9*j - 7*j - 3*j)*((-3*j - 2*j + 3*j)*(j - j + j) + 2*j**2 - 3*j**2 - j**2).\nAnswer: -8*j**5 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3097094 by 637.\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfqu when four letters picked without replacement from {f: 2, u: 1, y: 4, k: 4, l: 1, q: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-8)*-2 + ((-15345)\/(-220) - 93).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3215576 is divided by 56405.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83844 and 29592?\nAnswer: 503064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -20, -26, -22, -2, 40, 110?\n\"Answer: v**3 - 4*v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/176 - (-6)\/33. Let t(r) be the third derivative of l*r**4 - 5\/6*r**3 + 0*r - r**2 + 0. Let u(b) = b - 2. Calculate 3*t(k) - 8*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3881*f**2 + 3166*f + 14. Let g(w) = 3885*w**2 + 3167*w + 12. Let j(r) = -7*g(r) + 6*m(r). Find the second derivative of j(k) wrt k.\nAnswer: -7818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*1275*82\/1845*1\/2.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.7, 6\/223, 0 in decreasing order.\nAnswer: 7.7, 6\/223, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384 + 668. Suppose -x + 1034 - n = 0. Is 79 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31289 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6413a (base 11) in base 9?\nAnswer: 152024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = 43533*t - 43491*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 33*g - 6*g. Is g < -8\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b**2 - 31*b + 243. Determine f(8).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 384068 and -5879666?\nAnswer: 6263734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0762 - 0?\nAnswer: 1.0762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 2*t - 13. Let m be q(-6). Let x = 93 + m. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 902664 and 52934.\nAnswer: 17150616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113569?\nAnswer: 3, 73, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 14504720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose -4*i + 2*i = -2*q - 6002, h*i - 2 = 0. Round q to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2661 + 3814. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/36 and 121\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141375?\nAnswer: 5, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*g + 192*g = -218*g - 235*g - 540 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {g: 1, x: 1, e: 3, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20203 and 384124.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 3 = 0. Suppose 4*o - 11 = y. Suppose 4*w**2 - 3*w**2 + 3*w**4 + 2*w**o - 7*w**2 - 5*w**3 = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 4*j**7\/63 + j**6\/3 + 2*j**5\/3 + 5*j**4\/9 - j**2\/3 - 7*j. Factor u(r).\nAnswer: 2*(r + 1)**4*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -1\/3 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 91*w - 616. Let b be a(37). Let n(f) = 2*f**2 - 26*f + 2. Determine n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/210*f**7 - 1\/30*f**5 + 1\/15*f**6 - 1\/84*f**8 - 1\/6*f**4 + 1\/6*f**3 - f**2 + 0*f + 12. Suppose p(a) = 0. Calculate a.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 268325 + -141339. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0 + 1\/15*h**5 + 1\/3*h**3 + 0*h + 1\/72*h**6 - 1\/6*h**4 + h**2. Let m(o) be the first derivative of u(o). Factor m(z).\nAnswer: (z + 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3045)\/(-174)*(-232)\/(-130). Which is smaller: 31 or g?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 + 5 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 102*r**2 - 56*r**2 - 43*r**2. Let z(h) = 21*h**2. What is l(z(n))?\nAnswer: 1323*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4.1, 2\/3, 14 in decreasing order.\nAnswer: 14, 4.1, 2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -3 - (10 + -34 + -10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7044 + 7047. Solve -5*s + 12 = -q*w + 2, 4*s + 3*w - 35 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 854 = 9*g - 449 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let q(p) = 12642*p. Give q(u(l)).\nAnswer: -25284*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132822 and 15698.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b - 53*b + 5236. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112421 - 10?\nAnswer: 112411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)*2 - sqrt(44))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -289. Let d(j) = j**3 + 20*j**2 + 18*j - 12. Let y be d(k). Which is greater: y or 47\/6?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43a4 + 5?\nAnswer: -439d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -40*v + 536. Give r(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279157921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/5 + 2904*j**2 + 53601088*j\/5 + 214171776\/5 = 0. Calculate j.\nAnswer: -2268, -4, 5902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-155)\/175. Let f = -0.04 + 0.03. Let d = f + 1.01. Which is the nearest to -1? (a) m (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150.13424 - -150.2. Round f to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 1162*t + 27252. Determine v(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641 - 6.5726.\nAnswer: -647.5726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 20 = 0. Let o(y) = -y**2 + 6*y - 6. Let k be o(c). Find the common denominator of (2 + 84\/11)\/k and 23\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887, -1754, -2621, -3488, -4355?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4) + 2)*(16 + -14). Which is the fourth smallest value? (a) -0.04 (b) -4\/3 (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1873 - 467. Suppose 0 = 6*u - 8*u - r. Let q = u - -1997. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11847 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**19*x**(-2\/3))\/(x**(5\/6))**(1\/4) assuming x is positive.\nAnswer: x**(161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - p + p + 6*p**2 - 5*p**2 + p**2 + (p + 4*p - 3*p)*(-p - 2*p - p) to f*p + v*p**2 + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + x = 0. Let j(k) = -k + x*k - 4*k + 7*k. Let w(y) = -37*y. Give j(w(z)).\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuu when four letters picked without replacement from vvuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, -102, 4 in increasing order.\nAnswer: -102, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -473.1?\nAnswer: 520.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5383 + -3?\nAnswer: -5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -m + 6, -m = 2*m + 2*z + 3. Put m, 41\/5, 5 in decreasing order.\nAnswer: 41\/5, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**2 - 70*i - 25 = 0. What is i?\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 121*r**2 - 20*r + 121. Is y(-9) 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 10:43 AM and 11:24 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1254?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9880 and 2704.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:45 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/71 or 8?\nAnswer: 14\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minus -174498.0698264?\nAnswer: 174530.0698264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392110 rounded to the nearest one thousand?\nAnswer: -1392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 33*s**2 + 21*s**2 - 56*s**2. Let r(a) = -7*a - 3. Let x(p) = p + 23*p - 3*p + 8. Let t(g) = 8*r(g) + 3*x(g). Determine t(y(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 199. Let v(k) = 2*k. What is v(i(m))?\nAnswer: 8*m + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/2018133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*((-2 + 1*sqrt(208)*-4)*-3*2 + -2)**2.\nAnswer: -239811 - 3840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6)\/(-4)*(-3 - -9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.533?\nAnswer: 0.2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1455120280097 + -0.1\nAnswer: -1455120280097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320608197 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133877 is divided by 1263.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 140, 316, 562, 878?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2388, -4791, -7194, -9597, -12000?\n\"Answer: -2403*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + (3 - 1) + -3. What is the smallest common multiple of 12 and 6*((-12)\/k + (-3)\/(-1))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3 + 56*m**2 - 204*m = 0.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385*f**2 - 696*f**2 - 269*f**2 to the form o*f**2 + w*f + d and give o.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/3 - 4\/12. Let z(n) be the third derivative of 0*n**q + 3*n**2 - 1\/120*n**6 + 0 + 0*n**3 + 0*n + 0*n**4. Find k, given that z(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48460754899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 1043989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*(-5)\/75)\/(4\/(-15)). Which is the third smallest value? (a) -3 (b) t (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1298 - 2224. Let f = g + 1995. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 < -583421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -839 - -582. Let w = -256.99999889 - c. What is w rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**4 - 2*j**3 + j**2 - j. Let c(p) = -p**4 + p. Let z(k) = 5*c(k) + 5*r(k). Suppose z(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67655558837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**3 + 132*g**2 - 236*g + 132. Let x(o) = 29*o**3 + 529*o**2 - 950*o + 527. Let t(f) = -15*c(f) + 4*x(f). Determine y so that t(y) = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112*a**3 + 733*a - 721*a - 681 + 20*a**3 - 2277 - 1029 with respect to a.\nAnswer: -276*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 136068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(125)) + (((sqrt(50)*-3 - sqrt(50))*-6)\/sqrt(10))**2)*5*-2*-5.\nAnswer: -750*sqrt(5) + 144150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o**2 - 14148*o + 45590. Give t(829).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 37 = 4*a + 20*t, a + 5*t = 28. Suppose -2*s - 5 = r + 3*s, s = -a*r + 13. Solve r*d + 4 = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14006 = -59*r + 6762. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0402*0.4.\nAnswer: 0.01608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -42664, 0.16 in descending order.\nAnswer: 0.16, 1\/11, -42664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (79\/316 - 114\/(-4))*-22160. What is k rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4617*f**3*r**3 - 12*f**3*r - 2*f**2*r**3 + 3*r**3 - 1468*r**2 wrt r?\nAnswer: -27702*f**3 - 12*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 9\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*m + 12138 = -10698 + 6668 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*r - 28 = 0, -2*r = -d - 6*r - 11. Suppose -2*z - d + 3 = 0. Let s = 1 + z. Round s to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:09 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/((-33)\/(-2)) + 12\/9. Suppose 4*u - h*r = 618, -6*u = -7*u + 2*r + 147. What is the remainder when u is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4391.233 weeks to microseconds.\nAnswer: 2655817718400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1064 and 1216?\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15) - 34247\/(-12). Let z = 2806 - c. Let x = -47 - z. Put -4, x, 5 in descending order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 2*o + 17. Let p be v(7). Let k(a) = a**3 + 17*a**2 - 17*a + 19. Let j be k(p). Suppose j = i - 1. Solve 14 + i = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and 363?\nAnswer: -29403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1793374313 - -0.3.\nAnswer: 1793374313.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45016 and 17212?\nAnswer: 585208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3222748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480825985?\nAnswer: 3, 5, 11, 379, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 153?\nAnswer: -14\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 7 + (0 + -2 + 3 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than -25973128?\nAnswer: -25973100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 670\/(-462) + (-49332)\/406989?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 - 7*a**3\/3 + 5*a**2\/3 - a\/3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*j, -3*s - 26*j = -29*j - 94158. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -213063 + -438?\nAnswer: -213501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**5)\/(a**(3\/4)\/a))**(-5)*a**6\/a**(-4)*a**(3\/2)\/a*a*a*a**(2\/23) assuming a is positive.\nAnswer: a**(-2637\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*g = -32, 6*g = 3*g - 15. What is the greatest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-12)*56)\/((-2)\/(-15)). Solve 3*w + p*v = 34*v - 8, 3*w = -4*v + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5925 and 9?\nAnswer: 17775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n**5\/5 + 218*n**4\/5 + 166*n**3 + 226*n**2 + 602*n\/5 + 92\/5 = 0. Calculate n.\nAnswer: -23, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 10*z**3 + 0 + 5.\nAnswer: 10*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) 0.057 (c) 3 (d) -1\/2 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67712858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.5 - 36.366. Let t = 0.134 - v. Which is the third smallest value? (a) -6 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46652 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-350 + 134 + 81)*(u - 3*u + 3*u) as r + l*u and give l.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29561, 117971, 265313, 471587, 736793, 1060931?\n\"Answer: 29466*k**2 + 12*k + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1351\/(-1960) + (45\/21)\/3. Let h(l) be the first derivative of 3\/32*l**4 - 3\/16*l**2 - c*l**5 + 24 + 1\/24*l**3 + 0*l. Factor h(b).\nAnswer: -b*(b - 3)*(b - 1)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7) - (-2)\/14. What is the third smallest value in -0.1, 1, 11, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514 is divided by 520?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039068495 to the power of 1\/3, to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997077 greater than 7997076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*g - 16 = 11842, -5*m - 4*g = -29645. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + (2 - -2) - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 21. Let a be (2\/(-4))\/(1\/(-4)). Let v be ((-35)\/14)\/((-1)\/a). Solve 2*k = -4*f - x, -3*f = -v*f + 3*k - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 10*j + 2. Let t be v(5). Suppose 0 = -5*s + t*s + 45. Solve 4*k = 0, -k + 2*k = -3*w + s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 3, 0.002, -1, 5, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33*r + 152. Let t(a) = -21*a - 101. Calculate 5*s(z) + 8*t(z).\nAnswer: -3*z - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10534745 by -533.\nAnswer: 19765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (1 - (-1 + -2) - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 504 - 623 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 991*t - 609497. Calculate m(615).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 148 = u, -4*v + 454 = 4*u + 146. Suppose 0 = -50*o + 55*o + v. Let m(z) = -53*z + 25. Let q be m(o). What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, s: 1, b: 1, j: 1}. Give prob of sequence ss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13*h + 3*h + 0 - 13*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l + 3*l**3 - 5*l**3 + 4 + 3*l**3 - 8*l**2 + l**2. Let s be o(6). Suppose 3*n - 44 = -h, -8*n + s*h = -4*n - 80. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*3)\/(-6*sqrt(45))*4 - 3*(sqrt(64)\/(sqrt(24)\/sqrt(3)) + -2))**2.\nAnswer: -88*sqrt(2) + 1292\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -13) + -11 + 6 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 - 4 - 15\/3. Suppose -f*k + 11*k = 2227. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42442328*v**3 - 29264044*v**2 - 2*v.\nAnswer: 254653968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/2227 or -1?\nAnswer: 20\/2227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005785mg in kilograms?\nAnswer: 0.0000000005785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-5 + -3 + 5 - 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frygdyc. What is prob of sequence rc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -0.2 (b) 1\/4 (c) -1 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = -5*q + 14*m + 33, m - 11 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0 + 2*v**2 + v - 1\/3*v**3. Differentiate j(g) with respect to g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.98356km to micrometers.\nAnswer: 72983560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from ppbdbppj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29655 is divided by 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 18*m**2 + m - 14. Let b be z(18). Suppose 3*x - g - 13 = 0, -4*g = b*x - g - 13. Solve -3 = 2*s + 3, 0 = -5*f - x*s - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -54536\nAnswer: -981648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*s = -25, b + 9*s - 157*s + 735 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(96))\/sqrt(6))\/sqrt(8) - (sqrt(96)\/(sqrt(12) + sqrt(24)\/sqrt(2)) + sqrt(8)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in 1\/3, 0.5, 9, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhhfbjjfjhfbfjhff. Give prob of picking 1 j, 1 f, and 2 h.