diff --git "a/data/dm_maths/full_data_1/187_11255.jsonl" "b/data/dm_maths/full_data_1/187_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/187_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange (-39 - 54*w + 39 + (1 + 1 - 1)*(-2*w - 2 + 2))*(1 + 4 + 0) to i + v*w and give v.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s - 7. Give n(-12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/60 + j**4\/24 - j**2 - 4*j. Let n(m) = -3*m**3 - 3*m**2 + 3*m. What is -2*n(l) + 6*s(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3961 and 204425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13 - -4) + (9 - (5 + 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12422.986787 + 12423. Round r to 4 dps.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4*-4*1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 - 5.82. Let n = -8 - k. Let t(g) = g**3 + 3*g**2 - 6*g - 4. Let r be t(-4). Put n, 1\/9, r in increasing order.\nAnswer: n, 1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + -3.1. Let j = -0.3 + 0.4. Suppose -2*w = -7 + 17. Which is the third biggest value? (a) j (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 3*w)*(-w**3 + 0*w**3 - 2*w**3) - 24*w**4 - 2*w**4 - 70*w**4.\nAnswer: -99*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 57. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2014 - 23542?\nAnswer: -21524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36\/7 + -101\/21. Let n(q) be the second derivative of -q + 1\/6*q**4 + 0 + 0*q**2 - a*q**3. What is the second derivative of n(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 8. Let v be z(5). Let n(r) be the third derivative of -2*r**2 - 1\/120*r**6 + 0*r**4 + 0 + 0*r + 1\/10*r**5 + 5\/6*r**v. Give n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 w, and 1 e when four letters picked without replacement from vdvewedgttgdtge.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/27 - 2) + 142\/639. What is the nearest to 15 in 1\/2, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 6*r - 1. Let i be h(5). Let c = i + 62. What is the common denominator of (c\/(-24))\/((-2)\/4) and -67\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 - (-18707)\/(-169) - 586\/130?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (2 + -8 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*j - 10 - 10 = 0, -2*j + 8 = p. Let g = -0.2 - 0.3. What is the second biggest value in g, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 - 299. Let i = r + 430. Suppose 2*f - t = -3*f + 30, t = 0. Solve f*p = p - i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s - 25, -3*z - 5 = 4*s. Suppose 2*x = -2*x + 16. Suppose k - 19 = 2*m - 67, -x*m + 84 = -z*k. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 4*v**4 - 2*v**2 + 0*v - 58 + 108 + v + 2*v**3 in the form a*v**2 + o*v + l*v**3 + z + w*v**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:56 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 14*p**2 - 6 + 3 + 5 to k*p**2 + h*p + z and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 55*d**2 + 1. Let i be h(1). Suppose -9 = -5*t + i. Suppose 2 + 20 = 2*y + 2*g, -3*y + t = -2*g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*9\/24*58656\/(-26884)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 12) to base 7\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2292607\/2262 - -13170\/13. Find the common denominator of h and -74\/261.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbpseehhesss. Give prob of picking 1 h, 1 p, and 1 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 2, i: 1, w: 1, t: 2, s: 1}. Give prob of picking 1 i, 1 p, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccococoocccccccccc. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160 + 199 - j**2 - j**2 - 141 - 23*j + j**2.\nAnswer: -(j + 6)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/((-14)\/1848). Let q = 101 + m. Suppose -4*i = -5 - q. What is the least common multiple of 5 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124773.4 weeks to days.\nAnswer: 873413.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.3. What is the closest to 1\/3 in -4\/3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 590*c. Let y(g) = -g**3 + 3*g**2 + 6*g - 4. Let s be y(4). Suppose -l + s = -6. Let d be h(l). Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 396\/6)*((-12)\/18)\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25727 = 8*o + 26*o - 16841. Which is the second biggest value? (a) o (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from {x: 5, k: 7, j: 1, u: 2, q: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8aa (base 15) to base 3.\nAnswer: -2111111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 162966\/8 - 216\/48*6\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:04 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w - 1. Let v be p(2). Let m = v - -23. Let j be -2 + 7\/(m\/40). Solve -4*c - j - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 4*v + (1 - 2 + 0)*(-2*v + v - 3*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 8*k + 304 - 700 + 396 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*p - 182, p = 4*r - 2*p - 237. Find the common denominator of 142\/r - (-36)\/54 and 19\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -17. Is ((-3)\/(-1))\/(y\/(-77)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-36))\/(15\/(-42940)). Let w = q + -237. Suppose -w + 6*r + 8\/9*r**2 = 0. What is r?\nAnswer: -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/59 and -24\/295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 1 - -2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 9}. Give prob of picking 1 c and 3 q.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)\/((s**(-9)\/s)\/s*s))\/(s**(-2\/7)*s**(-2\/27)) assuming s is positive.\nAnswer: s**(9664\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 117*n**2 + n - 2. Let o(r) = -584*r**2 - 6*r + 11. Give -2*o(l) - 11*t(l).\nAnswer: -119*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176536 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let f = b + -0.5. Let z = 0.233 - -0.267. What is the closest to 1\/2 in -0.1, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let j(d) = d + 2. What is -6*f(x) - j(x)?\nAnswer: 5*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 447, 529, 539, 471?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -84. Let c(v) = 3*v + 71. Calculate the remainder when 72 is divided by c(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36270975, 36270974, 36270973, 36270972?\n\"Answer: -w + 36270976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/20)\/((2\/7)\/((-30)\/(-42)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/30 - c**4\/3 + 11*c**3\/6 - 23*c**2 - 2. Let z(g) = 2*g**2 + 8*g - 12. Let u(s) = 4*v(s) + 3*z(s). What is u(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.870004 + -43.8. Let m = 32.93 + -33. Let c = m + h. Round c to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**2 - 4*h - 37. What is r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3432)\/(-26))\/((45\/(-6))\/(-5)). Calculate the highest common divisor of o and 3047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*d - 33 = 0, 2254 = -10*c + 2*d + 1834 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -200567897 divided by -2\nAnswer: 200567897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*r = -h + 7, 4*h + 5*r - 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194.565 + 1.265. Let c = -193 - t. Suppose 3*l = 0, -4*o + 5*l = l. What is the second biggest value in c, o, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-780)*-16*3\/(21\/(-10)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-6 - -5) - -10. Let h(s) = 3*s**2 - 8*s + 3. Determine h(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, c: 2}. Give prob of picking 2 c and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20409, -72850, -160251, -282612, -439933, -632214?\n\"Answer: -17480*l**2 - l - 2928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {l: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -151?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5003, 5, 19, -1, -4, 0 in ascending order.\nAnswer: -5003, -4, -1, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let g be (8\/(-12))\/(x\/9). Let k(q) = q**3 + 2*q. Let r(p) = -2*p**3 - 3*p. Give g*r(u) - 4*k(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18*10\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (0 - -5) - -4. Suppose -5*n = -o, 5*m - 2*m - n - 62 = 0. Calculate the least common multiple of 11 and m.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -9. Let f = -84 + 89. Which is the second biggest value? (a) j (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28200, 27392, 26584, 25776?\nAnswer: 24968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 8*c - 34 = -5*m - 4, -5*c + 0*c + 3*m + 16 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1747, -3494, -5241, -6988, -8735?\n\"Answer: -1747*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + v = -0*v - 5, 0 = -5*v + 15. Let n be 4 - (9\/(-3) + j). Suppose -n*o - 2*o = -145. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 2, w: 8, s: 3}. What is prob of sequence wuus?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133.7 + 148. Let o = w + 26.5. Round o to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*o + 656*o + 627*o + 45056 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31958, -127695, -287236, -510581?\n\"Answer: -31902*y**2 - 31*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 3. Let d be c(9). Let p = -4 + d. Solve 1 = -3*v + p*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 7*w = -315. Let l = 76 - w. Let p = 12 + l. Calculate the remainder when p is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -0 - 21. What is the nearest to 1 in j, -2\/17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 18919 (b) -3 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 2*w**2 - w. Let r be g(-1). Suppose -r*f + 3*f + h + 1 = 0, 0 = f + 2*h. Calculate the common denominator of (f\/11)\/((-2)\/(-56)) and 35\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114849341 rounded to the nearest ten thousand?\nAnswer: 114850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5\/9, -0.1, -1 in increasing order.\nAnswer: -1, -0.1, 5\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5 - 53*i**4 + 299*i**2 wrt i.\nAnswer: 120*i**2 - 1272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.3337954s to days.\nAnswer: 0.0001311781875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 26*u + 2. Let y = -1836 - -10969\/6. Find the common denominator of y and k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 11*d - 12. Let u be s(-7). Let j = -12 + u. What is the least common multiple of j and ((-1)\/(-1) - 0) + 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10590000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393515 divided by -78703.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*w + 157 - 157)*(5*w - 10*w - 1 - 3).\nAnswer: -155*w**2 - 124*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 359 + 72. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22164 and 61\/1285512?\nAnswer: 1285512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157.8 - -157.8123. Round u to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 83, 93, 107, 125, 147?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 9*j**2 - 11*j + 59. Let t be p(9). Let o(z) = z**2 + 42*z + 26. Let l be o(t). Sort l, -2, 4 in descending order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 - 20.27. Let m = 18 + q. Which is the second smallest value? (a) -0.02 (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 44140.\nAnswer: -1280060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4518, -9282, -14078, -18912, -23790, -28718?\n\"Answer: -a**3 - 10*a**2 - 4727*a + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1672218 and 2864?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - t**3\/3 - 2*t**2.\nAnswer: t**2*(t - 3)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852274?\nAnswer: 2, 761, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3629978 to 4 decimal places.\nAnswer: -0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15016?\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.2. Let j = t + 0.3. Let d = -731\/3 - -244. What is the biggest value in -1\/3, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -5*o**7\/42 + o**6\/3 - 5*o**4\/6 + 5*o**3\/6 + o. Let u(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -42. Let j = d - -41. What is the lowest common multiple of j and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10392512 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456982089, 913964180, 1370946271, 1827928362?\nAnswer: 2284910453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1067 - -1066.99. Put 35, y, -0.3 in decreasing order.\nAnswer: 35, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56633 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 6187178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/112 + 79\/1232. Suppose 30 = 5*w - 0*w. Suppose -p - 10 = -w*p. What is the closest to 0 in d, 1, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -48.775. Let i = w - 1.775. Which is the closest to -5? (a) -1\/5 (b) i (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -22, -67, -2, 5 in descending order.\nAnswer: 5, 0, -2, -9, -22, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/4 - 257*a**4\/2 + 49661*a**3\/2 - 2145915*a**2 + 285110253*a\/4 - 268336125\/2 = 0.\nAnswer: 2, 125, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 6:19 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001735 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1131428 to 3 dps.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 311 = 486. Solve -2*c - 7 = -y, 3*y + 2 = -2*c + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-31)\/(496\/(-8960)))\/(2 - (-216)\/(-111))?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 238 - 66 + q**3 - 78 - 80 to the form p*q**3 + t + m*q + y*q**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 12. Let r(h) = 2*h**2 - h + 1. Let f be r(v). Let z = 110 - 30. What is the highest common factor of f and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -1.7, 5\/52, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*i - 2144422 = -2156543 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**19\/y)\/(y**12*y))**(-23))**(-31\/5))**(-46) assuming y is positive.\nAnswer: y**(-32798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/13)\/(-8) + (5 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.468368 + -0.3\nAnswer: 2.168368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (23 - -1*2)*-1. Let k = 35 + a. Suppose -5*l - 50 = -k*l. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28010 and 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + (-827)\/(-2))\/(29\/58) is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-297)\/110) - 5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - 5*v**2 + 1. Let p(a) = -2*a**2 - 12*a + 217. Let s be p(8). Let k(u) = -8*u**3 + 9*u**2 - 1. Give s*f(y) - 4*k(y).\nAnswer: 4*y**3 - y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, 3.8, -1\/33 in increasing order.\nAnswer: -1, -0.2, -1\/33, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -217*g**6\/60 + 295*g**3\/3 + 2*g**2 + 83. Find the first derivative of h(k) wrt k.\nAnswer: -1302*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182560.\nAnswer: 2, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0, -5, 1, -1\/9 in decreasing order.\nAnswer: 1, 3\/5, 0, -1\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x + 9. Let u be r(-4). Suppose -37 = 4*l + u*z - 162, 4*z = -5*l + 145. Suppose 243 = 2*b + l. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 2.3. Suppose 3*r = -7 + 1. Let y be (0 + 2\/4)*r. Are q and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-109)\/3)*228\/(-19). List the prime factors of 0 + h\/6*(-27)\/(-18).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1777799429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:42 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -90.\nAnswer: -90, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 3*h + (170 - 4*h - 170)*((5 - 1 - 3)*(-3 + 1 + 3) + 0 - 3 + 1)*(8 + 7 - 3).\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9840 - (-3 - (-3*(-5 - -6) + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/3)*b\/b**(5\/11) assuming b is positive.\nAnswer: b**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odb when three letters picked without replacement from oboodxddoddddoodooo.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 3. Let b(a) = -1. Let o(t) = 5*b(t) - q(t). Suppose 18 = 3*n - 6. Let d be o(n). Do 0 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {z: 2, i: 5, p: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + -1 - (-52 + 46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssshllslylshxh. Give prob of picking 2 h and 2 s.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800942 a multiple of 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 4*b + 0*b**3 - 15\/4*b**4 + 0*b**2 + 8. What is the first derivative of q(a) wrt a?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3990*20*(-7)\/28*7\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 24*m = 4. Let c(l) = -24*l**m - 1 + 25*l**2 + 1 + 3 + 3*l. Let h be c(-4). Calculate the highest common divisor of 28 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 31*i - 60. Let r be s(28). Let o be (r\/168)\/(2\/6). Sort 2\/9, o, 1\/6, 2\/3 in decreasing order.\nAnswer: 2\/3, o, 2\/9, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-2\/23)*w)\/(w*w**(6\/17)\/w))\/((w**(-17)*w)\/w*w*w\/(w\/w**15)*w))**(-2\/27) assuming w is positive.\nAnswer: w**(-2138\/10557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*d - 3640, -5*f + 5494 = -4*d - 548. Calculate the least common multiple of 16 and f.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r - 11 + 41 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1224\/(-132)) + 12\/(-44) - -48.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -26. Which is the closest to h? (a) 2 (b) 14 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 2*i - 3. Let t(d) = -7*d**2 + 1037*d - 4. Calculate 2*o(q) - t(q).\nAnswer: q**2 - 1033*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.5763.\nAnswer: 0.4763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 619688, 2478837, 5577414, 9915413, 15492828, 22309653, 30365882, 39661509?\n\"Answer: -m**3 + 619720*m**2 - 4*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 + 4*w - 5. Let k be r(1). Is (2 - k\/8)*(1603 - 15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 4 = -2*o, -3*o + 6 = -2*j. Suppose -5*y - 3*a = -133, j*a - 3*a - 12 = 0. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 29, -0.696, -1, -113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 14. What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12283330 to the power of 1\/2, to the nearest integer?\nAnswer: 3505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f + 123. Determine o(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34170, -34315, -34460, -34605?\nAnswer: -34750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/216*2\/((-8)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qta when three letters picked without replacement from qaaqtjp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 6\/5, 5\/2, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-11 + (-14 - -16 - 2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, o: 3, c: 1, q: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1291 = 4*l - 1257, 0 = 7*s + 2*l - 34 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 16 + 369 = 0. Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1515 + -15208606.\nAnswer: -15208600.8485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 986.9 + -1111. What is o rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/2 - 11\/(22\/14).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 11 = -4*j, -3*j - 5*b = 2190 - 2210 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4 + 18*r + 14*r - 31*r + r**2. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -31\/2. Let r be -1*(-5 - 44\/(-8)) + 0. What is the nearest to 1 in d, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from ddanoodooo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31549705?\nAnswer: 5, 11, 17, 41, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70016?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.2 at least as big as -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -447*j**2. Let o(a) be the second derivative of -a**3\/3 - 5*a - 7. What is z(o(t))?\nAnswer: -1788*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -43*m**3 - 9*m**2 + 10*m + 95. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 946*i*l**2*q**2 + 2*i*l*q**5 - i*l*q + i*q**2 + i*q - 120*l**2*q**5 wrt q.\nAnswer: 120*i*l*q**2 - 7200*l**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5049*i**3 - 3*i**2 + 2*i - 2378262 wrt i?\nAnswer: 15147*i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107749919346*i**3 - 2*i**2 + 2*i**2 - 107749919345*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + -111. Let h = q - -195. What is the greatest common divisor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 6575204 = -199*z + 932482. What is the greatest common factor of z and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 253*f**6\/5 - 1165*f**4\/12 - 7907*f**2. What is the second derivative of b(u) wrt u?\nAnswer: 36432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Suppose -3*w - y*w = -40. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.04, 0.3, -2\/7, 2, -672, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 - 6917*l + 1115*l + 8.\nAnswer: -5802*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h**3 - 6*h**2 + 6*h. What is the smallest common multiple of a(1) and 81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i - 50. Let k be i\/6*(-2)\/(-25). Let a = 70 + -69. What is the nearest to a in -4, -4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5081, -10197, -15327, -20477, -25653, -30861, -36107?\nAnswer: -41397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 537 - 63*k - 537 to the form s + o*k and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 3, -34, -46 in descending order.\nAnswer: 5, 3, 0.1, -34, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -q + 23 - 10, -q + 2*l = -7. Let i(z) = -5*z - z + q*z. Let u(t) = -97067*t - 97074*t + 194139*t. What is i(u(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17 = 5*i, -6*q = 3*i - q - 25. Suppose 5*u - 185 = -i*s, u = -2*u + 12. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = g + 9 + 1, -2*g + 2*p - 10 = 0. Suppose 301 = x - a, g = 5*a + 5. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**3 - 4*v**2 + 4*v + 4. Let h(l) be the second derivative of l**4\/12 - l**3\/6 - l**2\/2 - 44*l. Determine -4*h(p) - n(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 12:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**9\/1512 - d**8\/840 - d**3\/6 + d**2. Let s(g) be the first derivative of j(g). Factor s(m).\nAnswer: 2*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 892*c**2 - 48124*c - 136452.\nAnswer: -4*(c + 3)*(c + 83)*(c + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 40 = 0. Let t be -2 - 3\/(-2)*k. Let b = -8 + t. What is the smallest common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (109 + -67 - 82) + -8\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 11 - t**2 - 12 - 4*t)*(0*t + 0*t + t**2).\nAnswer: -t**4 - 4*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 210010221 (base 3) in base 15?\nAnswer: 487a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -1\/3, 5, -5, 77?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98174208 - -98174184.70000363. Let v = 23.3 + z. What is v rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13742 is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -27, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4391556*b**2 - 5277494*b wrt b?\nAnswer: -8783112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 11 = -3. Let f be n\/10 + (-116)\/20. Is 3\/f - 154\/(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 3*x**4\/4 - x**3\/3 - 6*x - 9. Let d(p) = -p. Calculate a(d(f)).\nAnswer: 9*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/((-2)\/(-110)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07073 * 0.3544\nAnswer: -0.025066712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 14 (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/280)\/((-8)\/(-20)). Which is smaller: m or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261\/5 - -257\/5. Sort 0.4, q, -1 in descending order.\nAnswer: 0.4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10551*x**3 + x + 20749?\nAnswer: -31653*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/3 - v**3\/6 - 5*v**2\/2 + 10*v. Let r be a(4). What is the tens digit of 2\/(-8)*(r - -3)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 15. Let w(z) = z + 1. Let p be w(f). Suppose -2*r + 13 = 2*r + d, -11 = -5*r + 4*d. Solve 0 = r*b - 0 + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31818*c + 31823*c - 155 = q, -5*q = 5*c - 155 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 2 s when four letters picked without replacement from lllyllxsxlyxllljlxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5956.1449993 + -5955.645. Let s = 0.5 - m. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*-4 - sqrt(170) - (2*sqrt(170)*-1 + sqrt(170)))\/((sqrt(120) - 2*sqrt(120))\/sqrt(12) + sqrt(90)*1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 14*o**2 - o + 15. Let c be x(7). Let j be c - (175\/49 + 4). Suppose -63*z - j*z**3 + 9*z**2 + 147 = 0. Calculate z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*d - 18 = 32, -4*d + 4 = 0. Find the third derivative of 36*y**3 + 39*y**4 + j*y**2 - 77*y**3 + 41*y**3 wrt y.\nAnswer: 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.73.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*q - 10 = 15, 4*q = 5*t + 20. Suppose -u + 6*u = -120. Let c be (-4)\/6 + (-10)\/u. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -105*x + 1315. Let k be w(12). Let o = -36 - -86. Let u = o - k. What is the third biggest value in 4, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 13*z + 39. Give q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -846*h**2*o - 13*h*o**2 + 2*o**2 + 1168*o + 3 wrt h.\nAnswer: -1692*h*o - 13*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(228)*5)\/sqrt(4))\/(-1*-4*-2*sqrt(300)).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2 - (6 + -4)) + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/36)\/((-21)\/672).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 53, 108, 205, 356, 573, 868, 1253?\n\"Answer: 2*n**3 + 3*n**2 + 2*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9142 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(21)\/(sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(3)))))\/((-2*(sqrt(90) + 1*sqrt(90)))\/sqrt(9)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1)\/((-70)\/(-20)*(-28)\/1176).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3963\/(-18) + 3\/18. Let s = n - -509. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1. Let r(q) = q + 1. Let t be (-1 - 4) + 36 + -24. Suppose t*n = 6*n - 2. Determine n*r(h) + 5*x(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 426, 1030, 1940, 3174?\nAnswer: 4750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(-3) + (9 - 1443\/78).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 + (-46)\/(-10). Suppose -b + w*b = 4. Let y be (-1)\/b - (-13 + 2). What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*d + 120*d = 34 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ditp when four letters picked without replacement from zidpt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12123032223 (base 5) to base 7\nAnswer: 232163060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -680. Suppose -2*l + l + k = h, 4*l = 3*h - 387. What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 + 3. Suppose -3*t + 5 = -4. Let f(d) = -1 + 2 - d**2 - 2. Calculate t*f(m) + p(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:03 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2822 - 596. Calculate the highest common factor of 42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.98 to zero decimal places.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -16\/7, 3, -2\/9, -0.3 in increasing order.\nAnswer: -16\/7, -0.3, -2\/9, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 3*o - 3*o)*(-7 + 2 + 3) in the form u*o + n and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 - 584. Let t = h - -412. Let s = t - 158.0097. What is s rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:31 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = b - 15910, -2*b - 2*x = 3*b - 79567. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s. Let h be c(10). Let b = h - -2. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 + d**2 - 2*d + 171. Give p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1830, 1855, 1880, 1905, 1930, 1955?\n\"Answer: 25*v + 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 64 = 3*p - 2*p, 4*p + 5*t - 256 = 0. Suppose 6*r = -146 - 10. Let i = r + p. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/8 - 5 - 3)*-10)\/(3\/(-9)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*g**3 + 12\/7*g**5 - 26\/7*g**4 + 0*g + 0*g**2 + 0 = 0. Calculate g.\nAnswer: 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**5 + 5*r**4\/2 - 5*r**3 - 20*r**2 - 20*r - 10. Factor v(c).\nAnswer: 5*(c - 2)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3*r + 1)*(27 - 5 - 2).\nAnswer: -60*r - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x**7 + 0*x + 0*x**3 + 0*x**6 + 0 - 1\/168*x**8 - 5*x**2 + 1\/20*x**5 + 0*x**4. What is the third derivative of i(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 8*a**2 - 5*a - 13. Let t be l(7). Solve 5*k + t - 26 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/44 - 10\/55. Let w = 2 - 1.8. Are w and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 38*w - 55. What is the lowest common multiple of 1 and i(16)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 70823*h**3 + 8*h**2 + 17856*h**3.\nAnswer: -52967*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 1.091, 27, -3, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**8\/2240 - h**7\/1260 - h**4\/6 - 2*h. Let l(d) be the third derivative of z(d). What is the third derivative of l(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 3*u - 21 = 0, -37 = -4*x + 5*u. Let t(v) = -10*v**2 + 13*v**2 - x*v - 3 + v. Is t(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 6*b - 6. Calculate n(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797702 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65615341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -3083070\nAnswer: -3083032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2018450 and 4?\nAnswer: -8073800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 17. What is the third derivative of -4*i**2 + 14 - a + 3*i**5 wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttitjtiffjtftiijtttt. What is prob of picking 3 j?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 395*u - 395*u - 3*u**2 - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46125828 and 2664?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.778 and 590.\nAnswer: 459.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 2)*(757*v**3 - 757*v**3 - 28*v**4) as o*v**4 + l*v**2 + z*v**3 + c*v + k and give o.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, -7, -412 in descending order.\nAnswer: 16, -2, -7, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or -0.36117?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 less than 137692?\nAnswer: 137447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/51)*h)\/(h\/(h\/(h*h**(-23)))))\/((h*h**22)\/h*h\/(h\/h**(-13))) assuming h is positive.\nAnswer: h**(713\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*f = u - 107, 4*f - 81 = -3*u. Let d be (-1)\/(((-12)\/10)\/6). Solve u = d*i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -33. What is the lowest common multiple of 4 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190007959.\nAnswer: 3, 89, 8202277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13837386*f**2 - 152901*f - 32.\nAnswer: -27674772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by -3?\nAnswer: -248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*y**3 - 3*y**3 + 5*y**2 - 3*y - 6*y**3 + 5*y to x*y + p + z*y**2 + r*y**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9957 = -0*w + 5*w, 4*w + 7936 = -5*n. Let d = w + 19851\/10. Find the common denominator of d and 47\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3\/54347, 0.33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -99*g - 1. Let a be t(-3). Suppose -2*z + a = 2*z. Suppose 0 = -5*p - 9 + z. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1034 (base 5) to base 4\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22718*-0.5\nAnswer: -11359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 36. Suppose -3728 = -2*s - 5*b, -2*s + 4*b + 3710 = -o*s. Suppose s = 11*k - 5676. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1162 and 56938?\nAnswer: 56938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/10 + (-17390)\/(-925)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 2 + 2)*(-4*g + 4*g + 2*g) - 511*g**2 + 509*g**2 - 34*g - 19*g to i*g + s*g**2 + a and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -57. Suppose -2*y - 3*f = -11, -g*f - 1 = -4*y - 29. List the prime factors of (2 - 0)\/(y\/(-3)) + 102.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*o - 2 = 0, 4*f + 20*o = 17*o - 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 9*l + 8*l - 7*l**2 + l**3 + 9*l**2 + 2*l**4 in the form u*l + w*l**2 + i + g*l**3 + o*l**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 126*f + 14. Determine g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -681, -1532, -2721, -4248, -6113, -8316?\nAnswer: -10857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 249\/27 + (-30)\/135. Suppose -4*r = -4*o + o + g, -o = 2*r + 7. Let n(c) = -2*c**3 + 2*c**2 + c. Determine n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Solve -20 = -v*o + 4*g, o - 3*g - 11 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.299664709877 and 461.\nAnswer: 460.700335290123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 105?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 72. Let d be (8\/10)\/((2 - -7)\/45). Suppose -p = d*j - 9 - 16, 5 = -2*p + 3*j. Calculate the remainder when g is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 + 126.98. Which is the biggest value? (a) x (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 3.3. Let h = 69\/287 - 4\/41. Let i be (-4)\/(-12)*(-4 + 0). Which is the third smallest value? (a) v (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 72\/96\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11597438*-1.\nAnswer: -0.11597438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 45, -4, -2, 4, -5 in increasing order.\nAnswer: -7, -5, -4, -2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 64 = -2*o, -4*a + 25 = 4*o - 79. Calculate the remainder when 201 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let m be (u + -1)\/(2\/2). Suppose m = 4*p - 43 - 37. Solve 0 = 4*i - p, -3*i + 21 + 0 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001123 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*o**6 + 17*o**4 - 566*o**2 wrt o.\nAnswer: 1560*o**3 + 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9543*h**2*i*w**3 - h*i*w**3 - 208964*h*i*w**2 wrt h.\nAnswer: -19086*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24.46154 from -670099.\nAnswer: -670074.53846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 385?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623254?\nAnswer: 2, 811627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(13))**2 - (sqrt(52)*-1)\/sqrt(4).\nAnswer: -7*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -659*m**2. Let v(h) = -213612*h**2. What is a(v(y))?\nAnswer: -30070227032496*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose 2*u = -l - u + 5, y*u - 20 = -4*l. Suppose 5*p = -33*p. Solve -l*r + r + 16 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76102311079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*i - 560 = -4*i + 3715 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + s = j - 126, 5*j = -s + 322. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.8 - 76. Let p = -6.2 + g. Round p to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:29 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -21) + -18 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543036\/12 + -10*11\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*a + 70, 4*a - 30 + 25 = z. Let q(c) = -23*c**3 + 1 - c - 2 + 0. Let l be q(-1). Solve 2*j = 5*k - 10*k + l, a*j + 5*k - 35 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(2299) + 4 + sqrt(76) + sqrt(19) + sqrt(190)\/sqrt(90) + 1*sqrt(19)*2)*6)**2.\nAnswer: 18816*sqrt(19) + 732208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 0*q)*(2 - 2 + 2*q) + q**2 - 4*q**2 + q**2 - 2*q**2 + 4*q**2 + 0*q**2 + 30796 - 30796 + 293*q**2.\nAnswer: 289*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 299, 597, 895?\n\"Answer: 298*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -303, -1025, -2431, -4749, -8207, -13033?\n\"Answer: -38*o**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 107*j**2 - 46*j + 1. Is b(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/24 + 11\/(165\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1459, -1615, -1871, -2221, -2659, -3179?\n\"Answer: y**3 - 56*y**2 + 5*y - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-75)\/(-35) + (-202193260)\/(-42462). Suppose t + 1225\/3*h + 1\/9*h**3 + 35\/3*h**2 = 0. Calculate h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967330801?\nAnswer: 521, 587, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 4*f - f**2 + (-672 + 713 + 3*f - 2*f)*(2 - 2 + 2*f)*(0 + 1 - 3).\nAnswer: -5*f**2 - 164*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 943 - 527. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 2*t**2 + 3*t**2 + 490*t - 484*t as l*t + s*t**3 + f + b*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3248.49 millilitres to litres.\nAnswer: 3.24849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 45. Let n be s(-8). Let q(v) = 11*v**n + 0 + 1 + 2626*v - 2625*v. Determine q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 71. Suppose -3*m + 3*a + 57 = 6, 3*m + 4*a - 58 = 0. Calculate the greatest common divisor of m and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38566553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*180\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -32. Put 4, -4, i in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5867912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujuufulfufuuff. Give prob of sequence juuf.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 + 7 = 0. Suppose 0 = 3*n - 10*n - 21. Let b be -2*(-2)\/(-12) + n\/(-9). Solve b*m - m = -v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7209, 14275, 21341, 28407, 35473, 42539?\n\"Answer: 7066*k + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 1. Calculate the remainder when 85 is divided by h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 14 = -7*g. Let s be g - (-5 + (1 - -4)). Does 12 divide 80\/3*(s + (-102)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from hzzzzzzzh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 134?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 3, j: 7, u: 2, c: 2}. What is prob of picking 1 j, 2 r, and 1 c?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 + 186. Let o(r) = -7*r**2 - 12*r - 7. Let j(v) = -13*v**2 - 24*v - 15. Let b(l) = -6*j(l) + 11*o(l). Give b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*q - 4*u - 6, -3 = -3*q + 3*u. Let w = 5 + q. Solve d = w*k - 1 - 6, -4*d = -k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*b - 2023 = 628 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 426359 + -426357. Find d such that 225\/7*d**5 + 4\/7 + 105*d**4 + 417\/7*d**t + 859\/7*d**3 + 72\/7*d = 0.\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34999885 rounded to 3 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m - 62. Let p be v(4). Suppose 9*l + 3*z + 796 = p*l, -2*l - 5*z + 337 = 0. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4556 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122778166 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 550.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - ((10 + -20 - -4) + 4)) + 0 + -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1)*s)**(17\/4)*s**(-6)\/(s*s**(4\/7)))**39 assuming s is positive.\nAnswer: s**(5655\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 2, x: 1, y: 1}. What is prob of picking 2 u and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 22*w**3 + 3*w**2 - 6*w - 1. Let c be m(2). Calculate the least common multiple of (24\/(-14))\/((-25)\/c) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = 279*w - 7027. Calculate the highest common divisor of 61939 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27 - 0)*33\/(-99). Solve -5*d + b = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222 + 2100011221212?\nAnswer: 2100011202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229428*t**3 - t**2 + 50752*t + 2 wrt t.\nAnswer: 1376568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/170 and 22\/32453.\nAnswer: 324530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 586 = -212. Suppose 44*t + 9204 = d*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11664 and 16092.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 19. Let d(w) = -w - 12. Let g(m) = 8*d(m) - 5*i(m). Let a be g(-2). Solve -2*c + 7*c = 5*k, 4*c + 45 = -a*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4197*x - 2558*x - 1638*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 52752 (b) 0.3 (c) -7\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585886149520 take away 2?\nAnswer: 585886149518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 43. Let b be f(-14). Suppose 5*s + 0*a + 6 = 2*a, 4*s - 2 = 5*a. Is s < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 627, 5053, 17543, 42129, 82843, 143717, 228783?\n\"Answer: 672*d**3 - 278*d + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Let f = z - -10. Suppose f*a - 2*a = 0. Solve 0*d + 3*d - 12 = a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**3 - 4*b**2 - 4*b - 4. What is the hundreds digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 11*u + 27. Let f = -517 + 512. Let l(j) = 3*j**2 - 8*j + 18. Let a(m) = f*d(m) + 7*l(m). Give a(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8191143 micrometers?\nAnswer: 0.0008191143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 2*m + 7. Let g(a) = a - 1. What is -4*g(d) - z(d)?\nAnswer: 4*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 2. Let d be g(-2). Let o = d + -6. Solve -3*i + 4 = -o*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 883526 and 2230?\nAnswer: 4417630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6*(-7)\/42) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/(-988) - 150615\/(-78) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41774 + (57\/95 - 48\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 48627600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7052?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14338 divided by -31?\nAnswer: -14338\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssvssfsvsss. What is prob of sequence fvv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 14}. Give prob of picking 3 o.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 159 + 317 - 775*h**3.\nAnswer: -775*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (25 - 22)) + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4599 and -21\/18688?\nAnswer: 1177344","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-54)\/4455*9*-8*1\/2?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209101877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 5. Let u(x) = -14 + 0*x + x - 4. Let l be u(15). Let o be f(l). Put o, 1, -2 in descending order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 74*t + 1323. Suppose 2*z - 4 = -5*c + 21, -4*c - 45 = -z. Let h = t + z. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6, -h - 3*k + 382 = h. Let w = h - 184. Solve w*n - 3*n = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16942, 16963, 16992, 17023, 17050?\nAnswer: 17067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6664 + 3?\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-8 - (-13 - 1))) + (-25 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -4*z + 30. Let w(s) = 9*s + 4. Let r = -17 + 28. Let f(k) = 5*k + 2. Let u(q) = r*f(q) + z*w(q). Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24796436*a**2 - 180*a + 8125?\nAnswer: -49592872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2393.865ml to litres.