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22434 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 2, s: 4}. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 + 40441624*w + 102220309484836 = 0?\nAnswer: -5055203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 424016.\nAnswer: 84803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 + -12.042. Which is the closest to -1? (a) y (b) -3 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/((-210)\/(-220)) + -13. Let i(j) = 9*j - 87. What is i(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 267, 523, 777, 1029, 1279, 1527, 1773?\n\"Answer: -g**2 + 259*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 7) in base 11?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156.21 + -0.79. Let p = 77 + v. Let t = 80.3 + p. Which is the nearest to -2? (a) 1\/6 (b) t (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, k: 12}. Give prob of picking 2 k.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 10*k - 5. Let a be d(-5). Let b be (-2)\/a - (-1039996)\/10. Round b to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 = 2*h + 64. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-2)\/(-4) + 0). Let j be 2*((3894\/(-150) - -26) + (-2)\/25). Which is the smallest value? (a) j (b) 5 (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600*l = 1687*l - 1044 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 71*n**2 + 4*n - 11. Let l(w) = -2*w**3 - 66*w**2 + 3*w - 8. What is -3*c(s) + 4*l(s)?\nAnswer: -5*s**3 - 51*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -k + g - 19, -2*g = 4*k - 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/60 - 7*n**5\/60 - 11*n**4\/24 - 19*n**3\/6 - 9*n**2 - 3*n. Does 72 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2370 - 2371. Let s(d) = -61*d + 1. Calculate s(w).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 6*g - 6. Let o be -3*2*((-1)\/(-2) + -1). Suppose 3*a - 320 = -3*l - 2*l, o*l - 3*a = 168. Let p = l - 54. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10857.2 + -10857. Suppose 0 = -3*p - 2*r + 69, 6*r - 4*r = 5*p - 99. Which is the third biggest value? (a) u (b) 2\/3 (c) p (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**7\/42 - 31*b**6\/24 - 105*b**5\/4 - 1755*b**4\/8 - 32*b**2 + 3*b + 3. Determine x so that v(x) = 0.\nAnswer: -13, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:59 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(500) + 2) + 2*(-1*sqrt(500) + -3)**2 + 5.\nAnswer: 170*sqrt(5) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347717 is divided by 985?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130643474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364\/187 - (129 + 6771\/(-61))?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/9*(10 - -1499) is divided by (297\/(-18))\/(0 + (-3)\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1469 or 3013?\nAnswer: 3013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 72 = -72 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:59 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53432 is divided by 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 12, -3*w = -4*w - s + 554. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68084.23ug?\nAnswer: 0.00006808423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*g + v - 8, v = -4*g + 12. Let p be (g - 5)\/((-1)\/91). Let f = -20 + 33. What is the greatest common factor of p and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 46331?\nAnswer: 46332.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8324 is divided by 246.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 22*s**2 - s - 19. Let k be x(-22). Is 2 a factor of (k - -5) + 17 + -2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 18}. What is prob of picking 1 n and 2 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 1. Let q = -27 + 59. Suppose j + q = -14. Let f = -43 - j. What is t(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1669, -2242, -3, 5 in decreasing order.\nAnswer: 1669, 5, -3, -2242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/24 + -9)*(-4)\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187385 is divided by 3071.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.2 - 0.2. Let i = -12.9932 + l. Round i to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, 1 x, and 1 s when four letters picked without replacement from {f: 1, k: 1, s: 1, v: 1, j: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/((-80)\/(-35)))\/((-5)\/(-230)). What is the greatest common factor of h and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49786422 divided by 7.\nAnswer: -7112346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053982 * -0.6.\nAnswer: 0.0323892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**7\/60 + n**6\/120 + n**3\/6 - 5*n. Let b(g) be the second derivative of x(g). Find the third derivative of b(y) wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/3*1)\/2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -453 times 857100\nAnswer: -388266300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -2\/3 (c) -43 (d) 0.4 (e) -183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k*k)\/(k\/(k*k**(2\/5)\/k)))**(11\/4)\/((k\/(k\/(k\/((k\/k**2*k)\/k))))**(7\/2))**(2\/25) assuming k is positive.\nAnswer: k**(27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o + 1. Suppose h - 8 = 2*x, -2*h - 1 + 3 = 3*x. Let r(w) = 13*w - w - 3 - 14*w. What is x*n(t) - r(t)?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 less than -1.1?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 3, 5, 9, 15, 23?\n\"Answer: o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78d288 - -4?\nAnswer: -78d284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:39 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 2*i - 3*p + 8, 3*i + 4*p = -8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4406745047582 and 5?\nAnswer: 4406745047577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 10*g + 34 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:04 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5198 is divided by 325.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1656)\/(-21))\/(-4)*1\/((-4)\/28). Solve -l + 5*p = -17, -f*p - 8 = -136*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 5:14 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:20 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.66 - -1.7. Let k = y + -0.14. Is 4 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/8, 5, 2 in decreasing order.\nAnswer: 5, 2, 1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, 23701 in increasing order.\nAnswer: -45, -2, 23701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*w + 3*w - 9, 4*u - 20 = -4*w. Let b = -1018806\/5 - -203762. Factor 26\/5*h - b + 6*h**u.\nAnswer: 2*(h + 1)*(15*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 5*z**4\/24 - 11*z**2 + 15. Let l(a) = -2*a**2 - 1773*a. Determine l(q(v)).\nAnswer: -50*v**2 - 8865*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**7\/2520 - r**6\/540 - r**5\/45 + 7*r**3\/3 + 5*r**2\/2 + 52. Let c(k) be the third derivative of g(k). Factor c(y).\nAnswer: y*(y - 4)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2940 and 840?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -46*w + 3. Let p(t) = 45*t - 4. Give 6*p(x) + 7*u(x).\nAnswer: -52*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 17 = 315. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - g)*(0 + g + 0) - 17*g**2 - 4*g**2 - 23*g**2 + (3*g - g - 3*g)*(0*g + 0*g + g).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 d, and 1 n when four letters picked without replacement from {d: 1, w: 2, n: 8, c: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 42. Sort -3, -5, 0, s in increasing order.\nAnswer: -5, s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60506566 is divided by 2238.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*q + 8, -4*g + 4*q = -9*g + 46. Suppose -2*i + 2059 = -2*d + 5961, -5*i = g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6191441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -20. Calculate the remainder when 19 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93257, 184821, 276383, 367943, 459501, 551057, 642611?\n\"Answer: -z**2 + 91567*z + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057828*c - 259 = -1057842*c + 469 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36032 and 10?\nAnswer: 180160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -203455?\nAnswer: 203501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21798\/17 + -1280. Let d be (0 - (-210)\/(-27))*(-3 + 9). Let s = 49 + d. Calculate the common denominator of s and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95493, -190998, -286503, -382008, -477513?\nAnswer: -573018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30914 times -109\nAnswer: -3369626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*3*2. Suppose 0*z + 2*z = 0. Which is the third smallest value? (a) i (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 0*b - 3*b)*(-137 - 15 - 286)*(23 + 4 - 9).\nAnswer: -15768*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -230\/7 (b) -131 (c) -5\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55475.1713 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4)*(-2*z**2 + 2*z**2 - 12*z**2) + 25*z**2 - 17*z**2 - 14*z**2.\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 722*n**5*v*w - 9*n**4*w + n**2*v*w - 3*n**2*v - 12*n**2*w - 22*n*v + 1 wrt n?\nAnswer: 43320*n**2*v*w - 216*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 2*a**2 - 5*a. Let p(d) = 4*d**3 - 5*d**2 - 9*d. Determine -3*p(r) + 5*s(r).\nAnswer: -2*r**3 + 5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2 + 0*j**3 + j**3 + 2*j**3 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 4. Let p(j) be the first derivative of -j**3\/3 - 5*j**2\/2 - 7*j + 457. Give p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-2 - -3)) + (-20 - -27). Suppose -6*b = -b - 25, l*m - 3*b = 9285. Round m to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -1193, 53 in descending order.\nAnswer: 53, -4, -8, -1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1367 + 1118 = 0. Let l = -220 + n. List the prime factors of l.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239728 + 2*c - 2*c + 239496 - c to the form a*c + s and give s.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260925 = 3502*c - 3573*c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 23, 3\/5, -1, 4, 0.3, 2.\nAnswer: -1, 0.3, 3\/5, 7\/4, 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5310 + 41020?\nAnswer: 46330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -112884, 4, 1 in decreasing order.\nAnswer: 202, 4, 1, -112884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, -1\/4, 2, -9, 0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3313 + -897730\nAnswer: -897729.6687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/1548)\/(2\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/10 + 23*p\/5 - 93\/2 = 0.\nAnswer: 15, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 627, 601, 529, 387, 151, -203?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:13 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5)*((2*a + 2 - 2)*(-1 + 4 - 5) - a + 0*a + 3*a - 1 - 2*a + 1 + 4*a - 2*a - a + 21*a + 4*a + 3*a) to the form x + w*a and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 - 33 = 0. What is the remainder when (-560)\/r - 2\/(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.4, -0.1, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2945034.\nAnswer: 2, 3, 163613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463473909 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128333 is divided by 438.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 5. Suppose 5 = 4*u - m. Let p = 9 - u. What is the remainder when 14 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837889532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:11 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7040 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3630, 35356, 88234, 162264, 257446?\nAnswer: 373780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2291*k*l**2 + 150860603*k - 164*l**3 with respect to l.\nAnswer: -4582*k*l - 492*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.498996 and -0.5.\nAnswer: -0.001004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 52525?\nAnswer: 1\/10505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjnjncnoccnnjoncjn. What is prob of sequence cnco?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k)\/(k**(-6)\/k)*(k\/k**(-1))**(1\/15) assuming k is positive.\nAnswer: k**(197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttzc when four letters picked without replacement from zmctnmtz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 7*g**2 + 2*g - 1. Suppose 5*b + 5*j = 30, -2*b + 2*j + 12 = -4. Let i be k(b). Let x = -8 + i. Sort 1, x, 4.\nAnswer: 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -109\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 55*o + 13. Let b(t) = -111*t - 24. Calculate -6*b(p) - 11*g(p).\nAnswer: 61*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3510 + 3510.000005026. Round a to 7 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 1.9. Let t = 0.4853275 - 2.4853279. Let i = t + g. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - 174. Let w = d + 1418\/7. Which is the second biggest value? (a) 2\/9 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9080408 by 181.\nAnswer: -50168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/105)\/m))**23 assuming m is positive.\nAnswer: m**(4876\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - -388. What are the prime factors of (4 + 0)*k\/40?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -51. What is the third smallest value in -1, 0.2, y, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2150 + 10281. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51\/10 - 541\/110. Let s = 18811 - 18810.93. What is the smallest value in s, -2\/3, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3880*b - 3924*b. What is the greatest common factor of 241 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d + 8. Let a be c(5). Suppose 4*f - a = -2*k - 3, -3*k = 3*f - 33. Suppose -f = -h + 203. Round h to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (405905\/(-35) - (-4)\/14). Find the third derivative of -n*v**3 + 11358*v**3 + 135*v**2 + 62*v**2 wrt v.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h**2 - 163*h - 331. Let z be i(-2). Solve 256 - 81 = z*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2 - 19*r - 17. Let o(i) = -3*i**2 - 10*i - 9. Let l(m) = 4*j(m) - 9*o(m). Is l(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25958489?\nAnswer: 61, 425549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*56\/(-378)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 497084302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 244*l - 8. Let o be n(2). Let p(t) = t**2 - 4*t + 4. What is the remainder when ((-3)\/8 + 468\/o)*155 is divided by p(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -839 - -9?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + 0 + 2 - 4 + (-2 + 3 - 2)*(-2 + 0 + 0) - 6 + 3 + 2 + 1 + 0 + 0 + 167 - 43 - 25)*(-4*s**2 - 2*s**2 + 5*s**2).\nAnswer: -101*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(6\/11))\/y**1*(y**(-2\/5))**(-19\/4))**(5\/7))**(-36\/7) assuming y is positive.\nAnswer: y**(-2682\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 113.3. Let j = g - 1.3. Let d = -71 + 70.6. What is the second biggest value in d, j, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 360 + -351. Is g\/(-3) + 3\/6*6164 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + -113213103?\nAnswer: -113213230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Let m(q) = -5*q**3 - 2*q - 4. Calculate -m(o) + 4*x(o).\nAnswer: 5*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 11*r + 4. Let v be m(4). Suppose u = 3*o + 2*o - 23, o + 4*u + v = 0. Solve o*i - 4 = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2012351014 - 5?\nAnswer: 2012351005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**30\/(w**13\/w) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4691\/3 - -1565. What is the closest to 5 in 14, m, -1, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675075546.\nAnswer: 2, 3, 4167133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*w**3 - 122046*w**2*x - 4*w**2 - w*x - 2*w - x - 8525 wrt w.\nAnswer: 72*w - 244092*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:52 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(408) - sqrt(408))\/sqrt(12) - sqrt(34))\/(sqrt(18)\/(sqrt(9)*2)) + 1.\nAnswer: -2*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001965 a multiple of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l = -70*l + 1657. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2669085 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 1. Let v be -5 + (3 - (-2 - o)). Let q be ((-56)\/32)\/(v\/4). Is q at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137\/6 - 679\/30. Is t <= 4.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 84 - 84. Let p(i) = -2*i**2. What is p(u(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*w + 15 = 167, -108 = -3*d + 3*w. Calculate the remainder when 95 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 961*d**3 - d**2 - 2*d - 955*d**3 - 8 - d wrt d?\nAnswer: 36*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3806238.6 and 354.\nAnswer: 3806592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*z + 16. Suppose -z = -2*m + 5*b, 5*m - 4*b - 76 - 100 = 0. 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 -84 divided by 42?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66629501 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*l*m**2*o - 25*l*m**2 - 2*l*m*o + 266*m**2 - m*o wrt o?\nAnswer: -8*l*m**2 - 2*l*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6442980.\nAnswer: 2, 3, 5, 73, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763582183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4664862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*g - 27*g - 7 + 3 as w + d*g and give d.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -303232320?\nAnswer: 303232313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myl when three letters picked without replacement from lmlllrlmlrlylplyymm?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/20 - y**4\/12 - y**3\/6 - 16*y**2. Determine h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 5. Give a(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -75*h + 44. Let a(n) = -18*n + 10. Give -9*a(p) + 2*k(p).\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/30 and -11\/365715.\nAnswer: 731430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let g(y) = 5*y - 5. Let m(j) = -g(j) + 4*s(j). Let a be m(-5). Suppose -h = -a*h + 40. What is the lowest common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/25*(-5)\/2. Let b(d) = 16*d + 10. Is b(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 79, 136, 217, 328?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 152700, 152719, 152752, 152799, 152860, 152935, 153024?\n\"Answer: 7*r**2 - 2*r + 152695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 15*k - 168 = 0. Suppose -27*d + 21*d + 84 = 0. What is the highest common factor of d and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8527834 divided by -326.\nAnswer: 26159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 l when three letters picked without replacement from {h: 1, w: 1, l: 1, q: 1, c: 2, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(21\/(-18)*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 248*v - 2436. Give t(9).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3*i**5\/20 - i**4\/2 - i**3\/8 + 3*i**2\/4 - 13*i. Find x such that o(x) = 0.\nAnswer: -1\/2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 482*u**2 + 4203*u + 7754760?\nAnswer: 964*u + 4203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1001011110010001 (base 2) to base 5\nAnswer: -2220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 9*m - 4*m - 11, -m + 7 = 3*x. Suppose -14*j**3 + j**4 - j**x - 9*j**3 + 3*j + 20*j**3 = 0. What is j?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4)*a**5)\/(a**1\/a*a)**(1\/44))\/((a\/a**(1\/2))**(-40)\/(a\/(a\/a**(1\/4)))**(1\/5)) assuming a is positive.\nAnswer: a**(3303\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + x = 22*f + 336, 0 = -4*f - 5*x + 660. What is the highest common factor of f and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*p + 704 + 741 + 11 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -231*i**3 + 277*i**2 + 9*i. Let l(f) = 116*f**3 - 138*f**2 - 4*f. Let g(q) = -9*l(q) - 4*y(q). What is the third derivative of g(a) wrt a?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -518*f**6 - 101*f**2?\nAnswer: -62160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -53 - (-543 + 563 - (4 + (26 - 4)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*g + 242, -g = -2*r - 2*r + 234. Suppose 4*v = -12, -3*p + r = -4*v + 11. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccvcccc. What is prob of picking 2 c and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 3, f: 1, c: 1}. Give prob of sequence qf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2756 and 23956.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 19.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*k - 32 = 0, 1384*f + 2*k = 1383*f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2470 - -2559. List the prime factors of z.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 23 = -9*v + 4*v, 1 = v + y. Suppose -v = -5*x + 3*x. Let f(g) = g**3 + g**2. Let k be f(-1). Solve x*h + h - 12 = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11461424 (base 8) in base 10?\nAnswer: 2515732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011110 - 22?\nAnswer: 2011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662684828 is divided by 10055?\nAnswer: 10053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2665 and 498875.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - (-7 + -36). Let q = 12 - k. Let v = 48 + q. Solve 3*b + 12 = x, 3*x + 3*b - 5*b - v = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-94*3)\/(11529\/(-5490)). Which is smaller: o or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1172 + 1175. Determine u, given that -2\/9*u**4 - 2*u**2 - 4\/9 - 14\/9*u - 10\/9*u**m = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*a)*(-4*a - 6*a**3 + 4*a - a**2 - a**3 + a**2 + (3*a - 4*a + 4*a)*(5*a**2 - a**2 - 2*a**2) - 3*a**3 + 6*a**3 - a**3 - 4*a**3 + 8*a**3 + a**3).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r - 19. Calculate f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 25, -238?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118772 by -59386.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2541*i**2 - 187*i. Let k(d) = 41*d**2 - 3*d. Give -374*k(n) + 6*q(n).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2453*n - 650484 = 2435*n. What are the prime factors of n?\nAnswer: 2, 3, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4255 (b) 1.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26644 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*p + 63170967*h**3 - 3*h**2*p + 65995*h**2 + 2*h*p - p - 2 wrt h?\nAnswer: -6*p + 379025802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -898 + 899. Is 1\/10907 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -157700, 2\/3, -3 in decreasing order.\nAnswer: 2\/3, -3, -157700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 + (-4)\/6*3 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 * -5.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(385)\/sqrt(11)*-4)\/(sqrt(2000)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**3\/j)*j*j*j))**18)**39)**(-48) assuming j is positive.\nAnswer: j**33696","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-496)\/6*1\/(-12) and 16\/28*(-150)\/(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -3) + ((-40)\/35)\/(-4). Put 0.5, 14, r, -4\/7 in descending order.\nAnswer: 14, 0.5, r, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = 55301*k - 55291*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*w + 41 = -6*z, 0 = -2*z + 5*w + 6. Let d be ((-2)\/5)\/(z\/105). Let h be d*((-20)\/(-8) - 2). Solve 8 = 5*q - h*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407960377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 3*m**2 - 188 + m + 2*m**3 + 185 - m**2 to v*m + w*m**4 + h*m**3 + p + d*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2814 + 2814 - 361*h.\nAnswer: -361*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8*g + 6*g - 1032, 0 = 4*d - 5*g - 1014. What is the remainder when d is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 9:20 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 20*h**2 + 29*h + 40. What is the hundreds digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2552.536 kilograms to micrograms.\nAnswer: 2552536000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -79\/4. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 + 47*d**2 + 13*d + 23. What is the tens digit of l(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 5*c - 5*c**2)*(1166*c + 1352*c - 458*c) + (2 - 4 + 0)*(c**3 - 2*c**3 + 0*c**3) as s*c + m + w*c**3 + a*c**2 and give w.\nAnswer: -10298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w. Let k be 1 + (4 - 3) + -1. Is d(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 375 = 335 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39325010 rounded to the nearest ten thousand?\nAnswer: -39330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 1\/2*g**2 + 4*g + 1. What is the derivative of o(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3025935271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 q when four letters picked without replacement from {q: 5, v: 8}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let j be (2\/(-5))\/(x\/(-5)). Let g = 12\/17 - 122\/221. What is the second biggest value in j, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1330 and 596.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/770*14\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -7. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 823 - 255. Suppose -2*v - 48 = -a. Let z = v - 20. Calculate the remainder when z is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4327 divided by -7?\nAnswer: 4327\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 681666.7km?\nAnswer: 681666700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328679 - -2840331.\nAnswer: 2511652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2316 and 14.\nAnswer: 16212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 334059027 divided by 111353009?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*w - 4*c, 418*w + 3*c - 1 = 413*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + 2*o + 195 + 193 - 581.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 times 0.003?\nAnswer: 4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 0*r**3 + 5*r**3 - r**2 + 10166*r - 2*r**3.\nAnswer: r**3 - r**2 + 10166*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 2, e: 4}. Give prob of picking 2 u and 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Suppose 5*k + 9 = -4*x - 6, 12 = -3*x - 4*k. Let v(j) be the third derivative of 0*j**4 + 0*j - j**2 + 0*j**3 + 1\/30*j**5 + x. Calculate v(u(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 559546, 1119090, 1678634, 2238178, 2797722, 3357266?\n\"Answer: 559544*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 73*x**2 + 826*x + 121. Let z be u(59). Put z, 5, 4, -3 in descending order.\nAnswer: z, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**3 + z + 0*z + 1 + 2. Let s(f) = -7*f**3 - 2*f**2 + f. Let h(a) = -a**3 - a**2 + a + 1. Let u(c) = -2*h(c) + s(c). Calculate -2*i(t) - 3*u(t).\nAnswer: 3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 11. What is v(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32733779?\nAnswer: 13, 29, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 546 + -545. Let u = 14 - 9. Solve 0 = u*k - 4*k - m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -25.1. What is the nearest to i in 2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1544 + -632. Calculate the smallest common multiple of 12 and r.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101711, -406601, -914655, -1625873, -2540255, -3657801?\nAnswer: -4978511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/735 - k**6\/105 - 2*k**5\/105 - 172*k**2. Find b such that p(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let s be i(2). Let r(d) be the second derivative of 1\/2*d**3 + d - 1\/20*d**5 + 1\/6*d**4 - 2*d**2 + 0. Calculate r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/2)\/(2205\/2646)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. What is the remainder when 107 is divided by 2\/p*29 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j**2 - 13*j**2 + 64*j**2 + j**3 - 15*j**2 + 11*j - 11*j**2 - 20 = 0. Calculate j.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from cszcsccccczzczsscsc.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161345, 645366, 1452073, 2581460, 4033521, 5808250?\nAnswer: 7905641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m**2 - 222*m**2 + 50*m**2 + 222*m**2 + 2*m + 241*m**2.\nAnswer: 350*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 1. Let g be t(0). Let l be ((-96)\/28)\/(g\/7). Let j(f) = -f + 8. Is j(l) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -1435220.\nAnswer: -26\/71761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715830 is divided by 142983.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544501 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 47. What is the biggest value in 2\/7, -0.03, n, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 667199 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*w - 207 - 17, 4*o - 4*w = -896. Let a = -218 - o. Solve -a*x + 3*x = -y - 10, -10 = 5*x + 5*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*d + 122 - 137, 3*m = -2*d - 11. Determine f, given that 4\/7*f**2 - 2\/7*f**4 - 6\/7*f**m + 24\/7*f + 16\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 745 - 355. Suppose 2*j = 1084 + y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 = 0, -2*l + 6 - 21 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 2*z**2 + z + 4*z**2)*(-4 - 3 + 3)*(z - 2*z + 3*z).\nAnswer: -16*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18690 and 71022.\nAnswer: 355110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -3006, -68 in decreasing order.\nAnswer: 3, -1, -3, -68, -3006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > -64684\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27849 is divided by 13783?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -53137?\nAnswer: -53140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -4, 5, 6\/71?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vavq when four letters picked without replacement from {y: 1, t: 2, a: 6, q: 1, v: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 479 + -459. Differentiate 62*s - 21*s + 136*s - z wrt s.\nAnswer: 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 4*u + 3. Let k be q(-4). Solve -6 = -n + k*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*r - 18 = 6, 0 = -3*c + r + 10. Let i be (-10)\/4*(2 + -4). What is the remainder when 2\/i + (-138)\/(-30) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -295, -22, 439, 1094, 1949, 3010, 4283, 5774?\n\"Answer: b**3 + 88*b**2 + 2*b - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 2 + 2)*(36*m**3 + 3*m - 2*m + 0*m) as p*m**4 + b*m**3 + t*m + f + a*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + l - 6 = 0, -3*r + 5*l + 51 = 1. What is the greatest common divisor of 30 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692071613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i + 11. What is the units digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 379 - 1151. Let o be (-4)\/8*h\/(-2). Let c = -117 - o. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -12. Let j = -10 - t. Suppose 7 = -j*p + 3*b, -4*p + 3*b - 11 = -2*p. Solve p*f + 4*v - 24 = -v, 18 = -f + 5*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -921 + 909. Let v(p) = 6*p - 1. Suppose 9*m - 4*m = -10. Let l be v(m). Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 21*z - 30*z + 2*z**2 + z**2 - 4*z**2 - 6. Let w(l) = -l**3 + 6*l**2 + 6*l + 10. Let t be w(7). Suppose 32 = -t*x - x. Determine c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -300\/19 (b) -5 (c) 5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - 2.66. What is the closest to 2\/5 in 0.4, -16, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:24 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*855.9.\nAnswer: -855.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*d**3*z + 41549*b*d**3 - 13*b*d**2*z + 27*b*d + 3*d**3*z - 164*d**3 - 18*d**2*z - 2*d**2 + d*z - 7*d wrt d.\nAnswer: -6*b*z + 249294*b + 18*z - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345824 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(3\/7))\/p**(2\/3))**(-5\/11) assuming p is positive.\nAnswer: p**(-95\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 8, 50, 144, 308?\n\"Answer: 3*n**3 - n**2 - 10*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*x = 0, -s - 4*x + 1 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 7 - 412 - 56 = 0 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 30*s + 125. What is m(-21)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/(-44 + 4226))\/((-19)\/(-57))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -878\/105 - -16\/21. What is the common denominator of f and -43\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 10*s + 22. Let w be i(-2). Solve 12*n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-24)*1*(-2)\/(-40)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z + 85. What is the remainder when y(0) is divided by (1 + -2)*(-32 - -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 1106 = -25*f - 4*f, -3*j - 2229 + 2118 = 3*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 418*g**3*i*k + g**3*k - 2*g*i + 2*g + 2*i*k - 3*i wrt g.\nAnswer: 2508*g*i*k + 6*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 23, -3, -4, 0 in decreasing order.\nAnswer: 23, 0, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.25344us in milliseconds?\nAnswer: 0.02925344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 427*o - 321*o - 49. Factor -3\/7 + 0*r + 3\/7*r**o.\nAnswer: 3*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 16. Solve 3*j - 15 = 2*s - s, 5*j = z*s + 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(11) - (1 + sqrt(11))) - ((sqrt(132) - (sqrt(132) + 2*sqrt(132) + sqrt(132) + sqrt(132))) + sqrt(132))\/sqrt(12))*5)**2.\nAnswer: -450*sqrt(11) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3779+31442950\nAnswer: 31442949.6221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539240897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a + 23*a + 7*a**3 + 4*a**3 - 38*a.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 1. Let i be j(-2). Suppose 5*y = -8 + 23. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 522820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {q: 4, m: 5, d: 3, n: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkz when three letters picked without replacement from ddfkzdz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42337035 divided by 879.\nAnswer: 48165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k**3 - 3*k**2 + k + 4. Let d be h(-1). Let g(q) = -q + 37. Calculate g(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x**(3\/2))\/(x**(-1))**44 assuming x is positive.\nAnswer: x**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2 + 0*j**3 - 104*j**2 + 15606*j - 48*j**2 - 265302 - 153*j**2 + 2*j**3 = 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284\/3 + -94. Let -2\/3*a**5 + 0 - y*a + 0*a**2 + 4\/3*a**3 + 0*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + ((sqrt(147) + 2)*-2 - (-4 + 2*sqrt(147))) + -4)**2.\nAnswer: 336*sqrt(3) + 2388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -148?\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 956126607 to the power of 1\/3, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 661*j*o**3 + 9*j*o**2 - 2*o**3 + o + 10 wrt o?\nAnswer: 3966*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 32633 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 23 = q, 3*r - 20 = 3*q + 73. Let j be 105\/1*(30 + q). Calculate the highest common divisor of 84 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = -10*z. Let s(c) = c**3 + 19*c - 3*c**z + 23*c + 3 - 46*c. Suppose -4*n = -19 + 7. Determine s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*v = 4*v - 123, 5*v = -3*m + 334. Let o = m - -34. List the prime factors of o.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 9, u: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k - 2. Let x(i) = 19*i - 4. Let a(u) = -2*u + 2. Let l(w) = -3*a(w) - x(w). Give 5*l(d) - 4*r(d).\nAnswer: -13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1121446 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 41 - -41) + (1 - -43).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 16 = 5*g, -26*g + 26*g + 19*j = -76 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 + 18*b**2 - 76*b + 14. Is p(6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 36737 = 6*i + 36677, 5*r + 3*i - 79 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least -336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7735 is divided by 92?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/120 - 3*p**5\/20 + 13*p**4\/24 - 8*p**3\/3 - 14*p**2. Let s be x(8). What is the greatest common factor of 168 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-40)\/(-30). Let i = 30 + h. Let q = 202 + 50. What is the highest common factor of q and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 9, 5*l = 4*r + 2. Let v(b) = -5*b**3 + 3*b**2 - 2. What is the tens digit of v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12160 + 6081 + 1064*l + 6077.\nAnswer: 1064*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 15 + -3 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70) - sqrt(70) - sqrt(70))*1)\/(sqrt(1000)*-1 + sqrt(10)).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = 5*g, -2*g = g + 12. Let n be -1*j\/(-24) + -1. Let o = 20 + -21. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1029 and 135906204.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 - 1. Let b be f(-2). Let i = b - -38. Is (2\/1)\/(2\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11513 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: b\"What is the kth term of 13662, -5524, -24710, -43896?\n\"Answer: -19186*k + 32848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, 190, 1117, 2384?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-14))\/((-6)\/28). Let s = -110.2 + 109.2. Which is the closest to s? (a) -13 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from mmsmffmsfmmmmmss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 10368483.4000373.\nAnswer: 10368480.4000373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12071270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*-1*15\/10 - (21 + -23). Let v be 1\/4*8\/6. Let u = 8 - 8. What is the third biggest value in j, v, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.96 + 0.04. Let l = 5\/8 + 17\/24. What is the nearest to -0.1 in r, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84114996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v + 250*v**2 - 96058 + 95793 + 17*v. Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + -3*((sqrt(1539) - 3*(sqrt(1539) + sqrt(1539) + -1)) + sqrt(1539)) + 0) + -5)**2 + 1.\nAnswer: -14256*sqrt(19) + 1995029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*o - 614*o - 120 + 38 in the form c*o + f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 22. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*r = -43, 54 = -3*m - 2*m - 4*r. Let c be (-8)\/m - 8999984\/(-20). Round c to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.5, -4, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from vejvjjjejvvvvvtvev?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*a - 2 = 0, -s - 3*a = -3 + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-12)\/3 - (-610)\/2. Let x = -256 + i. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 15*l - 39. Solve 3 = -l*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r - 6. Suppose -2*p + 10 = 0, -3*k = -r*p - 36 - 38. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-1098)\/(-108) - ((-392)\/(-48) - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41220 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 + 2*c + 16. Let g = -674 - -664. Give a(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*i - 90*i + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(1996\/(-29940))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-4 + 1 + 5)*(38*a - 82*a - 19*a).\nAnswer: 252*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (10 - (3 + -5 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*q + 28, -5*b + 20 = -q + 4. Let y(l) = -34*l - 380. Let x be y(-12). Solve 2*z = b*a + x, 0 = 5*a + 39 - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0437 - -28.8563. Let h = -31 + w. Let q = 0.1 + h. Which is the smallest value? (a) -3 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 44 = -4*b + 3*b - 36 + 92, 0 = -12*b + 15*f - 162 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14) - 159\/273.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -5, -3 in descending order.\nAnswer: 12, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29538705 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5\/3 - 4*s**4\/3 - 68*s**3\/3 - 76*s**2\/3 + 64*s\/3 + 80\/3 = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, b: 4}. What is prob of sequence qbb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-17 - 90\/(-10)). Let c be (-31)\/(-3) - 1\/3. Let r = c - h. Solve r = 2*z - 3*t - 3 - 4, 5*z + 15 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2304 divide 80947583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q + 3. Let f(t) = t**2 - 3*t + 11*t - 3 - 4*t. Let h be f(2). What is the units digit of x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/9))\/p)\/((p**(-2)*p)\/p)*(p\/(p\/(p\/(p\/p**(-1)*p))))**(-47))**(-24) assuming p is positive.\nAnswer: p**(-6904\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 19. Put -3, b, -2\/11, 2 in increasing order.\nAnswer: b, -3, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 14) to base 12\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -394. Let v = -140 + h. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16009 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 139477 * -0.99\nAnswer: -138082.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 7*w - 2*z, 0 = -4*w + 3*z. What are the prime factors of 20 + (w - (-10)\/(-1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 2. Let d(u) = u + 1. Let f = -25 + 38. Let o = 19 - f. Let b = -80 - -69. What is b*d(a) + o*x(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -8 - (-1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l + 20 = 0. Suppose -a + l*a + 3*p - 18 = 0, -5*a + p + 42 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6381.548 grams in nanograms?\nAnswer: 6381548000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 54 - 11 = 4*v, -3*v = 15. Suppose 5*q = 2*q + 6. Let w = q - 2. Solve w = 2*u + 3*u + r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76861 (base 11) in base 15?\nAnswer: -2308d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216479, -216480, -216481, -216482?\nAnswer: -216483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.3 (c) 139447\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 167884*z. Let w(t) = -2*t. What is w(x(j))?\nAnswer: -335768*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 8*b - 6*b - 484, 0 = -4*b + 16. What is the highest common factor of u and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 560. Let z(b) = -b + 40. Determine m(x) - 12*z(x).\nAnswer: 8*x + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20103611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 24.985.\nAnswer: -12.4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:38 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/18*40\/(-220).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157*((-2)\/(-1))\/(0 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*1*(-20 + -6 + 24).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:59 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/3 + 531*z. Let l = 7 - 5. Let x(o) = -5*o**2 + 4*o**2 - 3*o**2 - 8*o**l. What is k(x(g))?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4416174 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 90 = 45. Calculate the remainder when (-4)\/(-3) - 531\/w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 22 + -39 + (0 - 20 - -3) + -37.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + b + b - 8 = 0, -4 = -2*g + 3*b. Suppose 3*w + g*h + 3 = 5, -12 = -w + 5*h. Let q(l) = 1 - 2 - 3*l + l**w - 2. Give q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - s = 99 + 494, -2*b + s + 1183 = 0. What is the remainder when b is divided by 120?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/51, -350972, -5, 0.3.\nAnswer: -350972, -5, 1\/51, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 1422172723 + 1422172723.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 3048?\nAnswer: 27432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. Suppose 6*w - 20000 = x*w. Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 6. Let g(r) = -55*r**3 - r**2 + r + 2. Does 7 divide g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 0*p**2 + 7*p - 4 + p**2 - 2*p. Is r(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233289.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -22825000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - (sqrt(45)\/(sqrt(63)\/sqrt(7)))**2) + (sqrt(605))**2*3.\nAnswer: 2*sqrt(5) + 1810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31269 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/5*20\/(-4). Suppose 4*z = -x*h, 0 = 2*z - 6*z - 2*h + 8. Let w = z - -33. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, q: 5, v: 5}. Give prob of sequence vq.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40886 is divided by 125?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 51. Let p be d(43). Suppose u + 2*v - 670 = 0, 5*v - p - 3322 = -5*u. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/19? (a) -4\/7 (b) 3.8 (c) 4\/5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(4*a**3 + 0*a**3 - a**3) in the form f + s*a**3 + c*a**2 + g*a and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 14. Let z be n(-8). Let h be 24\/15 - (0 - z). Let b = -3.962 - 0.038. Is h < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**13)**(1\/38)\/(f**(-5)\/f*f**8*f))**(-4\/9) assuming f is positive.\nAnswer: f**(202\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 2, b: 4}. Give prob of sequence bm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93044 and 3052?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2.404.\nAnswer: -4.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 5. Suppose -8*q + 13*q = 10. Suppose -5*p - t = -0*t - 48, -p - t + 12 = 0. Calculate the remainder when p is divided by r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*m**2 - 203*m**2 + 408*m**2 + 2*m**2 - 8*m**2 + 7*m**2 + (2*m**2 - 4*m**2 + m**2)*(-1 + 5 - 5).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 1373*z**2 + 1372*z.\nAnswer: z*(z + 1)*(z + 1372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 26753395.97.\nAnswer: 26753395.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1551167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let m = 5 - r. Suppose m = -5*s + 5*w + 20, -s - 4*s + 30 = 5*w. What is the greatest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/((-4)\/70). Let l = 22 + a. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -509, -766, -1021, -1274?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-6*sqrt(468) + 5)*5 + (sqrt(468) - (sqrt(468)*-6 + sqrt(468))*-2) + -2 + 5))**2.\nAnswer: -13104*sqrt(13) + 712612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 5*f**2\/2 - 4*f - 1. What is the lowest common multiple of x(3) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o**2 - 697*o - 5723. What is n(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s - 6. Let z be 145\/4 - (-1)\/(-4). Let o be (2\/2)\/(11 + 138\/(-12)). Let b be (-12)\/z + o\/(-6). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c - j, -4*c - j + 3*j = 32. Let g(q) = 14*q**2 - 8. Let d(z) = -2*z**2 + 1. Let m(u) = c*d(u) - g(u). Let s(l) = -17*l. Determine m(s(y)).\nAnswer: 578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 179 - 166 = j, -4*m + 4 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-4))\/(39\/1664). What is the greatest common factor of b and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -668.7 + 668.8. Which is the second biggest value? (a) 0.5 (b) z (c) -203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/8)\/(309\/1648). Solve -a*g = -8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 322142 - 636025 + 2*r**2 + 321387 in the form j*r + m*r**2 + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 16*h = 57. Solve -9 = -4*k + h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + 4*m**2)*(29 - 12 - 9 - 11*m).\nAnswer: 22*m**3 - 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 579.20919 + -0.10919. Let h = -579 + d. Which is the closest to 0.5? (a) -0.4 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 + 3*l**2 + 8*l - 6. Suppose -y + 31 = -4*s, 0 = 2*y - s - 161 + 141. Let k(h) = -9*h**3 + 5*h**2 + 15*h - 11. Calculate y*j(b) - 4*k(b).\nAnswer: b**3 + b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 66. Let k(j) = -3*j**3 + 2*j**2 - 1. Let w be k(-1). Suppose w*g = 4*y, -4*y = -g - g - 4. Calculate the greatest common factor of y and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -130*l**3 + 4*l**2 - 7*l + 1. Let w(k) = 390*k**3 - 14*k**2 + 23*k - 2. Let g(c) = 7*h(c) + 2*w(c). Find the second derivative of g(t) wrt t.\nAnswer: -780*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 - 197481*f**3 - 667110*f**2.\nAnswer: -72*f - 1184886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -40749?\nAnswer: -2037.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 338*p - 19400.\nAnswer: (p - 388)*(p + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*((-17)\/(850\/(-20)))\/((-12)\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155957?\nAnswer: 83, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5798, -5746, -5692, -5636?\n\"Answer: s**2 + 49*s - 5848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 28783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9652195931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 25 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 2*v**2 - 2*v + 106. Let s be o(0). Let t = s + -214. Let f = t + 124. Solve 4*u = -0*u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 2, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -13*s - 5. Let z(a) = -a**3 + 7*a**2 + a + 1. List the prime factors of z(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 61*g**2 - 5*g + 5. Determine y(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 195404*i**2 + 1 - 195406*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-135 - 4) + -3). Let t = -579\/4 + f. Sort -0.2, 0, -2\/13, t.\nAnswer: t, -0.2, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18101352.\nAnswer: 2, 3, 754223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(13) + 1).\nAnswer: -3*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*z + 605*z + 365474*z**3.\nAnswer: 365474*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = -5*x. Let a be (-6 - -2)*x\/2. What is the tens digit of (40\/7)\/(a\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(13)*-5*2*3*-5)**2.\nAnswer: 2632500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 10*v = -48. Is -11 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let n = -2 - -1.9. Let y = n + -0.3. What is the nearest to p in -3, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18626028?\nAnswer: 2, 3, 1552169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (4 + -8 + -300). Suppose 3*y + 517 = -5*d, 3*d = 4*y + 364 + w. What is y rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1fa3?\nAnswer: -1f9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159345, -159347, -159349, -159351?\n\"Answer: -2*h - 159343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 180, 5, -17, -2 in descending order.