\nAnswer: 2.393865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45760 and 290420?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sju when three letters picked without replacement from jsojotvjvoujj?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgwggggwfwtgwwygwgwg. Give prob of sequence gtfg.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2430 at least as big as -2542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*p**6 - 120*p**4 - 21*p**3 + 3297*p**2 - 7*p - 2?\nAnswer: -11040*p**3 - 2880*p - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1895464102 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 - k**2 - 3*k - 2. Suppose -5*p - 10 = -0. Let q(w) = -4*w**3 - w**2 - 2*w - 1. Let g be ((-2)\/6)\/(3*(-13)\/351). Determine g*q(s) + p*j(s).\nAnswer: -4*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874 + 4092 = -84*u - 107*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 33 - m**3 - 8 - 3*m + 2*m + 4*m**4 to x*m**4 + o*m**2 + j*m + k + t*m**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -902 + 1742 - 27*h**3 + 296*h**3 - 839.\nAnswer: 269*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -9724?\nAnswer: 9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000133408 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 51*z + 13. Let n be r(-26). Put n, 0, -2 in descending order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.1496. Let l = -0.06 - u. Round l to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f**2 - 10*f**2 + 3*f**2)*(-2 + 2 + 5*f**2).\nAnswer: -20*f**4 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 - -143 - (42 - 0) - (3 - (0 + 1))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30065192 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -38, 0.4 in decreasing order.\nAnswer: 0.4, 0.12, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**12*w)*w*w**(5\/7)*(w\/w**(2\/27))**(-1\/25) assuming w is positive.\nAnswer: w**(-2140\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (83 - (17 + -12)) + 28 + -21 + -22\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 132877125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 + 3 - -3. Suppose 3*t - q = -0. Let d(a) = 7*a**3 - a**2 - 2*a + 3. Let y be d(t). Round y to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.6 - 30. Let o(j) = -j**3 - 24*j**2 - 5*j - 122. Let p be o(-24). Let u be (5 - 5) + 4\/6. Which is the closest to u? (a) r (b) p (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68753000 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17*n**3 + 8*n**2 + 162*n - 4. Let w(l) = 11*l**3 - 5*l**2 - 101*l + 2. What is 5*p(f) + 8*w(f)?\nAnswer: 3*f**3 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 63784463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 542*s - 35. Let r(f) = -542*f + 35. Let d(b) = -4*l(b) - 5*r(b). Let w be d(-6). Let o = 19669\/6 + w. Find the common denominator of -101\/22 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245 - 171. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9 = 23. Solve -4*g + k*g + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -41*u**3 + 4*u**2 - 5*u. Let n(a) = 23*a**3 - 2*a**2 + 2*a. What is -4*h(k) - 7*n(k)?\nAnswer: 3*k**3 - 2*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*-2*1\/(-4). Let f be (m\/(-2))\/(2\/(-32)). Let v = f - -9. Solve 0 = 4*k + 3*i - 8, -3*k + 20 = -i + v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 107*l**2 + 26 - 130*l**2.\nAnswer: -237*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 0*p**2 + p**2 + (-1 + 2 + 3)*(-4084*p**2 - 4242*p**2 + 220*p**2) as g*p + b*p**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1050671 times 0.03\nAnswer: -31520.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bd3 (base 16) in base 3?\nAnswer: -1121111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029878 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1594*0.047.\nAnswer: 74.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 - 705.8. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 2*c + 9, 0 = -3*c + 3*s. Put c, 2, 0 in descending order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1284, 612, -430, -1842?\nAnswer: -3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2036)\/(-3054))\/(4\/168).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let o(l) = 8*l + 58. Calculate 6*h(z) - o(z).\nAnswer: -2*z - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2 + 6, 18 = -5*x + 2*f. Let o be -1 - (x + -1 - -2). Suppose o = -h - h + 24. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 402*d**2 - 13117*d - 466. Calculate r(160).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/3 - 106*w**2\/3 - 40*w + 216 = 0. What is w?\nAnswer: -3, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 727*v - 727*v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 + 8193*h - 1833930 = 0.\nAnswer: 246, 2485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 + 106*m + 605. What is u(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 + 10*x - 10. Let u be y(10). Let b be (-38)\/(-3) - u\/(-15). What is the units digit of ((-15)\/(-6))\/(1\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 4, q: 1, v: 2, l: 1}. Give prob of sequence vqve.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3259, 3365, 3637, 4153, 4991, 6229?\nAnswer: 7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 413*d + 3 = -2*n - 410*d, -4*d = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 1:15 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242) + sqrt(242))**2*3 + 2 + 4.\nAnswer: 132*sqrt(2) + 2913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.510598*-4.3\nAnswer: 23.6955714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4980182*v - 525*v**2 - 4980182*v + 1 + 1220*v**3 wrt v?\nAnswer: 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -35048?\nAnswer: 35023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3710, 14837, 33384, 59351?\nAnswer: 92738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-482)\/(-5) - (-3)\/5. Suppose -96*o - 38 = -u*o. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/980 and -49\/30?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*t + 3 = -10, -7 = -4*i + 5*t. Suppose 0 = 3*m - i, -4*m = -g + 92 - 6. Calculate the highest common divisor of g and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3411811*i - 6823624*i + 3411784*i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235936 is divided by 122.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14087 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 1, z: 1, v: 1, y: 2}. What is prob of sequence vye?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:07 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -125*y**2. Let z(d) = 16566*d**2. What is p(z(q))?\nAnswer: -34304044500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2. Let y(x) be the third derivative of x**6\/720 + x**4\/8 + 2*x**2. Let u(t) be the second derivative of y(t). Give u(m(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*r = -15, -3 = -4*j - r - 0. Let 0 + 0 - 6*v - 2*v**3 - 6*v**j - 2 = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 142102396.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135080.\nAnswer: 2, 5, 13, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-21))**(-15))**(-3) assuming o is positive.\nAnswer: o**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.70835 + -36.82. What is s rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 13*q + 3*q. Let z be j(2). Suppose -2*m + 44 = 2*t - 4*m, -m = t - z. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -142*s**2 + 1630*s - 3652. Let k(h) = 85*h**2 - 815*h + 1826. Let y(l) = 5*k(l) + 3*m(l). What is the first derivative of y(w) wrt w?\nAnswer: -2*w + 815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 5 (c) -2\/13 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -2\/3, -2.8, 4 in decreasing order.\nAnswer: 4, 3, 0.5, -2\/3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from eieeiiviemteeime.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*i = 75370 + 47606 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6893 - 2.1893. Which is the third smallest value? (a) 0.4 (b) q (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*d**4\/7 - 191*d**3\/7 - 38*d**2\/7 + 137*d + 30\/7 = 0. Calculate d.\nAnswer: -2, -1\/32, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*t**4 + 5412*t**3 + 282048*t**2 + 43264*t.\nAnswer: 2*t*(t + 104)**2*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**2 - 802692*h - 321080.\nAnswer: 4*(h - 40135)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 564*t + 8096. Give f(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -53*w**2 + 6*w - 2. Determine u(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2))**2 + 2)*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104927 + 351078 = 5*k - u, -12 = -3*u. What are the prime factors of k?\nAnswer: 7, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626286078 by -9.\nAnswer: 69587342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817 - 817 + 30*x**2.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 + 275 = 10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 123. Let x be 168\/(-2 + 8) + -4 - a. Solve -x*k + 30*k + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300685 and 466115?\nAnswer: 394799405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 17. Let q be m(9). Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51042510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) - 456\/9. Let h be (x\/15)\/((-2)\/21). Let z be ((-8)\/10)\/((-7)\/h). Solve -z*f = 4*j, -f = -2*f + 4*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 18. Solve 4*q = i - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -64*a**4 - a**3 - a**2 - a + 145. Let i(r) = -r**4 - r**3 - r**2 - r + 1. Let k(f) = i(f) - p(f). Find the first derivative of k(c) wrt c.\nAnswer: 252*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 5969550223?\nAnswer: 5969550222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.4 and 985.5.\nAnswer: 4336.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 69*x - 389. Calculate s(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r - 7*r - 6*r**2 - 34722*r**3 + r**2 + 9 + 34723*r**3.\nAnswer: (r - 3)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e6f (base 16) to base 11\nAnswer: 5943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -3, -4, 20992, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 2. Suppose p - 1 - x = 0. Let v be p\/(-9)*6\/(-8). Which is the closest to 1? (a) 3 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-3) - 62\/(-30). Let c = -0.26 - -0.19. Let a = -0.43 + c. Sort f, -3, a in decreasing order.\nAnswer: a, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - a + 6. Suppose -3*c = 5*g - 15, 5*c = -4*g + c + 4. Let w be b(g). Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*y - 2861 - 1885. Let j = y + -226. Solve -3*w = -5*w + 3*m + 2, -4*w - 2*m - 28 = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 103460205\/7) + 16\/56. Let n = 6527954 + c. Let d = -747923 + n. Round d to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -51\/7116677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*l + 47. Solve 2*p - l = -4*u, u - 13 = 4*p + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*w**2 + 0*w**2 - 157*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:10 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 - p + 1. Let w be o(-3). Let a(f) = 12*f**3 - 3*f**2 + f - 1. Let s be a(2). Let b = w + s. Solve 4*i = -3*h - 0*h - b, 4*h = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 141, 332, 611, 984?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120330 (base 4) to base 15\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 - 3*h + 6. Let u be o(-4). Suppose 2*y + 174 = 3*x - 0*x, u*x + 2*y = 106. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -190, -3 in decreasing order.\nAnswer: 12, -3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 14\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2634076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247336.\nAnswer: 2, 43, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 46. Solve 20 = 3*o + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8) + (-26)\/(-4). Suppose -q + 9 = l. Solve 3*x - 2*x - q = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:58 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p*p*p\/p**1*p)*p**(-1)*p\/(p**(-7)\/p*p)*p**(-2)*(p\/((p\/(p*((p**(2\/3)\/p)\/p)\/p))\/p))**41\/(p**(-1)*p)**(-50) assuming p is positive.\nAnswer: p**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3804.0367 - 3804. Round k to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9667 and -0.5.\nAnswer: 4833.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:32 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1801885, 1801917, 1801963, 1802017, 1802073, 1802125, 1802167?\n\"Answer: -j**3 + 13*j**2 + 1801873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -848 (b) 1\/4 (c) 251 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126499721 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*h**2 + 3*h**2 + h**3 - 2 in the form d + p*h + l*h**2 + m*h**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*u + 2 = -3, g + 2*u = 1. Let j(k) = 5*k**2 - 5*k**2 + 125*k**3 + g - 106*k**3. What is j(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 9*u - 8*u - 10*u - 13*u + 20 to the form h + s*u and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 52 = 2*o + 5*c, o - 24 = -3*c. Suppose -s = v + 2*s - 10, 4*v + 3*s - 31 = 0. Calculate the lowest common multiple of (-8)\/o + (-83)\/(-9) and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = -4*d - 1, -4*n = -5*d - 49. Suppose 3*c + n = c. Suppose -2*o + 3*o = 0. Put 5, c, o in decreasing order.\nAnswer: 5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:51 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 882 = t, -6*f = 18*t - 17*t - 1767. Sort -2, 3, f, -4 in descending order.\nAnswer: f, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 1. Let g(z) = 5*z**2 + 4*z - 8. Let n(s) = g(s) + 4*j(s). Let l be n(-5). Solve -21 = -4*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43790 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1649\/84 + 152\/7. Calculate the common denominator of (2\/(-120))\/(381325\/(-14125) + 27) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - n)*(-1 - 3 - 3) + (1 - 3 + 1)*(-n + 4*n - 2*n) + 41*n - 15*n + 13*n in the form t + m*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g + 100. Determine m(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16082600 rounded to the nearest 10000?\nAnswer: 16080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5978*a - 861. What are the prime factors of t(4)?\nAnswer: 7, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 3 - 13*q + q**2 - 2*q**2. Suppose -19*r + 3*t + 4792 - 4889 = 0, -2*t = 2*r + 38. Let s(z) = -z**2 + 4*z - 1. Determine r*s(j) - 2*d(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/3 - 17*n + 2. Let g(p) = 6*p**2. Give g(r(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(84) - (sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*-3*-1) + sqrt(84)))\/(-1*sqrt(12)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**5\/35 - 121*i**4\/28 - 82*i**3\/7 + 2269. Factor j(v).\nAnswer: v**2*(v - 123)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -3a?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1038*v**3 - 4039*v**2 - 72111*v - 89 wrt v.\nAnswer: 6228*v - 8078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)*5\/(-5). Suppose -2*p + 307 + 211 = z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 11*i**2 + 9*i + 22. Let u be d(-6). Let x(k) = -2*k + 6. Let y(z) be the first derivative of -z**2 + 7*z - 12. Determine u*x(m) - 3*y(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28507370.\nAnswer: 2, 5, 2850737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 10282496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/105*(-98)\/(-28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -40. Let c = t - 3. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*x + 102, -g + 4*g = 5*x + 68. Let c be (-6)\/3 + 10*g. Let m be 13*((-120)\/(-50) + 2\/(-5)). What is the greatest common divisor of m and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10360\/(-518)*(-8)\/(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1005 divide 1224090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 180?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-20)\/(-5))*-2*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 2551, 5493, 9611, 14905?\nAnswer: 21375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 7*i - 163. What is p(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 - 1 = -2*u, 4*j = -4*u + 32. Solve -6*m + m - 7 = -3*n, -3*n = -2*m - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 102\/330481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 + -36. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-12 + -17 + -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 793867?\nAnswer: 793863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/6 - 1\/2. Suppose -7980 = 134*h - 50*h. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a hour in seconds?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1512 and 40.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 15*y**2 - 3*y + 15 = 0. Calculate y.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2647, 2642, 2635, 2626?\nAnswer: 2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 50.71337ug?\nAnswer: 0.00000005071337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 165.30841 and -0.6.\nAnswer: 164.70841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 75*n**2 + 898*n + 24. Let b be s(-12). What is the highest common divisor of 3728 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 13 + (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1438 and 952388 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.60683 to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + w**2 - 1. Let p(u) = u**3 - 11*u**2 - u + 7. Let c be p(11). Let r be (2 - 0)*(-2)\/c. Does 3 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -80. Let b(j) = 5*j + 2 - 1 + 6 - 5. Calculate the remainder when y is divided by b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 9*i - 14. Suppose 0 = -8*x + 25 + 31. Let s be p(x). Suppose -5 = -q - 6*u + 2*u, s = 2*u. Solve -3*l + q = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 413293897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 + 2745 = -225*j - 146 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 25283377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 12, -5*g - 4 = w - 19. Let b = 8 + w. What is the remainder when 4 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 9, 5 in decreasing order.\nAnswer: 9, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17.88. Let v = 46.12 + u. Let o = v - 47.0086. What is o rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 - -5116.57.\nAnswer: 4804.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, h: 2}. Give prob of picking 1 h and 2 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 45 - (3 + 1 + (-1 - 13))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 9. Let b be m(-7). Let s(v) = 2*v + 0 + 3*v - 6*v + 14*v**b + 4. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 55*g**2 - 6*g + 77. Is x(-52) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = -2*y - 6, -4*y + 2*g = -22. Let a(b) = -2*b + 0 - 2 + y - 4 + b**2. Give a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 316*d**2 + 240*d + 241. Calculate the remainder when m(-1) is divided by 385\/5 - (0 - 3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/25 + (-88)\/(-10). Calculate the highest common factor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (-4 - (4 - (13 + 3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + 2 + sqrt(931) - ((-2 + sqrt(931) + sqrt(931)*-5)**2 + sqrt(931) + 3))*-6.\nAnswer: 672*sqrt(19) + 89442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3622435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 4*x = 14*f - 14, 0 = 4*f - 3*x + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9366 = 294*o - 740*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k**5 + 8*k**4 + 108*k**3 - 24*k**2 - 176*k + 96 = 0. Calculate k.\nAnswer: -2, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 0 - (-5 + 8). Let v be 49 - (j - 1 - -3). Suppose 3*y = -2*i + 46, 0 = 2*i - 2*y - 0*y - v. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88404242 to the power of 1\/2, to the nearest integer?\nAnswer: 9402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6, -37*u - 3*h - 327 = -36*u. Is -318 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*x + 13, -14 = 106*h - 103*h + 4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 57. Suppose d*s + 3*f - 28 - 521 = 0, -3*s + 831 = -3*f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 505*b - 1007. Determine i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-5886)\/(-10) + 39\/(-65). What is h rounded to the nearest ten?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -2\/9, -79579, -0.3 in ascending order.\nAnswer: -79579, -0.3, -2\/9, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3953, -7903, -11853?\n\"Answer: -3950*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00265156561 to 7 decimal places.\nAnswer: 0.0026516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-1 + (-2 - 9)). List the prime factors of (-652)\/(-6) - (80\/c)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let w(j) = j**2 - 3*j - 4. Let b be w(5). Let h = -11 + b. What is the smallest value in 0, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:50 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23388 - 12787. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 312. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21555 and 97227420.\nAnswer: 291682260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 833 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220590 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 4*m + 0*m + 2*m - 3*m wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 893*f**2 + 4*f. Let q(s) = -36088*s. Calculate q(x(p)).\nAnswer: -32226584*p**2 - 144352*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65705313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 + 5*i**2 - 46*i + 40. What is z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126999\/7 - 18083. Let k = 60 - i. Determine l so that 2\/7*l - 2\/7*l**3 + 2\/7*l**2 - k*l**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8620*b**6 - 137*b**5 + 1611*b**2 - 2*b + 338?\nAnswer: -1034400*b**3 - 8220*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i = 159 + 181 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-8) - 4\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81470 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -257386.2916 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 7*t - 16. Suppose -8*u + u - 49 = 0. Is p(u) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**2 + n**3 + 0 + 0*n - 1\/24*n**5 + 0*n**4. Let a(r) be the first derivative of s(r). Let y(i) = -i. Calculate y(a(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-11248722034\nAnswer: -11248722034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-86)\/(-2) + -4 + -4)*421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -499*h**4\/4 + 527*h**2\/2 + 90*h + 10. Differentiate v(b) wrt b.\nAnswer: -2994*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -14 - (37 - (38 - 17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + v - 4 + (-4*v + 3*v - v)*(1 - 3 + 0) + 0*v - 2*v + v - 59*v + 24*v + 27*v)*(2 - 4 + 1)*(-2 + 3 + 0) in the form c + w*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/111, -0.1, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(((-96)\/(-360))\/((-10464)\/(-120))).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/23416 or -10\/163?\nAnswer: -10\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30765540 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (11 - (-19 - -23)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 64*x + 71. Calculate the remainder when q(30) is divided by 176.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t. Let p(k) be the first derivative of -k**2\/2 - 14*k - 30. Calculate p(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 13*i**2 - 8*i**2 + 4*i - 4 + i. What is the lowest common multiple of v(-2) and -2*(-16 - (-3 + 0))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -49 - (-3034 + 3049)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -31 (b) -7 (c) 4 (d) -1\/6 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 + 3*l**3 + l**3 + 2*l**3 - 1 + l**2. Let y be v(-1). What is the units digit of (y\/(-6) - 1) + (-364)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (7 - 0))*(0 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y - 129 = -3*l, -3*l = -4*y + 159. Calculate the remainder when y is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Suppose 0 = -2*p - 5*i + 19, 3*p - 3*i = -p - 1. Let b(m) = 2 - 3 + 1 - 3*m**p. Calculate b(n(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s. Let f = -0.02 - 0.38. Which is the second smallest value? (a) s (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321110042 + -2?\nAnswer: 321110040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -386387417 and 4?\nAnswer: -1545549668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 508864 = -d, j + 44*d - 169617 = 40*d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:08 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0 + 0*o - 67*o**2 - 1\/660*o**5 - 6\/11*o**3 - 1\/22*o**4. Suppose p(j) = 0. Calculate j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Let b = 8 - k. Is 0 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40796249 and 1083?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*b + 8 = 0, -2*z + 2*b - 7 - 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 - 1035\/4. Let h = -14 - -14.007. Sort h, 0, m in decreasing order.\nAnswer: m, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:39 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*w - z, 11*z = -5*w + 12*z + 71. Solve 5*b + w = -t, 4*b + 5*t - 4 = -37 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 3)*((3*n + 0*n - 5*n)*(-3 + 2 - 1) + 3*n + 2*n - 2*n)*(-290 + 23 - 303) in the form x + h*n and give h.\nAnswer: -15960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 11. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 448 + -67549?\nAnswer: -67101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4472660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 298\/(-14) - (-34)\/119. Let i = 66 - c. Calculate the greatest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 6*j - 1. Let v(t) = 5*t**3 - t**2. Let g be v(1). Suppose -5*s + 2*r + 0*r = 79, -3*r + 66 = -g*s. Let u = s + 21. Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7669, -8\/7, 163 in increasing order.\nAnswer: -7669, -8\/7, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62393.2 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232810 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 204*i**2 - 130*i - 466. Is p(-102) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -247*o - 593*o - 8104*o**3 + 7*o**2 + 8103*o**3 + 900 - 66*o**2 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*o + 189*o - 255*o = -22893 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -3 - 0) + 3 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18930 - -18929. Which is the nearest to -0.01? (a) t (b) -81 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3176\/29, -2, -36, -4, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 1628422.\nAnswer: 13\/1628422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 25. What is the greatest common factor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(-1 - -4)\/(-9). Suppose 5*y = -5*s + 5 + 5, -w*y + 2*s - 16 = 0. List the prime factors of (y - -4) + -5 - -27.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(192) + (sqrt(192)*1 + 4)**2 + sqrt(192) + sqrt(192) - ((sqrt(192) - -2*sqrt(192)*2) + (-2 + sqrt(192) + 0 - sqrt(192) - sqrt(192))**2).\nAnswer: 9 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 33627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -u - 9, 29 - 22 = 3*u + 2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 14.78. Let t = 14.7 + n. What is the smallest value in 3\/4, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202012200 - -2?\nAnswer: 12202012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12674748 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9072\/(-280))\/(-81))\/((-26)\/20)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(343) + 2.\nAnswer: -84*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 183*j\/2 - 90.\nAnswer: -3*(j + 1)*(j + 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32680 and 3268?\nAnswer: 32680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219117.145 rounded to the nearest one hundred?\nAnswer: 219100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 35, -4*i + 3*i + 3 = -w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (23\/46)\/((-2)\/(-4)). What is the greatest common factor of z and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/555446 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59 (b) 0.1 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.449586 months in decades?\nAnswer: 0.12874655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-3161)\/1)\/((-6)\/15). Suppose -26*b + 6035 = -r. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/32 - 18\/48\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -40.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z. Let n be ((-14)\/(-12))\/(2737\/3128). Let d(a) be the first derivative of 7 + 0*a**2 + 0*a + n*a**3. Give h(d(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 21. Let s(j) = 3*j - 12. Suppose w = -4*w + 45. Calculate the least common multiple of s(x) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3944\/9 smaller than -437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 61.6. Let l = -866 + 870.7. Let n = l + x. What is the nearest to -2\/5 in n, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:32 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428541 to the power of 1\/2, to the nearest integer?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068, 1070, 1072?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 m when three letters picked without replacement from ooggooogoohaogoggmao.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.109 + 5.891. Let g be 6\/81*9\/3. Which is the smallest value? (a) -2 (b) k (c) -6 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7\/(h*(h\/(h**(1\/56)\/h))\/h*h*h) assuming h is positive.\nAnswer: h**(169\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25858191 less than 25858191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdd when three letters picked without replacement from {o: 4, s: 2, d: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -598 - -956. Suppose 4*g + 2*k - w = 0, -k + 70 = -2*g + 255. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 844, 1271, 1700, 2131, 2564?\nAnswer: 2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -6. Suppose 2*l + b = 3*l. Suppose o = 2*o - l. What is the highest common factor of 85 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145, -324, -491, -634, -741?\n\"Answer: 2*m**3 - 6*m**2 - 175*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12623059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 2*d + 18. What is k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-41)*n\/(n*n**27*n)*(n*n**(2\/5))\/(n*n**(-2\/15)) assuming n is positive.\nAnswer: n**(-1027\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462514, 462522, 462542, 462580, 462642?\nAnswer: 462734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 + 2*u**3 + (1 - 2 + 3 + (1 - 4 + 1)*(0 + 5 - 6) + 1 + 4 - 6)*(-4*u**3 - 6*u**3 + 4*u**3).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 10*z**2 - 4*z**2 - 4*z**2 - 2*z - 2*z**4 + 2*z**3 in the form n + m*z**4 + t*z**3 + j*z + b*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p - 164 = 96 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192285, 769157, 1730613, 3076659, 4807301, 6922545, 9422397?\nAnswer: 12306863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010521 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 36*l**2 - 5*l + 2. Let o(g) = -40*g**2 + 6*g - 3. Let t(q) = 3*i(q) + 2*o(q). Let z(f) = -2*f**2. What is t(z(b))?\nAnswer: 112*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/8)\/p*p**(-2\/31)\/p)**49 assuming p is positive.\nAnswer: p**(-17493\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*n - 9 - 616*n + 9.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88576*k**2*x**3 - 18*k*x**3 + 129*k*x wrt k?\nAnswer: -177152*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 771. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 12*k**4 - k**2)*(2 + 55*k - 13*k - 8*k).\nAnswer: 408*k**5 + 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 666 + 1039 = 0. Calculate the greatest common factor of a and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2552*t = 2410*t - 1704 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48918.1512 less than 2714.38?\nAnswer: -46203.7712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24706\/13 - -12747269\/6708. Calculate the common denominator of -23\/120 and a.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 2, x: 2, i: 1, d: 1, p: 2}. Give prob of picking 1 w, 1 p, and 2 x.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*w + 50262, -1796 + 41990 = 4*r - w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, 2\/11, -26, 2.\nAnswer: -26, -2, -2\/9, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/400*-10*-4)\/(4\/(-104)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214925 in -4, -1, 5.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 35. Calculate the highest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-960)\/90*63\/(-588)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001277 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87.6 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/78*(-24)\/(-1480).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 2*c**2 - 2*c**2 - c**4 + c**4 + c**4 + (-c - 3*c + 3*c)*(-3*c**2 + 3*c**2 - 2*c**3) + (-1 + 5 + 2)*(30*c**3 - 30*c**3 - 9*c**4).\nAnswer: -52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/20 - ((-26)\/(-8) - 4). Suppose -45*t - 58 = 32. What is the fourth smallest value in -2\/3, 3\/5, t, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09023052 rounded to four dps?\nAnswer: 1.0902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 315663*f + 7425*f**2 - 315663*f.\nAnswer: 7425*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p. Let f(o) = -16026*o**2 + 20*o. Give l(f(g)).\nAnswer: -96156*g**2 + 120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 155, 135, 71, -61, -285, -625?\n\"Answer: -4*h**3 + 2*h**2 + 2*h + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*p - 10 = 0, 5*o + 5*p = 5 + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let j(m) be the third derivative of m**4\/8 - m**3\/2 + 10*m**2. Determine a(j(f)).\nAnswer: 6*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704)*1 - sqrt(704)))\/(sqrt(20)\/sqrt(80) - sqrt(4)).\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 5) + -6 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 x when four letters picked without replacement from {g: 1, x: 10, o: 4, w: 3}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*r - 9 = 0, 4*r + 2 = p - 7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.96. Let m = f + -0.56. Let d = m - -1. Which is the nearest to -1\/3? (a) -5\/4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4584 and -13\/6852.\nAnswer: 2617464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-180))\/(1\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 284924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8493?\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -4*i. Suppose -33*m + 185 = 20. Suppose 5*p = -3*g + i*g + 150, 0 = -g - m. Calculate the remainder when 82 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let y(r) = -12*r. Let m(u) = u. Let g(j) = -m(j) - y(j). Let c(k) = -6*a(k) - g(k). Suppose 14*l - 13*l - 1 = 4*t, -4*l = 12. Determine c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229075083.\nAnswer: 3, 829, 30703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24.8 - 6026808084\nAnswer: -6026808108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 9, t: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2335 - 3?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 5982.\nAnswer: 5968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.5372 < 7\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 3*w + (1 - 1 + w)*(2 + 3 - 4) - w - w + 4*w)*(5 - 1 - 5)*(-1 + 2 + 6).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9951 is divided by 9944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 607*r. Let c(m) = 5319*m - 6. Determine y(c(q)).\nAnswer: 3228633*q - 3642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 20 - (-6)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 565 + -79099\/140. Let g(f) be the third derivative of 0 + 10*f**2 + 0*f + j*f**5 + 0*f**4 + 1\/98*f**7 + 0*f**3 + 1\/70*f**6 + 1\/392*f**8. Factor g(w).\nAnswer: 3*w**2*(w + 1)**2*(2*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/4 + 195828*j**4 + 51135390495*j**3\/4 + 255644054391*j**2\/2 + 204510230508*j = 0. What is j?\nAnswer: -130547, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -3*j - 25, 3*a - 16 = j. Suppose -a*u + u = u. Solve u = 4*n - 20, 0 = 5*s + 4*n - n - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 742 in 2\/5, -1, -19\/6, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -4)*5 + -2 - (1 + 1*sqrt(242) - 1*(2 + sqrt(242) + sqrt(242))))**2 + 4.\nAnswer: -2772*sqrt(2) + 9157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1055350, -2110664, -3165978, -4221298, -5276630?\nAnswer: -6331980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-270) - 86\/(-30). Which is smaller: v or 25\/13?\nAnswer: 25\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 124.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 17262?\nAnswer: 17263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edeedddeeede. Give prob of sequence eee.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289 is divided by 54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71966.21 litres in millilitres?\nAnswer: 71966210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611 divided by 3.\nAnswer: -611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 18.14. Which is the nearest to -1? (a) 3 (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 3*l + 2*l + (5*l - 4*l + l)*(-1 - 1 + 0) - 2*l - 4 + 4 - 2*l + 3*l + 0*l - 3*l + 1 + 0*l + 0*l.\nAnswer: -7*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -12. Is 312 + (d - 6) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3 - 4046685*l**2 + l + 39297511.\nAnswer: 3*l**2 - 8093370*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**3 - 10*a**3 - 3*a**3)*(-10 + 10 - 2*a)*(3 - 5 + 0).\nAnswer: -104*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13990938 divided by 38649.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - t = 4, -2*t = -6. Solve d*k + 7 = 14*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182.7 + -182.7004818. Round o to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - n + 13, 2*n - 6 = -k - 0*n. Let j(o) = 6*o**2 + 3*o + 3. Is 29 a factor of j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*d - x - 24, -14 = -3*d + x. Suppose -3*i - 93 = 5*h - 2*h, -179 = d*h - i. Let j = h - -54. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/43 (c) -6 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/(-8))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53416671 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -2. Suppose -2*k - 4*w = 2*k - 20, -5*k - x = -2*w. What is the first derivative of 1 - 8*o + o + 0 + k*o wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 - (-6)\/36. Sort 4, -418, z, -2.\nAnswer: -418, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1321123 or 1321124?\nAnswer: 1321123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 5*s - 5*s)*(0*s - 3*s + 4*s) + 5*s - 50*s**3 - s + 47*s**3.\nAnswer: -5*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/875)\/((-16)\/(-12))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-17 - (8 - 17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -46. Suppose -g*k - 26 = -5*a, -3*k + 9 = -6*k. Suppose -2*z = -z - 5. Solve -a*d = d + z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2814367 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + i + 5 = 6, -2*i = -w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtx when three letters picked without replacement from xxkvxxktxcvxxxxvkk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -14)*(147\/49 - (-22)\/(-3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4849040066 to the nearest integer?\nAnswer: 69635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42\/11*w + 92\/11 - 2\/11*w**2 = 0. What is w?\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*l - 1830, -2*m = -l - 4*l + 1802. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 6*q - 3*q)*(-q + q + 2*q)*(-22*q - 8*q + q).\nAnswer: -58*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4)*4\/(-6). Suppose -2*x - u = -0*x - 1, 5*x = -i*u + 3. Let b = 4 - 3.9. Put b, -0.5, -2, x in descending order.\nAnswer: b, x, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l + 4*o, -5*l + o + 4*o - 5 = 0. Solve l*i + 2 = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 7550*z**2 + 301715*z - 837330.\nAnswer: 5*(z - 1469)*(z - 38)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -22038*r - 61 - 105 + 166 in the form w + q*r and give q.\nAnswer: -22038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1*(4 + 12\/(-2))). Which is the closest to 4? (a) h (b) -1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-88479)\/(-189) - (7 - 3)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 4) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*55589\nAnswer: -16676.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 8*p**2 - 2*p + 14. Let q be u(-4). What is the greatest common divisor of 286 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9614719 = -6*k - 5612861. Let c be k\/660 - (-2)\/11. Let o = 3830 + c. Calculate the common denominator of o and -5\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453151, -451429, -449707?\nAnswer: -447985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -390533?\nAnswer: 390528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -587118 or -4109835\/7?\nAnswer: -4109835\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27830783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1588 + -1518. Sort 0.3, -0.2, 1, c in ascending order.\nAnswer: -0.2, 0.3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 28458*k**3 + 85360*k**2 + 56904*k = 0 for k.\nAnswer: -14226, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, -10, 5, 7 in descending order.\nAnswer: 7, 5, 4, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 3:22 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 - b - 3. Let r be o(-2). List the prime factors of 15\/(-10)*r*166.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 12. Suppose z*t + r + 2*r - 126 = 0, -t + 54 = 4*r. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18087 (base 9) to base 2\nAnswer: -11000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1892524\/315 - 6008. Let z(x) be the second derivative of -1\/441*x**7 + 0*x**3 - 1\/70*x**5 - l*x**6 + 0 + 0*x**2 + 0*x**4 + 12*x. Factor z(m).\nAnswer: -2*m**3*(m + 1)*(m + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1242)\/2070*3\/7*-5?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 6 - 2 = 0, -4*s = -2*c - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 13. Let l be ((-6)\/p - 0)\/(4\/216). Let y = 36 + l. Is y smaller than 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + 76*n = -231*n - 497*n - 11508 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2)\/a)*a*a)**(6\/29)\/(a**(2\/17)*(a\/a**6*a)\/a) assuming a is positive.\nAnswer: a**(3019\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 24. Solve -6*q + 2*q = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1773322155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -66. Let f = -6.92 - o. Which is the third smallest value? (a) -5\/4 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 divided by -82.\nAnswer: 311\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 7, 74, 177, 328, 539, 822, 1189?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 12, -3, -42, -111?\n\"Answer: -k**3 - 3*k**2 + 19*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655870.\nAnswer: 2, 5, 165587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146980.\nAnswer: 2, 5, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2242 + -2241.7. Which is the nearest to 2? (a) 1.8 (b) 3 (c) -2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 98 + 177. Let b = -25 + j. Suppose -4*g + b*g = -16196. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -1.22, -1\/3, 2, -3, -76?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -252, -2048, -6920, -16404, -32036, -55352, -87888?\n\"Answer: -256*o**3 - 2*o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5313 = 209*g - 15831 - 2108 - 3082 for g.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 23*l**3 + 3564*l**2 - 157*l - 322. Give n(-155).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 10*k**2 - 7*k + 218455. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 + 5 + 2*y - 5. Let m(p) be the first derivative of -p**3\/3 - 11*p**2\/2 + 11*p - 2626. Calculate 2*m(f) + 11*z(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 66 + 12. Let d be (-118)\/(-38) - g\/(-171). Which is the second biggest value? (a) 0.5 (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1777423 (base 8) to base 5\nAnswer: 113232201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(3 - 5 + 3)*(i - 2*i + 3*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-21)\/(84\/(-16)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-2\/13)\/w)\/w))\/w**(1\/2))\/(w**(-1\/2)\/w)**(4\/31) assuming w is positive.\nAnswer: w**(2295\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/1054 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and -19\/2886.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)\/(n\/((n\/n**(-6))\/n*n)))**(-7\/3)\/(n\/(n**3\/n)*n*n*n**4*n)**(-6\/35) assuming n is positive.\nAnswer: n**(-8417\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgefgeeeegrgdfef. Give prob of sequence efg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 6*c + 3. Let h be b(6). Suppose -5 = -h*d + 5*i, i = 2*d + 6*i + 5. Solve -4*m - 7 = a, 3*a + d*a - 18 = m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240934*d**4 + 92*d**3 - 8375*d**2 + 19173.\nAnswer: 5782416*d + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/9 + 252848*y**2\/9 + 9595228*y\/3 + 91113512.\nAnswer: 4*(y + 57)**2*(y + 63098)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -16, 13, 80, 197, 376, 629?\n\"Answer: 2*z**3 + z**2 - 14*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*l = 42*l + 664 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26176, -26257, -26400, -26611, -26896, -27261?\n\"Answer: -a**3 - 25*a**2 + a - 26151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 33*n + 50. Let d(p) = 50*p + 76. Let s(l) = -5*d(l) + 7*q(l). What is the derivative of s(w) wrt w?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-11)\/(-2). Suppose h*a = 1276 - 281. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or 0.01241?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a8 - 76?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -515 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:37 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (73\/146)\/((-15)\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g + 5. Let w = 168 - 162. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*b + 57. Suppose 194 = -b*n + 90. Which is smaller: -24 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37328 less than or equal to -37328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.79 - 0.29. Let w = 3.2 - 0.2. Let h = w - n. What is h rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 22, 30, 38, 46?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133\/2*q**2 - 38*q**3 + 3\/2*q**4 + 0 - 27*q = 0. What is q?\nAnswer: -1, -2\/3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313203001 (base 4) to base 9\nAnswer: -376081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 2\/5 (c) 1\/8 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*b - 3 - 6 = 0, 5*b = 5*z + 30. Is z equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 - (2 + -8). Suppose -m*t + 85 = 3*a + 33, -2*a = 4*t - 42. Suppose 0 = -3*f + 7 + t. Calculate the least common multiple of 2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 7*j - 9*j - 64673, -j + 43113 = 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92491.46 centuries?\nAnswer: 924914.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**2 - 9*q**2 + 27*q**2 - 3*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by (4 - (6 - 1))\/(1\/(-46))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 4*r**3 + 416*r**2 + 3*r**4 - 417*r**2 to the form w*r**4 + h*r**2 + n + f*r + o*r**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 2425160050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1735152)\/1800)\/(-74) + -13\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 1)*(j**2 + 0*j**2 - 3*j**2) + j**2 + 0*j**2 - 2*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.6 (c) -2 (d) 11 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + (-4 + 2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 21. Let o(r) = -r - 4*r - 3 + r + r. Let v be o(-2). Sort t, 5, v in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728111 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1809304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 4.6. Let z be 2 + ((-4)\/7)\/(32\/(-112)). Let l = 0 - z. What is the closest to -2 in q, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 7*h**2 + 7*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 2712.48?\nAnswer: -3797.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(((r*r*r**(-1)*r)\/r)\/r)\/r*r*r*r*r*r\/r**(2\/7))\/(r**(1\/5)*r*(r*r*r**(3\/2)\/r*r)\/r))**45 assuming r is positive.\nAnswer: r**(1269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5 - 30. Let u be 2 - (0 + -2 + f). Solve -2*s - u = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*s**2 + 45*s**2 + 53*s + 42*s**2)*(18*s - 49 + 49) to o*s**2 + n + l*s + v*s**3 and give o.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**6\/120 - 7*z**5\/60 + z**4\/4 + 7*z**3\/6 - 2*z**2 - 3*z. Let k(u) be the first derivative of t(u). Is k(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 + k + 4. Let h be w(-4). Suppose -2*d - 2*a - 2*a + 4 = h, 3*a - 10 = -5*d. Solve 24 - 4 = 5*s - 5*f, 4*s = -d*f + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 5*o - 35 = 0, 0 = -q - 5*o + 17. Suppose 0 = 5*v + 2 + 3. What is the units digit of (v + 86\/q)\/(10\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2) + 3 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*v - 359*v - 317*v - 158*v + 143*v)*(0 + v + 0) to the form p + q*v + s*v**2 and give s.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 18120430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2))\/((-350)\/(-28)))\/(1344\/(-720))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 5243*t + 5334*t + 2*t**2)*(-1 + 4 - 2).\nAnswer: 3*t**2 + 91*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1485, -29, 0, 12.\nAnswer: -1485, -29, -4, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 7*l**2 + 21*l - 13. Let f be k(8). Suppose -5*v = -2*m - 415, -3*m - 501 = -5*v - f. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 3, o: 7}. What is prob of picking 2 a and 1 o?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/7 - (7 - 97911\/63).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*h - 7 - 8, 5*j - 55 = -5*h. Suppose -p - j = 3*k - 57, 3*k = -5*p + 207. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/523 and -23\/4184?\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63104 and 37961?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8519\/6 - -1408. Find the common denominator of h and 22\/12 + 2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 2, z: 1, l: 5, p: 2, h: 2}. Give prob of sequence tpp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r\/(r\/(r\/((r*r**(-1))\/r)))*r))*r*r**8)**(1\/43) assuming r is positive.\nAnswer: r**(12\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1620800 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + -0.04. Let b = -0.06 + n. Sort 3\/4, 6\/7, b in ascending order.\nAnswer: b, 3\/4, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50407493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 146*d**2 + 83*d + 2*d**2 + 9*d - 92*d. Let p(y) = y. Calculate p(k(f)).\nAnswer: 148*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - v = -6*h - 4, h = -v + 1. Let o(b) be the first derivative of -27\/5*b - 1\/5*b**h - 9\/5*b**2 + 2. Suppose o(x) = 0. Calculate x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - h**2 - 6*h - 35. Does 61 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let i(u) = 31*u - 10. Let w(y) = 1025*y - 328. Let f(r) = -164*i(r) + 5*w(r). Determine f(v(z)).\nAnswer: -82*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*y + 5 = 0, -s - 2*s = -3*y - 24. Sort -5, -3, 3, s in decreasing order.\nAnswer: s, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 + 2*q + 25. Let s(o) be the first derivative of -o**4\/2 - 4*o**3 - 5*o**2\/2 - 51*o + 18. Let r(v) = -5*a(v) - 2*s(v). Is r(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:07 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.868 - -2. Let x = l + -0.132. Which is the closest to 3? (a) 0.3 (b) x (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 709 - 709.1. Which is the second biggest value? (a) 0.1 (b) -24 (c) -18 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 1:45 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 13*l + 273 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 90 = -111 - 496 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (-37 - -3) - -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -148, -1186, -3980, -9400, -18316?\n\"Answer: -145*m**3 - 8*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*(-60)\/18. Suppose 0 = -2*j + 19 + l. Suppose 4*m + j = 72. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3987012\/25 or -159479?\nAnswer: -3987012\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)**42*(t\/t**(2\/23))\/(t**9*t*t*t) assuming t is positive.\nAnswer: t**(711\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 92. Let h = o + 17. Suppose -5*v - 2*t = -0*v - 6801, 0 = -h*v - 3*t + 6799. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*z + 2 = -253*z. Solve v - 2*c = 10 - 18, z*c = -5*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 32962*n**2 + 98885*n - 1. Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 84*n - 1669. What is s(20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-12) + (-574)\/(-12). Suppose -i = -3*m - m. Suppose 20 = 4*l - m. Calculate the smallest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 + 11)*44\/(-770))\/(27\/84)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-15))\/((-3)\/5). Let d = -0.1 - -2.1. Which is the second biggest value? (a) -3 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5\/12*w**4 + 5\/2*w**2 + 0*w**3 + 0 - 13*w. Differentiate h(r) with respect to r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 3*k + 3. Let x(v) = -3*v**2 - 2*v - 3. What is 2*j(a) + 3*x(a)?\nAnswer: -3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112042 + 112042 + 71*i**2.\nAnswer: 71*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*d = -d - 32, 4*v - 3*d = 25. Let q(k) = -3*k**2 + 1 + 1 - 2*k**2 + v*k**2. What is q(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + ((-352)\/58)\/2. Are k and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/(-38)*3\/4*(-4)\/(-60).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/15 + 3*o**5\/5 + 4*o**4\/3 - 140*o. Determine v, given that y(v) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 57*h - 244. Determine v(-52).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d5 + -12?\nAnswer: 5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1064 and 12635?\nAnswer: 101080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 4. Let v = 1 + k. Let z = -491.975 + 494.975. Which is the nearest to 2\/3? (a) -0.5 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20298 * -1.72\nAnswer: -34912.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + (1 + sqrt(468))**2.\nAnswer: 13*sqrt(13) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p - 2. Let h be t(5). Suppose -h*o + w + 20 = -0*o, -10 = 5*w. Solve -3*g = -5*y - 28, 0*g - o = y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1144, -2298, -3454, -4612, -5772?\n\"Answer: -q**2 - 1151*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*x, 5*x = 3*g + 35 - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 5*y - 2*y + 2*y**3 - 3*y**3 - 3. Let l be o(2). Let a(c) = -c**2 + 4*c + 1. What is the lowest common multiple of a(l) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37684, 150749, 339192, 603013?\n\"Answer: 37689*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + 5.08. Let m = 11.6 - 11.527. Let v = 0.227 + m. Sort -1\/2, v, r in increasing order.\nAnswer: -1\/2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*h. Let s = h + 4. Suppose -4*n - n = 0. Solve n = -4*x + 4*k + 4, 3*x - k + s*k = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 11. Let u be (3 - (3 + (-8)\/(-4)))*3. Let w be i(u). Suppose -3*y + 358 = 4*n, 0 - 8 = 4*y. Calculate the highest common divisor of w and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*b**3 + 93*b**2 + 1036*b + 2 wrt b?\nAnswer: -1434*b + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7410\/150 + 64\/(-160).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0147 (b) -1\/10 (c) -0.2 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011101 - -1101010110001001?\nAnswer: 1100111000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 259232700 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(85)*-5 - sqrt(85))*-5)\/(sqrt(30)\/(sqrt(6) + sqrt(6)*-5)))*-1.\nAnswer: 2 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1865+-72358.9\nAnswer: -70493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 5*h - 3*h + (2 - 5 + 2)*(-6*h + 5*h + 4*h) + 2*h - 2*h + 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q - 5*q)*(2*q + 4*q - 4*q)*(-65 - 78 + 1 + (-5 + 2 + 1)*(-2 + 0 + 3)).\nAnswer: -288*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/33 and -79\/11400.\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.5 and -0.4?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 + 154. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 237\/9 + 7\/(-21). Suppose l*j - 168 = -16*j. Let h = -0.09 - 3.91. Which is the third smallest value? (a) 2\/7 (b) -6\/7 (c) h (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/(-638)*44\/(-12)*(2 - (-67)\/(-26)).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2*-1*1). Let o = 16\/105 + -478\/4515. Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 865, 1274, 1649, 1978, 2249, 2450?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 56?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from xehrrexxxhxrrerrxhr?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108.069 - 27.032. Let g = -134.5 - p. Let a = g - 0.6. What is a rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*(d\/(d*d\/((d*d**4\/d*d*d)\/d)))\/d)**(2\/65) assuming d is positive.\nAnswer: d**(14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44))*-2 + (sqrt(11)*-2 - sqrt(11))*-1.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65851255?\nAnswer: 5, 263, 50077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35781797, 35781795, 35781793?\nAnswer: 35781791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 1. Let p(o) = -13*o - 4. Let n be 4 + (5 - (-8)\/(-1)). Let u(q) = n*p(q) - 4*z(q). Let x(b) = -19*b**2. Determine u(x(f)).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 7*f - 26*f**2 - 3*f**3 - 17756637 + 17756639 to z*f**2 + t*f + k*f**3 + a and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -93269988.54 rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*t - 216 = -419*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 111601*s + 1004415. What is w(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akakakkuuuu. What is prob of sequence aau?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*8\/160)\/((4\/(-1))\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651870 and 11790?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307 (base 13) to base 6.\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 162. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 206?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*x + 131631 = 815*x + 2942*x - 187425 for x.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19248024 divided by -631\nAnswer: 30504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:48 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 5*p**3\/2 - 51*p**2\/2 + 45*p - 29. Let j(z) be the first derivative of b(z). Find the first derivative of j(q) wrt q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b. Let t(j) be the first derivative of 0*j - 5\/3*j**3 + 0*j**2 - 38. Calculate z(t(r)).\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*i - 3*i. Suppose 27*m - 23*m - 3*o = 429, m = o + 107. Calculate the least common multiple of m and i.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 375?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*1)\/2*-1. Let i(h) = -2*h + 94. Let x be i(0). Let d = y + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.234 (c) 0.2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 8*a**2 + 2*a + 1. Let v be -4 - (3 + -1 - -1). Does 12 divide n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**2 - 49*n**2 + 79*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0453+675605.169\nAnswer: 675605.1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(96\/8))\/((-50)\/(-30))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42706800 rounded to the nearest one hundred thousand?\nAnswer: -42700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*q**2 + 8*j**3*q - 5*j**3 + 51*j**2 - 96*j*q**2 + 146*q**2 + 1 wrt q?\nAnswer: 2*j**3 - 192*j + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 - -200)\/(-2). Suppose -3*u + 80 = -w, -2*u + 5*w + k = 28. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 251253\nAnswer: -12562.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000 + -0.1.\nAnswer: 999.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 59\/3. Let j(g) = 27*g**2. Let o be j(1). Let y be 2\/5 + o\/(-5). Which is the smallest value? (a) 4 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 498 - 508 = 5*z, -4*z - 5*k + 25 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (44849 - 44849 - 163*s**2)*(51 + 53 - 26 + 15) in the form w*s**2 + u + r*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 32. Suppose -s*o - 2 = -w, -w + 3*w - o = 4. Suppose w*q = 6*q - 32. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120 - -1223021303?\nAnswer: 1223013123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103 at least -1101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5590 = -133*f - 302*f + 3980 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-160))\/((-6)\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 43 + 25 = 0. Suppose 2*w + 0*w - 58 = 0. Let o = w - x. Solve 2*k - 4 = -o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by -37497.\nAnswer: 178\/37497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c, 640 + 362 = 5*g - c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 81*x - 44*x - 39*x + 8. Let s be h(-6). Calculate the greatest common factor of s and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11371 is divided by 2841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 1 + 8*n**5 - 7*n**5 + (-2*n - n + n)*(-5*n**4 + 3*n**4 + 4*n**4).\nAnswer: -3*n**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -146665, -5, -0.031 in descending order.\nAnswer: -0.031, -5, -146665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 91*v + 23.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 2*(-6 + 1). Suppose 0 = w - 35 - 13. Calculate the highest common factor of w and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30653 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: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {h: 1, o: 1, p: 2, j: 1, n: 1, d: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73764*k**3*p*w**2 - 35*k**3*w - k*p*w**3 - 1546*k*w**3 wrt p?\nAnswer: -73764*k**3*w**2 - k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 + 8*i + 8. Let d be g(-6). Suppose q + 3*q - 392 = 0. Let k be q\/22*42\/49 + -4. What is the biggest value in d, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) + sqrt(84)*-2) - sqrt(84) - sqrt(84) - sqrt(84))\/((1*sqrt(84))\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72442919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (0 + sqrt(2299) - sqrt(2299))) + -4 - sqrt(2299)*2*1)**2 + ((sqrt(190)\/(2*sqrt(250)))**2 - (2*sqrt(171))**2*5).\nAnswer: -110481\/100 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let t(x) = -33044*x. What is t(r(f))?\nAnswer: 66088*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-70))\/(6206\/1303260)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -691 + 17273\/25. Let c = -7\/25 - q. Let x = -7 + 11. What is the second biggest value in c, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23439 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + 4*u + 2. Let c(o) = -2*o**2 - o - 1. What is -8*c(g) - 3*t(g)?\nAnswer: g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169595, 678363, 1526305, 2713421, 4239711, 6105175?\nAnswer: 8309813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -31*r**2 + 128*r - 23. Let s(d) = 6*d**2 - 26*d + 4. Give 2*g(n) + 11*s(n).\nAnswer: 4*n**2 - 30*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/((-54)\/27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(26)\/(sqrt(4)\/sqrt(2)) - -2*((sqrt(208) - sqrt(13))*4)**2.\nAnswer: -3*sqrt(13) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36110 and 50210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 31 = 4*w, -x = 2*w + 2*x - 17. Let y(p) = 5 - 2*p - p**3 + 6*p**2 + 6*p - 2*p**2. Is y(w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90958402 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*f - 3678 = 0, -5*o + 4*f - 1312 + 4988 = 0. Calculate the highest common factor of 1426 and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.464776 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4421882, 4421884, 4421886, 4421888, 4421890, 4421892?\nAnswer: 4421894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(78) + sqrt(78) + sqrt(78)*-2*-5)*1)\/(-2*sqrt(486)*-5 + sqrt(486) + 1*sqrt(486)*2)*2)**2.\nAnswer: 64\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 523476146059\nAnswer: -523476146058.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 5*c + 13*c. Let d(n) be the first derivative of 8*n + c*n**2 + 1\/3*n**3 - 7. Differentiate d(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1538505\/39 + 17 - (-5)\/((-65)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9920255 and 5.\nAnswer: 9920255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0\/k)\/k)**(-23\/6)\/(k\/k**(-1\/7)*k*k**(-2\/3)))\/(((k\/(k*k\/k**(-1\/4)*k*k*k))\/k)**45)**10 assuming k is positive.\nAnswer: k**(99485\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80876 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -405 - -3486. Is h a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 109 = -3*k + 415, 3*g = 2*k - 184. What is the remainder when k is divided by 66\/(-9)*246\/(-164)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itsissstiti. What is prob of sequence tsss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69692, 69701, 69704, 69695, 69668, 69617, 69536, 69419?\nAnswer: 69260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 24. Calculate the remainder when d is divided by (-1 - -2)*-1*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, e: 9}. Give prob of sequence ee.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 55, 137, 293, 547, 923, 1445?\n\"Answer: 4*s**3 + s**2 + s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 3. Let c(i) = 1. Let f(p) = -6*c(p) - o(p). Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) + -5 + sqrt(1088) + 4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.5 (c) 0.1 (d) -2876\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29100500 divided by -12100?\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.155 + -0.055. Let s = -50767664 - -50767667.09999948. Let q = s - g. What is q rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -7*c + 4*c - 16 = -2*q, 2*q - 5*c - 12 = 0. Suppose 8 = -9*x + q*x. Solve n = -3*d - 3, d - x*n + 1 = -y*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8273 is divided by 460?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12073 + -12069. Solve 0 = -3*m - 2*s + d, -10*m - 3*s + 17 = -11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 1041*c + 259640. What is u(414)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104097271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10588 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 2*m - 5*m + (1 - 2 - 1)*(2*m - 2 + 2))*(-2*m + m + 6 - 4).\nAnswer: 3*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a = 1170 + 1536. Let p be a\/(-451)*(89\/44 - 2). Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from tqyttxryt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)*1 - -10. Let n be (10\/(-4))\/((-5)\/10). Suppose 5*l - 60 = -0*f + n*f, -2*l = -3*f - 24. Is l <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -13*s**6\/30 - s**5\/60 + s**4\/12 + s**3\/6 - 4*s**2. Calculate the remainder when p(-1) is divided by 9 - -5 - -3*1\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10110, -9586, -8718, -7512, -5974, -4110, -1926?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6))**45 assuming u is positive.\nAnswer: u**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-204)\/(6 - 3). Suppose l = -2*x - 3*x + c, -5*x = -4*l + 164. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 + -172. Suppose n = -5*o - f + 351, 2*f = -0*o + 3*o - 208. What is the greatest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 704 = 5*l. What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**3 + 2*a**2 + a. Let y be 35\/14 + (-699)\/(-6). Let q = y - 120. Calculate j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 5*v**4\/24 + 11*v**3\/3 + 2*v**2 - 2*v. Calculate the remainder when 132 is divided by m(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q*q**(-4))**(-22) assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -4. Let y = n - -39. Let i = 20.8 - y. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = -2*n + 7, -5*z + n = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9754, 9813, 9912, 10051, 10230, 10449?\n\"Answer: 20*p**2 - p + 9735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144944 and 2400635.\nAnswer: 38410160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 212?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 19*p - 2. Let k(m) = -2*m**3 - 20*m - 3. Determine 2*k(c) - 3*l(c).\nAnswer: 5*c**3 + 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 11*x + 52 = 3*s, -31 = -4*s - x for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/4)\/(129\/344))\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (-5*(sqrt(68) - sqrt(68)*-2) - (-4 + -1*sqrt(68)))))**2.\nAnswer: -14112*sqrt(17) + 481572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15055700 divided by 110.\nAnswer: 136870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.6 - -1.6. Let n = -70.99939 - d. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -203 in 0.05, 14.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/1 - 2*-1. Let b = 20 - o. Does 11 divide (b\/3)\/((-6)\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23, 18, 1.6, -1\/4, -1\/6, 9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25441 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 107*p - 1986. Calculate the least common multiple of 111 and f(68).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba72 (base 16) to base 8\nAnswer: -135162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27291.968707 - -27292. What is n rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f, 2*m - 2*f = -2*m - 10. Let p = m - -1. Solve -n - n - 8 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 78. Let x = p + -6. Let n = x + -22. Let t(z) = 2*z**3 - 3*z**2 - 5*z. Let r(h) = h**3 - 2*h**2 - 3*h. Calculate n*t(c) + 5*r(c).\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 3 (b) -1.23 (c) 6\/7 (d) -677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3006 = 5*i, 0 = -3*i + 2*u + 1083 + 723. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*j**5 - 3*j + j**4 + 35*j**2 + 72*j**5 - 40*j**2 + (-2*j**5 - 3*j**2 + 3*j**2)*(2 + 1 - 4).\nAnswer: -5*j**5 + j**4 - 5*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12*b = -10*b - 892, 4481 = 5*p + 3*b. Let o = p + -833. Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1 - -4 - -2. Let f = 1 + c. Let d be 6\/2*3\/f. Let t(r) = -6*r + 1. Determine t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from guuucqcuuuugqgu?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p + 0 + 49*p - 38*p + 0.\nAnswer: -41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s**2. Let z(h) = 2699*h + 209. Give z(f(p)).\nAnswer: 51281*p**2 + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -2 (b) -0.05 (c) -75.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14 = -4*c, -3*c + 8*c + 4*q - 28 = 0. Suppose 185 = -o + c*p, p + 196 = 3*o + 795. Let w = o - -291. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21869955 and -67\/1350.\nAnswer: 656098650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 6*s**3 - 253 - 170*s**2 + 170*s**2.\nAnswer: -16*s**3 - 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, -810, -3?\nAnswer: -810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/5 + (-62)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 228 = 33*u. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/10*678\/9. Suppose 5*j = d + i, -j - j + 5*d = -36. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v + 607500 = 0. Let h be 160\/((-3)\/v*3). What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)\/r*r**(2\/3)*((r\/(r\/r**(-2\/3)))\/r)**0*(r\/((r*r\/(r*r**(-3))*r)\/r)*r**(4\/5))\/((r**1\/r)\/r**(-4)) assuming r is positive.\nAnswer: r**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 108*r**5 + 16272*r**4 + 469659*r**3 - 11318091*r**2 + 3733257*r - 310005 = 0.\nAnswer: -83, 1\/6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.17147265 to three dps.\nAnswer: 10.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -514 by 3924.\nAnswer: -257\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 24*x + 111. Determine o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 - 58*g**2 - 47*g - 3. Let i(t) = -29*t**3 - 346*t**2 - 283*t - 17. Let p(u) = -6*i(u) + 34*v(u). Factor p(x).\nAnswer: 4*x*(x + 1)*(x + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - y**3 - 16*y**2 + 17*y**2 + (-3*y + 3*y + 2*y)*(2*y**2 - 3*y**2 + 2*y**2) as l + b*y**3 + w*y + z*y**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 20 = w - 32, f + 58*w + 78 = 60*w + 63 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*j + 35, m + 13 + 9 = -4*j. What is the hundreds digit of -3 + ((-282)\/3)\/(m\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1094124 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202598232, 202598235, 202598240, 202598247?\n\"Answer: c**2 + 202598231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 36*y**2 + 3832*y + 5460 = 0.\nAnswer: -105, -13\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115872 and 222088.\nAnswer: 2665056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 2*p**2 - 2*p + 2. Determine u(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 3*x**3 - 19 - x**3 - 2*x + 13*x**2. Let v be w(-13). Solve 4*u = -5*s, -u - 11 = v*s - 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*p + 2*p + 3*o, -6 = -2*p - 4*o. Let r = -5 - p. Suppose r = 2*h - 34 - 10. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -637, -956, -1273, -1588?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 + (1 - 2) + 9 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137230*q**2 + 49210*q?\nAnswer: -274460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 267 = -363. Let z(c) = c**3 - 20*c**2 - 17*c - 16. What are the prime factors of z(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*u + 15, -r + 19*u - 15 = 24*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*x - 30 = 0, d = 3*x + 2*x + 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-39)*92\/(-64)*12.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637 or 48988\/77?\nAnswer: 48988\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from momomoomommm.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 - v + 3*v**3 - 5*v + 0*v - 2*v**2. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c**2 - 4*c + 2. Let x be t(2). Let g = -19 + x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 - 110 = 0. Let y = 31 - n. Suppose 0 = -5*h + h + y. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 41, -68, -177, -286?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*n**3 - 91*j**4*n - 3*j**2*n**2 + 18*j*n**3 - 2*n**2 wrt j.\nAnswer: -120*j**2*n**3 - 2184*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:52 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 56 = 11*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9840 is divided by 1620?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -210)*(-1)\/(-3). Let y be (2*4\/8)\/h. Let q = 69\/142 - y. Put q, 0, -3 in increasing order.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1083630 to the nearest 10000.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.341 + 62.3358. Let c = 10 - z. What is c rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*a - 79, -2*a - 5 = m - 31. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s + 156. Let b be x(17). Suppose -1030 = -2*h + 4*k, 0*h - 1540 = -b*h + k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -8 - 12. Let g = -2.1 - -2. Let u = 24 - 32. Sort g, u, w.\nAnswer: u, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5371 is divided by 134.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36101 + 0?\nAnswer: -36101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 592, 1955, 3476, 5161, 7016, 9047, 11260, 13661?\n\"Answer: l**3 + 73*l**2 + 1137*l - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -922392*q**3 + 2844473*q**2?\nAnswer: -5534352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-t + 3*t + 0*t) + (-75 + 75 - 12*t)*(-5 + 7 + 3).\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 51436.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -3\/19958456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-7)\/56)\/(210\/(-120))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170670, 341374, 512078?\nAnswer: 682782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k + 30 + 11*k + 0*k - 39*k - 13*k.\nAnswer: -84*k + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z + 5. Let a be b(0). Find the second derivative of -i + 7*i**5 - 14*i**5 + 4*i**a wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3\/4*y**2 - 42 + 27\/16*y**4 + 7\/4*y**3 + 0*y. Factor v(d).\nAnswer: 3*d*(d + 1)*(9*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*u + 1 - 13, -5*v + 6 = -3*u. Suppose -23*t - v = -24*t. Solve -2*b - t = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/6 + x**3\/2 + x**2 - 19*x. Let g(d) = -d**2 - 4*d. Let n be (3\/(-4))\/(1\/4). Let o be g(n). Give t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*v + v = -9, -2*o + 2*v = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 1. Suppose a - t = -0. Let i = a - 9. Solve 3*k = 4*n + 10, 0*k + k = i*n + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -22 - (-3 + 7 + 17 + -26).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 24 = -7*w - 4*c, w - 4*c = 0. Solve -3 = -5*r + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/30 + t**4\/6 + 3*t**3\/2 + t**2. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-38)\/798)\/(15\/70). Sort 2297, 1, h.\nAnswer: h, 1, 2297","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 159740898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*x. Let z = -241.5 - -241. Which is the closest to -2? (a) z (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431\/24 - 5\/24. Calculate the common denominator of 476\/(-24) - (-11)\/2 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvw when three letters picked without replacement from {s: 2, w: 1, v: 1, n: 5, g: 5, a: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6169 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3273.96 grams to nanograms.\nAnswer: 3273960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 19*q**2 - 2*q. Let n(r) = 705*r**2 - 75*r. Let v(j) = -2*n(j) + 75*y(j). Let c(h) = 16*h. Calculate c(v(u)).\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 2*r**4 + 164*r**3 + 0*r**4 - 2*r - 161*r**3 - 10 as n*r**4 + d*r**2 + j + f*r**3 + v*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u + 750*u**2 - 750*u**2 + 82*u**3.\nAnswer: 82*u**3 - 43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8686462 is divided by 390.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 176 + 61 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 10, -21, -4, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 953*k - 194. Suppose u - 25 = -y - 3*y, 0 = -u - 5*y + 30. Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 1 + sqrt(28) - (1 + -5 + sqrt(7)*-3 + -4).\nAnswer: 11 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16075 (base 10) to base 16\nAnswer: -3ecb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:47 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*j = 10, 4*s - 16 = 5*j + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 + 3. Let i be l(-3). Sort 0, 4, i.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-42))\/7*1710\/(-20).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(40))\/(sqrt(8)\/sqrt(36)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014810588 a multiple of 2298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) - (2 + sqrt(1331))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158565615?\nAnswer: 5, 1657, 260539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-9) - 6\/126*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = 3. Suppose -5*o = -3*o - 5*f - 23, o = 3*f + 14. Let j = o - -3. Solve 5*r - 28 = -2*g, x*r = g - j*r + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**5 - 203337*d**3 - 7226262*d**2?\nAnswer: -240*d**2 - 1220022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*u - 2164 = 0, 4*h - 2917 = -u - 0*u. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -0.03 (c) 4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*v - 137 = 328, -25 = 5*v. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 = 31, 2*w = -a + 82. Calculate the highest common factor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12976 - 12967. Which is the closest to -1? (a) -5 (b) -2\/31 (c) h (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 71*o + 7. What is b(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 385, 394, 417, 460, 529?\n\"Answer: p**3 + p**2 - p + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 944 - 2?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/12 - -2)\/(9\/(-48)). Let o(i) = 17*i + 2. Let r(s) = 52*s + 5. Give q*o(b) + 3*r(b).\nAnswer: 20*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 788035282 to the nearest integer?\nAnswer: 28072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose -t*l = 0, -4*s - l = 4*l - 16. Suppose -s*p - 91 = -4*i - i, 0 = -4*i + 2*p + 68. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a + 3. Suppose -z + 2*z = -3. Let l be o(z). What is the remainder when 26 is divided by 5*-2*l\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 1335. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19258669*w - 12677102 wrt w?\nAnswer: -19258669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x**3 - 45*x**2 + 50*x - 30. Let n(f) = -5*f**3 + 15*f**2 - 17*f + 10. Let t(y) = -4*h(y) - 11*n(y). Let d = 92 - 78. Does 7 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3382, 6287, 9178, 12049, 14894?\n\"Answer: -d**3 - d**2 + 2915*d + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) - (sqrt(171) - -2*sqrt(171)) - sqrt(171)))\/(sqrt(63)\/(sqrt(7) - -2*sqrt(7))) + 0.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1216*v + 1177 with respect to v.\nAnswer: 1216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose 3*w + v = 11. Suppose 0*g - 5 = 2*q - w*g, q + g - 10 = 0. Solve 0 = -2*k - 3 + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 3*h**2 + h + 4*h - h**2 - 4*h + (h - h + 2*h**2)*(-4 - 2 + 4) + h**2 - h**2 + h**2 - 3727*h + 3727*h + 57*h**2.\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, 39, 2 in increasing order.\nAnswer: 2, 5, 28, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 49*d**2 - d - 51. Let u be w(-49). Let s(f) = -f**2. Let q(a) = 2*a**3 - 2*a**2 + a + 4. Give u*s(b) + q(b).\nAnswer: 2*b**3 + b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29208a + -1?\nAnswer: -29208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/2335290 and 1\/155686.\nAnswer: 2335290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobooooboobbboo. Give prob of picking 2 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 13*r. Suppose r = 12*a - 11*a - 83. Calculate the remainder when a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -n + 3*b, 3*b + 52 = -n - b. Let d = n + 46. What is i in 2\/5*i**3 + 4\/5*i + 0 - 6\/5*i**d = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(567))**2 + -2 + sqrt(7) + -3 + (sqrt(112)\/sqrt(4) + sqrt(28) - (sqrt(7) + sqrt(7) + sqrt(567) + -5 - sqrt(7))**2).\nAnswer: 105*sqrt(7) + 8342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b2 (base 16) to base 5.\nAnswer: 403403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 695. What is the greatest common divisor of y and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxvvvisixi. What is prob of picking 1 w and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/6 + 5*u**2\/6 + u\/3 - 4\/3 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -78, 2, -7, -2 in decreasing order.\nAnswer: 2, 1, -2, -7, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 9) to base 3.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) - (sqrt(121) - 2*sqrt(121))*-3))\/(sqrt(704)*-3).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n. Let m = 3 - 3. Is n equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 733400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/26 and -121\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/22135064 and -79\/3136.\nAnswer: 177080512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*p**3 + 5*p**4 - 114835*p**2 + 115735*p**2 - 98*p**3.\nAnswer: 5*p**2*(p - 18)*(p - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*h - 7 - 52, 0 = 4*h - 4*t - 32. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*t + 23, -t + 1 = 2*x - 2. Suppose x*y = 53 + 3. What is the greatest common divisor of 98 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 176 = 7*b. Let l be b\/(-33)*(0 + -3). List the prime factors of l\/(81\/(-20) + 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1869\/4 - -3279\/7. Find the common denominator of 25\/76 and b.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-4 - (-2 + -5)) - 0. Suppose 277*b + x = 274*b. Is -1 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-1)\/2. Let s = 211\/4 - 53. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 33*s + 216. Let b(o) = o**2 - 7*o - 53. Let y(q) = -9*b(q) - 2*m(q). Determine y(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 140392.\nAnswer: 42117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4752))\/(sqrt(33)\/sqrt(3)*-4) + (2*sqrt(6)*-4 - sqrt(6))\/((sqrt(42)\/sqrt(3))\/sqrt(7)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 33. Let q(f) = 91*f**2 - 3*f + 1 - 90*f**2 - f**g - 2*f + 6*f. Determine q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 261.\nAnswer: 261.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 - 3 = 0. Suppose 0 = -4*r - t + 16, 30 = 5*r + 2*t + g. Solve i = l - 4, r - 7 = -2*l - 2*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 642\/15 + (-3)\/(-15). Suppose 0 = -4*a - 3 + m. Solve -z - a = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225 - 4254?\nAnswer: -4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2 + (-9)\/18). Sort -3, 11, j in decreasing order.\nAnswer: 11, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -16. Let c(z) = z**2 - 5*z - 2. Let v be c(o). Suppose 9 = -i - 3*m, -3*i + 2*m + v = -i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*s = -22, 3*u - 5*s + 5 = -0. Find the second derivative of 24*r - 5*r**5 + 10*r + 45*r**5 - u*r**5 wrt r.\nAnswer: 700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 4:51 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2 + 3*l. Let b be (6\/(-12))\/(1\/4). List the prime factors of g(b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 16) to base 3.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5433.31 + -5435. What is the second biggest value in 3, 3\/2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-1\/4))*t**(-14))\/(t**22\/t**(-11)) assuming t is positive.\nAnswer: t**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-16)\/7)\/(207\/138)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(0 + 3 - 5) + 1708 + 233 - 262)*(d**2 + d + d + 0*d).\nAnswer: 1683*d**2 + 3366*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 777985 and 5?