\nAnswer: 180, 5, -2, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiihhhhiihiiihhi. What is prob of picking 2 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.58 + 0.28. Which is the third biggest value? (a) -5 (b) -1\/6 (c) -2\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4101 - -4104. Let b(p) be the first derivative of 2\/3*p**4 + 4\/3*p - 1 - 3*p**2 + 2\/3*p**m. Let b(v) = 0. What is v?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:22 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303220 (base 6) in base 13?\nAnswer: ac4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - r = 3*n + 45, -8 = -3*r - 2*n for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 - -222. Calculate the remainder when 45 is divided by 25\/75 + u\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:03 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.97 + -2. Let p = 2.03 + f. Let l = 9 + -8.9. Sort p, l, 3 in descending order.\nAnswer: 3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 6*l**2 + 15*l - 18.\nAnswer: -3*(l - 3)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkigggggggggii. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*k**3 + 3332*b**3*k**3 - 74*b**2*k**3 + 3*b**2*k**2 - 2*k**3 - 10 wrt b.\nAnswer: 48*b*k**3 + 19992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1768*a + 338. Let n(g) = -52*g + 10. Let c(b) = -338*n(b) + 10*r(b). Let z(y) = y**2. Calculate z(c(j)).\nAnswer: 10816*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26986 in -3\/2, -0.05, 3, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365517779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/9 (c) 0.2 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 300*z**4 + 6060*z**3 - 16420*z**2 + 15840*z - 5184 = 0.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702090268*z + 1702090283*z - 3404180558*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 12 - (-4 - (-9 - (-1 - 5)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (40\/(-4))\/((-4)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23274 divided by -6.\nAnswer: -3879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*i, 2*p + 2*i = 206 - 224 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -30 (b) 3 (c) 0.5 (d) -1364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18604547 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*z - 8 = 0, 5*z + 9 = -1. Let f(i) be the third derivative of -1\/18*i**4 + 0 + 0*i**3 + 1\/36*i**6 - 3*i**d + 0*i - 1\/30*i**5. Factor f(x).\nAnswer: 2*x*(x - 1)*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d - 126*d + 287 = -289. Solve -19*j - d = 13*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 483 = -445. Let m = p + 749. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208436 times -5?\nAnswer: -1042180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4493 by -24.\nAnswer: -4493\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 2. Let x(o) be the first derivative of o**3 + o**2\/2 - 186. Let z be x(u). Sort -1, -6, z.\nAnswer: -6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872710290 to the nearest integer?\nAnswer: 29542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(68)*2 + sqrt(68) - sqrt(68)) - sqrt(68))\/(sqrt(400)*-6))**2*-2.\nAnswer: -17\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 57, -3\/16, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78\/(-1 - (-5)\/2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.71000389 - -6.71. Round x to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 8*d + 1. Let v(s) = -5*s**2 + 9*s - 2. Let y(x) = 4*b(x) + 3*v(x). Let i be y(6). Solve -4 = -0*q - i*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31410281?\nAnswer: 7, 4487183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3510*f**2 + 17561*f + 54. Determine d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16 - -3*(3 + -4). Let q = z - -40. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from buubxbbbbxb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, n: 4}. Give prob of sequence nn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52932001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 4*f**2 - 2*f**2)*(0*f**2 + 0*f**2 - f**2) - 116*f**2 + 36229*f - 4*f**4 - 36229*f to the form m*f**3 + s*f**2 + n*f + p + j*f**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217 + 220. Calculate the highest common divisor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664137911 a multiple of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1620*z**3 + 2 + 0 + 1231*z**3.\nAnswer: -389*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 + 15.74. Let j = -16.00000375 + w. Round j to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(110)*2)\/sqrt(10) - sqrt(99)*6) + sqrt(22)\/(1*sqrt(72) - sqrt(2))).\nAnswer: 316*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37492*w - 37779*w + 75620*w to b*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 387 + -397. What are the prime factors of (-10218)\/c + (-2)\/(-10)?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 996\/(-40) + (-1368)\/80 + (-391)\/(-23).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13185?\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000275 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -3, -0.1 in descending order.\nAnswer: 0.19, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (-1*sqrt(170) - sqrt(170))*-4 - 3*(sqrt(170) - (-2*sqrt(170) - sqrt(170))))\/(sqrt(3000)\/sqrt(3) - sqrt(60)\/(sqrt(6)*-4)).\nAnswer: -76*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 10) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -649 - -1440. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004242 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 4) in base 5?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -208, -155, -72, 41, 184, 357?\n\"Answer: 15*f**2 + 8*f - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -43?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**2 - 7*i + 7*i + i**2. Let j(z) = -3*z. What is j(d(q))?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-32)\/8))\/((-2)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14718*z - 14811. What is k(1)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*f - 3*v - 1, 0 = 3*f + 3*v. Solve -m = f - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 4, 17, 5 in descending order.\nAnswer: 17, 5, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4616, 3, 2, 5 in increasing order.\nAnswer: -3\/4616, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10512195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (15 - 15)\/12. Suppose -10\/3*x**3 - 2\/3*x**2 + 0 - 4\/3*x**y + 4\/3*x = 0. What is x?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -694*s + 157*s**2 - 34*s**2 - 35*s**2 - 54*s**2 - 38*s**2 as o*s + i*s**2 + a and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -21. Suppose -2*j + 3 + 27 = -4*a, -a - 5 = 0. Suppose j*m - 2*m - 49 = -4*l, w = 2*m + 4*l. What is the least common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2452*o**3*u - 125*o**3 + u**3 + 9*u**2 - 7139 with respect to u.\nAnswer: 2452*o**3 + 3*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 + -0.13. Which is the nearest to f? (a) -0.6 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 6*n**3 + 3*n**2 + 52*n + 60.\nAnswer: -(n - 3)*(n + 2)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 154*n**2 - 36*n - 20. What is the remainder when k(51) is divided by 144?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -28*o + 168. Let v = -309 - -315. Let p be q(v). What is the closest to 0.2 in -1\/10, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-162)*-8)\/(24\/4)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301464.\nAnswer: 2, 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*z + 15497 = -14923 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222 (base 4) to base 5.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229874?\nAnswer: 2, 17, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 1. Suppose 4*v + o - 17 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1000)\/(-12000))\/((-21)\/12).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61676162 is divided by 305.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -7\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 512? (a) 2 (b) 3 (c) -3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Suppose -3*d - 2*d = v - 65, -2*d - 5*v = -26. Let y(s) = -d + 2*s + 13. Calculate y(p(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-3))**(11\/2)\/(((t**(-2\/23)\/t*t)\/t)\/(t*t\/(((t*t*t\/(t\/t**(-10\/9))*t)\/t)\/t*t))))**(-23\/5) assuming t is positive.\nAnswer: t**(-2459\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 46*r + 42*r = -248, 42 - 166 = -2*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3979 and -0.5.\nAnswer: -0.19895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1. Let g(w) = -w - 4. Let m(c) = g(c) - 4*u(c). Let x(k) = 5*k**2. Calculate x(m(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(2)*1))\/((-2*sqrt(44))\/sqrt(11) + sqrt(4) - sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m + 2213*m**3 + 12 + 16 - 2214*m**3.\nAnswer: -m**3 - 37*m + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - j**3 - 2*j**3 - 3*j**2 + (2*j + j + 1 - 4*j)*(3*j**2 + 2*j**2 - 3*j**2).\nAnswer: -3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4\/5 (c) -3 (d) 3 (e) 0.03 (f) -1.0346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -319 times -0.082377\nAnswer: 26.278263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soo. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(sqrt(272) + 1 + -5 + -4))**2*-6.\nAnswer: -32257 + 6144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 + (15 - 10) - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*118.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -2*m + 11*m. What is the remainder when m is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32505, -32552, -32631, -32742?\n\"Answer: -16*y**2 + y - 32490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -2*x**7\/105 + x**6\/15 + 4*x**5\/5 - 3*x**4 - 18*x**3 - 2*x**2 - 15. Suppose v(k) = 0. Calculate k.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1265832\nAnswer: -126583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 15. Put -4, 0.5, x in decreasing order.\nAnswer: 0.5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a - 175. Let i be q(-17). Solve 1 = i*v + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 1 k when three letters picked without replacement from {i: 1, k: 1, q: 2, a: 2, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*(-30)\/9. Suppose -8*d = -l*d - 177. Let j = -29 + d. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*o + 1167*o - 294*o - 294*o - 281*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43659, -43658, -43661, -43668, -43679, -43694?\n\"Answer: -2*b**2 + 7*b - 43664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*b = -l - 36, 0 = 3*l - 4*b - 88. Suppose l = -4*g - 2*i, -4*i + 8*i = 2*g + 32. Is 28 a factor of 6\/(-24) - 1106\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17097476 and 282656?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 48.00265. What is j rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.55 + 0.3. Let q = u - -0.35. Put -3\/5, 2\/7, q in decreasing order.\nAnswer: 2\/7, q, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 1324.\nAnswer: 84736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 36. Let j(t) = -t - 5. Suppose 22*x = 18*x + 20. Give x*p(s) - 36*j(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 791873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 684610?\nAnswer: 1\/136922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.2 + 26.2. What is the closest to y in -3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*z - 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*d - n, -59 = -2*d + 7*n - 4*n. Let f(b) = 277*b - 783. Calculate the remainder when f(3) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1949824, 1949823, 1949822, 1949821, 1949820, 1949819?\nAnswer: 1949818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8885569 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 12. Let g be l(-10). Solve 5*r - g - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 349*b - 11372. What is the hundreds digit of m(122)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 60. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 34 + 30. Suppose 0 = d - 2*d + h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 greater than or equal to 0.875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 - (-1 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092075 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/18 - (40\/36)\/5. Suppose n - 157 = 4*n + 2*v, 2*n - f*v + 109 = 0. Let s = 101 + n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -4, 35, 126, 287?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*d = 160, -376 = -4*w + 2*d - 96. Suppose 0*s - s + 3 = 0. Suppose -11 = -z - s. What is the highest common factor of z and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -29*x**7\/42 + 17*x**3\/2 - 48*x + 34. Let q(k) be the first derivative of j(k). What is the second derivative of q(r) wrt r?\nAnswer: -580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 517 - 5*f + 110 - 3*f + 124 + 140.\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1332.890858 to 1 decimal place.\nAnswer: 1332.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1425, -1418, -1407, -1392, -1373, -1350?\n\"Answer: 2*b**2 + b - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37389587 * -1.6\nAnswer: 59823339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3076 - 3075 - (3 + -1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 6*b)*(-180 - 16*b**2 + 177 - 18*b**2).\nAnswer: -204*b**3 - 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6533.155ml?\nAnswer: 6.533155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/12*(-12)\/(-21))\/((-265)\/(-795)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1969 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(128) + -1 + 0)**2 - ((sqrt(128) + sqrt(128) + sqrt(128)*-1)*6 - sqrt(128))**2) + -5).\nAnswer: -18456 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570444205 divided by 5.\nAnswer: -314088841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (264\/56 + -3)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)*j*j*((j\/((j**8*j)\/j))\/j)\/j*j*j*((j\/(j\/(j*((j\/j**(2\/13))\/j)\/j)*j*j))\/j*j)\/(j*j*j**(-2\/3)*j) assuming j is positive.\nAnswer: j**(-2629\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/4829030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -59. Let m be (-4)\/(-10) - 144\/(-40). Suppose q = -q + m. Put b, q, 5 in decreasing order.\nAnswer: 5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k = -1987 - 378 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 7 - 7)*(1 - 3 + 1)*(3*h - 4*h - 2*h) + (0 - 9*h + 0)*(0 + 0 + 3*h**2).\nAnswer: -39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -7 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 26*l**2 - 44*l - 40.\nAnswer: (l - 2)*(l + 10)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22813315 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2625 and 109\/21237650.\nAnswer: 318564750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 - 6*l + 2. Let r be 2\/(-17) - (-350)\/85. Calculate the remainder when 26 is divided by a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**2 - 1720*t + 1152.\nAnswer: -4*(t + 144)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/12 - 2*j**3\/3 + 3*j**2\/2 - j. Let k be (-56)\/(-10) + 10\/25. Calculate the remainder when 43 is divided by a(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87+1090110173\nAnswer: 1090110086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1205*x - 292810. Calculate j(243).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 62*p**3 + p)*(-p - p + 4*p) to u*p**2 + a + f*p**4 + k*p**3 + x*p and give f.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (4 - 2))*(-939)\/(-9). Suppose -7*i + 37 = -j. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + h = 3*m - 14, 4*m - 56 = -5*h. Suppose 135 = -2*l + 5*l. Let j = l - m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674 - -13\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 93*u**2 + 3 - 2 - 7.\nAnswer: -93*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*q + 1733 = 0, 4*c + 4*q = -198 + 3634. Let i = c - 542. What is the lowest common multiple of 30 and i?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (1 + sqrt(5)))**2*3 - (sqrt(20)*2)\/sqrt(4)) + (1*sqrt(5)*4 - (1*sqrt(25))\/sqrt(5)).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458 + -457.7. Sort o, -0.5, 5, 28 in ascending order.\nAnswer: -0.5, o, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 469 - 476. Let p(b) = -42*b - 289. Let t be p(h). Suppose 2*g - 6*g = -20. Calculate the highest common factor of t and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 38. Suppose 40 = 2*m + t. Suppose -21 = -3*q + x, -2*q = 5*x - 17 - m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3 - 6*a + 8*a - 4*a wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09289 - 2.09289. Let t = 4 + -3.99. Let z = t - 0.06. Which is the nearest to g? (a) 2 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 308 = -j - 305, j - 3 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2837*m - 1421*m - 1425*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 1627*y - 1597*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 7) to base 14\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeedeeeedeedeeeeee. Give prob of picking 3 e and 1 d.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.4422636703 plus 6?\nAnswer: -64.4422636703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-5) - 10 - (-1)\/((-40)\/336)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnnhnnnhnnn. What is prob of sequence nh?