\nAnswer: 777985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/12*-12)\/((-252)\/(-24)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(751\/(-24783))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90840425561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1556 - 1553. Solve c*m = -24*s + 23*s - 17, -14 = -3*s + 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(36) + -3*sqrt(36)*-1)\/sqrt(12)*6.\nAnswer: -288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*j - 790*j - 60639 = -86*j + 428*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y**2 + 70*y**2 + 11*y**2 + 2*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2021785424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68193217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -10, 2 in decreasing order.\nAnswer: 3, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 10) to base 11.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*n = -1429, -n + 471 = l + n. Suppose 0 = f - 5*f + 12. Is l - (-4 + f - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - 52*k**2 + 435*k - 1192. What is u(13)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1021*c**3 - 19*c**2 + 1492*c + 8. Let y(v) = 340*v**3 + 7*v**2 - 497*v - 3. Let r(p) = 3*h(p) + 8*y(p). Find the second derivative of r(o) wrt o.\nAnswer: -2058*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 50*q**2 + 4*q + 5. Let k be b(-2). Determine c, given that -197 + 2*c**2 - 2*c + k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189 and -0.1.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3288598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3 - 3)*(86*l**2 + 983 - 983).\nAnswer: -172*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d - 2. Let c be s(4). Let k = -2431 + 2507. Let v = k - c. What is the remainder when v is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 124 + 405b?\nAnswer: 4182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*g - 29, -2*l + 0*l - 16 = g. Let f be (l - -1)\/((-3)\/2). Find the third derivative of 2 + 4 - 6 - 2*p**2 - 8*p**f wrt p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 60615*v + 303200.\nAnswer: -5*(v - 12128)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104033.3um in millimeters?\nAnswer: 104.0333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 4\/3*x**3 - 6*x**2 + 0*x + 9. Factor i(w).\nAnswer: 4*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -7*f**3\/6 - 2*f - 12. Let l(b) be the first derivative of n(b). Let i(v) = 3*v**2. Calculate i(l(d)).\nAnswer: 147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 3\/2*w**2 - 4\/3*w**3 + 0 + 1\/12*w**4 + w. List the prime factors of k(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 51 = 131. Let g(s) = s**3 + 7*s**2 + 6*s. Let a be g(-5). Calculate the greatest common divisor of z and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*a = -422*a. Let m be 2\/(-1)*4\/296. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/34 + -1 + -1. Let f be 2\/3 + 28\/(-6). Let o = f + 5. Sort b, o, 4 in descending order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 take away 0.10823?\nAnswer: -3.60823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00202253 to 5 decimal places.\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124190 and 11?\nAnswer: 124190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 393 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = h, 17710 = o + 2*h. Suppose -2*m - 4*v + 19530 = -15862, -4*v = -m + o. Let q = -9185 + m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*f**3 - 53*f**3 - 55*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -2266?\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c. Let n(s) = 4*s. Let i(g) = 2*m(g) - 7*n(g). Suppose 6*f + 899 = -721. Let v be 2\/6 + f\/81. What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = 5*h, 4*h = 4*k - k - 24. Let d be 48\/k*5\/1. Suppose 0 = 4*s - 4, -3*s = v - d - 58. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2\/p)\/p*p)\/(p**(-2\/23)\/p))**(-38) assuming p is positive.\nAnswer: p**(-1824\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1793.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -167?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -25, -48, -73, -100, -129, -160?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5.63 times 0.1\nAnswer: 0.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8471831 to the nearest integer?\nAnswer: 2911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5791 is divided by 446.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 9. Let l(u) = 2*u + 9. Let o(t) = -4*l(t) + 3*s(t). Let d be o(-7). Suppose 0*j + 46 = a - d*j, -3*j = 6. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/3 + 14*q**3\/3 + 3*q**2\/2 + 29*q. Let r be c(-7). Solve 0 = -2*u - r + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) + (sqrt(57)\/(-1*sqrt(3)) - sqrt(19)) + (sqrt(209) + -2*sqrt(209))\/sqrt(11) + sqrt(19))**2*-3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8257210087?\nAnswer: 7, 47, 701, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*h - 55*h + 45*h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -17 - 5) + (1 - -12) + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3867 = -2*f - 27970, 24112 = v + f. What are the prime factors of v?\nAnswer: 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 2:09 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 - 25*k - 8. Let w(t) = t**3 - 20*t**2 - 22*t + 30. Let v be w(21). Let d be f(v). Solve d = 2*r + 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3544943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 12. Let k be (294\/(-637))\/(4\/(-26)). Calculate b(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 627 - 122042?\nAnswer: -121516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1300*v - 2525*v + 1513*v)*(v**3 - 7*v**3 + 7*v**3 + 1) in the form i*v**4 + p*v**3 + t*v + g + j*v**2 and give t.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1895640?\nAnswer: 2, 3, 5, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 180661113 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 - 369 + 1492 - 373 - 379 - 57*h.\nAnswer: -57*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -u + 19, -4*w + 61 = 2*u - 3*u. Suppose i = w + 2. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5721, 10942, 16161, 21378, 26593?\nAnswer: 31806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -53. Find the third derivative of -5*c**4 + 48*c**2 - 30*c**2 + 0*c**u wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*x + 3*x**3 + x**3 - 5*x**2 - 9*x**3 + 5 + 40.\nAnswer: -5*(x - 3)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/2 in -2\/5, -60, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 - 4*n - 20. What is p(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 11) to base 8\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-3)\/(-12)) - 2. Suppose -3*j = u*p - 123, 103 = 2*p + 2*j - 3*j. Suppose -2*z + 20 = -8. What is the remainder when p is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r**2 + r**2 - 3*r**5 + 3 + 6*r**3 + r**4 + 2*r**4 - 2*r - r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*h - 18, 245*h - 246*h - 14 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 10. Let h = 0.2564 - -0.0436. Sort a, h, 4, -2.\nAnswer: a, -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5300 - 2817. List the prime factors of w.\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 4 - (5 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5786 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + -16 + 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*-2*18. Let g be (32\/6)\/(4\/o). Does 16 divide (g\/(-7))\/((-30)\/(-140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 12:57 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-38)\/4*59?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*n + 20, 0 = -3*x - 4*n + 121 - 106. Let t be 1 - 5 - (5 - 14). Solve t*b - 2*v + 24 = -7, -4*b - x*v - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/8 + 2889*b\/8 - 723\/2.\nAnswer: 3*(b - 1)*(b + 964)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:54 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7\/740?\nAnswer: 7\/740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 2, e: 1, q: 1, c: 1, n: 1}. Give prob of sequence zz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -78*b - 12. Let v(x) = -623*x - 98. What is 6*v(d) - 49*z(d)?\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 - 4749340?\nAnswer: -4749493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*i**5 + 55*i**3 - 352*i.\nAnswer: -180*i**3 + 330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**6 + 36940913*z**5 - 3441197*z**2 + 11.\nAnswer: -120*z**3 + 2216454780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012120111012022 - -11?\nAnswer: -1012120111012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 522.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 0.2 (d) 4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 121\/1168?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 279\/465*-7*8\/252?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 + 18*m**2 - 43*m + 22. Is n(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 97123790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021457 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 453573996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i**(3\/16))\/i**(2\/41))\/(i\/(i**(-9)\/i*i)*i*i*i**(-11\/5)*i))**(-11) assuming i is positive.\nAnswer: i**(276419\/3280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 71 = -121. Let y be (w\/(-10))\/((-10)\/(-125)). Let h = y - -109. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(-7594)\/330339.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-15))\/(56\/2058). Let u = -17\/20 + k. Calculate the common denominator of u and (-1)\/4 - 66\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(891) + 1)*3.\nAnswer: 72 + 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1 + (3 - 5 + 4)*(-1 + 1 + 1))*(-16*z + 22*z - 14*z) + (0 + 4 - 6)*(0*z + z - 2*z) in the form k + c*z and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1418, 11336, 38242, 90626, 176978?\nAnswer: 305788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -580*n - 2321. Determine a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1266 + -45.0416. Let l = -0.085 + g. Which is the closest to l? (a) -3\/5 (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 5. Suppose 3*w + 9 = 5*a, -a + 3*w - 9 = -2*a. Suppose 2*q + a*q + 25 = 0. Let o be u(q). Put -2, o, 0 in ascending order.\nAnswer: o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3740 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 + 3\/2*g**3 + 39*g**2 + 288*g = 0. Calculate g.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -2*y**2 + 0*y**4 + 0 + 0*y**3 + 0*y + 1\/30*y**5. Let b(x) = 1 - 1 + 0 + 15*x. Give s(b(j)).\nAnswer: 450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:18 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120430 - -12?\nAnswer: 120442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 5*j + 48 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = -15*l + 99. Solve 4*n - 4*t = -12, 0 = 3*n + l*t - 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -459 + 674. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 4. Let f(a) = 8*a. Let z(i) = -18*i. Let h(u) = 11*f(u) + 5*z(u). Calculate h(s(j)).\nAnswer: -16*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7852004 is divided by 88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4699 - -11901. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 2, p: 3, d: 5, z: 5}. Give prob of sequence brp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 2*y + 379 + 505 - 14 = 0 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 29.8 (b) 0.4 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/7*-1*7. Solve -4*l = -5*a + a + k, 3*a - 2*l = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 13 (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4, -m + 5*c = 4*m. Suppose -3 = s - 2*s. What is the third derivative of 19*w**m - 3*w**3 + s*w**3 - 40*w**4 + 27*w**4 wrt w?\nAnswer: -312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.461 + -933052?\nAnswer: -932479.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k - 22. Suppose 8*d = 4*d + 100. Calculate the remainder when c(-18) is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/11 - 32850*v\/11 + 2680252\/11 = 0.\nAnswer: 82, 16343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*f - 312*f + 151*f)*(f - f + 2*f) + f + 0*f - f - 6*f**2.\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 - 185.0000016. What is y rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 0*a + a + 6*a. Let v(o) be the second derivative of -o**4\/2 + 23*o. Determine v(m(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -52. Let p(b) = 12*b - 2. Let k be p(2). Suppose -c + 4*f - 3 - 2 = 0, 4*c - k = -l*f. Solve -5*y - q + 17 = -12, c*q = -2*y + 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354.71212s in days?\nAnswer: 0.0272536125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/4 - 32*u. Let x(q) = 4*q**2. Determine t(x(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*l**2*w - 890*f*l**2 - 2*f*l*w - 3*f*l + 2849*f*w + 2*l**2 with respect to w.\nAnswer: 3*f*l**2 - 2*f*l + 2849*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(13\/(-117)) - -19. Suppose -g*j = -24*j + 1008. Suppose -125*c = -j*c + 2179. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 17, -5, -0.2?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.6886 - -1464.\nAnswer: 1443.3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v - 7. Let k be x(-6). Let l = 6 - 2. Let y = l + -1. Put 4, y, k in descending order.\nAnswer: 4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - 4 + 9 - 5 - 1 - 8*v**3 to the form s*v + q*v**3 + m*v**2 + j*v**4 + d and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28126 - -28119. Let b be (-4)\/(-14) + (-5)\/(-7). Put b, 3, -2, f in descending order.\nAnswer: 3, b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-90)*6\/4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 - 1\/200*i**5 + 1\/240*i**4 - i + 1\/30*i**3 + 53*i**2. Solve z(h) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4853520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -76)\/32*(-3 - -10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 0*g + 2*l, -3*g = 4*l - 6. Solve -g*y + 8 = 4*b + 2*y, b + 23 = 4*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3 + 10060315*y**2 - 60361750*y + 80482280 = 0.\nAnswer: 2, 4, 2012057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/6 + 1066*l**4 - 2134579*l**3\/6 + 1410266*l**2 - 4218014*l\/3 = 0. Calculate l.\nAnswer: 0, 2, 349, 6043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -196663571785.7 + 0.027?\nAnswer: -196663571785.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341446 and 1218?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o = 30. Suppose d - 1 - o = 0. Let k(i) = -i + 1. Determine k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {n: 3, u: 10, m: 1, c: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, k: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29426, -29430, -29436, -29444?\n\"Answer: -c**2 - c - 29424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(1\/(-4)). Which is the nearest to 0? (a) v (b) -0.7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.3. Let r = 0.0454 - 62.1454. Let t = r - -62. Is t less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 13 + 10 + q**2 - 1 to c*q**2 + k + p*q and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*l = 7513 + 5781 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/5)*5. Let b = 59 - x. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1333067725 to 4 dps.\nAnswer: 0.1333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 + 5 = 0. Suppose 10*n + 23 = 2*s + k*n, 71 = 5*s + n. Suppose -28*f**3 + 4*f - 23 + s + 9 + 16*f**4 + 8*f**2 = 0. Calculate f.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8) - -3)*(-40)\/12*-3. Put 0, -5, -2, l, -7 in descending order.\nAnswer: l, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 824, 1263, 2542, 5081, 9300, 15619, 24458, 36237?\n\"Answer: 70*d**3 - 51*d + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-7 - -1) + 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -527 - -527.5. What is the smallest value in 0.4, -7\/29, 0, i?\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*r + 446 = -769 - 1281 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9.801 * 977\nAnswer: -9575.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose -4*f + 2*j = 2, -b*f - j + 14 = j. Let o be (-2)\/(3 - 1)*0. Solve -l - f*l = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 766, 1821, 3168, 4807, 6738?\n\"Answer: 146*y**2 + 617*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025586949 rounded to five dps?\nAnswer: 0.02559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5026610*c**2*p - 1591870*c - 2*p wrt c?\nAnswer: 10053220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7904647.\nAnswer: 43, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 15*j**3 + 21*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*u**2\/3 - 6468126*u + 640356948243.\nAnswer: (7*u - 1386027)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let p = 0.53 + 0.47. Let j = 5.06 + -0.06. What is the nearest to p in j, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen ninths of a week in minutes?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 - 2 - 5*n - 3*n - 5*n**3 + 13*n**3 in the form g*n + m*n**2 + j + p*n**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79177*m**3 - 38382*m**3 - 40791*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-116)\/(-8))\/(4\/(-16)). Let f = n - -301. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/269, -3\/4, 4, -3, 8 in descending order.\nAnswer: 8, 4, 1\/269, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 14 = -2*s. Let p = -17 - s. Let l be 15*p\/(-72) - 1\/3. Which is smaller: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -468\/29 - -18749\/1160. Let o(r) be the third derivative of 9\/100*r**5 + 1\/5*r**3 + 0*r + x*r**6 + 0 + 1\/350*r**7 + 13*r**2 + 7\/40*r**4. Factor o(n).\nAnswer: 3*(n + 1)**3*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - -2 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 36*t**2 - 60*t - 100 = 0 for t.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20317*l - 121911. What is u(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22493 and 14442.7474?\nAnswer: 36935.7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 3*w**2 - w**2)*(4*w**2 + 3 - 3) - 1 + 5*w**4 + 1 + 4*w**4 - 2*w**4 + 0*w**4 + (3*w + 2*w - 7*w)*(2*w**3 - 2*w**3 - 2*w**3) + 0*w + 0*w + 2*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*x. Suppose -3*h = -x*r - 9, 2*r - 7*r = 5*h - 15. Solve -g + 3*g - 8 = r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 4. Let k(w) be the first derivative of -11*w + 1 - 3\/2*w**2. Calculate 3*k(a) + 8*o(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -95 + 49 + m + 44. Let x be t(6). Solve p - 5*p = 2*o + x, -p = 3*o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 710531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -92?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:03 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 1*(-37154)\/1768\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, 3, -4, -11, 40, 0 in ascending order.\nAnswer: -162, -11, -4, 0, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 31 = 3*l, -l + 5*p - 17 = 12 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 401202 (base 7) to base 2\nAnswer: 10000100001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/8 (c) -2\/41 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.42\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16714341 by -341109.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -463*j + 153*j + 150*j - j**2 - 6 + 155*j. Let q(w) = w**3 + w**2 - 3. Let f be q(0). What is p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2848673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -217*v + 58. Let d(k) = -216*k + 57. Let h(n) = 4*d(n) - 5*u(n). Let c be (-11)\/((-1 + -1)\/2). Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*v - 170 + 47*v + 51 + (0 - 2 + 0)*(0*v - 4*v + 2*v).\nAnswer: 3*v - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1845, -4568, -8129, -12528, -17765, -23840?\n\"Answer: -419*f**2 - 1466*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 233*f**2 + 964*f - 3795. What is x(237)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260097564 divided by 372.\nAnswer: -699187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 324\/5 (b) -19\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003231654 to five dps.\nAnswer: 0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)\/(y*y*y**(2\/29)) assuming y is positive.\nAnswer: y**(-611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54707 from -3821.\nAnswer: 50886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1771151244 and 17.\nAnswer: 16.8228848756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7578 bigger than 189436\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 87641.68 centuries?\nAnswer: 8764.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28081 divided by -236?\nAnswer: 28081\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/320437 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -20. Let u be -3*((-16)\/y)\/(-4). Let k = 9 + -7. Are k and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 600. Suppose -10*p + 8*p = z. Let d = p + 62. Solve -c + 3 = -d*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222111 - 11?\nAnswer: -10222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0567191 to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v + 14*v**5 + 0*v**4 + 0*v**2 + 92 - 125\/3*v**3. Find the third derivative of q(o) wrt o.\nAnswer: 1680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322927 + -322923. Let 3*j**5 - 27\/4*j**3 - 3\/2*j**2 + 0*j + 0 - 9\/4*j**i = 0. Calculate j.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 9*h. Solve 3*n - n - 8 = -4*t, h = 5*t + 2*n - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 6*r. Is (r + -253)*(-4 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -410 - -410. Factor 0*g + 0 - 3\/4*g**5 + q*g**3 - 9\/4*g**4 + 3*g**2.\nAnswer: -3*g**2*(g - 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*z + 520, -3*z = c - 298 + 36. Calculate the remainder when c is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00466439444 to 4 decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67441818.\nAnswer: 2, 3, 547, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(320) + -5*(sqrt(320) + (sqrt(320)*4 - sqrt(320))))\/(((sqrt(360) + (sqrt(360)*3 - sqrt(360)) + sqrt(360) - sqrt(360)) + sqrt(360))*-1).\nAnswer: 19*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/5 (c) -0.03611 (d) 3 (e) -0.67 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0*p**4 + 0 + 0*p - 1\/210*p**5 + 1\/21*p**3 - 6*p**2. Find g, given that r(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 - 1179*y**3 - 4315*y**2 + 31642*y - 1096?\nAnswer: -24*y**2 - 7074*y - 8630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11439.948 + -11465. Let a = 0.052 + n. Let y = 29.7 + a. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3 + 3. Let q(t) = -12*t + 18. Let c(y) = 7*y - 8. Let o(v) = -9*c(v) - 4*q(v). Give i(o(s)).\nAnswer: -225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -3 - 81\/(-18). Let u be 0 + -1 - (12 - 10). Let r = 11.9 - 12. Which is the closest to 1\/3? (a) u (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/7 - 115*t**3 - 209287*t**2\/7 - 17729283*t\/7 = 0?\nAnswer: -363, -221, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 1 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -0.5, 5, 1970.19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 232, -2, 72, -1104.\nAnswer: -1104, -5, -2, 1, 3, 72, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 7 = -5*c + d, 4*d = -c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6799*r + 6358*r + 523*r + 2156*r - 1312*r.\nAnswer: 14524*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-20)*(-193615)\/(-75). Let a = -3878 - g. Let r = 42934\/11739 - -37\/1118. Find the common denominator of r and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 + 660. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42334872 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j + 4. Let v be (0 - -2 - 1) + -2. Let b = v + -2. What is the third biggest value in b, 5, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0 - (10 + -3). Let l(w) be the second derivative of -w**4\/4 - 8*w**3\/3 - 2*w**2 + w + 54. Let g be l(v). Sort g, 0.5, 2\/9.\nAnswer: 2\/9, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324795421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 54200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 651336.4 - 442710?\nAnswer: 208626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/52709941 or 1?\nAnswer: -8\/52709941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(128))**2 + 3 + (sqrt(2) + -1*(sqrt(2) + sqrt(72)))**2.\nAnswer: 32*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311086*a*v**2 + a*v + 32*a - 23*v**3 + 2547485*v wrt v.\nAnswer: -622172*a - 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a - 10. Let t be 7290\/(-35) + (-6)\/126*-6. What is the units digit of 35\/14*t\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 - (-3)\/(-6). Which is the closest to t? (a) -5 (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426709 divided by -4?\nAnswer: 1426709\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17109342 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(9\/1944*6). Let v(s) = -s**3 - 6*s**2 + 8*s + 11. Let f be v(-7). Solve f*g + 3*t = w, 4*g = -t + 2 + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 961576.\nAnswer: 5769456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxxx when four letters picked without replacement from wwwwxwxwwwwwwxww.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from zzzzgzzzzzzzgzzzzgzz.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - 3*a + 1. Let z be s(2). Let u(v) = -v + 6. Let d be u(z). What is the remainder when 86 is divided by (87\/(2 - 5))\/d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -1066, -2354, -4158?\nAnswer: -6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/20)\/13 - (-156)\/40. Solve q = -4*k - 4*a, -4*a + 59 - 62 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3483*c**3 + 149*c**3 - 376*c**3 + 8*c**2 - 8*c**2.\nAnswer: -3710*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 9. Let m be n(-7). Suppose m*y + 6*h = 3*h - 6, -5*y = 5*h + 15. Let k(u) = 2*u**3 + 2. Let i(p) = 2*p**3 + 3. What is y*k(f) + 2*i(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1521692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 2*u + 86, 3 = -u. Let x = o + 74. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/(v*(v**22\/v)\/v))\/(v\/v**13)**14 assuming v is positive.\nAnswer: v**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, 0.4, -0.2, -2.376.\nAnswer: -2.376, -0.2, 0, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.4, 66?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(-10*3\/36).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66781\/17 + -868498\/51. Let n = 21405 + u. Let a = n + -441. Find the common denominator of a and -28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 105, -0.1, 2.4, 286\/19 in decreasing order.\nAnswer: 105, 286\/19, 2.4, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - 2030*i**2 - 15 + 0*i**3 + 1011*i**2 + 1016*i**2 as h*i**2 + q + v*i + c*i**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + 52?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1012*v + 29. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2953553 minutes?\nAnswer: 17.721318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130 - 2) + 1 + (-1147 + 1191 - (38 + -1)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171400?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 16*d - 93. Let n(g) = -4*g + 31. Calculate n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 130. Solve -2*t + 3*t = h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, a: 2, s: 9}. What is prob of sequence xaxx?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:17 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/9 + 35*j**2\/9 - 250*j\/9 = 0. What is j?\nAnswer: 0, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 3*n**5\/10 + 15*n**4\/2 - n**3\/2 - 15*n**2 - 4616. Determine k so that l(k) = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 11*l**2 + 4. Let z be d(-11). Suppose 4*t - 8 = -2*q, z*t = -0*t - 8. Is 96\/(-8)*(-14)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 100*n - 2020. Calculate s(-72).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 90508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.9. What is the third smallest value in 9, -4, g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.61 - -14.21. Let z = -148 - -147. What is the closest to z in -2\/7, -97, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -13*b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and 5440.\nAnswer: 5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.7. Let r = 1 - -3. Let p = 407.92 + -407.72. What is the nearest to x in p, r, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.4 and 0.121?\nAnswer: 1.9844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*h**2 + 5*h**5 + 8*h**5 - 61*h**2 wrt h.\nAnswer: 780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 - -0.8. What is the third smallest value in f, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*o = 3*g - 3, 0 = -4*g - o + 1. Solve g*p + 27 = -9*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 171?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 - 9. Give i(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i - 2*o + 29, 0 = 3*o - 15. Suppose t - 6 = -3*y + 2*y, -i = -4*y - 3*t. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 29950030?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (13 - (-15 - -28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2527223401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3071*d**2 + 173*d + 2 wrt d.\nAnswer: -6142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 26, 0.4 in increasing order.\nAnswer: 0.4, 1.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/2))*c*c\/c**(1\/3))\/(((c**(-1)\/c*c)\/c)\/(c*c**(-1\/5))) assuming c is positive.\nAnswer: c**(119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33877 + 65237\/2. Let n = 1285 + s. Find the common denominator of -35\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 15 - 13 + 3 - 8.\nAnswer: -8*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 206960457 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {y: 5, d: 2, w: 2, v: 4, m: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 6. Let o be l(6). Let i(c) = -c + 0*c + o*c + 2*c. Let g(u) be the second derivative of -u**3\/3 - u**2 - u - 88. Calculate -g(k) - 4*i(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 5:29 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5021.1609985 + -5216.160997985. Let n = m - -195. Round n to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1. Let c(d) = -14*d - 9. Let m(p) = 5*p + 3. Let i(y) = -4*c(y) - 11*m(y). Let x be i(0). Sort x, -3, k.\nAnswer: -3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.88 + -0.12. Let o = 6.7 + f. Let y = -1.3 - o. Which is the third smallest value? (a) -4 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17858 = 7*t - 29511. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503 + -2735823.\nAnswer: -2735320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 3. Let b = -16 - -16. Give x(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:29 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:07 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 667030 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)\/((f\/f**(-22))\/f) assuming f is positive.\nAnswer: f**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + 1. Let j(s) = 22*s**2 - 45*s - 20. Let l(h) = 13*h**2 - 27*h - 12. Let k(y) = 3*j(y) - 5*l(y). Determine r(k(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 2142.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a + 23*a + 12*a - 20*a - 2.\nAnswer: 37*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1323 + -0.0677. Which is the nearest to -0.29? (a) -0.1 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*3*-2)\/sqrt(2).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4660101 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.93 + 1.07. Put 0.5, -22, n, 0.3 in descending order.\nAnswer: n, 0.5, 0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/113, -155, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2*k**4 - 1882*k + 5 + 1881*k + 20*k**2 + 0).\nAnswer: 4*k**4 - 40*k**2 + 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31416 divided by -5236?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -3*(0 + 1). Let r = -2 - -6. Solve 5*i - 12 + r = g, l = -3*i + g + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -0.36895?\nAnswer: -0.66895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3999976 + -1.4. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, 3, 2\/7, -0.3, -164 in ascending order.\nAnswer: -164, -24, -0.3, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u*u\/u**6*((u**(-1\/2)*u)\/u)\/u*u**(-1\/4) assuming u is positive.\nAnswer: u**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*s - 9*j - 26, -5*s + 4*j + 39 = 0. Let t(h) = 7*h**2 - 7*h + 1. Let r(z) = 10*z**2 - 10*z + 1. Give s*t(n) - 5*r(n).\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 176.7 (b) -3 (c) 6 (d) -0.03 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44753 is divided by 8948.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i)*(-87910*i + 39326*i + 44003*i).\nAnswer: -4581*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -96*y. Let z be x(-2). Suppose 0 = 4*v - 4*c - 144, 3*c + z = 5*v + c. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 2}. What is prob of sequence jwj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35888 times 0.01?\nAnswer: 0.0035888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 1, s: 1, r: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*1 - -5. Suppose v*i + b = 89, -i - 2*b + 17 = -0*i. Let h = -16 + i. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 + 10*b + 7. Let j be o(6). Let p be (-5 - j)*(5 - 4). Are p and 2\/79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n = 5126010 - 921802, -2*n - 5605592 = -4*o. Suppose -38*p + 12*p = o. Round p to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39535.03 plus -0.072?\nAnswer: 39534.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 9*p**3 + 2*p**2 + 14 + 3*p**3 - 3*p**3 + 15 in the form o*p**2 + w*p + t + b*p**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-32)*2)\/((-1)\/1335956*6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from popoopo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95993 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3 + 154*v**2 - 3822*v + 30870 = 0?\nAnswer: 21, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(1100)) + 1*(sqrt(1100) + -1) + 1*(1*sqrt(1584) - sqrt(1584) - -5*(sqrt(11) + -2)))**2.\nAnswer: -2080*sqrt(11) + 46731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 - (-7)\/7. Suppose 3*r = -l*r. Factor 0*i**2 + r*i + 0 - 2\/7*i**4 + 4\/7*i**3.\nAnswer: -2*i**3*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7366, -18036, -28706?\n\"Answer: -10670*j + 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*d + 5*z, -d - 3*z + 18 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*j - 286 + 959 - 97 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 2. Let o be v(6). Let k(f) = 2*f**2 - 1 + 2*f - f**3 - 5*f**2 + 2 + 0*f. Let w be k(o). Round w to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12642 and -102569.651.\nAnswer: -89927.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -52, 32, 192, 452, 836, 1368, 2072?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/12234 and -47\/288?\nAnswer: 587232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/((-160425)\/51336)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:28 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 60957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 359348?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -c + 3*i + 1, -3 = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 6518*j - 13035*j + 6517*j + j**2 + 238 as f*j + x*j**3 + i + g*j**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 2*t**2 + 7*t + 11. Let v(o) = -o**2 + o - 2. Determine 4*v(n) + x(n).\nAnswer: 2*n**3 - 2*n**2 + 11*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.4532 times -0.5\nAnswer: 0.7266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5398 (base 16) in base 2?\nAnswer: -101001110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5997*a - 5994*a + 3*f = 6, -6 = -3*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l**3*n*v - 460*l**3*n + 6*l**3*v - 2*l**2*n - v wrt v.\nAnswer: 6*l**3*n + 6*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*f - 12 = 0, -4*k + 13*f - 8*f - 6 = 0. Let d(t) = 6*t**2 + 4*t**2 - 3*t**2. What is d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-85 - (-1 - 1)). Calculate the greatest common divisor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/5, -0.3, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4 - 124*r**3 + 4416*r**2 - 8464*r - 150. Determine p so that i(p) = 0.\nAnswer: 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -37) + (0 - (7 - (-43 + -16))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 56. Let x = 48 + t. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -563.9 - -592. Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55823 is divided by 27903.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31051 + 13407?\nAnswer: 44460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*v - 29. Let h(k) = -9*k**2 - 3 - 7*k**2 + v*k**2 - 3*k. Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 5 = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 1.49. Round u to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3715 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:47 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921487691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -30*x - 28*x - 230 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.92 rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - o + 0*o - 11 = 0, -9 = -4*h + 3*o. Suppose h*m + 46 = -4*b - 24, 4*b = -m - 34. List the prime factors of (-2)\/(-9) - 50\/m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 times -59754\nAnswer: 20316.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (1 - 1) + 6 - (17 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 3. Let j(a) = 0 + 1425*a - 1424*a + 2 - 4 + 4. What is 5*j(c) + 4*s(c)?\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -17. What is the remainder when 25 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -592*r - 173858. Determine t(-293).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 280*w**3 + 5*w**2 - 6*w + 8. Let o(t) = -140*t**3 - 3*t**2 + 3*t - 4. Let u(g) = 7*o(g) + 4*x(g). Is u(1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 14) to base 16\nAnswer: 26e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 54. Put -1, 5, -2, x in decreasing order.\nAnswer: 5, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706 (base 10) in base 5?\nAnswer: 104311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8522931459 to the nearest integer?\nAnswer: 92320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {n: 3, b: 4, h: 1, x: 4, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -411*c**2. Let j(x) = 34114*x**2. Calculate 333*b(d) + 4*j(d).\nAnswer: -407*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917610139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 2. Let z(u) = u**3 - 5*u**2 + 3*u. Let a be z(2). Let l be y(a). Is -5 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11803 and 181801?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, 2, -21, -925, -9\/10.\nAnswer: -925, -21, -1, -9\/10, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16097614259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 2641, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2.3. Which is the nearest to -1? (a) 5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgp when three letters picked without replacement from {h: 1, p: 1, v: 1, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11)*-3 + sqrt(11) - sqrt(11)) + -1.\nAnswer: -3*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 18079\nAnswer: -15\/18079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 2, i: 3, p: 5, d: 7}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/18 - 8\/(-36). Let b = 233 - 2565\/11. What is the second smallest value in d, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 18 - 1\/5*d**2 + 2\/25*d**5 - 3\/10*d**4 + 2\/5*d**3. Find m such that s(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:58 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -824, -699, -122, 979, 2676?\nAnswer: 5041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11010 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211.0153 - -211. Let f = l - 0.2847. Let r = -0.2 - 0. What is the third smallest value in -4\/5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 839*c**4 - 436*c**3 + 40*c**2 + 977*c**4 - 1456*c**4.\nAnswer: 4*c**2*(9*c - 10)*(10*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 444.\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 - 7*q**3 + 10*q**2 - 1. Let o be c(20). Suppose 11*s - 16*s + 10 = o. Solve -2 = -0*w + s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1289601882 divided by 4.\nAnswer: -644800941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqrqrqqqq. Give prob of picking 1 q and 1 r.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/135 in 4, -1\/5, 0.55, -72?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1221, 4865, 10929, 19413?\nAnswer: 30317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - j = 14, -p - 29 = 5497*j - 5501*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1190507979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 2. Let g(i) = 5*i + 16. What is 3*g(y) + 21*x(y)?\nAnswer: -6*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 - 2*l + 2. Let y be g(-3). Let m(k) = 645*k - 147583. Let q be m(229). Is y <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 9 - (-6 - (1 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 216, -3\/2, -0.4 in descending order.\nAnswer: 216, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/4 (c) -1\/2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 28\/21)*2\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10189 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06185 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 + 9099*g + 82791801\/2 = 0. Calculate g.\nAnswer: -9099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*n - 7203 = -0*z, -25 = -5*n. Let k be (-136170)\/75 + -4 + 7. Let w = z - k. Is 5 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 17*c + 137100 - 34634. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/(-12) + (-1)\/(-3). What is the remainder when (-28 - 0)*2\/n is divided by 0\/((-9)\/(-3)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:09 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -706, -1588, -2824, -4414?\nAnswer: -6358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -715, -1435, -2441, -3733, -5311?\n\"Answer: -143*z**2 - 5*z - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let g(l) = -3*l - 2. Let u = 171 + -161. Suppose p = u*p - 9. Calculate p*g(t) - i(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-87))\/(38\/38).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3355518, -0.3, 5?\nAnswer: 3355518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -126? (a) 2\/15 (b) -29 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(2) + -5)*-2 + (3*sqrt(242) + sqrt(72)*1 + sqrt(72) + sqrt(72))**2)*2*3.\nAnswer: -24*sqrt(2) + 31284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5504 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 19*s - 20. Let w(h) = -18*h**3 + h**2 - 2*h + 1. Let p be w(1). Let m be q(p). Let r be (32\/20)\/(6\/15). Sort r, m, 23 in descending order.\nAnswer: 23, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/11 + 42*s\/11 - 324\/11 = 0.\nAnswer: -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (6 - 14)) + -9 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*d - 0*d + 12, -15 = -2*d + 5*q. Suppose 3*j + m + 137 = 0, -2*j - 4*m + 2*m - 98 = d. Let z = j - 72. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(-4 - 10). Let l(n) = n**3 + 14*n**2 + 1 - n + 0*n**3 - 7*n**2. What is the units digit of l(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 - 2*y - 4. Let j be n(-4). Suppose -2*i - 19 = -5*u - 8, -4*u = j*i - 20. Let 8\/5 - 2\/5*f**u + 0*f - 6\/5*f**2 = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (-1*sqrt(216))\/(2*sqrt(18)) + -3) + 4.\nAnswer: 4*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/9)\/(3*(-4)\/(-24)). Let b = 0.07 - 0.77. What is the smallest value in 2\/5, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 4*b**4 - 3 - b**2 - 2 - 2*b + 0*b + 6 as n*b**2 + w*b**4 + t + q*b + x*b**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*n**2 + 5*j**3*n - 2*j**3 + 47*j*n**3 - 1356*j*n**2 - 1481 wrt n.\nAnswer: -4*j**3 + 282*j*n - 2712*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 121.\nAnswer: 4\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u - 24. Let m be 6\/(-1)*u\/9. Let v = 0.38 - 1.38. Put m, v, -2\/19 in increasing order.\nAnswer: v, -2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.02 (c) -0.09 (d) -0.04 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-134)\/(-46) + 1 - (-14)\/161. Solve 4*r + 3*a = -5, -k*r + 0*r = 5*a + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -57*z + 89. Solve 10 = 2*k + 5*l, 0*k = k + z*l - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.918395141 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l - 19. Let i be x(10). Let q = i - 71. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930312 a multiple of 708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31490865?\nAnswer: 3, 5, 7, 99971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621404 a multiple of 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1891 - -2079. Calculate the lowest common multiple of 12 and q.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15933 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*q + q. Solve 8 + 12 = q*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12339 divided by 1825.\nAnswer: 12339\/1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15269, -36908, -72963, -123428, -188297, -267564, -361223?\n\"Answer: g**3 - 7214*g**2 - 4*g - 8052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3\/2)*m)\/((m*m\/m**(-1\/14))\/m))\/(m**(1\/8)*m*m*m**(-3)*m) assuming m is positive.\nAnswer: m**(129\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 2*k**3\/3 + 4*k**2 + 4*k. Let j be p(8). Find the common denominator of -13\/10 and 2\/(-10) - (-134)\/j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2976206 and -11\/73926.\nAnswer: 80357562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-39 + 10)) + 2 + -43\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 626*r. Let y(v) = 639*v. Let g(h) = -9*a(h) + 8*y(h). Let m(x) = 3*x. Determine g(m(d)).\nAnswer: -1566*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 433501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/28 - 58\/56. Let k(r) = -r**2 + 3*r + 3. Let n be k(3). Which is the second smallest value? (a) n (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0043 and -48105008492.\nAnswer: -48105008491.9957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 861803 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5942, -24686, -56232, -100580, -157730, -227682, -310436?\nAnswer: -405992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from kcatapt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/41? (a) 1\/3 (b) -1340 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/12 + p**3 + 2*p**2. Let s be t(-6). What is the units digit of (50\/(-30))\/(2\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 193, 310, 427?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -198614, -198620, -198626?\n\"Answer: -6*l - 198608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/252*(((-14)\/2)\/(-7))\/(2\/(-2)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26264 divided by 536.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-4\/15)*b\/b**8 assuming b is positive.\nAnswer: b**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(105\/(-2))*52\/((-624)\/(-12))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27526626, -27526628, -27526630, -27526632, -27526634, -27526636?\nAnswer: -27526638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 - 1 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (483\/276)\/((-1)\/(-3)*18\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - f**2 - 2*f - 1. Let w be g(-1). Let y be (-3)\/36*(-3 + 0)*76. Suppose 0 = 4*a - y*a + 60. Put -4, w, a in decreasing order.\nAnswer: a, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -220. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -7*y + 6. Suppose 2*f - y*n - 3746 = 0, 32*n - 30*n = 5*f - 9386. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 22*b + 57. Give w(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1\/8))**(-46))**37)**39)**(2\/43) assuming v is positive.\nAnswer: v**(33189\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/2 + 88 + 20. Let o = r + -109. Solve -5*p = -4*f + 41, -3 = -o*p + 3*f - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077949*o**2 - 523*o**3 - 1077949*o**2 + 528*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -22. Let h = q - 15.8. What is the third biggest value in -5, -2\/13, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220445 (base 6) to base 3.\nAnswer: -120011010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2. Let d(g) = -9*g**2. Let u(r) = -3*d(r) + 7*w(r). Let f(a) be the first derivative of a**2 - 1. Determine f(u(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(52\/144) + -4. Let v = 8 + -4. Calculate the greatest common divisor of v and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44227 (base 16) to base 5.\nAnswer: -32412304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 63*z - 316 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1211, -1209, -1207?\n\"Answer: 2*i - 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/8)\/((-17)\/680*55).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**3 - 5*g**2 + 151 - 15157*g**4 + 7582*g**4 - 18*g**5 + 7585*g**4 + 43*g**5 wrt g.\nAnswer: 1500*g**2 + 240*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21134, 42181, 63228, 84275, 105322?\n\"Answer: 21047*t + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1829 and 20748052.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486959.\nAnswer: 11, 44269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239 and 0.7.\nAnswer: 167.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 37 = -3*g - 39, -4*g = -24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 0*x)*(6*x - 3*x - x)*(1 + 1 - 3)*(-1485 + 2419 - 1498).\nAnswer: 2256*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-610)\/100*(84\/(-58))\/1. Let g = t - -86\/29. Find the common denominator of 13\/7 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9739589000 to the nearest one million.\nAnswer: -9740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 16. Let m = u - -8. Is 0 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 336*y**2 - 12929*y - 3011 + 174*y**3 + 12929*y - 331*y**2 with respect to y.\nAnswer: 522*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2, -5, -12\/11, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**4\/4 - 5*q**2 + 2. What is the second derivative of d(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148081*i + 159335*i - 88621*i + 247662*i.\nAnswer: 466457*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x + 2. Let g(z) = 2*z. Let r(q) = 14*g(q) - 2*t(q). Let w(b) = -7*b + 3. Let h(i) = 2*r(i) + 3*w(i). Let y = -1 - 0. What is h(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 2 + 4*r - 10*r**3 + 12*r**3 in the form o + b*r**3 + t*r**2 + z*r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 1. Let g be (-63)\/(-12) + n\/(-4). Let f be g*(-6)\/(-10)*-1. Which is smaller: 1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907 - -945 - (-39 - -3)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (-11 + 17)) + -64 - (-15 + -1).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) 2\/15 (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9022 - 9038. Which is greater: 5\/41 or v?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 4*f - 4*f + (5*f - 5*f - f)*(-f - 2*f + f) + 17 + 2*f**2 - 30 + 7*f + 24.\nAnswer: 3*f**2 + 7*f + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 558 = -5*h - 1196, 3*h + 442 = i. Suppose 2*v = 6*v - i. Let x = v + -42. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4107606 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 16*n**2\/5 - 1665996*n\/5 - 83300 = 0.\nAnswer: -1\/4, 104125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -208 + 1?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, -1, -1136 in ascending order.\nAnswer: -1136, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 159 = 219 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -193767325?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*t + 2*t - 83, 3*c - 2*t = 82. Let s = c - 25. Find the third derivative of -7*z**2 - 6*z**3 + 4*z**3 - s*z**3 wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/10 <= 94326.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -766.7 * 2\nAnswer: -1533.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1819770046+-28\nAnswer: -1819770074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70\/385*(46475\/(-546))\/(-65)\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 5. Let h be b(-4). Let m be ((-5)\/(-2))\/(-5) + (-2324)\/(-4872). Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/77? (a) 4 (b) -13 (c) 0.09 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 151, 351, 631, 991, 1431?\n\"Answer: 40*w**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 6:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-156)*((-10)\/(-28))\/(35\/28)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -2*l**5\/5 + 2*l**4 + 8*l**3 - 79. Factor s(t).\nAnswer: -2*t**2*(t - 6)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 37, -88, 2 in descending order.\nAnswer: 37, 2, -2, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.823865 times 3\nAnswer: 2.471595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 283995461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2078666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12017972, -12017973, -12017974?\n\"Answer: -m - 12017971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1214, 1216, 1218, 1220?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - 16*h + 40. Let w(f) = f**2 + 2*f. Let p(k) = -c(k) - 2*w(k). Factor p(i).\nAnswer: 4*(i - 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + q - 5*q**2 - 9*q + 0 + 2 to w + j*q**2 + c*q and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10052636 (base 7) to base 14.\nAnswer: 17ac1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132.16 + -136.0515. Let b = 3.9 + x. What is b rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -9*v + 75 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2*m - m)*(5 - 3 - 7) + 3*m - m - 5*m - 2.\nAnswer: -18*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2139 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -7. Let s be 1*(2 + c - 35). Let w = s + 55. Solve -b + w = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19459707.4 to the nearest 100000.\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -33*z**3 - 7*z**2 + 49*z - 21. Let g(k) = -11*k**3 - 2*k**2 + 17*k - 6. What is -7*g(m) + 2*u(m)?\nAnswer: 11*m**3 - 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -48.2. Let n = p - -5. Let w = 5 + -2. Which is the closest to -1? (a) 0 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18953983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 247371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -423 + 428. Suppose -309 = -4*f + 5*t, -6*f + 5*t + 96 = -z*f. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 221, 118, -37, -250, -527?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -10648, -15 in ascending order.\nAnswer: -10648, -15, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.011 * -0.9.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1030 - 509. Suppose 2*j - q = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 17*x - 105. Let d be u(5). Solve 16 = -7*v - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/21 + 14\/49?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 17 = h - 28, 0 = -r - 3. Let a = h + 1. Solve 4*f - a = -4*n, 5*f - 29 = -4*n + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927 is divided by 1883.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.116985 seconds?\nAnswer: 8116.985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3*f**2\/2 - f + 8972. Suppose 0 = 6*w - 3 - 3. Determine b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 12*q**2 + 62*q - 20. Let w be x(-16). Solve 2*g - 4*p - w = 0, -4*p = 1 + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13700 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - 10 - -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/(-12)*3*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -11*z - 4. Let h(c) be the third derivative of -1\/90*c**5 + 0*c + 0*c**4 + 0 + 0*c**6 + 1\/18*c**3 + 1\/630*c**7 + 4*c**z. Factor h(o).\nAnswer: (o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 6. Let t = -151 + 171. Suppose t*d + 4 = 21*d. Determine q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 26 = -10*u + 6*u, 2*u = -3*x - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(((sqrt(78) + 1*sqrt(78) + sqrt(78) - sqrt(78))*-4 + sqrt(78) + (sqrt(78)*-2 + sqrt(78))*-2 + sqrt(78))\/((sqrt(450)*1)\/sqrt(3))*6)**2.\nAnswer: 7468\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12009 is divided by 3000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 11 = -4. Suppose -5*l = -q*r - 2*l + 298, -4*l - 4 = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 5. Let u be n(-2). Suppose u = 2*t - 1. Suppose -3*c = -4*j + 3*j + 264, t*j + c = 521. What is the highest common factor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Suppose 5*p - p = -j*k - 7, p = 5*k + 17. Solve -5*r - 2*y = p*y - 3, 5*r - 12 = -y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 27*t**6\/8 + t**4\/4 - t**3 + t**2 + 54*t. What is the units digit of s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6338, 6329, 6296, 6227, 6110, 5933?\nAnswer: 5684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9)*-3)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2557 (base 8) to base 2\nAnswer: 10101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 24. Suppose -l = -4*m + 23. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1\/n**(2\/21))\/(n**6*n*n\/n**5*n))**(-1))**(7\/3) assuming n is positive.\nAnswer: n**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1025222 - 11?\nAnswer: 1025211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**4 + j**3 + j**2 - 1. Let b(p) = -9*p**4 - 16*p**3 - 18*p**2 - 6*p + 5. Let z(r) = b(r) + 6*u(r). What is h in z(h) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-27))\/((-8)\/(-65)*((-110)\/(-792))\/1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-29739)\/862*(-8)\/28*2*(-14)\/4\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46.5 - 46.6. Suppose 5*l - 2*m = -97 - 48, -3*m + 87 = -3*l. Let c = -34 - l. What is the nearest to a in c, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -t + 4*t - 16, -5*t - q = -30. Calculate the remainder when 11 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.8 - 32. Let o = f - -9. What is the closest to o in 4, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 34*b**2 - 177573. Let i(p) = 5*p. Determine q(i(k)).\nAnswer: 850*k**2 - 177573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - h**3 - 4*h**2 - h**2 + h + h + 4. Let j be w(-6). Suppose 2*m + 2*m - j = 0. What is the greatest common factor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 2.7. Let f = j - -3. Let y = -1\/2 + 5\/6. Put 2\/5, f, y in descending order.\nAnswer: 2\/5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + (5 + -4 + 1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 738\/7 + 2\/7*d**2 + 100\/7*d = 0.\nAnswer: -41, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -9*c + 6*c, z = -2*c + 10. Sort -1, 1\/4, -3\/2, z in increasing order.\nAnswer: -3\/2, -1, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 4. Let i be s(-6). What is the greatest common factor of 60 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3*j)\/j*j*j**(-10)*j)**(6\/17) assuming j is positive.\nAnswer: j**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 122*j - 159*j - 1 - 1 - 142*j in the form g + y*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldldlndnlllltdll. Give prob of picking 1 n, 1 d, and 1 l.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/3)\/5)\/(50*(-48)\/(-37800))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 3, p: 1, k: 1, y: 4, c: 1}. Give prob of sequence ycuh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, -8, 1, 4, -5, 2.\nAnswer: -338, -8, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = 3*r. Let h be r + 635 - (-3 - -5). Is 12\/42 - h\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 6, x: 1, q: 4}. What is prob of sequence qqoo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -324 + 528. Suppose 146 = 10*d - q. What is the greatest common factor of d and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 4. Let m be u(4). Factor 4*x**m - 2*x**3 - x**4 - 4*x**4.\nAnswer: -x**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*325\/(-78)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22222 divided by -41.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4618696?\nAnswer: 2, 17, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/4 - 3799*l\/2 + 190575\/4 = 0. What is l?\nAnswer: -7623, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -50. Let u = x - 26.999768. What is u rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -169, -236, -285, -310?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*g - 1)*(1 - 12*g**2 + g + g + 13*g**2).\nAnswer: 6*g**3 + 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -0.534\nAnswer: 27.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 - 4*l + 4. Let w be s(6). Suppose -i + 28 = -50. What is the highest common factor of w and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 1\/7, 2\/7, 3683, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029200034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 3, f: 1, t: 3, z: 3, c: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:54 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*d = 49, 3*d - 163 = -5*x + 2*d. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -531 + 2676\/5. Put m, 0.4, 5, -4 in descending order.\nAnswer: 5, m, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149.4 - -135. Let m = 14.489 + k. What is m rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(357\/(-28))\/(-17)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/9 + 4*d**3\/9 + d**2\/3 - 10*d\/9 - 8\/9.\nAnswer: -(d - 4)*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 382734 take away -14274949.3?\nAnswer: 14657683.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.47396?\nAnswer: 0.94792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 494271.3 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Let g be (-68)\/(-352)*6\/1. Let x = g - -1\/11. Sort x, q, 1\/2 in ascending order.\nAnswer: q, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.359 + 8.26. Let b = 1.7 - 1.701. Let v = b + t. Sort 1\/2, v, -4 in descending order.\nAnswer: v, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*t**4 - 2*t**3*z**3 + 3*t**2*z**3 + 7*t**2*z**2 wrt t.\nAnswer: 2640*t - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, d: 1, s: 3}. Give prob of picking 1 d and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/11900*17*(-7)\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 6\/(3 + -2). Let b = a - 4. Suppose b = -h - 0 + 2. Solve 0*i - 2*v - 8 = -2*i, 2*i + h*v + 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1296192*r + 4528113 wrt r?\nAnswer: -1296192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000908874091 to 6 decimal places.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 305 = u. Let r = u - 185\/3. Let q = -19 - -22. Which is the third smallest value? (a) 1 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1974.01522\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/195? (a) 3\/4 (b) -795.5 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 19*i = -21*i - 308, 0 = -2*m + 2*i + 158. Let n(b) = -128*b + 17. Let u be n(-11). Calculate the highest common divisor of u and m.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 < -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycyc. Give prob of sequence cycy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 0*v - 45726 = -46006 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3111044 (base 5) to base 14.\nAnswer: -1470a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 115383\nAnswer: 4\/115383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*r - 9, -13*r = -134*r - 2*n - 611 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/7 - 6) + 7. Which is the nearest to 0? (a) -18 (b) n (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**5\/20 - 9*q**4\/16 - 10*q**3\/3 + 6*q**2 - 1724. Find f such that z(f) = 0.\nAnswer: -4, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, m: 2, c: 3}. Give prob of sequence fe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 5*c - 58, 4*f = -c + 156. Let a = -35 + f. Solve -3*b - 3 = -a*s + 8*s, 1 = -b + 3*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 4*v + 16 = 0, 4*v = 3*p + 14. Let w(a) = -3*a + 4*a - p*a - 1 + 2*a. Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 + 2 = 0. Suppose -3*c = 2*r - x, 4*r + 13 = -0*r + c. Let t = 0 - r. 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 f(c) = 31*c**2 - 2*c. Let j(b) = 6971 + 4*b - 6971 + 9*b. Give j(f(t)).\nAnswer: 403*t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16 and (31\/184)\/(3\/(-6)).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (132\/(-24))\/((-2)\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4600342 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1796910*y - 1796936*y + 156 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30\/7 - 129\/35. Which is the biggest value? (a) 0.4 (b) y (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 22*l + 22*l + 3*l**2 + (1319 - 758 - 744)*(0*l**3 - 2*l**3 + 0*l**3).\nAnswer: 368*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2808*u**2 - 30868*u + 293. Give v(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**3 + 4*y**2 + 6*y. Let r(x) = -17*x**3 + 9*x**2 + 13*x. Determine 13*a(f) - 6*r(f).\nAnswer: -15*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5879, -23862, -53833, -95792?\nAnswer: -149739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8880520003.\nAnswer: 43, 277, 745573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*v**3 - 147*v**2 + 147*v**2)*(4*v + 7 - 7) - v + 2*v**4 + v**4 - v**4.\nAnswer: -210*v**4 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -760 + 379. Let x = c + 545. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 4*s)*(-55*s + 48*s - 90*s) - 2*s**2 + 0*s**2 + 3*s**2.\nAnswer: -290*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4284 = 5*n + 774. Suppose 11 + 1 = 4*k. Suppose k*s - 231 + n = 0. What is s rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 - 2. Let z(g) = -g**2 + 1. What is o(y) + 6*z(y)?\nAnswer: 2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/2 + 54*f**5\/5 + 81*f**4 + 216*f**3 - 601. Factor r(a).\nAnswer: 3*a**2*(a + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002932 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6099028184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + g**3 - 3*g - 3*g + 3*g + 6*g**3 - 2 - 3*g to i*g**4 + t*g + p*g**3 + r*g**2 + w and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1.63.\nAnswer: -0.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:54 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/2 + 2*j**3 - 2*j**2 - 2. Let n(c) = -30*c - 3*c**3 + 9*c**2 + 12*c + c**3 + 15*c - 4*c**2. Calculate 3*l(d) - 4*n(d).\nAnswer: 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253808 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l - 3*l + 5*l)*(-3*l + 2*l + 2*l) + 6*l**2 - 3*l**2 - 2*l**2)*(-3 - 11 + 2).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + 116.9804. Round n to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {l: 1, f: 3, g: 2, m: 2, i: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)\/(h*h*h*h**(-27)*h) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1875\/28 + 269\/4. Which is the nearest to 2? (a) 5 (b) -5\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43110735 by -111.\nAnswer: -388385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3236399 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17370821\/42 + -413650. Let a = 313\/6 + u. Calculate the common denominator of 1*(13 + 1974\/(-231)) and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/((-64)\/720)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292*n**3 - 372*n**2 - 6*n - 12529292 with respect to n.\nAnswer: -876*n**2 - 744*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiij when four letters picked without replacement from iiiiiibjbji.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52765775 divided by -2?\nAnswer: 52765775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008) + -1)*-3 + 4 + 2*sqrt(1008) + (sqrt(1008) + 0)*2)**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 622277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/4 (b) 0.1 (c) 20 (d) -4\/7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1845 and -64\/55.\nAnswer: 20295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.217 - -89.217. Let t = 1731165 - 1731254.0291. Let l = b + t. Round l to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60.3*-1556731\nAnswer: 93870879.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090052373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -3, -7, -13, -21?\n\"Answer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36a4 (base 12) to base 13\nAnswer: 2a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7128)\/(-2376) - 6\/7)\/(0 + 3\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 4*l - l + 4*l + 3 - 3 + (2*l + 2*l - 6*l)*(0 + 0 - 1).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 7. Let q(u) = u - 1. Let i(b) = c(b) + 2*q(b). Let x(j) be the second derivative of j**4\/12 - 267*j. Give x(i(r)).\nAnswer: 9*r**2 - 30*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*u = -8389 - 11871, 0 = -7*p + 5*u + 70872. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by 6.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 - 3542*z**3\/3 - 3530*z**2\/3 + 5898*z - 3540 = 0. Calculate z.\nAnswer: -1770, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 244, 294, 364, 454, 564?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.582 from -0.4.\nAnswer: -5.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -423*l**2 + 178*l**2 + 574*l**2. Let p(v) = -8*v**2. Determine p(r(m)).\nAnswer: -865928*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*1\/(-12)*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let k(s) = 50*s. Let m be 3\/((-4)\/((-32)\/12)) - 0. Give m*k(n) - 110*v(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -42*k**2 + 47. Let a(h) = 575*h. What is i(a(g))?\nAnswer: -13886250*g**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 1. Let t(i) = 4*i - 1. Let s(f) = 4*t(f) - 5*x(f). Let d(w) = -12*w - 12. Let n = 198 - 199. Determine n*d(g) - 10*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.07*2.84.\nAnswer: 39.9588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 109932 times -0.1\nAnswer: -10993.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*v**4 - 5*v + 23 wrt v?\nAnswer: 2808*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*q - 144*q + 78*q = -24966 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573*x - 2*x**2 + 5 + 7 - 8 - 3.\nAnswer: -2*x**2 - 1573*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 119728, 117427, 113592, 108223?\n\"Answer: -767*z**2 + 120495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -154. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i + 9*i + 0*i as u + x*i and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*v = 8*m - 120, -3*m + 475*v - 485*v = -45 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1062*r + 16 - 4 + 1058*r)*(-19 - 1 + 5) as u + i*r and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqr. Give prob of sequence rrq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(-2 + 2 + g)*(0*g**3 - 18*g**3 - 21*g**3) to the form s + k*g**3 + q*g**2 + y*g**4 + n*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382985182.\nAnswer: 2, 41, 1699, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-33)*s*s\/s**13)\/(s*((s**(-8)\/s*s*s)\/s*s)\/s*((s\/(s\/(s**(-2\/115)\/s)))\/s)\/s))**(-23\/5) assuming s is positive.\nAnswer: s**(-3912\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 + -96. Let h = -109.935 + z. Let l = -0.165 + h. What is the smallest value in l, -3\/2, 13\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 + 3*w. Let s(q) = 9*q**2 - 7*q - 1. Let y(o) = 11*f(o) + 6*s(o). Let r be y(-8). What is the closest to 2 in -2\/19, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3014 + 1.30207956. Round l to 5 dps.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -214*r**2 + 3*r - 3. Let z(m) = 642*m**2 - 10*m + 10. Let p(b) = -10*t(b) - 3*z(b). Let a(n) = 3*n + 2*n - n - 2*n - 5*n + 4*n. Calculate a(p(h)).\nAnswer: 214*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4384\/480 - (-10)\/(-75)) + (-510)\/56.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1425681.7866 to the nearest 10000.\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -194*l + 4388. What is the lowest common multiple of b(22) and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-121)\/55)\/(2 - (-73)\/(-5)) and 19\/10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/29, -2\/3, 2\/7, 219715 in descending order.\nAnswer: 219715, 3, 2\/7, 2\/29, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let m(l) = 0 - 13 - 1 + 14 - 586*l. Calculate m(k(j)).\nAnswer: -1758*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296311609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8 - 2*m - m**2 + m + 5*m - 3. Let s be k(4). Let i(w) = -w**3 + 6*w**2 - 7*w + 5. Determine i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*k**2 + 9918*k - 52*k**2 - 9918*k.\nAnswer: -207*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 5*b**2 - 7*b + 5. Let x be t(6). Suppose 7 = -q + 2*r, 5*q + r + 139 - 71 = 0. Sort -4, q, 1, x in decreasing order.\nAnswer: 1, x, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-1)\/(-3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 71, 159, 281, 437, 627?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -31.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.029? (a) -0.5 (b) -8 (c) 0.05 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365 and 5475.\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64442224 + -3?\nAnswer: 64442221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from gllncngggcggggcncsc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from msvtsrmhh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/720)\/(((-63)\/(-15))\/(-7))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2*k**2 - 37*k - 210. Calculate s(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -641\/6. Which is the third biggest value? (a) 3 (b) -1 (c) 1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 + 120*l**2 - 4212*l + 34992 = 0.\nAnswer: 12, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(-1*(-2)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207830 (base 11) to base 2.\nAnswer: 1010001001010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -2.555, -4 in decreasing order.\nAnswer: -2.555, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/3))**(-1\/40))**32)**(-1\/2) assuming i is positive.\nAnswer: i**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9266957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011110101122 + -20221?\nAnswer: -12011110122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*2.5\nAnswer: -0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1219 - 100.9219. Let i = -78.99 + q. Let y = -181 - i. What is y rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261103 is divided by 2435.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*l + 23 = 3*l, -y = -3*l + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 908423 divided by -173.\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31238611687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-49))\/(-22 + 2448\/112)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5589 and -0.4?\nAnswer: 2235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 144 + -143 - (-2 - (5 - 8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 27*x + 22*x)*(-2 - 2 + 3)*(-2*x - x + 4*x).\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 255*u - 252*u = -4*z + 4*z - 508*u + 16, 11*z + 2*u = 149 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {c: 3, u: 3, z: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204685 (base 9) to base 13.\nAnswer: -43451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v - 94*v + 2 - 10*v as z*v + j and give z.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**3 - 10*y**3 - 2*y**3 + (1 + 0 + 1)*(-5*y**3 + 11*y**2 - 11*y**2) + 8*y**3 + 12*y**3 + 23*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541199 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -44. Calculate the remainder when b is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 + 7*o**2\/6 - 3*o.\nAnswer: o*(o - 2)*(o + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:27 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 - (2 + (2 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*a - 295494 + 265179 for a.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let x(g) be the second derivative of 11*g**4\/6 + g + 36. Determine x(q(w)).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 2 + w**3 - 4*w**3 - 1 to the form y*w + t*w**3 + c + b*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14 = -2. Let z be (-3)\/6*6 - -5. Suppose w + 12 = 3*w - o, 0 = 3*w - 5*o - 32. Put z, i, w, 3 in decreasing order.\nAnswer: w, 3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:47 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -6, -37, -104, -219?\n\"Answer: -2*b**3 + 7*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3971144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011484 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 plus 39.87?\nAnswer: 44.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*(sqrt(7)*-3 - sqrt(7)))**2 - sqrt(7)).\nAnswer: -112 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 68967 times 1.1409\nAnswer: 78684.4503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g - 101*g = -f - 13, -5 = 2*f + g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -108*b**2 - b. Let p(f) = -f**2 + 0*f**2 + 0*f**2 + 76*f - 76*f. Calculate p(y(a)).\nAnswer: -11664*a**4 - 216*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*24\/(-120)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1158825, -1158870, -1158945, -1159050, -1159185, -1159350?\n\"Answer: -15*s**2 - 1158810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*r + 20 = 0, -35*r = -2*g - 36*r + 4. Is g <= -50\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1404 and 5.\nAnswer: -7020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/3)\/((-280)\/240)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r**3 - r**2 - r - 1. Calculate x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from yyyyxwyyyywyyoyo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 24619149*b. Let o(v) = v. Give o(f(y)).\nAnswer: 24619149*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + 5*d**2 - 2. Let h be f(-2). Let i(b) = -b - 4. Let q(n) = n + 3. Let c(v) = h*i(v) - 5*q(v). Let y(s) = 2*s. Determine c(y(r)).\nAnswer: 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*g**2 + 3)*(-4 - g**3 + 4) + 11*g**5 + 8*g**5 - 8*g**5 + 0*g**5 + 0*g**5 - 2*g**5 + (-2*g**2 + g**3 + 2*g**2)*(3*g + 4*g**2 - 3*g).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - (-110 + 12 - -48).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 26*h**2 - 17*h + 2. Let t be x(1). Let a = 32 - 23. Solve -5*f - t - a = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 8 in ascending order.\nAnswer: -7, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*j - 4*j + 1 = 0, 0 = -4*d - 2*j + 20. Solve -5*n = 3*q - 3 - 12, -15 = -d*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/108*198\/(-44).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41513 - 40788. What is the greatest common factor of 232 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6851978360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k - 3. Let f be w(5). Suppose 0 = -0*o + 3*o - 6. Suppose 3*s + o*y - 8 = 11, 0 = 5*s + 5*y - 40. Solve s*x + f = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27366 + -21934. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2\/33, -9\/5, -7\/4 in decreasing order.\nAnswer: -2\/33, -7\/4, -9\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + x - x)*(0*x + 2*x - x + (x + x - x)*(0 + 2 + 0) - 3*x + 0*x - 2*x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(105\/(-6)))\/(2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -x - 41 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13488018 divided by 2617\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46068378*q**4 + 6213548.\nAnswer: -184273512*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -32*b**2. Let g(i) = -45*i**2 + 7*i. Let l(y) = 69*y**2 - 11*y. Let u(t) = -8*g(t) - 5*l(t). What is u(w(f))?\nAnswer: 15360*f**4 + 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55348829 is divided by 839?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 25 = -2*l. Suppose -1125468 = -l*d + w - 8275469, -4*w = -3*d - 4290004. What is d rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = 0. Let k(n) = n**3 - 8*n**2 + 5. Let q be k(8). Suppose -3*w - 2*x + r*x + 273 = 0, 0 = q*x + 15. Round w to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z - 1. Let u(o) = -5*o**2 + 4*o - 2. What is u(s) - 3*x(s)?\nAnswer: -2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - (-1 + 0)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 24\/(384\/(-80))*-697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/73, -6\/1025 in descending order.\nAnswer: 1\/73, -6\/1025, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -52015335 (base 7) to base 16\nAnswer: -427cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 588 = -13*c. Let z = c - -424. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -49*a - 150 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -95, 42, 2, -0.12, -2, -5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 42 + (-2 + 1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + -227.2\nAnswer: -227.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {w: 1, v: 1, m: 1, x: 2, z: 2, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102940728?\nAnswer: 2, 3, 11, 389927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17180490004753 less than -0.2?\nAnswer: -0.02819509995247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 - 215*m**3 + 2200*m**2 + 2420*m = 0 for m.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -0.03.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7387 times 7.72\nAnswer: -57027.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and -815.786456?\nAnswer: 815.726456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/15 + 14*r**4\/15 - 16*r**3\/15 - 32*r**2\/15 = 0 for r.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.445 - -3.493. Let h = 0.132 + p. Let v = 4 - h. Round v to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 13. Suppose -12 = -4*z + 5*t, z - t + 5*t = -r. What is the remainder when 33 is divided by -15*((-24)\/(-20))\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f + 9*f + 59*f + 20*f + 0*f - 64*f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3\/4 + 5602*d**2 + 17923195*d\/4 - 7689603\/2.\nAnswer: (d + 1601)**2*(7*d - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 14*k**2 - 23*k + 40. List the prime factors of u(16).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27245.\nAnswer: 5, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*p + 149*p + 49753 = 5977 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1212, -1233, -1262, -1293, -1320, -1337, -1338?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + v = 62 - 20, -3*v - 75 = 5*m + 2*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-9) - -1)*-27. Suppose 4*j - 4*b - 130 = -2*b, 0 = 4*j - 5*b - 139. Let y = j - -41. What is the greatest common factor of y and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 - 2.5. Let w = 3 - 2.9. Let s = o - w. What is the closest to 0 in -2\/9, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.4239 minus -3?\nAnswer: -88.4239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/30277 + 1120369\/1816620. Calculate the common denominator of m and -65\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/12 + p**3\/3 + 3*p**2\/2 - 4*p. Find the common denominator of -17\/4 and o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 - 2907248*o**2 + 199877534 wrt o?\nAnswer: -3*o**2 - 5814496*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -16*w**4\/5 + 534*w**3 - 54578*w**2\/5 - 6864*w\/5 = 0?\nAnswer: -1\/8, 0, 24, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Suppose -4*z + 4 = 0, b - 3*b + u*z - 34 = 0. Let d = -11 - b. Calculate the remainder when 10 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120026, 240003, 359974, 479933, 599874, 719791?\n\"Answer: -q**3 + 3*q**2 + 119975*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8950 is divided by 2237.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4, 12 = 3*a - 7*a + 4*j. Let r(g) = -9 + 4*g + 0*g + 4 - 1 + g**2. Give r(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - 3*v. Let s = -1355 + 1353. What is the smallest value in -10, s, v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.925195 millennia to months.\nAnswer: 107102.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = -p + 5, 0 = a - p - 5. Suppose 5 = -5*h - a. Sort h, 1\/9, -2\/11.\nAnswer: h, -2\/11, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/10 - x**3\/10 + 2*x**2\/5 + 2*x\/5.\nAnswer: -x*(x - 2)*(x + 1)*(x + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:26 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2055351*f*t - 6149895*t wrt f.\nAnswer: -2055351*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/360*-3 + (4 - (-3340)\/(-825))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 43. Let b(t) = -16*t**2 + t + 133. Calculate -2*b(m) + 7*y(m).\nAnswer: -3*m**2 - 2*m + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - j + 1 = t, 0 = 2*t + 4*j + 16. Let a be (-12)\/30 + t\/(-15). Let n = 2\/15 - a. Sort 2\/21, -0.4, n in increasing order.\nAnswer: -0.4, 2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/41 in 7970, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83.07 - -2.93. Let h = v + -86. What is the biggest value in -2, -1.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21551, -21638, -21725, -21812?\n\"Answer: -87*s - 21464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.88704003 + 5?\nAnswer: -244.88704003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 68*c**2 + 4*c - 4. Let b(s) = 70*s**2 + 5*s - 5. What is -2*b(l) + 3*i(l)?\nAnswer: 64*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 517421385*f**4 + 605446768*f.\nAnswer: 6209056620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6717 + 11303. Suppose -3*q + v = 3*c - 2*c, 0 = 3*c + 3. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3)*(-3)\/10)\/(494325\/(-570375))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 3. Let l be g(6). Suppose -5*b - 8*b = 0. Let h be b\/((1 - 0)\/(3\/(-6))). Solve -m + 2*m - l = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1837, -4, -2 in decreasing order.\nAnswer: 1837, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172 times -9.54794?\nAnswer: -1.64224568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 98624498?\nAnswer: 98624498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, -247, -1154, -2061, -2968, -3875?\nAnswer: -4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p - 226*p + 57*p + 53*p + 54*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 19*t - 148. Let x be v(6). Solve -h + 2 - x = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290975 divided by 1\nAnswer: -290975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -19 (b) -0.29 (c) -4\/3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 + 5*c - 23. Let l(y) = 4*y**2 - 2*y + 11. Determine 4*f(o) + 9*l(o).\nAnswer: 4*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.18, -20\/17, 5, 0.06?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (113336\/(-1008))\/(-31) - (-5)\/((-180)\/8) and 61\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (7 + -4 - -1). Is 14 a factor of 139 + 1*(r + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10320332131 (base 4) in base 3?\nAnswer: 2102010111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5511 - 5495. Solve 5*m = -2*f + d, -22*m = -23*m - 2*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/(-28) + (-8585)\/(-24038)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -281*n. Let s(f) = 5646*f**2. Calculate s(h(q)).