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 - -4. Suppose s + 5*v + 12 = 0, s = 5*s + 3*v + 14. Let f be 0 - s*2\/4. Put q, f, -1 in decreasing order.\nAnswer: f, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/76919?\nAnswer: 3\/76919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866952.\nAnswer: 2, 3, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -81 (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -336523916281.\nAnswer: 336523916280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/13554 and 37\/119476?\nAnswer: 3225852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -88, -17353, 2, -5 in descending order.\nAnswer: 2, -5, -7, -88, -17353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 89, 141?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986, 3951, 8896, 15821?\nAnswer: 24726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323 and 19006.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 8*c**2 + 120*c + 576 = 0. Calculate c.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122602?\nAnswer: 2, 13, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 - 504. Let g = 12 - 6. Let k = -3 + g. Which is the nearest to 0? (a) d (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 17. Let x = -9 - -12. Calculate the highest common factor of l and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4542?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(-3) + 6\/216\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 16. Let g be -18*(-10 - 1347\/(-135) - 2\/10). Solve -5*x + i - 20 = -x, -g*i + u = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -6*r + 2*c + 16, 3*r + 5*c = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let r be ((-938)\/(-70) - 14)*-5. Solve r*u = o + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20521135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v, -3*l + 13 = v - 12. Let q = 42.28 - 42.28. Which is the third biggest value? (a) 3 (b) l (c) q (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20 = -2*q, -4*q - 35*w - 10 = -37*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4362 and 79\/69724.\nAnswer: 152068044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6419845*l - 51358757. What is c(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.272*1378\nAnswer: -374.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16139\/810 + 199\/10. Let j be (-808)\/(-72) + -10 + (-2)\/9. Which is bigger: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -440, -998, -1798, -2852, -4172?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*p, 0 = -5*p + 8*p - 4*l. Suppose -11\/4*x**4 + 0 - 3\/4*x**5 - 3*x**3 + p*x - x**2 = 0. What is x?\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.8. Suppose -4*j - 3*t = 10, t + 6 = -8*j + 4*j. Let o = 16 - 11. What is the closest to 1\/4 in o, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131010 (base 5) to base 12.\nAnswer: 2b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -47. Suppose 4*h - 5*d = t, -h - h = -4*d - 14. What is the smallest common multiple of h and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -742, -5897, -19876, -47089, -91946, -158857, -252232?\n\"Answer: -735*p**3 - 2*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3093*z = 172*z + 99325 + 11685 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 34 = 189 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.5 - 8.3. Let s = -6 + -1. Let a = s + n. Round a to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:18 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276249223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3203?\nAnswer: -3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -0*z - 19 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.1 + 7.5. Let i = -90 - -89.7. Let s = -2.3 + 0.3. Which is the second smallest value? (a) s (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*c = -39, 62*d - 63*d + 63 = 5*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 44. Let i(g) = -2 - 2*g**3 - 7*g**2 + 3*g**3 - 2*g**3. Let c be i(-7). Sort 3, d, c in ascending order.\nAnswer: c, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*v + 6, 3*c - 11 - 23 = -5*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(87\/(-145)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1079*a - 104734. Give n(97).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64c + -1734?\nAnswer: -10e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -25*a**7\/21 + a**6\/6 - a**3\/3 + 119*a**2\/2 - 146*a. Find the second derivative of y(b) wrt b.\nAnswer: -1000*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313.5 - 314. What is the second smallest value in 1\/2, -1.3, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163356.\nAnswer: 2, 13, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81266.\nAnswer: 2, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -377.\nAnswer: 1\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-408 + 408 + 854*x)*(0 + 0 - 4)*(5 - 5 - 2) as s + q*x and give q.\nAnswer: 6832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10.999999498. Round q to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248 and 12?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1725b + -3?\nAnswer: 17258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:59 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - 8*o**2 - 6*o + 5. Let c be y(-6). Suppose -2*v - 5*j = 2*v - 2456, 2*j - c = -v. Suppose -g + v = 2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9838 + 9867. Let i = 11 + 53. What is the remainder when i is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14152 and 8516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.9, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 238.7901 tonnes?\nAnswer: 238790100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748510 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.991 - -0.009. Let n = o + -23.91. What is n rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 8 = 2*b, 25*t - 8*b = -0*b - 15*b + 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102623431 (base 7) in base 15?\nAnswer: 80972a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 = 124*s + 40*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*d**5 - 72*d wrt d.\nAnswer: -1700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 + 2*d - 5. What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 44 = 10*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, j: 2}. Give prob of sequence ppjp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6559286 and -13\/274?\nAnswer: 6559286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 - 13\/(-3). Let a be (75\/2)\/(2\/n). Suppose -2*j - q = -0*q - a, 2*j + 5*q = 71. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 - 2*d**3 - d**2 - 3 - 8*d**2 - 3*d**4 - 20*d**2 + 2*d**4 as t + c*d**3 + l*d**4 + j*d**2 + g*d and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9701 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*s + 266*s - 3*o - 21 = 0, -29*s - 77 = -5*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 802\/(-112) - 4*(-1)\/(-32). Let u = f + 269\/35. Put 0.5, 5, u in decreasing order.\nAnswer: 5, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/3)\/g*g)**(-1)*(g*(g**(-5)*g)\/g)\/g*((g**(-1\/7)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9990 + 110?\nAnswer: -9880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2084.12 + -2086. Which is smaller: -3\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3536 and 14688?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*h*o**3 - 5*h - o**3 - 18*o**2 wrt o?\nAnswer: -102*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8148701 - -13.816. What is x rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 0, 2*h = -2*h + j + 33. Suppose -h = -0*q - q. What is the highest common divisor of q and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 690 + 283. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 0*w + 3*w + 47 - 22.\nAnswer: 3*w + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1977, 4, -1, 25 in decreasing order.\nAnswer: 1977, 25, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4750 = 3*m - 11*d + 12*d, 3*m = 3*d - 4746. Do -1582 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 1, x: 1, t: 1, y: 1}. What is prob of sequence yx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.989307556 + -0.632?\nAnswer: -36.621307556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y. Let k = 33 - 31. Let d(u) = 0*u + 0*u + k*u - u. What is d(g(h))?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(0*l + 4*l - 2*l)*(7093979*l - 7093979*l - 3948*l**2) as a*l + o*l**3 + r*l**2 + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) 1\/4 (c) -4\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -46. Let v = s + 3.82. What is v rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-12)\/i)\/(i\/(i**6\/i)))**(2\/9)\/(i**(2\/23)*i*i**(2\/3))**(-4\/29) assuming i is positive.\nAnswer: i**(-3518\/2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-y - 5*y + 4*y) + 5*y - 7*y + 17*y - 4*y - 13*y + y + (-4*y - 3*y + 5*y)*(1 + 1 - 1) as c*y + l and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 3468689\/9?\nAnswer: 3468689\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-10) + 312\/(-260))\/((-4)\/10). What is the biggest value in 250, 7, d, -5?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 z when four letters picked without replacement from azrzzrzrazzzzzafzfr?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**4 - 2*c**2 - 2. Let n(j) = -26*j**5 - 2*j**4 + 142*j**2 - 4. Let o(k) = n(k) - 2*r(k). What is the third derivative of o(g) wrt g?\nAnswer: -1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 - 9*b + 6. Let f be g(-9). Let m(t) = -t**2 + 6*t. Let h be m(f). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -25*d**3\/6 - d**2\/2 + d. Is b(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844, 1689, 2534, 3379, 4224?\nAnswer: 5069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l - 2*d - 0, 2*d - 4 = 3*l. Let a(t) be the second derivative of -1\/24*t**4 + l - 1\/36*t**3 + 1\/6*t**2 + 3*t. Find k, given that a(k) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/9 (b) 2\/3 (c) -0.2 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/8 - g**2\/8 + 3*g\/4.\nAnswer: -g*(g - 2)*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 11\/(99\/(-63)). Let x(c) = 68*c - 9. Let m(i) = 136*i - 17. Let f(q) = 4*m(q) - 7*x(q). Is f(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000602 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 179*m**2 + 265*m - 5. What is the remainder when 313 is divided by h(88)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiioiiioioiiooiooi. What is prob of sequence iooi?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 6*r**2 - 5*r - 4. Let y(q) = q**3 - 37 + 59 - q - 37 + 14 - q**2. Calculate h(k) - 4*y(k).\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/540 - 47*w**5\/270 + 97*w**4\/108 - 49*w**3\/27 - 527*w**2. Factor c(l).\nAnswer: -2*(l - 1)**2*(l + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19779709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.9 - -39. Let p = 3.78 + 0.22. Let a be 1\/5*(2 - 0). What is the nearest to x in p, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 15 = 0. Let t(w) = 4*w**3 - 5*w - w**3 + m*w - 4*w**2 + 5*w**2. Let z(a) = -16*a**3 - 6*a**2 + 11*a. What is 11*t(k) + 2*z(k)?\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.2 in -2\/9, 0.5, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3 + 2\/3. Suppose -i = -4*c + 11, -2*i + 3*c = -3*i + 17. Solve 0*n = -3*j + r*n, -i*j + 17 = -n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -50*a**2 + 2*a. Let b(z) = -190*z - 3. Give r(b(p)).\nAnswer: -1805000*p**2 - 57380*p - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = 4*x - 40, 3*w - 2*x - 24 = 0. Let u = w - 3. Let f be u - (1 + -3 - -3). Solve 6*d + 4*v - 20 = f*d, -4*d - 15 = -3*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 22*u = -1120. Let a be 1\/(-10) - 4479984\/u. What is a rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -23. Let t = 6 - 4. Differentiate v*s**2 + 8 - 4*s**2 - 3*s**t - 3 with respect to s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 8*f**2 - 7*f - 4. Determine y(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let p = 3 + 1. Suppose 5*i - 14 = -p. Solve c = i*q + 3*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)\/(10\/(-4)). Let k = -0.06 + 0.46. Let t = -54.7 + 54.2. What is the nearest to -1 in t, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 1*(sqrt(700) - (sqrt(700) + (-2 + sqrt(700) - sqrt(700) - sqrt(700)))) + sqrt(700) + (sqrt(700) + 1)*5)**2.\nAnswer: 420*sqrt(7) + 34309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - c**2 - c + 1. Let l(i) = -i**2 - 13*i - 1. Suppose k - 6 = -19. Let x be l(k). Let f be -4 + 4 + x - 1. Calculate s(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b. Let l be o(0). Suppose -4*j + d = -730, -3*d - 177 = -l*j - j. Suppose 0 = 6*k - 9*k + j. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 276 - 279 - (1 + -6) - -46?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -3)) + -102 + 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3302218541?\nAnswer: 3302218541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyj when three letters picked without replacement from jllqjljjlljjjgjyqj?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109842779?\nAnswer: 23, 659, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-25)*350\/210.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 20. Let a(w) = 8*w - 36. Let q(g) = -6*a(g) - 11*p(g). Let r(u) = u - 1. Determine 5*q(l) - 20*r(l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*a + 3*a**3 - 2*a - 5*a**3 + 3*a**3 + 3*a**3 - 1 + 1 + a**3 + (-1 + 1 + 2*a)*(-2 - 2*a**2 + 2) to p*a**2 + k + z*a**3 + v*a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) -2 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + x - 1, -c + 21 = 4*x + 4. Let k(r) = -r - 1 + 5*r**2 + 2*r - 14*r**2. Give k(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380 times 16229?\nAnswer: 54854020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.157719 and 0.1?\nAnswer: 0.0157719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbeuueuu. Give prob of sequence uub.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 + 109 = 5*t - 188 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -53, 0.5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461548 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4747 - 4745. Solve -k + 15 - 14 = p*v, -4*v + 32 = -4*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyfyyfydyyyyy. Give prob of sequence yffy.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343 + -343. Let b(w) = -8*w**3 - w**2 + 7*w - 14. Let g(s) = -7*s**3 - s**2 + 6*s - 13. Let u(m) = 6*b(m) - 7*g(m). Determine u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 30042?\nAnswer: 30032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 118*k = 16*k - 6681 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-20) + 2\/10. What is the derivative of -4*m + l*m + 0 + 3 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 10*m**2 - 6*m - 16. Suppose 2*x - 13 = 5. Let l = 8 - 5. What is the lowest common multiple of l and w(x)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 892*r + 1639 wrt r?\nAnswer: 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 5054.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 2*y - 18. Let x be c(-6). Suppose 8*i - x*i + 4 = 0. Let p(z) = 3*z. Let f(j) = -15*j - 1. Determine i*f(u) - 11*p(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/(-1020)*32\/(-426). Is d <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-837)\/27*(9\/(-21) - (-144)\/(-56))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 118125 = -7*f - 11*f. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -1237, -2201, -3207, -4255?\nAnswer: -5345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/5*310\/(-1116) + (-140)\/(-63). Solve 3*v - 2*k + 6 - 14 = 0, 12 = y*v + 2*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*j = -55, -55*l + 51 = -57*l + 5*j for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412 by 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6851 = n - 7933, -n = -3*n. Does 44 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -303719.\nAnswer: -607438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**19\/z*(z*z\/(z\/(z*z**(-4))))\/z*z**(2\/3)*z**(-1\/20) assuming z is positive.\nAnswer: z**(937\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128127*v**2 + 2334784 - 128126*v**2 + 1064*v - 4120*v.\nAnswer: (v - 1528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 3*z + 3. Let y(w) = -w**3 - 23*w**2 - 77*w - 20. Let g be y(-19). Let o(x) = -x. Give g*j(d) - 5*o(d).\nAnswer: 3*d**3 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 6. Let j(q) be the third derivative of -q**4\/8 - 7*q**3\/6 - 12*q**2. What is 5*j(f) - 6*k(f)?\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -1061, -2425, -4351, -6845, -9913?\nAnswer: -13561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 7)*(-15 - 5*i + 7*i + 6*i).\nAnswer: -88*i + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72241 + 0?\nAnswer: -72241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Suppose 0 = -r*t + 51 + 84. Factor 3 - 13*u + t*u**2 + 3*u - 8*u.\nAnswer: 3*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 30. Let t = k + 12.8. Suppose 8 = -4*j - 12. What is the closest to t in 5, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 21. Let a be t(8). Suppose -2*v - 63749996 = -a*h, -4 = v - 3*v. What is h rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46748, 0, 4, 2, -6 in descending order.\nAnswer: 46748, 4, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114\/17 - 434\/85. Suppose 6\/5*b**2 - 2*b**3 + x*b**5 + 2\/5*b + 0 - 6\/5*b**4 = 0. Calculate b.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 143*c + 72*c + 77*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 + 103*j**2 + 32*j + 4 wrt j?\nAnswer: -12*j + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-42))\/(2\/3). Suppose 0 = 3*j - 5*h - 12, 0 = -3*j - 6*h + b*h + 39. Let k = 193 - 94. Calculate the highest common divisor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 2*n**3 - 3*n**3 + 2*n**3 + n**3 - 2*n**3 - 3*n - n**3 + 3*n + (3*n**2 - 5*n**2 + 4*n**2)*(2*n + 0*n - n) - 2*n + 2*n**3 + 2*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**4 + 1 - 6*c - 23*c**4 - 90*c**2 + 0*c + 2*c**3 + 79*c**2 + 17*c**4 in the form w + q*c**2 + g*c + n*c**3 + a*c**4 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 2223.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 37*i**2 + 13*i - 6045. Let r(a) = 17*a**2 + 6*a - 3025. Determine -13*r(f) + 6*s(f).\nAnswer: f**2 + 3055","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 236037 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (-12 + 40 - 37)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**4\/4 - 4*o**2. Let b(q) = -3*q**2. Calculate b(i(g)).\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/3 (b) -5 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**7\/1260 + x**6\/120 - x**5\/30 - x**4\/6 + 3*x**2. Let n(o) be the second derivative of w(o). Let n(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 41*k + 149. What is g(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 738336*z**3 + 1318922*z**2?\nAnswer: 4430016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 299 + 845 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 4703?\nAnswer: 4706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -t. Suppose 3 = -v + t. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -616.\nAnswer: -15\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8297*g - 11207*g - 31085*g.\nAnswer: -50589*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2123 + 272.5.\nAnswer: 2395.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3115 = -76*y - 1899 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3318, 3309, 3286, 3243, 3174, 3073, 2934?\nAnswer: 2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.4 - -14. Let a = u + 4. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48213 (base 10) in base 14?\nAnswer: 137db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3476 - -39791. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 554648 - 3*s**3 - 554648 - 12*s - 2*s**2 to d*s + j + g*s**2 + y*s**4 + a*s**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.72, 0, 1\/4, -1\/2 in ascending order.\nAnswer: -0.72, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/21 + 8*c**4\/3 - 156*c**3\/7 + 568*c**2\/21 + 5654*c\/21 - 1936\/7 = 0.\nAnswer: -3, 1, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 200509506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10875 + 10875 - 84*w - 23*w**3 + 218*w - 134*w.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -14 - 1. Suppose 9 = -m - p*h, 0 = m - 4*h - 16 - 3. Suppose m*l = -l + 160. What is the highest common factor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/1197)\/(-26 - (-1903)\/77)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x + 12*x + 4*x.\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.014 >= -91\/324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 511, 520, 529, 538?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**3 - 239*x + 90*x**4 - 7*x**3 - 4*x**3 + 237*x in the form l*x**3 + j*x**4 + d + r*x**2 + v*x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*(d**(-1)\/d*d)\/d)\/d)\/d*d*d)**9)**(-31\/5)\/(d**(-6)*d\/d**(-1\/4)*d\/(d**(1\/5)\/d*d*d)*((d\/((d*d**2)\/d*d))\/d)\/d) assuming d is positive.\nAnswer: d**(259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at most as big as -118.205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.191154 rounded to three dps?\nAnswer: -1.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 - -149. Let n be -2 - -11 - (11 - (11 + m)). Solve -9 = -n*w + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -62*i + 645. Let f be k(6). Calculate the greatest common divisor of f and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + 0.27.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -91699\nAnswer: 6\/91699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and -1.1.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (0 - -64) - (-6 - -17)) + -8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49814 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/5760)\/(41\/((-19680)\/90))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 + o - 1. Let s(i) = 6*i**3 - 18*i**2 + i + 17. Let a(u) = -s(u) + 5*x(u). List the prime factors of a(12).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 16*a**2 + 14*a - 295. Give n(16).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18025 = -11*o - 3813. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 87*r**2 - 13159*r + 218623. Give q(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, 1 i, and 1 p when four letters picked without replacement from didddzpdmzrz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 134*f - 1284. Let p be x(86). Calculate the highest common factor of 2212 and p.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 4. Let r be j(6). Suppose r*l = -3*l + 95. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004633865 to 5 dps.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11531 + 11574. Solve 4 = 4*x - 3*g, -v*x + 44*x + 5*g = 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 47 (c) -3\/4 (d) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22*y**3 + 513*y**2 + 77*y - 29. Calculate f(-23).\nAnswer: 1903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-35))\/((-282)\/1410))\/(7\/(1029\/(-70)))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5581, 4899, 4217, 3535, 2853, 2171?\n\"Answer: -682*m + 6263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 + 5 = 0. Let o be (-4 - -1)\/((-12)\/n). What is the third derivative of -5*m**o + 0*m**5 + 6*m**5 + m**5 wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -565\/296?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 4. Let x(r) = -13*r + 13. Let n(q) = -7*f(q) - 2*x(q). What is the least common multiple of n(-2) and 2 - (8\/(-10))\/((-4)\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.5 - 32. Let q = -63.5 - r. Let o = q + 63.0000044. What is o rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*t + 13, -6 = -4*t + t + 3*o. Suppose 2*v = 7 + 1. Suppose 3*s - 7 = l, v*l = -s - 3 + 1. Put s, t, 0 in descending order.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 117736 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/121*-11*-1. Let g(s) = s**2 + 4*s - 4. Suppose 0 = f - 0 - 2. Let a(j) = 6 - 6*j + 0*j**2 - j**2 + 0*j**2 - j**f. Give r*a(v) - 8*g(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385177939.\nAnswer: 1385177939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = o - 4*o + l, -16 = -4*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/45 or -42062?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11294 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: How many minutes are there between 2:39 AM and 8:04 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**8*z*z))\/z)\/(z\/(z**2\/z))*(z**(-4))**(5\/7))**5 assuming z is positive.\nAnswer: z**(-485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/7))\/b)\/b**(2\/5)*(b**(1\/4))**(-1\/42))\/((b**(-1\/13)\/(b*b**(-2)\/b*b))\/(b**3*b**(-4)*b)) assuming b is positive.\nAnswer: b**(-11393\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33300408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182762*o**3 + 32016*o**2 wrt o.\nAnswer: -1096572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -7.276 in descending order.\nAnswer: -2, -3, -7.276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11. Suppose -3*h - 12 = 9. Let p be (6\/h)\/((-3)\/42*16). Which is the second smallest value? (a) i (b) p (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 + (-7 - (18 + -10)) + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -8.82.\nAnswer: -0.9702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 10. Let m(g) = 3*g + 19. Let t(s) = -5*j(s) + 3*m(s). Calculate t(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, g: 5, h: 1, w: 1, k: 2, e: 4}. Give prob of sequence gea.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*144\/((-45)\/(-5)). Find the first derivative of -19 - 36 - 2*y**2 - 1071*y**4 + 1084*y**t + 0*y**2 wrt y.\nAnswer: 52*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-12)*4\/50\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*s + 72 = 434, 4*s = 24. Calculate the remainder when 236 is divided by u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 1. Let k(a) = -14*a - 2. Let v(x) = -11*b(x) - 4*k(x). Let u be v(-6). Let c be 1\/(-2) - u\/6. Solve 0 = 5*h - c + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2332 divided by -4\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0123 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*t + 4*v + 151, 30 = 2*t + 5*v. Let q = -28 + t. What is the units digit of ((-2)\/q)\/(3\/234)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 29922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588919208 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(350)*-1 - sqrt(350)) - sqrt(350)) + sqrt(350))\/(sqrt(80)\/(sqrt(16)\/sqrt(2))))\/((5*sqrt(10)\/sqrt(2) + sqrt(5))*-4*-1).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 39.6. Suppose -6*g + 4*g - 26 = -4*y, -6 = -3*g - 3*y. Let p be g*(-3 - 0 - (-256)\/84). Which is the closest to 1? (a) -2 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*n**3\/4 + 10825626*n**2 + 10654012271760*n - 7748378287232.\nAnswer: (n + 1968296)**2*(11*n - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -f - 4*h - 125, 0 = -5*h + 30. Let l(i) = i**2 + 6*i. Calculate l(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 less than -350186?\nAnswer: -351196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l + 116. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326945?\nAnswer: 5, 23, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 16*d**4\/3 + 232*d**3\/3 + 299*d**2 + 406*d\/3 + 49\/3 = 0?\nAnswer: -7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42476, -93454, -144432, -195410, -246388, -297366?\n\"Answer: -50978*c + 8502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.7 + -20.7085. Let r = 0.01199 + v. What is r rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11791, -203 in decreasing order.\nAnswer: -1, -203, -11791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 - 76506*b**2 - 153021*b - 76512 = 0. Calculate b.\nAnswer: -1, 25504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4349071657?\nAnswer: 7, 5659, 109789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaua when four letters picked without replacement from {w: 7, y: 4, u: 2, p: 3, a: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110248013 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 890 - 888. Let a = 5892 + -159056\/27. What is the common denominator of a and 9646\/(-7140) - q\/(-17)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4847616*d*k**2 - 2*d*k + 1429578*d + k**5 - k wrt k?\nAnswer: -9695232*d + 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmrwmwfrmmff. What is prob of picking 1 m, 1 w, and 2 r?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -964 + 914. Let l(h) = -2*h**3 + 29*h**2 - 20*h + 28. Let a be l(14). Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - 4\/(-6) - 119840\/(-321)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 3*n**3)*(-6 + 6 + 7)*(9*n - n - 2*n).\nAnswer: -126*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 5\/12*k**4 - 3 - 6*k + 165\/2*k**2 - 85\/3*k**3. Factor m(r).\nAnswer: 5*(r - 33)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 27*h**2 + 25*h + 50. List the prime factors of l(-26).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2052)\/(-2565)*10\/(-28). Which is the fifth smallest value? (a) 0.5 (b) y (c) 0 (d) 2\/39 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25 + 14*v**2 - 62 - 3*v**2 - 8*v**4 + 23 + 44 with respect to v.\nAnswer: -32*v**3 + 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/33*(-14 - (-116)\/8)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 - 1588066*c + 3176140 = 0.\nAnswer: -794035, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 3:16 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3422 in -0.1, 0.1, 1, -0.2, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 1. Let j = 3 - w. Let z = 2.989 + 1.011. Which is the second biggest value? (a) z (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-19*w - 12*w - 38*w)*(-2 + 0 + 0)*(-4 + 2*w**2 + 4) as y + k*w**2 + x*w**3 + i*w and give x.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 4*m + 2*m - 3*m - m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 14*s + 50. Calculate n(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37854 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/2 - 13*c**2\/2 + 4*c - 6. Let w(j) be the first derivative of n(j). What is the first derivative of w(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*r - 120, 0 = 3*r + 2*r + 2*u - 150. Suppose -2*s = -0 - 4. Let k be (s\/(-6))\/((-2)\/r). Sort k, -5, -3.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((208\/24)\/(-13))\/(-3 - 0). Determine i so that d*i**2 + 2\/3 - 8\/9*i = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 1272*d + 15821. Calculate n(-15).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 132. Let f = r + 2. Solve 2*c - f = -5*u + u, 3 = 4*u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, -284, -788, -1298, -1808?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1926921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, f: 3}. What is prob of sequence fff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + -4 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Suppose 2*z - 9 = -3. Suppose z*u = -4*j + 4, -2*u - 3*j = -u - 8. Sort u, 0, y.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:33 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -73. Solve -2*s + r*z = -4*s - 11, -4*z = -s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.05, 30, 1014, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (-5 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.57 + -29.57. Let t = -29.12 - i. Let l = t + 0.1199978. What is l rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - 84\/153.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 6041*x + 5998*x - 12041*x.\nAnswer: -2*x - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 11:32 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 + 2*s**2 + 6*s + 4. Let x = -151 - -164. Suppose -x*g + 90 = 5*g. What is f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -12*x - 2*f, -118*x = -120*x + f + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*k + 93045 = 0, -2*k + 52041 + 40992 = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 1195 - 1039 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgfggjggfgggttt. Give prob of picking 3 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfw when three letters picked without replacement from {d: 2, f: 1, z: 1, h: 2, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**9\/1008 + f**6\/120 - 2*f**3\/3 + f. Let g(y) be the second derivative of r(y). Find the third derivative of g(i) wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (-24 - (19 - 69))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 149.6. Let f = -72 - l. What is the fourth smallest value in f, 2\/7, -5, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3790380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1200752927775 - -1200752929486.039027421. Let r = 1461.03902702 - s. Let b = -250 - r. What is b rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 8 (c) -3\/52 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 13) to base 2.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2058924)\/1820 + 3\/39. Let i = -1130 - y. Factor -12\/5*h**3 - i + 6\/5*h**4 + 0*h**2 + 12\/5*h.\nAnswer: 6*(h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 368\/7 + -53. Let f = 4.1 - 4.52. Let j = f + 0.02. Which is the biggest value? (a) k (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 12 = 0. Suppose -c = -g*h + 46, 0 = c - h + 12 + 22. Let q = -20 - c. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.9771771 to 2 decimal places.\nAnswer: -12.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5 + d**3 + 0*d - 1\/2*d**2. Find the second derivative of y(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3 + 4. What is the tens digit of (-3 + 7 - -27) + k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -51.1.\nAnswer: 76.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 780*h - 5*h**3 - 2*h**4 - h**2 + h**3 - 781*h to the form w + k*h**4 + f*h + y*h**2 + o*h**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = -13. Solve 4*f + f = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*t + 25*t - 779 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123873106?\nAnswer: 2, 7, 47, 79, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 250 = 19*i. Let b be ((-1944)\/(-45))\/8 + 4\/i. Let u(o) = o**3 - 7*o**2 - 7*o - 6. Let s be u(8). Solve -b*r - 8 = 4*q, -2*r = -5*r + q + s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -136*n. Let a(s) be the third derivative of -s**4\/12 - 603*s**2. Give a(j(m)).\nAnswer: 272*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m - 6. Solve m = -p - 2 + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + -17?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00147218 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 84\/(-112)*((-89)\/4)\/(90\/(-48)).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -249, -180, -89, 24, 159?