\nAnswer: 445813806*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 132 = 8*v. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 19. Let q be x(15). Differentiate -950*j + 950*j - 35 + q*j**4 wrt j.\nAnswer: 164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4565 and -1.\nAnswer: 4564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7172 - 6962. What is the highest common factor of 602 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198 - -206)*(0 + -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114121397, 114121404, 114121415, 114121430?\nAnswer: 114121449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 12*i - 5 = 0. Suppose 0 = i*q + 224 + 246. Let p be q\/(-18) + 390\/(-54) + 7. Solve -p*r - 10 = -3*s, 6*s - 23 = 2*r + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4461093158 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: In base 9, what is -14201 - 1440?\nAnswer: -15641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -440c?\nAnswer: -4418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 292*u**3 - 292*u**3 - 49*u**4 + 0*u**4 - 2*u**4 + u**4 + (u - 3*u**4 - u)*(-2 + 1 + 0) + 0*u**4 - 4*u**4 + 3*u**4.\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84919998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 1. Let l(c) = 2 + 7 - 3*c**2 - 5*c**2 - 4 - 3*c. Determine -6*h(m) + l(m).\nAnswer: -2*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21\/4 + -303\/44. What is the common denominator of q and (-94)\/7 - (7 + -5 + -7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*m**5 + 50601*m**4 - 7*m**2 - 1755900*m?\nAnswer: -4860*m**2 + 1214424*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5764292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 - 36*i + 15. Let p = -3245 - -3255. Give w(p).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - -2*sqrt(242))\/sqrt(11) - -2*sqrt(550))\/(sqrt(72)*6*1 + sqrt(72)))**2*-2.\nAnswer: -1859\/882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -84.12069 - 3\nAnswer: -87.12069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13135 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*m - 141*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*t + 174*t - 22 + 170*t - 527*t - 7442 in the form q + y*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*f*j**4 - f*j**3 - 5*f*j**2 - 592*f*j + 96*j**5 - j wrt j?\nAnswer: 792*f*j - 6*f + 5760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j - 3*j - 143*j**3 + 29 + 151*j**3 + 4*j wrt j?\nAnswer: 24*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1604722 (base 9) to base 12\nAnswer: -36a732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 7 - m - 5*m**2 + 1 - 2*m**3 + 6*m. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170866\/85433*8\/18*(-2)\/48?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 73*j - 1085. What is p(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -115. Suppose -10*w + 5*w = -k*y + 19, -2*y - w - 11 = 0. Put -5, 0, y in increasing order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = 17. Solve -w*v = -0*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299368 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*a**5 - 7*a**4*d**2 + 7*a**2 - 19*d**2 + 72 wrt a.\nAnswer: -6900*a**2 - 168*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/13)\/((-32)\/36 - 28\/(-126)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 6*m - 1. Let i be j(5). What is the units digit of i\/(-4) - 1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9811 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25216.692 months?\nAnswer: 21.01391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 2\/3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 7*z - 12*z**2 + 0*z**3 - 12*z**2 + 2 - z**3 + 31*z**2 in the form b*z**3 + s*z + d*z**2 + a and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 + 40 = -5*c, -5*o - 3*c + 112 = 0. Solve -s = t, s - o = -t - 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-5))\/((-6)\/(-30)). Let q be 17\/6 + (-2)\/h. Differentiate -6 + 4 + 2*d**3 - d**q wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x + 8. Suppose -c = -18 - 5. Let u = c - 5. Calculate the least common multiple of u and s(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/6 + 206*f**3\/3 + 205*f**2 + 3409*f. Factor b(z).\nAnswer: 2*(z + 1)*(z + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 11*k. Let c be q(8). Suppose -7*u = -3*u. Suppose -i + 5*i - c = u. What is the remainder when 16 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - u + u)*(u**2 - 4*u**2 + 4*u**2) - 63*u**5 + 0*u + 60*u**5 - 7*u.\nAnswer: -5*u**5 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (6 - (6 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2848, 2929, 3070, 3277, 3556, 3913, 4354, 4885?\n\"Answer: o**3 + 24*o**2 + 2*o + 2821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 8*l + 29. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0)*(17 + 2). Suppose -5*a = -10*a - 2*b + 102, -2*b - r = -2*a. Solve -a = -4*q + 2*v, -q = v - 4 - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 2\/609 (c) 15 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n\/n**(1\/5)*n*n)))**(18\/11) assuming n is positive.\nAnswer: n**(342\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = -3. Let d = o - -2. Suppose -4*l + 128 = -5*v - 113, 3*v - 233 = -d*l. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*u - 4)*(-2 + 0 + 0) - 3*u + u + 0*u + 0*u + 0*u + 2*u + 2*u - 4*u + 3*u + (u - 2 + 2)*(-5 + 1 + 5) - u - u + 3*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000171493447 to seven decimal places.\nAnswer: -0.0001715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7337 - -2118. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-114)\/30)\/(-1). Which is the nearest to 0.1? (a) -5 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95205255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:43 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*u**2\/6 - 1733*u\/6 - 2695\/3 = 0 for u.\nAnswer: -1078\/131, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/2*6\/(-15). Suppose 0*a + a = -l*z + 15, -2*z = -8. Solve 0 = -3*q + a*y - 12 - 6, 3*q + 3*y = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 6*k**2 - 3*k**2 + 9020356 - k**2 - 9020356 + k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90975 by 30325.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**4 + 73*j**3 - 61*j**2 - 20*j.\nAnswer: -j*(j - 5)*(3*j - 4)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 2, 3\/5, -0.05, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -419 + -a117?\nAnswer: -a535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from sotxmsq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1037 (base 8) to base 16.\nAnswer: 21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = 3*b - 6749, 2*b - 5*g - 4493 = 0. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789520405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 5*j**3 - 3*j**3)*(-4 + 4 + 5)*(-5*j**2 + 956 - 951 + 2*j**2).\nAnswer: -30*j**5 + 50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 190, 513, 972, 1573, 2322, 3225?\nAnswer: 4288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.2 (c) -0.1081 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + 2192\/(-80). What are the prime factors of 9\/y + 43\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*q = 129*q - 10. Let c be (-77)\/5 + 26\/65. Let m = c - -20. Put q, 2, m in decreasing order.\nAnswer: m, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -57. Let u be 2 + 0 + 12\/k. Solve u*l - 6*l + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4 - f**3\/6 + 4*f + 64. Let w(n) = 14*n + 10. Let z(d) = 20*d + 14. Let g(p) = 7*w(p) - 5*z(p). Determine g(r(y)).\nAnswer: -24*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*p + 75. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y**(-17)*y*y)\/y)*y)\/(y\/((y*y\/(y*y**(-1\/2)\/y)*y*y)\/y)))\/(y*y**(2\/23))**(1\/11) assuming y is positive.\nAnswer: y**(10829\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*3*(-16)\/72*3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4941067, 4941069, 4941071, 4941073, 4941075?\nAnswer: 4941077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/224*8 - (-6)\/8. What are the prime factors of i\/8 + (5661\/24 - 1)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13775 divided by 29\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(19) - (sqrt(76) - 1*sqrt(76)) - sqrt(19))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 3*b + 5*b - b**2. Suppose 0*p - 5*w + 22 = p, -5*p - 3*w = -22. Let j(x) = 2*x + 22 - 22 - 8*x**p. Calculate -5*j(m) + 6*n(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/104 and 17\/15340.\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 3 - 1 - 6 + 2. Let b be m(9). Let u be (-7)\/((-17)\/(-9) - 2). Calculate the greatest common factor of u and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 125\/50*(-4)\/10. Let z(o) = 4*o**2 + 14*o - 3. Let r(a) = -a**2 + 1. Let u(y) = n*z(y) - 3*r(y). Factor u(q).\nAnswer: -q*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-12 - -16) - 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 19 - 5*w**3 - 70.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (11 + (-20 - -8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6557976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 50, 5, -78, -211, -406, -675?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2 + 55*u + 56 = 0.\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/122987 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 5*g + 328 - 20*g + 7*g - 2*g**2.\nAnswer: -2*g**2 - g + 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-6634.\nAnswer: -33170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1963231*i - 12884770 wrt i?\nAnswer: 1963231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 5, g: 1, h: 8}. Give prob of sequence hh.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 13 + 4)*(-4*m + 4*m + 3*m) + (3 - 5 + 0)*(4*m - m - 4*m) + m + 6*m - 5*m to n + d*m and give d.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h - 2. Let z = -9 - 34. Let j = z - -39. Let i(d) = -d**2 + 2*d + 2*d**2 + 2 + d**2 - 4. Determine j*a(k) + 3*i(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 81*o**2 - 2087*o + 6343. Calculate m(101).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + 3*t - 4*z - 17, 0 = 4*t - 2*z - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5\/3 + 976*g**4\/15 - 4298*g**3\/15 + 1844*g**2\/15 + 496*g\/5 = 0.\nAnswer: -2\/5, 0, 1, 4, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - i - 2. Let j(u) = -29*u**2 - 9*u - 18. What is -j(h) + 7*q(h)?\nAnswer: h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3216 + -3216. Put r, -0.12, -5 in descending order.\nAnswer: r, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.888605l in millilitres?\nAnswer: 2888.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2324694\nAnswer: 2324694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108010890?\nAnswer: 2, 3, 5, 13, 92317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-299)\/20 - (-140)\/10 and -137\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, 0.403, -0.9?\nAnswer: 0.403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15384 - 0.15391241. Round s to six dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -561?\nAnswer: 8\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (2\/(-2) - 3). Solve j = -d - 2*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 458?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j + 4 - 3 - 6*j - j**2. Let q(h) = h**2 + 3*h - 16. Let d be q(-5). What is the units digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2356*v + 2363*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 + 1)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -29*z**4\/12 - z**3\/3 - z**2 + 33*z - 14. Let i(m) = 14*m**2 + m + 1. Give 11*i(t) + 6*r(t).\nAnswer: -20*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:52 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*l - 12 = 2*i, -4 = -2*l. Let m(y) = -y**3 - 36*y**2 - 71*y - 99. Let n be m(-34). Solve n*q + q = i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 2, -3, -2\/29, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 6726328?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6669, 26675, 60019, 106701?\nAnswer: 166721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 353833 * 0.3\nAnswer: 106149.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 4 (c) -5 (d) -3\/107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7580*u - 18561 = 60367 + 193952 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -21.36.\nAnswer: 4.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 + 2*h**2 + 2*h + 1. Let n = 7 - 8. Let r be s(n). Suppose -u + 17 = -r. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/810 and 59\/219200?\nAnswer: 17755200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 585, 989, 1471, 2037, 2693, 3445, 4299?\nAnswer: 5261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514, -1064, -1612, -2158, -2702, -3244, -3784?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40867*n - 179787.\nAnswer: -40867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - 47*g + 162. Let k be y(3). Which is smaller: -54 or k?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.645 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 173?\nAnswer: -12629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y + 2. Let m = -307 - -312. Calculate the remainder when q(-5) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121.4 * -52782.\nAnswer: 6407734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -24312?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 642 and 122194.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -23*z**7\/210 - 19*z**5\/30 + 22*z**2. What is the third derivative of i(a) wrt a?\nAnswer: -552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 14*s**2 - 6*s - 40. Let h be c(-7). Suppose 2\/3*w**h - 4\/3*w + 0 + 2\/3*w**3 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407 - -406.9. Which is the third biggest value? (a) 1 (b) 20 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = -2. Suppose -d*w = -57 + 13. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15814774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 4. Let b(o) = 20*o + 37. Let s(f) = -7*f - 13. Let p(h) = 6*b(h) + 17*s(h). Determine 2*k(n) - 6*p(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-1))\/17*2\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 208*j. Let o(c) = -c**2. Calculate o(r(u)).\nAnswer: -43264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d)*(-1 - d + 1) + 1 - 1 - 2*d**2 - 3*d**2 + 0*d**2 + d**2 + (-2 - 2 + 5)*(d + d**2 - d) - 3*d + 3*d + d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, -3 in increasing order.\nAnswer: -9, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.453 - -180.347. Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k - 20 = -4*h, -5*k + 30 = 5*h. Put 3, h, 0 in descending order.\nAnswer: 3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67769865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i. What are the prime factors of f(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9692.9 - 9693. What is the nearest to n in 3, 5, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 11 = 4*x + 17, 2*d + 0*d = -6*x - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 6. Let j be n(4). Let b be 1 + (-1 - j\/(-9)). Let a = 10.4 + -10. What is the nearest to a in 2, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -19*n - 134. Suppose -2*p - v = 12, 2*p - 8 = -5*v - 4. Let f be w(p). Calculate the highest common factor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:04 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + 5) - -17 - (3 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/114)\/(((-45)\/(-20))\/(-3))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1273 = -16*o - 2789 - 1796. Is o <= -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 14) + 27 + -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*y + 2*p + 8, 0 = 2*y - 5*p - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 44 - 5*c + 3*c + c. Let d be m(-7). Factor -17*y**5 + 6*y**d - 5*y**4 + 6*y**5.\nAnswer: -5*y**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3))\/5*801\/(-356)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 13*z**2 - 7*z - 11. Let c(t) = -2*t**3 + 14*t**2 - 7*t - 12. Let j(i) = 2*c(i) - 3*r(i). Let x be j(-9). Is 10 a factor of x\/(-21) - 4\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r - 6*r + 980 = -6*r - 42*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (325*r**3 - 199*r**3 + 277*r**3 + (r - 2*r**2 - r)*(4 - 4 - 2*r))*(r - r - 2*r**2).\nAnswer: -814*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 7*o - 12 = -2*z, 5*o = -z + 24. Suppose 2*x = 2*p - 1666, -4 = z*x - 12. Does 44 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203517 + -134183. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose -5*x = -3*r - 17, 4 - 16 = 3*r. Let s = 9 + -13. What is the closest to x in g, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Solve 0*b = x + 2*b + 1, f = 3*x - 2*b - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 2, r: 1}. Give prob of sequence qr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -19*i**4 + i**2 - 1. Let y(u) = -19*u**4 + 2*u**2 - 2. Let v(c) = -4*r(c) + 3*y(c). Differentiate v(q) with respect to q.\nAnswer: 76*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(36)*-5 - 3*sqrt(4)*-1)\/((sqrt(800) - -1*sqrt(800))*-3).\nAnswer: -4 + sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 51745361?\nAnswer: 51745375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103566306.\nAnswer: 2, 3, 157, 109943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 + 1125.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113289 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -87?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198 - 149. Let o be 0 + -2*(28 - 4). Let x = -41 - o. What is the highest common factor of x and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-122)\/(-4)*(34 + -40). Let w = l + 188. Let i be (-1)\/3 + (-7)\/(-21). Solve i*x + w*x - 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*a + 3442 + 78 = 0. Solve 3 = a*r - 31*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 0.1. Let g = 1134 + -1223.3. Let k = g + 91.3. What is the second biggest value in k, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41984 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4989, 5 in descending order.\nAnswer: 5, 1, -4989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 - 617*n - 220. Determine a(-154).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/21 (b) -3\/7 (c) 4\/5 (d) 0.09 (e) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530 divided by -3.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2138, -4, -1, 3, -5 in ascending order.\nAnswer: -2138, -18, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 3*m + 2. Let p be b(4). Let r(n) = -n**2 - 25*n - 149. Let t be r(-9). What is the nearest to 7 in -1\/3, p, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 0 + u + 2*u - 2. Let a be t(4). Is 9 a factor of (-3)\/a - 1055\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-116)\/(-60) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -711*n**4 - 66*n**2 + 709*n**4 + 99*n**2 - 3*n + 89*n**2 in the form y + g*n**2 + j*n**4 + m*n + c*n**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 10899293?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*z**2 + 84329*z**4 - 84316*z**4 - 4*z**2 - 2*z + z**3 as h*z + b*z**4 + y*z**2 + g + r*z**3 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37*0.4\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*(-16)\/(-20) + -5 - -88 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 23, -0.06.\nAnswer: -2\/5, -0.06, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0152336 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.1. Let v = 892.12 + -891.32. Put -2\/3, p, v in descending order.\nAnswer: v, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 5*a + 6*a - a + 7*a - 5*a as k*a + t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1157020.\nAnswer: -1\/115702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:16 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1026 - -27679. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -178, -6 in decreasing order.\nAnswer: 4, 3, -6, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 48.98. Let t = 349\/6 - 58. Let o = 32028 + -32032. What is the fourth smallest value in q, t, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-27)*r\/r**(-18) assuming r is positive.\nAnswer: r**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.5257712 to one dp.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9913147 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 82. Let h(y) = 10*y**2 - y + 2. What is the remainder when i is divided by h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/7 + -5\/28. Which is the nearest to t? (a) -5 (b) -0.1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 1503 = 3*r + 1742, 5*r - 16*d + 11*d = -65 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 33. Let c = 7 - q. Let h = -47 - c. Solve -o + h = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(11\/8)\/((b**(2\/9)\/b)\/((b*b**6*b)\/b*b)) assuming b is positive.\nAnswer: b**(599\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0459 and -25.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*(-331*u + 200*u + 2008*u).\nAnswer: -1877*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*(-3 + sqrt(275)) + sqrt(275))*-2 + 2)**2.\nAnswer: -760*sqrt(11) + 4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713476 is divided by 1555?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 19 + 6. Suppose -793 = -l*j + 4*g, -3*g + 647 = 4*j - 2*g. Suppose -8*z = -9*z + j. What are the prime factors of z?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 8, -22 = 4*t - 5*v. Which is the second biggest value? (a) 2 (b) -4\/7 (c) t (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 q when four letters picked without replacement from lqlqlll?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-1118) - (2328\/2134 - (-134)\/(-143)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22686 + -22685.8. Which is the nearest to 1\/4? (a) 3\/8 (b) -77 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/53, -1\/4, 23, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218603 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5\/2 (c) 24 (d) 52 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 0*n**2 - 2*n**2 + 32*n**3 + 2*n + 74*n**4 + n**2 - 73*n**4 to the form a*n**4 + p*n**2 + m + i*n**3 + s*n and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -35 + (-26 + 28 - -13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 102.2688us?\nAnswer: 0.1022688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69431*q**2\/4 + 1388569*q\/4 - 255 = 0. Calculate q.\nAnswer: -20, 51\/69431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -11b?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46743*n**3 + 1719*n - 1 wrt n?\nAnswer: -280458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 - (2 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2108\/(-51) - 90) + 129\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 176191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, 2, -4567 in decreasing order.\nAnswer: 2, -6, -13, -4567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -3. Let a = s + -7. Find the second derivative of -3*b - 2*b - b + b - 5*b**a wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*d - 3*d = 10, -2*m = 4*d + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b + 205. Let p be z(-10). What is the hundreds digit of 4\/10 - 24084\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let p = 0.59 + -0.09. Let n = -1 + p. What is the second smallest value in -0.2, n, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -4 + 4 + -5.\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 - 3*b - 4. What is h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a factor of 463278928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/5 + 24708*c\/5 + 320697\/5 = 0. Calculate c.\nAnswer: -8223, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 131970*b**3 - 1161204000*b**2 - 3407358812270*b - 10211629163595.\nAnswer: -5*(b + 3)*(b + 8797)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 360*z + 1989. Let a(d) = 89*d + 496. Let m(h) = 9*a(h) - 2*y(h). Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l + 2*l**2 - 5*l - 3*l**2 + 2 + l**3 - l. What is the smallest common multiple of d(2) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35281828139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(25\/(-60)*-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10 = n, -37*y + 33*y + 20 = -22*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = -2*l. Let s be (l\/(-12))\/((-3)\/28). Let k = s + 0. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m. Suppose -2*o = -g + 3, -4*o - 8 = -g + 1. Let z be q(o). Suppose -2*h + 15 - 1 = z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t\/((t\/(t\/(t\/((t*t\/(((t**(-3\/5)*t)\/t)\/t*t))\/t))))\/t)))\/t)**14*t**(3\/7)\/t**(-10) assuming t is positive.\nAnswer: t**(-909\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - 2*x**2 - 15 + 13 - 2*x. Let p(m) = 3*m + m + 0 + 3 - 3*m**2. Let j(d) = -3*p(d) - 5*r(d). Determine j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t - 8\/3*t**2 - 4\/3*t**4 + 0 - 4*t**3.\nAnswer: -4*t**2*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*37*1\/3. Suppose 22*d + 3*m + 144 = 25*d, -6*d + m = -313. Let g = o + d. Solve -4*b - 16 = 0, -3*p - g = -p + 3*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-9)\/(-21))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 1}. What is prob of sequence rt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 24. Suppose 4*z = z + 123. Suppose z = 4*n - c*n. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 1, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from dlwpljdwwwlfddl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1701 + 3239\/2. Let l = 1145\/14 + a. What is the third biggest value in -5, l, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 4*r**3)*(-2*r + 3*r - 4*r)*(-5*r + 0*r + 4*r) + 0*r**2 + 2*r**5 + 0*r**2.\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 8. Let v(b) = -32*b - 32. Let y(c) = 9*p(c) - 2*v(c). Determine y(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -14*u**2 + 23\/210*u**7 + 0*u + 0*u**3 + 0*u**4 + 0 + 0*u**6 + 11\/60*u**5. Find the third derivative of q(v) wrt v.\nAnswer: 552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 970 and 97.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59990 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 214, 208, 196, 178, 154, 124?\n\"Answer: -3*j**2 + 3*j + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 120.93 (b) -5\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oee when three letters picked without replacement from oeeoe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2 + 3*t + 37. What is the hundreds digit of c(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:45 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + 528*i**2 + 4*i - 4. Let g(k) = -4*k**2 + k - 1. What is b(l) - 4*g(l)?\nAnswer: 3*l**3 + 544*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1219365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 32*l - 57*l - 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(28\/(-12)). Let u = -106 - -105. Which is the closest to u? (a) m (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3805, -15093, -33827, -59995, -93585, -134585, -182983?\n\"Answer: 2*z**3 - 3735*z**2 - 97*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 - -7.8. Let y be 8\/12 - (-1 + 19\/15). Which is the smallest value? (a) y (b) -3 (c) 5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let p(n) = 5*n - 1. Let v = 164994 + -164993. What is the remainder when p(s) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let s(z) be the second derivative of 1\/3*z**4 - 2*z + 0 + 0*z**3 + 0*z**2. Determine s(j(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5002541215 + -1?\nAnswer: -5002541216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/2, -12, 0 in ascending order.\nAnswer: -12, -1, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571 + 613.4. Let t = -42.6 + z. Which is the closest to t? (a) -2\/7 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:29 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0844, -0.227, -0.1, 0.3?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 1 + 4. Let j be ((-45)\/12)\/(-3) + d. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14765086 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*o + 34*o + 20*o**2)*(-14 + 14 + 5*o)*(0*o + 2*o - 4*o - o + 3*o - o + (4*o - o - 5*o)*(1 - 2 + 3)).\nAnswer: -500*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 15*f - 2582. What is x(-60)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03608640502 to four dps.\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - (5 + -6 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-5)\/4*(-26)\/(-845)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y - 11. Let z(u) = 3*u**2 - 5*u - 15. Let i be z(4). Suppose 26 = -i*w + 130. What is k(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29 not equal to 104\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26450 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 26*o - 33*o + 34, r = -4*o + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**5 - 2940*k**4 - 269372*k**3 + 136896*k**2 + 135424*k = 0. What is k?\nAnswer: -184, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 630 - -882. Calculate the greatest common divisor of 30 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*n + 2245 = 1228 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15276731.\nAnswer: 83, 184057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 14. Let d = -12 - n. Which is the closest to 0.1? (a) 4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188421600 rounded to the nearest one hundred thousand?\nAnswer: -188400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 8*z + 3. Calculate j(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3. Let z(u) = u + 138. Give -6*r(k) - z(k).\nAnswer: -k - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*((-24)\/(-4))\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)*l*l*l*l*l**(-6)*((((l\/(l**(2\/7)*l))\/l*l)\/l)\/l)\/(l**(2\/9)*l) assuming l is positive.\nAnswer: l**(-883\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2228, 8948, 20156, 35852?\n\"Answer: 2244*z**2 - 12*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1505317 + -16?\nAnswer: -1505335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4104323 (base 6) in base 5?\nAnswer: -22223022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from vvvjvkkvkvfvvvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*q = 3*j + 1087*q - 25, -2*j - q + 24 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*13.\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04635999 rounded to four decimal places?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/(-35) + -5)\/(-3)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.3. Let x = -2\/5 + 9\/10. Which is the closest to x? (a) 2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32597, 32590, 32583, 32576, 32569?\n\"Answer: -7*s + 32604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -64*j + 1147. Let q be u(18). Which is the biggest value? (a) 5\/3 (b) 103 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -22\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 3. Let n(s) = -6*s - 5. Let t(v) = v**3 + 4*v**2 - 12*v - 3. Let b be t(-6). Determine b*n(d) - 5*w(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -9)*(-63)\/27. Suppose 0*m - 3*m = -4*y + q, -4*m = -y + 15. Let t be (m - 0) + 1*-2. Let w(a) = a**3 + 5*a**2 + 2. Determine w(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 - 0.42. Is 25 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2186*i**2 + 26*i + 50. Let j be n(-8). Is (j\/3)\/((-52)\/(-26)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + 17\/5. Let n be -3*1\/(-2) + (-52)\/(-104). Suppose 2*b - 4*b + 10 = 0. Sort l, n, b.\nAnswer: n, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(130))\/(sqrt(810) + (sqrt(810) - -3*sqrt(810))))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19851, -38861, -57891, -76947, -96035, -115161, -134331, -153551?\n\"Answer: -c**3 - 4*c**2 - 18991*c - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123600 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 734 and 1230918?\nAnswer: 1230918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 330601 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 8*s**2 + 14*s - 12. Let o = 32 - 23. Let u be x(o). What is the third derivative of 129*y + 13*y**2 - 129*y - u*y**2 + 22*y**4 wrt y?\nAnswer: 528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 44*s - 188. Let l(f) = 37*f - 189. Calculate 6*l(x) - 5*n(x).\nAnswer: 2*x - 194","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14533 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + a + 8 = 5*a, -5*m = -a + 2. Solve 2 = -g - m*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:20 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262287746 to the nearest integer?\nAnswer: 16195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 71.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2363 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 + 3*q**2 + 7*q - 5. Let u be b(-5). Solve 0 + 2 = -u*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 12*o**2 - o. Let f be q(-8). Suppose -g = 7*g - f. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + u)*(-1 + 0 + 0) - u - u + 7*u + u - 4*u + 0*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -96.4. Let n = 11 - s. What is the biggest value in 4, -2, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - o**3 + o**2 + 0*o**2 + 2*o**4 - 3 + 2 + 2*o as y*o**2 + i*o**3 + r*o + g + v*o**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 528 + -915. Let b be 43\/r*(2 - 0). Is b greater than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.12, 1\/2, -0.2, -8\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 31, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 13. Let q be a(13). Let w(d) = -d - 2. Let z be w(q). What is the units digit of (-4)\/z + 27 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -37 + 94 - -15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-3 - -6)) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:37 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-35)*a**(-32))\/((a\/(a**31\/a)*a)\/(a*a**42)))**(-27) assuming a is positive.\nAnswer: a**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 690645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 6*h + 16. Calculate i(9).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604665133 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: Simplify ((l**3*l*l*l**3)\/(l\/l**(-2\/7)*l*l)**(-4))\/((l\/(l**(-2\/5)\/l))**(-4\/19))**(-2) assuming l is positive.\nAnswer: l**(13388\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-62)\/(-558) - 2\/18) + -1)*-31853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27838, 27968, 28098, 28228?\n\"Answer: 130*d + 27708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5106 and 2829.\nAnswer: 209346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/55 and 39\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 + -0.1675?\nAnswer: 1.9325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 3 + a**2 + a**2 - a**2. Determine b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:06 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 30*x**2 - 102*x - 144. What is h(26)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3884541 and 120.\nAnswer: 466144920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**5 + 58*r**2 - 58*r**2 + (-2 + 2 + 1)*(-3*r**5 + 2*r**5 + 0*r**5) - r**5 - 4*r**5 + 4*r**5 - 2*r**2 + 2*r**5 + 2*r**2.\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (sqrt(99)\/(sqrt(55)\/sqrt(5)) + sqrt(9) - sqrt(27)\/sqrt(3)*2)\/(-1*(sqrt(30) - sqrt(30)*3)\/sqrt(10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/10 + 38*j**3\/15 + 41*j**2\/5 + 42*j\/5 + 49. Determine w, given that y(w) = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m - 104. Determine i(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20b6e (base 15) in base 16?\nAnswer: 19595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240404506 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 157, 234, 311, 388?\n\"Answer: 77*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j**2. Let l(w) = -13*w**2. Determine l(r(h)).\nAnswer: -8125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*m**3 + 753*m**3 + 693*m**3 - 3021*m**3 + 836*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18989076*c - 9494596*c - 9494478*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 301457*s**2\/3 - 56647408*s\/3 - 887337628.\nAnswer: -(s + 94)**2*(s + 301269)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1676168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 3*o**3 + 5*o**3)*(3 - o - 3) - o**4 + 2*o**4 - 3*o**4 - 8.\nAnswer: -3*o**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222183038 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, t: 2, s: 6}. Give prob of picking 2 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 - 273*h**3 + 0*h + h - 2*h + 13*h**3 - 49 wrt h?\nAnswer: -1566*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2 + (-30)\/(-12))*-8. What is the greatest common factor of 6 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3 - d**2\/2 + 26*d. Let h = -818 - -819. What is c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2)*(-2 + 2 + 2) + c - 1 + 1 - 35123 + 35123 + 108*c + 0*c + 2*c - c + (-3 - 3 + 7)*(7*c + 5*c - 6*c).\nAnswer: 112*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244483635 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 188.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 less than or equal to 4100\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*o + 64 = 0, 2*k - 3*o - 57 = -0*o. Let y(u) = -u**3 + 31*u**2 - 28*u - 56. Let a be y(k). Solve 5*v + 1 = v - l, a*l + 20 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18632470377 - 0.\nAnswer: -18632470377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16950, -16953, -16920, -16845, -16722, -16545, -16308, -16005?\nAnswer: -15630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-215)\/125 + 2)\/(229\/1145)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 4*k + 2. Let a be l(-1). Let g be (4 - 2)*(a + 183\/6). Let y = g - 62. Solve -y*h - 7 = 4*q, 26 = 5*h - 5*q - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28795.52ml to litres.\nAnswer: 28.79552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-17)\/(-3))\/((-23)\/(-69)). Calculate the highest common divisor of k and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -3*v. Factor 5*o**2 - 4*o**v - o - 2*o**2 + 5*o**3 + 1 - 4*o**2.\nAnswer: (o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509487.\nAnswer: 7, 223, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*4*sqrt(180)\/(-1*sqrt(6)))\/(-6*((sqrt(126)*5)\/sqrt(7))\/sqrt(3)))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-29))**(2\/11) assuming q is positive.\nAnswer: q**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -385285, -385249, -385213?\n\"Answer: 36*p - 385321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/3 - 509362*q**3\/9 - 4414052*q**2\/9 - 905440*q\/3 = 0?\nAnswer: -84885, -8, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16581 - 24595 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -21*i + 2. Let k be z(-2). Calculate the greatest common factor of k and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18334?\nAnswer: 2, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 816575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 5*n. Let p(c) = 2*c**2 + 4*c. Let v(t) = -4*o(t) - 5*p(t). Let m(z) = 3*z. Let g(j) = j. Let i(d) = 5*g(d) - 3*m(d). Calculate i(v(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 99015 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - ((2 + sqrt(242) - sqrt(242)) + sqrt(242) - sqrt(242)))**2*4*-3.\nAnswer: -2952 + 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Which is bigger: o or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 10*t**2 + 8*t - 3. Let v be j(9). Let n = v + 17. Do n and 5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34042 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -460, -3546, -11898, -28150, -54936?\n\"Answer: -439*o**3 + o**2 - 16*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - 5*(-32 + 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/7 - 54*t**2\/7 + 204864*t\/7 - 23479808\/7 = 0.\nAnswer: -379, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/20)\/(21\/15). Let z = 1.8 + -0.8. Which is the closest to z? (a) 3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2967, -2989, -3011, -3033, -3055, -3077?\n\"Answer: -22*g - 2945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*o + 102756 = 0, -2*o - 102759 = -104*d + 103*d. Is d 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 2:05 PM and 9:57 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from qqyvq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276569 is divided by 27654?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 415280 and 39875.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -254*c + 4510. Calculate t(28).\nAnswer: -2602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 + 127. Let u(v) = v**2 + 3*v - 1. Let a be u(-4). Put a, k, 2 in decreasing order.\nAnswer: k, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + 0.72. Let i = c - 1.5. Sort -2\/15, i, 5 in decreasing order.\nAnswer: 5, -2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-31)\/5. Let p be ((-524)\/k)\/((-6)\/(-9)). Let f = 349 - p. Round f to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1006699206 and 4044?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -53, -2966, -5, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-10)*-10*18\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 0*t**3 + t**3 - 6*t - t + 8*t to the form s*t**2 + f*t + l + n*t**3 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 737505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -1\/5, -1, 1463, -20, 4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934930 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5893248 and 216300?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 6 = -0. Put 22, 4, c, 0 in decreasing order.\nAnswer: 22, 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 21 + 2*o**2 + 11 + (-1 + 1 - 2)*(-2*o + 2*o**2 + 2*o)*(0 - 1 - 1)*(4 + 3 - 5) + 2*o**2 - 3*o**2 + 3*o**2.\nAnswer: 20*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3. Let i = -215 + 211. Let f(j) = -j**3 + j**2 - j - 2. Let w(g) = 4*g**3 - 5*g**2 + 4. Let l(t) = -2*f(t) - w(t). Calculate i*m(r) - l(r).\nAnswer: -2*r**3 - 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -10100100?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 - (-6)\/(-4). Let o = -0.75 - 4.25. Which is the closest to q? (a) -1\/5 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5870*m. Let t(j) = -j**2 - 5. Calculate q(t(w)).\nAnswer: 5870*w**2 + 29350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*v - 15. Suppose -s - v*q = 3*s + 6, -3*q - 6 = 0. Which is the third biggest value? (a) 7 (b) 2\/19 (c) s (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48103 is divided by 24049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/91)\/((-43)\/((-903)\/(-6))).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*x = 2268 + 3147, -4*x + 4372 = 4*o. What is the greatest common factor of 34 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3518164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-6)*x**(-17))**(-1) assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(170) + sqrt(170)*1 + sqrt(170) + sqrt(170))\/sqrt(10) - sqrt(17)) + 1 + 3.\nAnswer: -12*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*v + 28 = -1492*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*6\/(-4). Let h(n) be the first derivative of 3*n**4\/4 + n**3\/3 + 2*n + 5169. Calculate h(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.46432 litres?\nAnswer: 85464.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 146 and -6883?\nAnswer: 7029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17434 (base 10) in base 11?\nAnswer: 1210a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4384c (base 13) to base 12.\nAnswer: -5a8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*(1 + 0) + -19 + 21 + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(0 - (-6)\/(-15)). Suppose 13 = 2*n - b, -2*n - 2*n = -3*b - 27. Sort t, n, 1 in decreasing order.\nAnswer: n, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o**2 + 280*o + 4. Let s(m) = m**3 + 15*m**2 + 284*m + 5. Let k(f) = 4*s(f) - 5*v(f). Factor k(i).\nAnswer: 4*i*(i - 11)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260, 302, 3468, 11062, 24908, 46830, 78652, 122198?\n\"Answer: 304*f**3 - 522*f**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518770 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1773347 divided by -133.\nAnswer: 1773347\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -7. Let i = 3 - r. Let p = 39.4 + -39.3. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-1872)\/(-377))*5*((-240)\/(-25))\/6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (6 + 90 + -35)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3056760 and 91665.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 179*w**2 - 967*w - 37. Calculate x(5).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60191661 by -2589.\nAnswer: 23249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 8. Suppose -4*b + 1 + 15 = 0. Let n(y) = 5*y + 9. Let i(m) = b*d(m) + 3*n(m). What is the units digit of i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*x + 1117, -2*t - 1448 = -4*x + 3*t. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 2, o: 1}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13686853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*m, 2*m + 8 = j + m. Sort 1, -2, j, 0.03.\nAnswer: -2, 0.03, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 22*z**4 - 16*z**3 + 102*z**2 - 63*z.\nAnswer: -z*(z - 1)**2*(z + 3)*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bfdfddeenzffddnneeff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 11*r**3 - 14*r**3)*(3*r**2 - 2*r**2 + r**2 + (-3*r + 3*r - r**2)*(-2 - 1 + 1) - r**2 + 4 - 4 - r + r + r**2 - 2*r**2 - 2*r**2 + 3*r**2).\nAnswer: -9*r**5 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/4 + 7*r**3\/3 + 10*r**2 - 5*r + 131. Determine h(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 36.1. Let l = w + 5. Which is the closest to l? (a) -0.1 (b) 1\/6 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qclqlcqqcp. Give prob of picking 1 p and 2 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -3 + sqrt(325) + -2*sqrt(325) + sqrt(325) + sqrt(325))**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 11*a + 20. Let l be j(9). What is the third derivative of -15 + 377*z**4 + 47*z**6 + z**5 - 377*z**4 + 0*z**2 + 2*z**l wrt z?\nAnswer: 5640*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 407, -4, -528, -1, -4\/5, -5 in ascending order.\nAnswer: -528, -5, -4, -1, -4\/5, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.19451819 rounded to three decimal places?\nAnswer: 3.195","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31542349, -126169381, -283881099, -504677503, -788558593, -1135524369, -1545574831?\nAnswer: -2018709979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846 and 72126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25079060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1539940, 1540148, 1540356, 1540564?\nAnswer: 1540772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 17*a + 11. Let c be u(-11). Let j = c + 59. Solve -i = -j*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8 and 59\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 42*b - 359. Give y(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-16 - -33) - (-10 - (-3 + 1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 185*d**7\/42 + 79*d**3\/6 + 13*d + 6. Find the second derivative of y(p) wrt p.\nAnswer: 3700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152297*s**2 + 304555*s**2 - 152261*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 20*s + 19. Calculate d(10).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 219*j + 5. Suppose -8 = 104*c - 108*c. List the prime factors of v(c).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (1086\/(-75) + 14)*745*-6. Is i at least as big as 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 5*u + 13. Let w(q) = -3*q**2 - 11*q - 25. Let c(p) = 5*k(p) + 3*w(p). What is c(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 81 = 91 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((11 - 1 - 11) + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1510 - 4?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14834 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1377*b + 2540*b + 128 + b**2 - 618 - 43*b with respect to b.\nAnswer: 2*b + 3874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - 2) + 1)\/((-3)\/(-111)). Let g = l + -35. Suppose 0 = -2*o - 2*o. Solve 2*k + 3*k = d, o = -g*d + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/10 + -3)\/(976\/305)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**2 + 1. Suppose 0 = -4*b - 4*c + 4, 10*c - 1 = -b + 6*c. Determine g(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -30*r**2 + 73*r - 16. Give a(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*o - 132 = 1084*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4\/11, 3, -5, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 29*k**2 + 8*k + 2439. Let v be z(25). Let t = 4.8 + -5. Which is the fourth biggest value? (a) 3 (b) t (c) v (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:47 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (5 - (-2 + -2)). Suppose 0 = t*v - 102 - 3898. What is the lowest common multiple of v and 35?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + 8 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1476 and 67\/28?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12864*c + 3*b = -12859*c + 52, -20 = -4*c - 2*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19593 - 3130?\nAnswer: -22723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065502704 rounded to 7 decimal places?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m + 237466 - 238605 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*2)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*j**3 - 29*j**3 - 4*j**3 + (3 + 1 - 6)*(3*j**3 + 0*j**3 - 5*j**3) - 2*j**3 - 3*j**2 + 3*j**2.\nAnswer: -57*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 6:00 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -48. Which is the second biggest value? (a) 1\/3 (b) o (c) 0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 81 = 4 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i - 248*i + 107*i + 106*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (6 - -10) + 44 + (-8 - (-5 + 2))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29480 + 29507. What is the closest to 3 in 2, -2\/3, k, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*q - 12, -83*g - 4*q = 25889 - 26138 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (172\/14)\/(15\/201). Let o = m + -796\/5. Calculate the common denominator of 51\/10 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**3 - 448*h - 5 + 10 + 7*h**3 - 928*h - 3 to the form x*h**2 + s + f*h**3 + v*h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -117. Let k be h\/(-22) + -3 - 10\/(-5). Which is the closest to 0.1? (a) k (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1939462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = -2*b + 29. Let f = b - -332. Solve 2*r = -0*x + f*x - 18, 0 = -3*r + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-6) - 3) + 1)\/(126\/2856)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - 6751410768.\nAnswer: -6751410767.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 113695546005.\nAnswer: 113695546004.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6359 + -2038. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/8 + (-1494)\/(-12). Suppose v + 41 = 3*m, -72 = -m - 4*m - 2*v. Calculate the highest common factor of m and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**3 - 6*m**2 - 6*m + 4. Suppose 12*h - 15*h = -3*c - 9, -3*h + 19 = -5*c. Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553153.\nAnswer: 553153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 z, and 1 d when four letters picked without replacement from efudzzuduzuzzzzd?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*k*v**2 - 3*k*v + 119661*k - 4672*v**2 + 11416*v - 2 with respect to k.\nAnswer: -49*v**2 - 3*v + 119661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 59. Suppose 33*j**2 + w*j**4 - 12*j**5 - 6*j + 5*j**3 - 62*j**3 + 3*j**5 = 0. What is j?\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 51.00425?\nAnswer: -255.02125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 242 + 346 = 0. Let n(v) = 8*v. Let i be n(6). What is the highest common factor of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 8*o + 21. Calculate n(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -a - 2*a - 60, 158 = 3*p + 2*a. Let z = 72 + 4. Suppose 8 = 6*u - z. Calculate the remainder when p is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/2025)\/(3\/(-5)))\/((-158)\/(-395))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7486, -29783, -66944, -118969, -185858?\n\"Answer: -7432*h**2 - h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 15) in base 8?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 - 33*b**2 - 6*b + 13. What is the remainder when n(-10) is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 3*v - 14. Suppose 0 = -2*s - 39 + 47. Let a be b(s). Calculate the highest common factor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 135*m**3 + 950*m**2 + 1320*m.\nAnswer: -5*m*(m - 33)*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.8219697 to two decimal places.\nAnswer: 49.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Suppose -t*w + w - 156 = 0. What are the prime factors of w\/(-3) - 1\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.07405l in millilitres?\nAnswer: 6074.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 52. Let p = -32 + i. What is the common denominator of ((-124)\/(-144))\/((p\/(-2))\/5) and -47\/11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.74 + -9.54. Let y = l + 6.84. Let v = y + -0.04. Which is the closest to v? (a) 1\/4 (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0129 + -0.0871. Let w = -1\/57 - 46\/627. Which is the second smallest value? (a) -3 (b) q (c) w (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 3*x - 2. Let s be b(0). Let w(z) = -4*z + 22 - 2 - 12 - 4. Let c(r) = -r**2 - 13*r + 13. Determine s*c(n) + 7*w(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*o + 132*o**2 + 0.\nAnswer: 132*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(108)).\nAnswer: -24*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 + 419*r**4 - 2022*r wrt r?\nAnswer: -60*r**3 + 5028*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333367318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 0) + -48 + -11 + 73.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-441)\/(-21))\/(-42)*-4*(-2)\/76.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5395021*q + 2697503*q + 2697515*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, q: 2, h: 2, a: 5, w: 1}. What is prob of sequence awm?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -8 (c) -0.4 (d) 5626\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + -17 + 83 + 0 + 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:44 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34092943, 34092926, 34092909, 34092892?\n\"Answer: -17*i + 34092960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plldelpdpcpld. What is prob of sequence ledl?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 l when four letters picked without replacement from {u: 1, r: 5, l: 13, b: 1}.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {i: 2, g: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128*h - 247 = 2109*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-8)\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**3 - 7*t**2 - 13*t + 7. Let r(u) = 12*u**3 - 5*u**2 - 9*u + 5. What is 5*n(h) - 7*r(h)?\nAnswer: 6*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2814677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 5. Let f(j) = 170*j - 85*j - 80*j - 5. What is 4*f(k) - 3*z(k)?\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 - 268 = -215*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2118*a + 2169*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 15) to base 5\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 34 + 2 = 0. Let d(y) = -y - 2. Let s be d(-2). Suppose -2*f + s*f - i = 0. Which is the second smallest value? (a) -5 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q - 12. Let a be s(15). Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 29 - 5 = 0. Solve -7*w + 5 = -n*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3885\/(-315)*810\/(-193140).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054*q**3 + 8 - 21 - 8 + 21.\nAnswer: -1054*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 825 + -485. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - v = 4*u - 3*v, 5*u + 2*v - v - 18 = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + -4 + -5 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**7\/12600 - f**6\/360 - 2*f**5\/75 + 55*f**4\/24 - 2*f**2 - 87. Let r(o) be the second derivative of w(o). Factor r(k).\nAnswer: -(k + 2)*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 41945?\nAnswer: -2139195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -26, 240, 532, 856?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -512, -423, -336, -251, -168, -87?\n\"Answer: -d**2 + 92*d - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 + 4*q**3\/3 - 5*q**2\/2 - 2*q. Let x be f(-9). Suppose -x*y + 240 = y. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -31, 4.\nAnswer: -31, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46620? (a) 2 (b) 2\/9 (c) 1\/3 (d) 0.5 (e) 0.04 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**2 - 7*k + 2. Let s(d) be the third derivative of -d**4\/12 - 2618*d**2. What is u(s(a))?\nAnswer: -60*a**2 + 14*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 1.1. Let b = -0.9 + o. Sort b, -0.5, -0.4 in increasing order.\nAnswer: -0.5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294.739 millilitres in litres?\nAnswer: 1.294739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.3, -352, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 10. Let g be c(-10). Suppose g = -5*l - 23586 + 179241. Suppose -2*b = -180869 - l. What is b rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 (base 11) in base 7?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -109\/7475 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 143*i**3 + 26*i**2 + 117*i. Let a(h) = 16*h**3 + 3*h**2 + 13*h. Let f(n) = -26*a(n) + 3*c(n). What is the second derivative of f(q) wrt q?\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)\/(3\/3). Let l(i) = -7*i**2 - 2*i - 2. Let r be l(-1). Let j be (-2)\/r + 534\/42. Solve w = -4*z - b*w + j, 4*w - 14 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817600 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 + 409. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 854.1257 * 14.\nAnswer: 11957.7598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/9100844 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273\/5 or 55?\nAnswer: 273\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13936 or -2510?\nAnswer: 13936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -11*p**4\/8 + p**2\/2 - 9. Let j(u) be the second derivative of z(u). Let y(b) = -b. Determine j(y(c)).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3143, 3347, 3555, 3767?\nAnswer: 3983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n + 10. Which is the nearest to -2\/3? (a) -4 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4 + 32*o**3 + 40*o**2 - 32*o - 36 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95518, -95512, -95506, -95500, -95494, -95488?\nAnswer: -95482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 45) + 81 + -152\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34.7+-268.133543\nAnswer: -302.833543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4 - 7)\/(-6) + 0)*36. Are 22 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -89*i**2 + 29*i + 1. Let j(d) = -44*d**2 + 14*d + 1. Let b(v) = -5*j(v) + 3*u(v). Let c(h) be the first derivative of b(h). Is c(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 + s + 2. Let m(q) = q**2. Let p be (4*1\/2)\/2. Determine p*m(z) + a(z).\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.99999975 - 13. What is j rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v + 0*v**6 - 1\/3*v**3 + 0 - 17\/210*v**7 + 1\/30*v**5 + 43*v**2 + 15\/8*v**4. Find the second derivative of o(h) wrt h.\nAnswer: -204*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {s: 2, z: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 2*m)*(-149*m + 163*m - 88*m).\nAnswer: -148*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 128\/3. What is the biggest value in o, 5, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.59 + 9.59. Which is the nearest to -1? (a) u (b) -0.3 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 3. Let a(s) = s + 1. Let u(g) = 2*a(g) + d(g). Let x be (4\/(-3))\/(24\/252). Let q(l) = 8*l - 14. Determine x*u(v) - 5*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 80*u - 154. Let b be d(2). Let x = 1.96 + -0.06. Let c = x + 6.1. What is the nearest to c in -1, 5\/2, b?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 2. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -69*r**3 - 3*r**2 - 2*r - 4. Let u(w) = -w**2 - 3*w + 3. Let d be u(-3). Let a be q(d). What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*f - 27 = 0, 0 = 7*y - 3*y + 2*f - 138. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:27 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8 + t - 6 + 17. Let m = 92 - 106. Calculate the remainder when 18 is divided by l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8\/j*j*j\/(((j**28\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bc0 (base 13) in base 5?\nAnswer: 113322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 1520888199.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5) - 0)\/(1701\/(-405))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2681, 5363, 8043, 10721, 13397?\n\"Answer: -m**2 + 2685*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25802550 divided by -8310.\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 10*o**4\/7 - 124*o**3\/7 + 16*o**2 + 444*o\/7 + 198\/7 = 0?\nAnswer: -1, -3\/5, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 20*w + 53 = 98, -3*w + 6 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/2 - 688931*h**3 + 4133604*h**2 = 0.\nAnswer: -1377868, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32389 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: What is the second derivative of 206*q**2*s**2 + 23*q**2*s*w + 2*q*s**2*w - 563*q*s*w - 7*s**2*w wrt s?\nAnswer: 412*q**2 + 4*q*w - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3100032 - -121?\nAnswer: -3066611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - (63\/6)\/((-36)\/240) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/(-1275))\/((-1)\/(-18))*15*1\/117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/1710)\/((-18)\/54)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l + 20. Let x be l\/2 - (-1 - -1 - 25). Suppose 17*a - x*a + 384 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18183 is divided by 863.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = 3*p. Let q be (-2)\/(-42) - (-2)\/p. Let u = 0.245 + 0.055. What is the third smallest value in -5, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 - 10) + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/3 - 3)\/(18\/(-9)). Solve g = 8*s - 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7832 is divided by 2606?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-8) + 5 - (-125)\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6026 - 32732 = -804*c + 27162. Let r = -14 - -36. Calculate the remainder when c is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418716.\nAnswer: 2, 3, 107, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 63*q + 12. Let d(r) = 2*r + 1. Let k(p) = 132*d(p) - 4*s(p). Let g be k(-7). Solve 3*l + 12 - 6 = g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 7. Let j(a) be the first derivative of -a**4\/4 + a**3 + a**2 - 4*a + 3. Let r be j(f). Solve 3*w + r + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - -2)*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let a = m + -3. Sort 3\/5, -2\/11, a.\nAnswer: -2\/11, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 117507.\nAnswer: 117507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8564 + 42733 - 8541 - 8533 - 8531 - 8531 + 2*o.\nAnswer: 2*o + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*n**2 + 37868015*n + 10819430.\nAnswer: 5*(n + 1081943)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3 - 3 + 5*v - 5*v - 3*v + (-2 + 2 - 5*v)*(-3 - 1 + 2))*(-1 + 1 - 1).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**6\/6 + y**3\/6 + 17*y**2 - 77*y + 45. Let v(i) be the first derivative of h(i). Find the second derivative of v(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/7075500 and -57\/92750.\nAnswer: 49528500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (622 - 0) + -3 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {i: 2, p: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -258?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 968 + -4781\/5. Let v = 1 + 0. Calculate the common denominator of y and (-48)\/(-9) + (v - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/108 (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 6) in base 8?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213\/182 + 70831\/728. Let q = -101 + z. Find the common denominator of q and -26\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4 - 2*h**3 + 31061*h*o - 943695*o wrt h?\nAnswer: 8*h**3 - 6*h**2 + 31061*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 30650. Let b be n(0). Let h = b + -20040. Suppose 2*q - 811 + 11416 = f, 0 = 2*q - 2*f + h. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-324) + (-83)\/(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*l + l + 6 = 0, 5*b - 3*l - 9 = 0. Suppose 19 - 1 = b*t. What is the third derivative of 23*w**t - 2539*w**3 + 2539*w**3 - 3*w**2 wrt w?\nAnswer: 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(162)*3 + sqrt(162)))\/(sqrt(6) + (sqrt(6) - sqrt(12)\/sqrt(2))*3 + -1*sqrt(600)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-982)\/(-130) + 170\/(-425) - 6\/(-195)*-5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:37 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -93, -190, -327, -510, -745?\n\"Answer: -j**3 - 11*j**2 - 23*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 275392000*m**2 - 632842006 wrt m.\nAnswer: 550784000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 1336*z**4 - 25644*z**3 - 29152336*z**2 - 288123760*z - 258998400 = 0. What is z?\nAnswer: -230, -9, -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 + -237. Let t be 9\/54 + (-31)\/6. Let j = 43\/3 - 13. Which is the third smallest value? (a) x (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/((i*i**(2\/17))\/i))**(-2\/171)*(i**0)**(-2\/31)*i**(3\/5)*i*i**(-1) assuming i is positive.\nAnswer: i**(17737\/29070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*a = -11, 0 = 3*i - 4*i - 5*a. Suppose 5*z - 85 - 41 = -4*s, -2*s - 28 = -z. Let y = -0.8 - 1.2. What is the second smallest value in y, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38022 and -0.2295361513.\nAnswer: 38021.7704638487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqr when three letters picked without replacement from {n: 2, r: 3, q: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348572 (base 9) to base 3.\nAnswer: -101122122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.399 to two decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 623952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/h**(3\/8)*(h**(-2)\/h)\/(h*h*(h**(1\/4)*h)\/h)*((h*(h**(-8\/3)*h)\/h*h*h)\/h**(-2\/11))**25 assuming h is positive.\nAnswer: h**(1651\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-756)*9)\/((-4)\/(-132)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 320*d + 3047. Determine b(169).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 74*q**2 + 64*q - 5393. Calculate a(-72).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6338181?\nAnswer: 3, 2112727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 - -3269790.68525?\nAnswer: 3269791.62525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**3 - 16*g**2 + 12*g - 6. Let q(a) = 41*a**3 + 32*a**2 - 26*a + 13. Calculate -6*q(r) - 13*z(r).\nAnswer: 27*r**3 + 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*i + 75 = 0, 4*p + 4*i = 2*i + 30. Let r be (0 + 2 - 0) + -1. Calculate the lowest common multiple of p and r*(4 - (0 - 4)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e9b (base 15) in base 14?\nAnswer: 12b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 2880*s**3 + 622080*s**2 - 59719680*s + 2149908480.\nAnswer: 5*(s - 144)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18 and (-10 - -9) + 113\/(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 778, 6197, 20844, 49309, 96182, 166053, 263512, 393149?\n\"Answer: 765*k**3 + 24*k**2 - 8*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 2 - (572\/(-287) - 1). Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let r(c) = -72*c**2 - 367*c - 3. Determine d(r(t)).\nAnswer: -72*t**2 - 367*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.8. Let q = -10 + 9.2. Let j = n - q. Which is the second biggest value? (a) 4 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1388072209 and 2.\nAnswer: -1388072207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-159)\/190)\/(14\/(-5)). Let u = a + -1\/76. What is the nearest to u in -0.3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-15)*28\/(-7)*185\/(-296).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 13. Let v be m(13). Let h(x) be the first derivative of -x**3\/3 - 2*x**2 + 5*x - 2. Let f be h(-4). Solve v*a = -a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 59. Let z be 0\/1 - (-1 + 1). Suppose -y - 3*y - 14 = -t, z = -5*t - 5*y - 5. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l + 28, 17 = -o + 5*l. List the prime factors of (3 + o - 5)*296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*g**2 + 1770*g - 522150 = 0 for g.\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - 18*w**3 - 9*w + 5*w - 3*w**3 + 2 to j*w**3 + t*w**2 + a*w + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k + 1. Let j(w) be the first derivative of 7*w**4\/4 + 3*w**2 - 5*w - 17. Let i(r) = -j(r) - 6*y(r). Find the first derivative of i(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.9 - 14.3. Sort 1\/2, 1, 3, f in decreasing order.\nAnswer: 3, 1, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 2*i - 23, -3*i - 12 = -2*l. Let x be l\/5 - (-4)\/20. Let u(p) = 0*p**2 + 5*p**2 + 0*p**x - 2*p**2. Let s(v) = -v. Give u(s(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let u(d) = -d**2 + 1. Suppose -m + 4*m = 0. Let q be u(m). Which is greater: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -52.894. Let z = q + 7.106. Let h = 7.075 - z. Round h to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*i + 765, -4*i - 439 = 3*g + 23. Let o be (g\/20)\/(6\/(-4)). Solve 8 = -o*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 9*n + 10*n + 3*n + 322*n**3 - 131*n**3.\nAnswer: 191*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15388012 - -10?\nAnswer: -15388002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p + 38. Suppose -3*c + 10*a = 27, -c + 3*a - 4 = 5. What is x(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:10 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.89 in -5, -6\/5, -1095, 3\/2, 4\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*r - 8*r**3 + 159*r + 6*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 318, 13, 513 in decreasing order.\nAnswer: 513, 318, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*d**2 + 57*d**2 + 25*d**2 - d**2 + 3 - 3 + 1 - 2*d**2 - 1 + (0*d - d + 0*d)*(-d + 7*d - 4*d) + 3 - 2*d**2 - 3 in the form k*d**2 + o + v*d and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/5828112 and -101\/64.\nAnswer: 23312448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8870 is divided by 930?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 16*y + 22. Let n be 3*(3 - 174\/18) + 5. Give f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1014\/18 - -1)\/((-18)\/(-189))?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -919027261\/27 + 34034216. Let n = y + 3830. What is the common denominator of 32\/15 and n?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 - -183. Let g = 1879232\/15 + -125198. Let l = g + v. Which is the fourth smallest value? (a) 5 (b) -0.1 (c) 0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l + 13 = t, -5*t + l = -41. Does 6 divide (-57)\/76 + -2 + 950\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -1, 86, 983, -2 in decreasing order.\nAnswer: 983, 86, 10, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 15*f - 4. Calculate the remainder when 5 is divided by j(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**6\/160 - z**5\/80 + 3*z**2\/2 + 3. Let w(m) be the second derivative of u(m). Factor w(v).\nAnswer: 3*v**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39306 is divided by 12687.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p\/p**12)*p*p**13)**(-2\/21) assuming p is positive.\nAnswer: p**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 11, h: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (-5 - (9 + -31 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/204)\/((-38 + 27)\/44)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1992 and 0.3.\nAnswer: -597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/7)\/(a*a**(-9))*(a**2\/a)**(7\/4) assuming a is positive.\nAnswer: a**(253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 115.26977 - -19.1\nAnswer: 134.36977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 7*t - 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - x - 2 = 0, x + 3 = -5*r + 1. Suppose -s - 32 - 20 = -2*l, l - 3*s - 31 = r. Let v be (-33)\/(-5) - (-10)\/l. Solve -v - 13 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15266229421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:14 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {z: 1, w: 5, h: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 2. Suppose -9*k = 5 + 31. Let s(o) = -2*o + 1. Determine k*s(t) - 3*g(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 441. Let q(s) = s**2 - 2*s + 1. Give -q(t) - z(t).\nAnswer: -t**2 + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4*q**2 + 79*i**4 - 4*i + 21*q**2 + 3*q wrt i.\nAnswer: 36*i**2*q**2 + 948*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20 - 33 + 5*h**2 + 13. Let n(l) = -3*l**2 + l - 1. Let r(w) = w**2 - w + 1. Let v(a) = -n(a) - r(a). Calculate b(v(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**11\/13860 - j**7\/630 + j**4\/6 + j**2. Let a(n) be the second derivative of h(n). Find the third derivative of a(g) wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -2. Let y = -9 + g. Solve 0 = -n + y*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -4, -6, -10, -16?\n\"Answer: -l**2 + 3*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6801 divided by -36?\nAnswer: 2267\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*n**3*v**2 + 3485*n**3 + n**2*v**3 - 172*n*v**3 - 2*n*v**2 - 373*n wrt n?\nAnswer: 228*n*v**2 + 20910*n + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 70.43. Let h = 50 - 50.37. Let u = h - g. Which is the third biggest value? (a) -0.06 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/15 + 161596*g**3\/15 - 1087945062*g**2\/5 - 4352642136*g\/5 = 0.\nAnswer: -4, 0, 40401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = d. Suppose 251*l - 499*l = -251*l - 33. What is the nearest to -2\/9 in d, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*w - 10131 = -693*w + 3403*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*i**2*v**4 + 42*i**2 - 9*v**5 - 296*v**2 wrt v.\nAnswer: 4728*i**2*v - 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 50690.03?\nAnswer: -2585191.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 13*d**2 + 17*d + 59333. Is f(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 5\/5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 7*i**2 + 3*i + 2. Let o(p) = -3*p**3 - 15*p**2 + 7*p + 5. Suppose 42 = 43*a - 57*a. Calculate a*o(g) + 7*r(g).\nAnswer: 2*g**3 - 4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4246*v - 1. Let k(i) = 331*i. What is y(k(q))?\nAnswer: -1405426*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 12. Let m = -37 + 91. What is the greatest common factor of m and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -57*q + 2122. Let x be y(37). Which is the closest to x? (a) 4 (b) -2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1726 by -632.\nAnswer: -863\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1126*m = 1123*m + 6, -6*m = -4*m + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348648 and 20736?\nAnswer: 301231872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 478\/841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5216 + -2244. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 + 2*w - 5. Let s be y(5). Suppose 0*z - s*z + 41 = x, 124 = 5*x - 2*z. What is the lowest common multiple of x and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -17*v + 27*v. Which is the closest to 0.1? (a) 2\/3 (b) -0.1 (c) v (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 18 + 5 = -u, -2*u + 3*t = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let k(s) = -2*s. Let q(n) = 2*n**3 + 5*n**2 - n + 4. Let i be q(-3). Let j(c) = i*l(c) - 2*k(c). Let u(z) = -42*z. What is j(u(w))?\nAnswer: -84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/128 and -49\/2224?\nAnswer: 17792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -34*f - 1. Let m(y) = y**2 + 25*y - 307. Let n be m(-34). Determine s(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1816794 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -6163.\nAnswer: 4\/6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867522, -1734998, -2602474, -3469950, -4337426, -5204902?\nAnswer: -6072378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.02 + 1.62. Let t = 0 + 0.1. Put t, j, -2 in descending order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -437*d - 28383. Determine u(-65).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 2*l. Let z(r) be the second derivative of r**4\/4 + 7*r**3\/6 - 4*r. Give -7*g(j) - 2*z(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130*o + 30447 = -5928*o + 2160*o + 130365 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10)\/((-2*(-9)\/(-84))\/((-1449)\/(-3381)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - 4*p)*(50*p - 123*p - 26 + 65*p).\nAnswer: 16*p**2 + 52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115\/8078 - -191475953\/64624. Let r = y - 2964. Find the common denominator of 53\/2 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 16627?\nAnswer: 16628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 14. Suppose x + 15 = 4*w, -4*x - 3*w - 22 = -0*x. Let o be (-2 - -16)*6\/x. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 t when four letters picked without replacement from {q: 3, e: 2, t: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 103*b + 106 - 148 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -537\/7. Let g = -12 - -10. Let t be ((-5)\/(-10))\/((-1)\/g). What is the nearest to t in 2\/13, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 8*a + 9. Let k be 16\/12 + (-16)\/3. Let g = k - -11. Let t be f(g). Solve -4*v + 3 = -v + 3*m, v = -t*m + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-183 - -195) + 3 + -8 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-33)\/(-22)). What is the third biggest value in m, -5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 4, 1, 128, -8\/9 in decreasing order.\nAnswer: 128, 4, 1, -4\/9, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1.89151.\nAnswer: -0.756604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 12*b**2 + 12*b - 13. Let g be m(-4). Calculate the remainder when 996 is divided by (7\/g - 2)\/((-16)\/(-5328)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 45*n**2 + 60*n - 168. Let l(w) = w**3 - 18*w**2 - 24*w + 67. Let o(m) = -5*b(m) - 12*l(m). Factor o(y).\nAnswer: 3*(y - 3)*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*3*4 - (sqrt(272) + ((sqrt(272) - 4*sqrt(272)) + sqrt(272) + sqrt(272) - sqrt(272)) + 5) - (-4 + -6*(-2 + sqrt(272)))*-2)**2 + -3.\nAnswer: 88*sqrt(17) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53054125860 rounded to the nearest one million?\nAnswer: -53054000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.343? (a) 0 (b) 60\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (403\/(89063\/136))\/(-2*(-1)\/26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51673357213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - i**2 + 66*i - 22. Let x(d) = 2*d**3 + 35*d - 12. Determine -4*k(o) + 7*x(o).\nAnswer: 2*o**3 + 4*o**2 - 19*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 6. Let w be s(-5). Let i be w\/(-2)*-2*23. Let x = i + 24. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 1 + 6*p**3 - 1.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(-3*sqrt(294) + sqrt(294)))**2 + (1*(1 + sqrt(3)) - 2*sqrt(3)*6))*1.\nAnswer: -11*sqrt(3) + 199\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 + 6*c - 8. Let v be j(4). Suppose 5*t - 8*w + 5*w = 2, 4*t - 8 = -4*w. Solve v = -5*q + 6*q + t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**5 - 19*l**3\/3 - 3. Find the third derivative of g(t) wrt t.\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 65930?\nAnswer: 461510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/24 + (-18)\/48. Let o(n) be the second derivative of y*n**2 + 3*n + 0*n**5 + 0*n**4 - 1\/30*n**6 + n**3 + 0. Find the second derivative of o(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:46 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77f906 + e?\nAnswer: 77f914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 292*c*f*y**2 + 2*c - 27*f*y**2 - 3*f*y + 2*f - 71097*y**2 wrt f?\nAnswer: 292*c*y**2 - 27*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 16*p = 252. Let m = -227 + p. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 less than or equal to -15\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 14) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 83388.63 minutes?\nAnswer: 5003317800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -5. Let m = -21 + 20.8. What is the second biggest value in -1, m, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:56 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 11*i**2 + 12*i + 63. Let h(s) = 4*s**2 + 35*s + 11. Let f be h(-8). What is the hundreds digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.787*-0.0016.\nAnswer: 0.0012592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3727232616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**2*y**3 - 22*q**2*y**2 - 25*q**2 + 26*q*y**2 + q + 8*y**3 - 2*y**2 - 16*y wrt q?\nAnswer: 20*y**3 - 44*y**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -1 + 19*y - 1\/3*y**4 + 11\/2*y**2 + 1\/2*y**3 + 1\/5*y**5. Find the second derivative of u(l) wrt l.\nAnswer: 24*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22416090 rounded to the nearest 10000?\nAnswer: 22420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312 + 7357*y**2 + 541 + 120 wrt y.\nAnswer: 14714*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 125414?\nAnswer: 3887834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/98073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 479181?\nAnswer: -479162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25172826 divided by -12586413\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 - 44416*s**3 - 123342548*s**2 - 239048264*s + 20706739872 = 0. Calculate s.\nAnswer: -5551, -14, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 952, 3227, 7660, 14971?\nAnswer: 25880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywvv when four letters picked without replacement from {w: 4, y: 6, v: 3}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 6*r**2 - 22*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-5*(-2 + sqrt(363)))**2 + sqrt(363) + 5 + (1*sqrt(3) + -4)*-3.\nAnswer: -1092*sqrt(3) + 9191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 18. Give l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q + 7*q**2 - 325 + 143 + 153. What is the hundreds digit of v(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1361 divide 697841862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 50 + 18. Let x(u) be the second derivative of u**4\/12 - 5*u**3\/6 - u**2 - 4*u. Let f be x(6). Solve 0*y = -f*y + j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/19 (c) 40089 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8370837972271 plus 0.2?\nAnswer: -8370837972270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -36, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-132)*12\/77*28\/(-8).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161154057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2. Let p(x) be the first derivative of -3*x**2\/2 + 4. Determine s(p(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 668601812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2\/11*b - 2\/11*b**3 + 4\/11*b**2 + 0 - 4\/11*b**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793.5139 - 1144?\nAnswer: -1937.5139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -20. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 10*y + 19. Let x(g) = -11*g**2 + 30*g - 54. Let i(m) = 8*b(m) + 3*x(m). What is i(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + 3 - 1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {u: 1, r: 6, k: 1, v: 2, g: 1, l: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuruurf. What is prob of picking 1 i and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 11 + 1 = 0. Let r be (-6)\/u + 4 + 83. Suppose -y + 643 = 3*z, 4*z - y + r - 959 = 0. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73117 is divided by 94.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 361*x + 23987. Determine q(-89).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83236 = -294*o - 93526 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - -8) + -53 + (19 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**7\/210 - u**6\/30 + 2*u**4\/3 - 2*u**3\/3 - 12*u**2. Let m(b) be the first derivative of c(b). Factor m(d).\nAnswer: 4*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620982.4um to centimeters.\nAnswer: 62.09824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/12 + -1 - (-38508)\/72 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7*z = 6*z, -h + 6*h - 11*z = -13*z - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 1, -5 in decreasing order.\nAnswer: 1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - 4) + 3 + 60?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991781.8 kilograms to tonnes.\nAnswer: 991.7818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -248?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14.21 + -2398140\nAnswer: -2398154.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 396479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410139 and 12.\nAnswer: 1640556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m + 1. Let v be h(3). Let q(x) = -x**3 + 5*x**2 - 3*x + 7. Let u be q(5). Let c = u - -6. Sort v, c, -1 in increasing order.\nAnswer: c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 0 (c) -419 (d) 0.3 (e) -29 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2. Let d(f) = 26*f**2 - 3*f + 3. Let y = -50 + 46. Let k(j) = 26*j**2 - 4*j + 4. Let a(v) = y*d(v) + 3*k(v). Give i(a(c)).\nAnswer: -1352*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let y = -3 + 2. Let s be -1 - (y - (-1 - -1)). Suppose -4*b - 3*h - 22 = 0, s*b - b + h = 2. What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -78, -174, -360, -666, -1122, -1758, -2604?\nAnswer: -3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71c2 + 146?\nAnswer: -707b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 851, 3001, 6589, 11615, 18079, 25981, 35321?\n\"Answer: 719*j**2 - 7*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 + y + 1. Let t = -6 - -6. Let a be m(t). Suppose 4 = 5*n - a. Is -2\/27 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/21 and 131\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 240.4 (c) 16 (d) -0.4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000642918 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30873579 divided by 1727?\nAnswer: -17877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g + 6. Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -2685?