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582295.\nAnswer: 5, 716459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 60. Let w(x) = -x**2 + 21*x - 9. Is 2 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11790005 + 6967896319\/591. Let z = y - 5\/197. What is the common denominator of z and 1608\/99 - (-140)\/(-10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/11, -50988, -0.3 in decreasing order.\nAnswer: 36\/11, -0.3, -50988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/(m**(-2\/7)\/m*m*m))\/m)\/m*m*m*m)\/(m\/m**(2\/7)))**(-24) assuming m is positive.\nAnswer: m**(-264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -308. Let y = x - 223.9999832. Round y to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3, 0.2, 3955 in descending order.\nAnswer: 3955, 0.2, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 654 - 720.2. Let g = m + 66. What is the closest to g in 1\/3, 1\/2, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71778183 to the nearest integer?\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = k + 7. Calculate the remainder when 130 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-1 - 2*t + 1) - 2*t + 3 - 3 + 1 - 2*t - 1 + 0 + 0 + 2*t - 5*t + 4*t + 2*t + (0 - 2 + 1)*(0*t - t + 3*t) to v + f*t and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1114*q - 4. Let c(l) = 2230*l - 10. Give 2*c(k) - 5*i(k).\nAnswer: -1110*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4474 (base 10) to base 13\nAnswer: -2062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -672.9318 + -0.0682. Let q = 648.67 + y. Round q to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -85. Suppose v*p = -2*p + 7410. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 7 (c) -0.6 (d) 0 (e) 1.2 (f) 265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 1411208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 7*r - 6. Let b(f) = -f - 1. Let h be b(1). Let c = h - 4. What is the remainder when n(c) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/((-5)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f + 4*b - b, -5*b + 6 = 2*f. Suppose u - f = 2. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-2 + -1)) + -38 + 72?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2*1*-1) - (500 + -6500)\/(-400)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 14 + (-15 - (0 - (-6 - -13)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102.2 != -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 3:52 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4 + 32*u**3\/3 - 886*u**2\/3 - 1280*u - 975 = 0.\nAnswer: -65\/3, -3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126309 times 0.322\nAnswer: 40671.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(2\/(-9)). Factor q*m**2 + 3*m**3 + m + m**2 - 4*m**4 - 4*m**3.\nAnswer: -m*(m - 1)*(m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 172 = -5*w + 63, -5*n + 127 = 2*w. Calculate the remainder when 51 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/120239 and -131\/1158.\nAnswer: 721434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157966752 divided by -2495618.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 8*i + 6. Let t(d) = 3*d**2 - 3*d + 1. Let r be t(2). Let u = -13 + r. Determine o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 - 247. Suppose -2*o - 600 = 3*o. Let h = y - o. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -56, 1, -83, -236, -1 in descending order.\nAnswer: 3, 1, -1, -56, -83, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 0 - (-30 + (-24 + 30 - -14)) - 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(-261))\/((-40)\/(-50)*1\/12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 m when three letters picked without replacement from {x: 7, t: 1, m: 4, b: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 118967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -25*d**2 - 175*d - 80. Let m be j(-7). Which is greater: m or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1828 divide 30894728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*d - 30 = -2*d, -2*x - 2*d + 14 = 0. Let b(g) = 4*g**x + 12*g + g + 3*g - 16*g. Let m(r) = -47*r**2. Give m(b(s)).\nAnswer: -752*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*d - w, 3*d + w - 2*w = 34. What is the third derivative of 12*v**4 + 1 - 3 + 4 - 5*v**3 + 5*v**4 + 27*v**2 + d*v**2 wrt v?\nAnswer: 408*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -201*f - 4219. Calculate m(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -552*h**3 + 4*h**2 + 69 wrt h?\nAnswer: -3312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432) + sqrt(48))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 + 24)*(-2 - 4 - 1)*(1 + 2 - 5)*(0*v**4 - 4*v**5 + 0*v**4).\nAnswer: -1512*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f**(5\/2)*f))\/f)*f*f\/(f**(-3\/13)*f)*f*f**7*f*(f*f**6)\/f assuming f is positive.\nAnswer: f**(539\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 332 + -1018\/3. Which is bigger: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -2*q + 5*c, c = 10*q - 12*q + 172. Let w = 108 - q. Is (-7)\/(w\/(-9)) + 988 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 88 = -42*d. Suppose -d*u = -2*f + 2088, 3*u + 2*u + 1056 = f. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 - b. Let m(w) = 10*w**3 - 6*w**2 + w - 1. Let n(p) = 3*i(p) + m(p). Let l(t) = 0 - t + 0 + 1. Let o be l(2). What is n(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1584, -88, -54, -5, 2, 3 in descending order.\nAnswer: 3, 2, -5, -54, -88, -1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + -1. Is a smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2. Let w(z) be the first derivative of 0*z**2 + 1\/3*z**3 + 3 + 0*z. What is l(w(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/3*225\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 17*z**3\/3 - 2*z**2 + 2*z. Let o be t(4). Calculate the highest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*z - 285*z + 139*z - 1946*z**2 - 266*z**2.\nAnswer: -2212*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1394 - 1395. Which is the closest to -5? (a) 2 (b) 40 (c) h (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 18. Let y(q) = q + 1. Let k(a) = d(a) - 4*y(a). Let j be k(10). Suppose w - 30 = -j*w. Which is greater: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f\/f**9*f)\/f)\/f))\/(f\/(f**(5\/7)\/f))*(f**(2\/13)*f)\/(f*f*f**(9\/5)*f))**(8\/7) assuming f is positive.\nAnswer: f**(18448\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13745, 55145, 124149, 220757?\n\"Answer: 13802*y**2 - 6*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 18585027*b. Let s(k) = -36*k. What is v(s(z))?\nAnswer: -669060972*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -m, 3*m = p - 0*p + 10. Suppose 0*t = -3*t - 9. Suppose 0 = 4*x - 5*c - 25, 6 = 2*x - 3*c - 7. Put m, t, x in descending order.\nAnswer: x, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzz when three letters picked without replacement from zhhkhgzkwwzzhhhhhzhg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110595 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*a - 7*a + 30, 3*a - 15 = 0. Solve -11*v - q = -4*j - 10*v, -4*j + 7 = -3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 42*d**2 + 0 - 1.\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2491.133g to kilograms.\nAnswer: 2.491133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weeeeyy. Give prob of picking 2 e and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20171?\nAnswer: 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 15*h**2 - 15*h + 8. Let k be x(14). Let f be 9\/27 - (-32)\/k. Let s be (-2*1)\/((-2)\/(-3)). Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11314980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 - 480*j**2 + j - 860 wrt j.\nAnswer: 6*j**2 - 960*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/18 + 62*b**3\/9 + 2*b + 430. Factor d(j).\nAnswer: -2*j*(j - 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*f + 334*f - 75*f + 474*f - 62034 = 0 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336562 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k. Suppose -3*s = -5*d - 21, -4*s - 1 + 0 = 3*d. Let t(r) = -3*r**2 - 5*r - s*r + 7*r. Calculate t(l(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 56*u**2 + 247*u + 13853. What is h(-56)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10 - 1145*u**2 - 10 + 167*u**2 - 4007*u**2. Let j(c) = -2*c**2. Determine a(j(w)).\nAnswer: -19940*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 + 170. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 2*g**2 + 3*g + 2. Let k be v(-1). Let l be (-14)\/k*3*(-180)\/70. Calculate the greatest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11812 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -638, -4080, -13432, -31652, -61698, -106528?\n\"Answer: -493*w**3 + 3*w**2 - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l + 0)*(5 + 2 - 6) - 2*l + 6*l - 3*l - 4*l - 10*l - l + (-3*l + l + 4*l)*(-57 - 87 + 207).\nAnswer: 114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066 = -2*m + 5*n + 1082, 0 = -2*m - 9*n - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -3. What is the remainder when v is divided by 36\/(-45)*(-3 + 9\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r**3 + 33*r**3 - 74*r**3.\nAnswer: 103*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 95.2033.\nAnswer: 89.2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35859778945.7 - 155\nAnswer: -35859779100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2. Suppose 3*a - 16 = -2*s, -2*s + 1 + 3 = 0. Let j be (-4)\/(-18) - (-32)\/18. Let d(f) = a*f - 5*f + j*f. What is q(d(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3784 + 3782.8. What is the third smallest value in f, -4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-1 - -4)\/(-51)). Put -2, s, 5 in decreasing order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90191370 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 22. Suppose 4 = -m + h. Let w = m - 1. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 + 23*l**3 - 13*l**2 + 7*l - 9*l**3 - 2*l.\nAnswer: 14*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 45 = -5*f. Calculate the highest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-1540)\/(-88))*(2 - (1 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154 - -193) + (50\/(-10) - -63).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002613 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12160*r + 6075*r + 6072*r + 598 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -164*g**2 - g + 1. Let i(j) = 3*j - 7. Determine i(o(r)).\nAnswer: -492*r**2 - 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 463388, 926822, 1390256, 1853690, 2317124?\n\"Answer: 463434*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537 = 67*d + 476 - 75 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-14)*(-315)\/60)\/(13\/(260\/15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*c - 167*c + 10 + 113*c)*(0 - 2*c**4 + 0) + 4*c**3 - 2*c**3 + 2*c**5 + 0*c**5.\nAnswer: -70*c**5 - 20*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -387601, -387592, -387583, -387574, -387565, -387556?\n\"Answer: 9*s - 387610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 630*s**2*u - 70*s**2 - 28*s - 46394821*u wrt s?\nAnswer: 1260*s*u - 140*s - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*m + 2\/5*m**2.\nAnswer: 2*m*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 5 = v - 5*j, -31 = -3*v + j. Let f be 2056978\/55 - (-4)\/v - 0. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -15.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(130\/(-117))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {i: 4, y: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4656*k**2 + 6*k - 767 wrt k.\nAnswer: -9312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 28, -4\/9, -37 in ascending order.\nAnswer: -37, -18, -4\/9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8635, -13246, -25763, -50140, -90331?\n\"Answer: -659*f**3 + f**2 - f - 7976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26085 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -42, -107, -198, -315?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8 - 28 + 11 + 10. Suppose 1 + 2 = 3*d. Let m(x) = -3*x + 5*x - x - d - 1. Determine m(v) + 2*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*(f\/(f\/(f\/f**(-3\/2))))\/f*f)*f)\/(f\/(f*f**(-13)*f)))\/(f**(2\/23)\/f*((f\/((f\/f**1)\/f))\/f)\/f) assuming f is positive.\nAnswer: f**(-533\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200456.03281 - -200457. Let z = q - 0.97. Round z to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + -65. Suppose 0 = 4*k + 157 + 231. Let c = k - f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5 - 551*h**4 + 22587*h**3 - 303544*h**2 + 1042064*h - 620160 = 0.\nAnswer: 3\/4, 4, 17, 40, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 + 23 = q, t + 50 = 2*q. Suppose q = 3*n - 7*n. Let y = n + 13. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 2*g**5 - 2*g**4\/3 - g**3 - 2*g - 20. Find the third derivative of j(s) wrt s.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.018 + -5.882. Let j = 3.3 + l. Which is smaller: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 107*i**2 + 13*i + 1405. Let l be v(-107). Solve -l*h = -623 + 749 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701321 at least 701324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*k - 70, -6*s = -2*s + 5*k - 20. Let z = s - 6. Let c = 26\/3 + -9. Sort -4, z, -0.2, c in decreasing order.\nAnswer: z, -0.2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h**(-1\/31))**20 assuming h is positive.\nAnswer: h**(2460\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-1 - (-1*sqrt(26)\/sqrt(2))**2.\nAnswer: -6*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s = 95*s + 1449 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.68 + 0.58. Let s = t + -1.9. What is the nearest to 1\/3 in -8, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v\/v**12)\/v))*v*(v**(-1\/3)\/v*v)\/v assuming v is positive.\nAnswer: v**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3124*t**2 + 18*t - 85. What is the thousands digit of y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*p + 20 = 0, 0*z = -3*z - 3*p + 3. Suppose 3*o - z = -0. Suppose -2*a + 3 = o*m - 5, 5*m - 8 = -2*a. Which is bigger: m or -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 3*t + 12, -4*z - 4*t - 10 = -14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b412 (base 16) in base 7?\nAnswer: -40541550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035792493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2883.982913 rounded to the nearest 10?\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66 (b) -1\/5 (c) 5 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3\/2*w**2 + 0*w - 13. Let k(g) = 5*g. Determine k(q(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1183749*c**3*p**3 - 11*c**3*p - c**3 - 5*c**2*p + 14*c**2 + 39*c*p - p**4 wrt p.\nAnswer: -7102494*c**3*p - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u)\/u**(3\/4))\/((u**(1\/3)\/u)\/(((u*u**(2\/9))\/u*u)\/u))*u**(-3\/28)\/(u\/(u\/u**(-3))*u**(2\/13)) assuming u is positive.\nAnswer: u**(-919\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(588)*2)\/(-5*(sqrt(294) - sqrt(6))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061329 rounded to 5 dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4285 is divided by 337?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -31.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/14)\/c)\/((c\/(c**(-14\/3)\/c))\/c))\/((c\/(c**21\/c*c)*c)\/c)**19)**(1\/31) assuming c is positive.\nAnswer: c**(15671\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -76. Let k be l + -8 + (0 - -27). Solve 0 = 3*i + 4*b - 23, 5*i - 3*b + b = k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 13 + m**2 + m**2 - 3*m + 20*m**2. Let s(x) = -11*x**2 + 3*x + 7. Let n(k) = -3*o(k) - 5*s(k). What is the first derivative of n(w) wrt w?\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800*m + 1820 = -748*m. Suppose -t + 72 = -240. What is the remainder when t is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 46. Let q = -3.5 + k. What is the closest to -1 in 0.3, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 628 + -630. Let t = 2.84 - -0.36. Let x = t - 3. Which is the third smallest value? (a) d (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9003*d. Let z(c) = c. What is g(z(j))?\nAnswer: 9003*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bb + 0?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74c (base 14) to base 9.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 27 = -j. What is the remainder when 98\/4 - (-186)\/124 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 19*f**3 - 4*f + 4. Let b(h) = -75*h**3 + 15*h - 15. Calculate -4*b(p) - 15*c(p).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2047*-0.24379.\nAnswer: -499.03813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15\/28 - -895\/28. Let u = 1216762662 + -6888093452819\/5661. Let f = 4\/629 - u. Calculate the common denominator of f and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c683 - 9?\nAnswer: -c68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/36 and -41\/7272.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 11*p**2 - 12*p**2)*(-30 + 12 + 22).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.053 (c) -1\/3 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 896952150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001000101011 (base 2) in base 5?\nAnswer: 2424421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4*y - 6*y + y)*(-46 + 33 + 34)*(-2 + 2 - 1).\nAnswer: 21*y + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}