\nAnswer: -266a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 17. Give r(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15 = 0, -2401 + 2384 = -r + 2*k for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + s + 29, -g - 5*s = 2*g - 24. Suppose -2*y = -g*y + 22. What is the nearest to y in -4, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8315602 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3016 = 3030. Suppose b = -2*b - w*b. Solve -2*c + 2 = 2*q - 4, b = -2*q + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*p = -3, -4*h - 9 + 3 = -2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*g = 15, -t + 4*g = -17 + 4. Let m(b) = 9*b**3 + 5*b - 3. Let q be m(3). What is the highest common factor of q and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7475 - 5459. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-270) - 4\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Suppose -11 - 4 = -g*y. Suppose 0 = r + y*r - 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61340923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 564 - 508 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/106215 and 6\/11.\nAnswer: 1168365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*((h\/(h*h**(7\/3)))\/h)\/h)\/h))\/((h\/h**9)\/h))**0*((h**(1\/4)\/h)**(3\/4))**12 assuming h is positive.\nAnswer: h**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-3))\/(-4 + -11)*-9. What is the third smallest value in n, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-16))\/(39\/26). What is the smallest value in 2, x, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 28*r**2 - 179*r - 2257. What is d(-11)?\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 4. Let u(v) = -v**2 - v - 1. Calculate -p(k) - u(k).\nAnswer: -4*k**2 + k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Suppose -2*h = -4*c + 19 - 13, 3*h = 4*c - 1. What is the least common multiple of 35\/3 + b\/3 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -4, -8, 3, -2 in descending order.\nAnswer: 12, 3, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20764681, 41529360, 62294039?\n\"Answer: 20764679*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 6) in base 4?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32 and 599.76.\nAnswer: 567.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 + 45. Suppose 19*i - 243 = w. What is the lowest common multiple of i and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -30. Let o = c - -23. Sort 3, 5, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -51 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 1, x: 8, z: 2, a: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6008304 (base 9) to base 10.\nAnswer: -3194725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*r - 3, 4*v - 5*r = -0*r - 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*s = 540*s - 1128 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*x = 356*x + 211*x - 4152 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 + 323. What is the remainder when 582 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203207 or 203194?\nAnswer: 203207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -13. Differentiate -220*y**2 - 2 + 220*y**2 - q - 11*y**4 wrt y.\nAnswer: -44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 49 = 7*n + 81 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)*i)**(-24) assuming i is positive.\nAnswer: i**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4 + 973019*m**2 + 2*m - 3814259.\nAnswer: 8*m**3 + 1946038*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**6 - 2*i**5 + 14*i**4 + 25425*i**2 wrt i.\nAnswer: 600*i**3 - 120*i**2 + 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -100923, -100922, -100921, -100920?\n\"Answer: l - 100924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5399458 and 2114.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (72520\/(-182))\/(-20)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 4 + (-7 + (0 - -12) - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0307*4\nAnswer: 0.1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 16. Let p be (-3)\/4 + 59\/4. Let d be b(p). Let x be (-2 - d)\/(-9 + 6). Put 5, x, 4 in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.5 (b) 3 (c) 0.11 (d) 2\/5 (e) -2\/7 (f) -89\/3561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54966 or 1?\nAnswer: -54966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 16. Suppose r*n = -n. Factor n*c + 0 + 2\/3*c**2.\nAnswer: 2*c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19909 + 10215?\nAnswer: 30124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/4 + 9139*f**2\/2 - 3046*f = 0. Calculate f.\nAnswer: 0, 2\/3, 6092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 773876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-10)\/d*d**(-3))**(-1\/4)*(d*d*d**(-2\/13)*d)\/d*d*(d*d**(-2\/5))\/d*(d\/d**1)**(-48) assuming d is positive.\nAnswer: d**(1481\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*n = 4*n - 8, -3*n + 11 = 2*s. Let o(p) = s - 1361*p + 1278*p - 2751*p. Let a be o(6). Round a to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 + 28001*l**2 + 18666*l = 0. Calculate l.\nAnswer: -9333, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1012?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**21*v*v)\/v**1*(v**12)**4 assuming v is positive.\nAnswer: v**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 - 0)*47. Let o = z + 236\/5. Let g be 1 + 2 - 2*1. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 75, 112, 149?\n\"Answer: 37*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 + 1065. Suppose 9*p - d = -2*p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -8.23?\nAnswer: 2.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 903, 1749, 2537, 3237, 3819?\n\"Answer: -5*s**3 + s**2 + 878*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279947554.\nAnswer: 2, 73, 191, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(-2\/29)))\/p)\/(p*p**(2\/15)))**(-3\/25)*(p\/(p\/(p*p**0))*p)**(-47)*(p\/(p*p**(-2\/5)))**(2\/93) assuming p is positive.\nAnswer: p**(-31597756\/337125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**3 + 444800*t**2 - 3297302395*t - 2198399290.\nAnswer: -5*(t - 14827)**2*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -1\/5, 1 in increasing order.\nAnswer: -1\/5, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k + 9. Let f be p(1). Suppose -5*a + d + 986 = f, a + 0*d = -d + 202. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g - 4845 = -43*g - 137*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 29 = -15. What is the smallest common multiple of b and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h**5)\/h)\/h)\/(h\/((h*(h**4*h)\/h)\/h)))**(28\/9)*(h**(-2\/9)*(h\/(h*h*h*h\/(h\/h**(-5)))*h)\/h)\/(h*h*h**(-2\/3)*h)**(-41) assuming h is positive.\nAnswer: h**(370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - 5*u + 4. Let k(h) = -3*h**2 + 5*h + 3. Let d(l) = -7*l**2 + 11*l + 7. Let f(q) = -4*d(q) + 9*k(q). Give 4*f(w) + v(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136989 divided by -1004?\nAnswer: -136989\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 537*j**2 - 218*j**2 - 83*j**2 - j. Let h(r) = 13*r**2. Give f(h(p)).\nAnswer: 39884*p**4 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 622 + -611. What is the second derivative of 35*d + 2 + 19*d**2 - 6*d**3 + q*d**2 - 12*d**2 - 12*d**2 wrt d?\nAnswer: -36*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 50*x**2 - 176*x - 8859. Calculate g(-50).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwi. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2*(-9)\/42. Let q be (-14)\/20 + 9\/18. Which is the closest to -1? (a) q (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 10332210203?\nAnswer: -10332210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.498996 to 2 dps.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 139.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22943, -8, -4, 54, 5 in descending order.\nAnswer: 22943, 54, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/11, -0.1, 11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2037834307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01569793686 to 5 dps.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.92 - -185. Let b = -20 + v. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 6*k + 15 = 0. Let i(p) be the second derivative of p + 0*p**4 + 0 + 1\/12*p**3 + 0*p**2 - 1\/40*p**k. Solve i(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*-0.4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7076*l - 151348 - 7141 - 17579 = 50364 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from ammyybaeym?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 149. Let k = 99.7 - z. What is the nearest to 0 in 0.5, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3588110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 4 (c) -0.09 (d) -1\/5 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 753 - -183. Is o a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 6903970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66248958 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x. Which is the biggest value? (a) x (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 4. Let v(g) = 21*g - 49. Let r(n) = -12*n + 28. Let k(y) = -19*r(y) - 11*v(y). Give 2*k(l) - 5*p(l).\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8)*w**(-3)*(w**0)**(-3))**(3\/11) assuming w is positive.\nAnswer: w**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1563 (base 12) to base 8\nAnswer: 4733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1234732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (30 - 18) - 24) + 118.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - y - 110 = 0, 2*l + 5*y = 31 + 65. Suppose -b = -2*n, -4*b = b + n - 55. Calculate the remainder when l is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436.5 - 405. Let d = -31 + k. What is the closest to -28 in 2\/3, d, -2\/7, -2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w - 372*w - 289*w + 110*w in the form q*w + f and give q.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 213 * 11.259\nAnswer: 2398.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 264\/462*14\/1556. Let r = i + -407\/3501. What is the closest to -8 in r, 5\/4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-20) + 3 + (-14)\/4. Suppose -2*b + 394 = 2*f, 783 = 4*b + 3*f - o*f. What is the lowest common multiple of b and 33?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 311*l - 306*l - 18, -3*s = -l - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(288\/(-16))*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -350 (c) -4 (d) 1\/3 (e) 0.3 (f) 56 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47.6 times 3.086\nAnswer: -146.8936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 25 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 310*h**2 + 31201*h + 56. Determine t(-80).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4.92.\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - (-1 + 3))\/(-1). Let t be (-1)\/(-4) + (-119)\/28. Is k at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/7 + 34*k**3\/7 + 1594*k**2\/7 - 24306*k\/7 - 12312 = 0.\nAnswer: -27, -3, 19, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -30*d - 1. Let u be b(-1). Let a = u + -18. Let w = 20 - a. 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: Expand 3*o**3 - 3*o**3 - 2*o**4 + (0*o - 2*o**2 + 0*o)*(-3 + 3 - 2*o**2) + 3*o**4 + 2*o**4 - 3*o**4 - o**4 - 9*o**2 - 11*o**2 + 21*o**2.\nAnswer: 3*o**4 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 17*d + 3. Determine u(9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1947 + 8464. Suppose -30065 - q = -26*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34798724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*g - 1350*g = 1088 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30428.94ml in litres?\nAnswer: 30.42894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -224*z + 3. Let t be u(4). Let a = t - -1298. Suppose -8*l + a = -3*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:34 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, 7, 88, 171, 256, 343, 432?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 17*l**2 - 5*l + 9. Let k be v(6). Let u(b) = 2*b**3 - 7*b**2 - 4*b + 9. Let z be u(6). What is the highest common factor of k and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12 and 107\/35850?\nAnswer: 71700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 3*z**4 - 3*z**4 + (2*z**4 - 2*z + 2*z)*(-7 - 1 - 3) as u*z + l*z**4 + y + i*z**3 + q*z**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100101110111110100 (base 2) in base 3?\nAnswer: -2021011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 340*f**3 + 6029*f**2\/2 + 3355*f = 0. What is f?\nAnswer: -1, 0, 10, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-44))\/(176\/123904)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 311513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -779 (base 14) in base 9?\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 55\/(-10))*(-4)\/94. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 10*o + 10. Calculate the remainder when x(-14) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*((-156)\/(-24) - 7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 14 - 7)*(0 - 2 - 2 + (1 - 1 + 2)*(4 + 1 - 4))*(-x**4 - 4*x**4 + 7*x**4).\nAnswer: 52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 9*d - 6*d. Solve -8*g + 3*g - d = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.005 (b) 0 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17935, -36785, -55635, -74485, -93335?\nAnswer: -112185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*t + 30 = 2*t, 0 = -4*t + 8. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2663 = 3*q - r - 2251, 0 = 3*q - 5*r - 4902. Let i = -1105 + q. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuff when four letters picked without replacement from ufmuuquqqmvuumfffuf.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 12, 6\/19, 462 in decreasing order.\nAnswer: 462, 12, 6\/19, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**3 - 40*l**2 - 5*l - 104. Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12602634?\nAnswer: 2, 3, 11, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 107. Let f be (7\/(-28))\/((-10)\/z). Suppose 0*b**2 + 32\/5 - 32\/5*b - 2\/5*b**4 + f*b**3 = 0. What is b?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4572 and 793242.\nAnswer: 1586484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20285484 is divided by 501.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + l. Let m be v(-2). Suppose 0 = -4*n - 2 + m. Suppose -n*h + 40 = 2*h. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 38. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514240?\nAnswer: 2, 5, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 20*c - 55. Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*36\/(36\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 2. Let v(c) = -c + 3. What is -4*v(z) + 5*x(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1495, -3463, -5921, -8893, -12403, -16475?\nAnswer: -21133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 211.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 24 = -4*c. Suppose 8 = 9*d - 8*d. Let m be (d - -2) + (-1)\/1. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/7672 - 1917\/7672. Let k be 42\/35*(-2)\/(-18)*-2. Put k, 4, g in increasing order.\nAnswer: k, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 2. Let l(f) = -809*f**4 + f**2 + 4*f - 20. Let u(g) = -4*a(g) - l(g). Find the third derivative of u(p) wrt p.\nAnswer: 19416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*i - 173*i = 434. Let s(x) = 2*x**2 - 67*x + 159. Is s(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3135 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*s - 3*j, -12*s - 3*j - 25 = -17*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -4, 2\/3, -2, -0.5, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 27*f - 31. Give p(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*w + 31 = 0, 3*z - 3*w - 9 = 6. Let a = z + -10. Let s be a\/(-10) - 48\/(-10). Solve s*x + 6 = -3*l - 6, 5*x + 11 = -4*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1771.619199 to one dp.\nAnswer: 1771.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -33. Let p = m + 41. What is the remainder when 45 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498 and 45?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-90))\/(1\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -792 - 54*g**4 + 792 + (0*g**3 - 4*g**3 + 6*g**3)*(-g - g + 4*g) + 0*g**4 - 3*g**4 + 2*g**4 - 2*g**4 + 1 - 1.\nAnswer: -53*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 0*o)*(31*o - 17*o + 4*o)*(-4*o + 2*o + o).\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 748004460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/8 of a tonne?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 9*w - 17. Let c be p(4). Let l be (-9 + 2 - c*1)*-2. Suppose 0 = -4*o + o. Solve o = -u - 3*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/180 + (-1)\/6. Let x be ((-2)\/(-12))\/((-3)\/(-9)). What is the closest to v in -0.5, x, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 - u**3\/6 + 2*u**2 - 2*u + 45. Calculate d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-360))\/((-1)\/4)*18\/16.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51600 (base 7) to base 2.\nAnswer: 11000101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -6*y + 181. Solve 5*i - 3*q = 3*i - 11, -2*i = -y*q + 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1775013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1330\/9 - -148. Let p = 0.02 - -0.01. Let n = p + -0.03. Which is the closest to o? (a) 0.4 (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 85 + 67 + 2*i)*(1 + 2 - 2)*(3 - 1 - 3).\nAnswer: -2*i - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/9, -3, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.150768ug in grams?\nAnswer: 0.000004150768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 25 + -31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2290 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 251*r**2 + 118*r + 254. Determine f(-3).\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*((-248)\/(-16))\/31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128276989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2849120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173*r - 2*r**5 - 166*r - 24*r**5 + (0*r**2 - 3*r**2 + 2*r**2)*(2*r**3 - 2*r**3 + 2*r**3).\nAnswer: -28*r**5 + 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/120 - 2*w**5\/15 + w**4\/12 - 5*w**3\/3 - 3*w**2. Calculate the remainder when 28 is divided by f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000621444 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - 4) + -2 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 774*p + 4. Let y(i) = 388*i + 2. Determine -6*c(k) + 13*y(k).\nAnswer: 400*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, b: 7, s: 2}. What is prob of sequence vv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqwqqqdqqj?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248681837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/11 - 518*f**2\/11 - 2096*f\/11 - 2104\/11 = 0 for f.\nAnswer: -2, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + -9 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/663 and -67\/1445?\nAnswer: 56355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-6)\/(-3))*3\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 6*j - j - 3*j + 1 - 1 + 2*j - j - 3*j - 2*j + 2*j + 2*j + (0*j - 2*j + 3*j)*(5 - 4 - 2).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/46 + ((-7)\/8 - 787300\/(-18400))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 - 2*s - 10. Is h(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -720 or -14?\nAnswer: -720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 23*j = 50. Suppose -4*w - 4*t = 0, 2*t - 4 = -3*w + j*w. Which is the second smallest value? (a) 2\/9 (b) w (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.77 - 1.75. Let k = 4 - 3.98. Let g = k - i. Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 - m + 5. Let i = -22 + 12. Let j be k(i). Let u = 61 + -57. Solve u*v = -v + j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9137, -1, 4442, -4 in ascending order.\nAnswer: -9137, -4, -1, 4442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4881 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 4610660*i\/13.\nAnswer: 2*i*(i - 2305330)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1852 and 2252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-72) - 596\/(-6). Suppose 0 = -f + 3*f - 10. Suppose f*x = 10 + 190. What is the greatest common divisor of d and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.37 in 4, 2\/9, -51, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y**2 - 19*y**2 + 17*y**2)*(0*y + 0*y + 2*y) + 0*y**3 - 6*y**3 - 2*y**3 - 1 + 4*y**2 - 2*y**3 - 4*y**2.\nAnswer: -64*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -19503*t**2 - 1228687*t + 83. Calculate h(-63).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5 = -p, 4*k + 16 = 4*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6218 - -6223. Sort o, -7, -1, 6, 2\/5.\nAnswer: -7, -1, 2\/5, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(11)*-4 - sqrt(11)) - (5 + (sqrt(55)\/sqrt(20) - sqrt(11)))**2.\nAnswer: -123\/4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 2, w: 5, k: 7}. Give prob of picking 2 o and 1 k.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x**3 - 14*x**2 - 17*x + 4. Let b(r) = 26*r**3 + 20*r**2 + 24*r - 6. What is -5*b(i) - 7*w(i)?\nAnswer: -11*i**3 - 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -23. What is the closest to -0.1 in 1\/7, 4, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76385087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/210 + 47*g**3\/6 - 28*g**2. What is the first derivative of a(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -63*t + 73*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.04 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -2 (c) 73\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + z + 69 = 0, -5*n = -116*z + 119*z - 73. Sort 11, 4, n in descending order.\nAnswer: n, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - o = -2*r, 5*r - 10 = -3*o. Suppose -2 = r*m - 72. What is the smallest common multiple of 20 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 243 + (2 - 2 - 4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-238)\/(-6) + 22\/(-33). Let n(p) = 2*p + 10. Let t be n(8). Calculate the greatest common factor of t and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 772167465 - -12?\nAnswer: 772167477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1142, 1099, 984, 761, 394, -153, -916?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.6 * 3.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 2*y)*(-2 + 2*y + 2)*(54*y**3 - 42*y**3 + 161*y**3).\nAnswer: 346*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(-399 + -5). Suppose 3*p = -73 + s. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/21 - 229\/(-7). Suppose 3*v - 2 = -5*j + g, -32 = -3*j - 4*v. Solve 0 = j*y - 5 + 1, -3*i - y - 11 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4\/2 - 37*j**3\/4 - 271*j**2\/2 - 383*j - 322 = 0. What is j?\nAnswer: -23\/6, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a393 (base 13) to base 7.\nAnswer: 122611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 35*w**2 - 101*w - 72. Does 18 divide k(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4988 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t)**(25\/2)*t**(-1)\/t**(-2\/9)*(t**(2\/7)\/(t\/t**(-1\/3)*t))**(-43) assuming t is positive.\nAnswer: t**(13021\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4801.31 + -4859. Let c = -57 - o. What is c rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Let d = 4.9 + -5. Let l = d - o. Which is the third smallest value? (a) 0 (b) l (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105.135 litres in millilitres?\nAnswer: 4105135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -18. Let k(y) = 0*y + w + y - 9. Let b(s) = -4*s - 6. Determine b(h) + 6*k(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from fefmfdfydf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 56 + 90)*((0 + 3 - 2)*(4*z - 3*z + 0*z) - 2*z + 2*z - 2*z).\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**4 - 7 + 5*z**2 - 2*z**2 + z**5 - 25*z**4 wrt z?\nAnswer: 60*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 661186.5 kilometers?\nAnswer: 661186500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17474531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6)\/((-8)\/88*(-2)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + g**2 + 4*g - 10*g - 2. Let z be d(6). Solve 2 = k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j - 6. Let y be u(6). Suppose 10*w - y = 8*w. Suppose d + 246 = 5*d - w*f, d = -4*f + 52. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvvvvkvvvvvkvvkvvv. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -291b77 (base 12) to base 16\nAnswer: -a7e4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 4. Let m be r(-3). Suppose -m*o = 5*o - 14. Suppose -525000 = -o*y - 5*y. What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 221. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/136)\/(1\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0054? (a) -302 (b) -4\/3 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r + 235. Find the common denominator of (r\/(-28))\/(3\/12) and 95\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -25. Let t = r - -42. Solve f = -2*k + 3, t*f - 5*k = -0*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 0 - 0)*1. Suppose -2*s = s - b*w, 5*s + w = 0. Let n(r) = -r**2 - r + 6. What is the units digit of n(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 42 - 28\/(-98)*(-14)\/1.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2571 and -2553984.\nAnswer: -2553984.2571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5715841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:03 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 26\/3. Which is the nearest to f? (a) -2 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 6*w. Let t be y(-6). Suppose 0 = -3*x - 2*x, 4*i + 3*x + 8 = t. What are the prime factors of i + (-14)\/(-1) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 4, e: 4, p: 3, u: 4}. What is prob of sequence uelu?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5039 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 37*s = 90 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 17*v - 16. Let j be g(16). Suppose j = 15*p + 437 + 47698. Round p to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.094988 litres to millilitres.\nAnswer: 94.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:28 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 219\/10. Let f = -4.9 + -0.1. What is the biggest value in -4, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/20 + 5*t**3\/3 + 11*t. Let v(u) be the second derivative of h(u). Let f(w) = w**2. What is v(f(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560790\/598176*(3\/(9\/(-2)))\/((-2)\/(-4))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:58 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1382500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2297168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i. Let h be p(-1). Let s be 2*h*1\/2. Suppose -3*j + 13 = 3*m + m, -s*m = -5*j - 13. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 + 5748*r**2\/5 + 22956*r\/5 + 22944\/5.\nAnswer: 3*(r + 2)**2*(r + 1912)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354424493.\nAnswer: 354424493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.6 and -0.05.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 45 - 475*s**3 + 7 + 478*s**3 + 6 - 58.\nAnswer: 3*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 q, and 1 p when four letters picked without replacement from vvqirvtqvqqvviqp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 1655520?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199000 rounded to the nearest one thousand?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8265488 divided by -4?\nAnswer: 2066372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 + 0.0284.\nAnswer: -14.9716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 6*m = 361*v - 188*v - 171*v + 66, -5*v = -m + 66 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 17*k - 43. Calculate the remainder when t(11) is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 68, 2, 1, -1.\nAnswer: -67, -1, 1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11001011010110 (base 2) to base 14\nAnswer: -4a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 40*o + 176. Let t be l(5). Let v(c) be the third derivative of -2*c**5\/15 - c**3\/6 + 19*c**2. Determine v(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76701.\nAnswer: 3, 37, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 10. Suppose 3*x + t = 30, 0 = -2*x - 0*x - 2*t + 16. Let d be y(x). Is 9 a factor of d + -3 + 1 + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m + 17*m + 78 - 20*m - 19*m**3 - 1 with respect to m.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -105 greater than or equal to -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6606414 divided by 137\nAnswer: 48222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/32)\/(15\/(-20))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3071 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-2*3*-5 + (-2*sqrt(15)\/sqrt(3) + (sqrt(15)*1)\/sqrt(3))*3.\nAnswer: 117*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 1\/2 (c) -0.2 (d) -2068 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 17. What is the remainder when v(-4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*i*l*o + 16*f**3*i*o - 2*f**3*i - f**3 - 2*f**2*l - 14*f*i*o + 9*f*l with respect to o.\nAnswer: -f**3*i*l + 16*f**3*i - 14*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/4)\/(4\/9))\/((-3197)\/(-3892)*-7)?\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*k**2*o + 168*k**2*r**3 + 2*k**2*r**2 + 5*k*o*r**3 - 2*k*r**2 + 14*o*r wrt r.\nAnswer: 1008*k**2 + 30*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 + 3*b**2 + 8*b - 3. Let n(o) = -9*o**3 - 8*o**2 - 23*o + 8. Determine 8*m(p) + 3*n(p).\nAnswer: -3*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4 and 1494\/(-140) - 3\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5290 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2 - 2\/4. Suppose 4*n - t*q = 6, 5*n - 4*n - 5*q - 6 = 0. Does n = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 18*u - 15 = 0. Is 7 a factor of (3 + -1)*(16 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**7\/840 + l**6\/360 + 5*l**4\/8 - 2*l**3\/3 + 1. Let t(z) be the third derivative of p(z). Does 10 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = 2. Let o(u) = 2*u**2 - 8*u + 9. Let h be o(b). Suppose -4*d + h - 9 = 0. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30190934731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 6*r + 7. Suppose -24 = 5*t + d - 0*d, t - 2*d - 4 = 0. Let y be l(t). What is the smallest common multiple of -2*(-6)\/8*(-12)\/y and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (31 - (5 + 24))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6218*m**3 + 15 - 21.\nAnswer: -6218*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03702 less than 3284.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/(-6))\/(10\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -303013 (base 4) in base 11?\nAnswer: -2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 11 - 3. Suppose 3*u - 2*u - v = 0. Solve -4 = d - u*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1973 = 11942. Let s be z\/(-3322) - (-2 - -3). Let w = -156143\/29898 + s. Calculate the common denominator of 37\/4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 10) in base 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-105)\/(-9))\/((-2)\/((-828)\/23)). What is the greatest common divisor of 1344 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(1 + sqrt(19))**2 + (1*sqrt(171))\/sqrt(9) + -5).\nAnswer: 52*sqrt(19) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:55 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 55*c**2\/2 - 66*c - 530. Let t(r) = r - 1. Determine o(k) - 66*t(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/24 + 2*q**3 + 2*q**2. Let s be o(-10). Let a(z) = 4*z + z**2 - 4*z. Give a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 14*w**2 - 3*w - 12. Let c be n(8). Let l = c - 121. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 596 - 595. What is the second smallest value in 0, -43, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175) + 1 + sqrt(175))**2 - sqrt(175) - sqrt(175)).\nAnswer: 30*sqrt(7) + 2103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) + 2 + sqrt(13) - sqrt(13))*-4 + (sqrt(104)*-4 + sqrt(104))\/sqrt(8) - 4*((2 + sqrt(468))**2 + -3).\nAnswer: -1884 - 102*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/45 and (-391)\/(-260) - (-12)\/(-78)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 28*s**3\/3 - 22*s**2 + 16*s - 337. Suppose i(u) = 0. What is u?\nAnswer: 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 2}. What is prob of sequence spps?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 52738 + 52734 = -7*z, 4*z = 2*h - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.653202ml in litres?\nAnswer: 0.000653202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 32*w**3 + w**2 + w - 1. Let p be i(1). Suppose -p - 12 = -3*f. Suppose -f = -4*u + 5. Solve 0 = -5*q + 3*q - u*m + 2, -12 = 5*q + 4*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -1158004?\nAnswer: -91\/1158004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12240 and 999.\nAnswer: 1358640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*v**4 - 2*v**3 + 98*v**2 + 2*v - 1949449 wrt v?\nAnswer: -52*v**3 - 6*v**2 + 196*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*z - 5. Solve 5*c + 18 = 3*c - 3*j, z*j = 2*c - 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.210975.\nAnswer: -4.008525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350*j**3*t**2 + 15*j**3*t + 1777*j*t**2 - 2*j + 5*t**2 + t wrt j.\nAnswer: -2100*j*t**2 + 90*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -48, -85, -144, -231, -352, -513?\n\"Answer: -x**3 - 2*x**2 - 8*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 10*o + 8*o)*(o - 3*o + 0*o) + 29*o**2 - 2*o**2 + 1 + 18*o**2.\nAnswer: 15*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6908.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*u*v + 265*c*u - 30*u*v - 6*u + v wrt c.\nAnswer: -2*u*v + 265*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*j - 19684, 5*h + 21*j - 17*j = 49204. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1186 - 331. Calculate the highest common factor of 45 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 + 6 = 0. Is c less than -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**3 + 1930*d**2 + 35255*d + 143130 = 0.\nAnswer: -367, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 3*q**2 + 2*q - 3. Suppose -4*z = 179 - 35. Let r = -34 - z. What is the tens digit of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agawbuuuwa. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.2099 at least 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -53 + (-6 - -25 - 10) + -5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 82.16616kg?\nAnswer: 82166160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154243796 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 3. Calculate the remainder when r(7) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 941377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 827.0281 nanometers in micrometers?\nAnswer: 0.8270281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let o(q) be the first derivative of -q**4\/3 + 3*q**3\/2 - 41*q**2 - 21. Let t(n) be the second derivative of o(n). Calculate t(j(d)).\nAnswer: 16*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 4 = 13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 66 = -20*v - 14*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005769235 rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 10. Give w(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44\/603 - -38491\/9648. Calculate the common denominator of r and (-9)\/10 - (1 - -1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -0.3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -77146*s + 1002889. Calculate l(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 - 139*l + 272*l - 133*l.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and -310.1.\nAnswer: -298.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = 2*d, 2*b = -2*d + 6*d - 2. Let y be d*1\/(-2) + 0. Let n = 2.5 - 3. What is the biggest value in 0.4, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 14 = 32. Are l and 2\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - (11 - 7). Let o(g) = -2*g - 3. Is 3 a factor of o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 - -5edd5?\nAnswer: 5ed51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 - 3*s - 1. Calculate the remainder when 49 is divided by h(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2748446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 1500 - 3016 - 742*w + 1509.\nAnswer: -5*w**2 - 742*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 6*q**2 + 7*q - 5. Let k be d(5). Suppose 10*a - 25 = k*a. Let w be 4\/(4\/a)*1. Solve w*c - 5 + 0 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 101 + 29 = 5*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(704)*-3 + sqrt(704))**2.\nAnswer: -14085 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + g + 3*g + (-3 + 2 + 3)*(g + 2 - 2) + (1 + 18 - 3)*(7 + 0 + 4)*(0*g - g - g) in the form i + a*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 3. Let j be w(-2). Suppose 2*u + 5339992 = j*u + 2*b, 0 = 3*u - b - 5340004. Suppose x - 3*x = u. Round x to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310877 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7\/252*-24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08 less than -1.15023633?\nAnswer: -0.07023633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g**2 + 8*g - 14. Let l(s) = 9*s**2 - 3*s + 5. What is 17*l(d) + 6*m(d)?\nAnswer: -3*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*g + 390*g + 261*g**2 as f*g**2 + n + l*g and give f.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404538 = -74*w - 1028 + 193300. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185942321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 2*w - 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*j + 16*j + 20*j)*(3 - 2 + 1)*((3 - 6 + 2)*(-2 + 2*j + 2) + 2*j + 0*j + j + 0*j - 6*j + 16*j) as m*j**2 + f*j + y and give m.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let h = -21.94 - 1.06. Let n = h - -23.11. Which is the second biggest value? (a) n (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294514 divided by -147257.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3\/3 - v**2\/2 - 4*v + 1. Suppose -6*w = -w - l - 44, 2*l + 25 = 3*w. Calculate the remainder when m(6) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 294*s**2 - 6264*s = 0. Calculate s.\nAnswer: -18, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755 and 940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 242 (b) -11 (c) 268.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 + -3673\/16. Suppose b + 2597 = -1352. Let x = 63231\/16 + b. Find the common denominator of x and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1. Suppose -k - 7 - 9 = 2*m, -5*m - 42 = 2*k. Let u(x) = x + 5. Determine m*v(d) - 2*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1762006338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4 - 3. Let g be (-3 + 0 + r)\/(-1). Suppose 5*c - 98 = -3*m + 12, g*m = 4*c + 44. Solve -5*v + m = 3*w + 5, w + 15 = 3*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10*25\/4. Suppose -25 = -5*y - 25. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t + t)*(-37*t + 19*t - 38*t)*(-3*t + 9*t - t) + 3*t**3 + t**3 - 2*t**3 in the form q*t + f + m*t**3 + u*t**2 and give m.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977, -1979, -1981, -1983, -1985?\nAnswer: -1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5 = -m, 2*m = -5*r + 7*m - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908375.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 2 + 1 + 19*l - 19*l + l**3. Give g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (3 + (-2 - -5))*20\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*v - 12, -6*v + 3*v + o = -5. Suppose v*u = 2*n + 1942, 5*n + 15 = -10. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose r*h = h. Suppose h = p - 1 - 10. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2346*u - 4281. Determine m(-2).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 6*f + 5, 3*f + 3295 = 2*h. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-4 + 7)) + 5 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19226)\/(-6))\/((-1)\/15*-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 + 5*k + 1. Let w(b) = b**3 - 169*b - 150*b + 313*b - 3*b**2. Determine 6*r(i) + 5*w(i).\nAnswer: -i**3 - 3*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - d + 56 = 63, 7 = -4*s - d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y - 3 = 0. Suppose -3*x - 6 = -3*r, -6*r + 3*r - y*x = -6. Solve 9*l - r*l = 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -1 - 1\/6*g**4 - 1\/3*g**2 + 4\/9*g**3 + 0*g. Factor o(c).\nAnswer: -2*c*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 3*l - 24 = -8*g, 5*l - 220 = 5*g. Let b be (0 - -7) + g + 548. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 0.4, -151, 34, -2\/11, -0.17?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413 - -4803059.7.\nAnswer: 4803472.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38923295 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220430133 (base 5) to base 7.\nAnswer: -11043162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14. Suppose d = -8*x + 5*x + 72. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 1417?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.32687 decades to centuries.\nAnswer: 7.132687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -111. Suppose -4*a + 4*g = -1376, j = -0*g + 2*g. Suppose 10*n - a = -2*n. Calculate the remainder when 84 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 131 - -2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101110111111011101 + -11?\nAnswer: 11000101110111111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brrb when four letters picked without replacement from {b: 7, r: 4}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2508 + -12539\/5. What is the fourth smallest value in -0.2, 51, -1, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -65*q + 160 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 41*i**2 + 2*i - 1. Let x = 27 - 27. Suppose -5*r + 2*m + 2 = 1, x = 5*r - 3*m + 1. Is l(r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - v + 42. Let y be -1*(3 - (v + (-20)\/(-8))). Find d such that -3\/2*d**3 + 3\/2*d - 2 - 1\/2*d**4 + y*d**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - 25. Let f = y + 76. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159087 greater than or equal to 2159086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 - s. Let o be d(-1). Suppose 25 = 5*w, -k - 3*w - 1 = 3*k. Put -8, o, k in descending order.\nAnswer: o, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - 13*i**2 - 13*i - 13. Let n(q) = 3*q**3 - 6*q**2 - 6*q - 7. Give -6*k(y) + 13*n(y).\nAnswer: -3*y**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 2035 + 8371 = 0. Does 47 divide (521\/(-4))\/(88\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 - 38 = 0. Let j = u - -25. Solve 1 = r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**3 - 5*h**2 + 259*h + 4. Let p(w) = -w**2 - w - 1. Let c(j) = 4*p(j) + t(j). What is the second derivative of c(r) wrt r?\nAnswer: -66*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f**3 + 3. Let o(x) = 26*x**3 + 3*x**2 + 3*x + 5. Let l(m) = -27*m**3 - 4*m**2 - 4*m - 5. Let r(v) = -3*l(v) - 4*o(v). Determine 3*r(i) + 5*t(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1584, -1585, -1586?\n\"Answer: -o - 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 536432.224 rounded to the nearest 1000?\nAnswer: 536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + (3 + 2)*1. Suppose 3*d - i + 6 = 0. Suppose -8 = -2*o + d*c, 0 = 2*o + 2*o + c - 2. Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 + -4 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/4, 2, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3776 and -37\/960.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - -2 - (-12)\/(-4). Suppose -17*n + r*n + 60 = 0. What is the remainder when n is divided by 4\/(-6) + 70\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 24*h - 2 + 0.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286.0017 - 286.4. What is m rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 - 201 = 3*l. Let s = 318 - l. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 7) in base 3?\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -967 - -973. Let s(o) = -o**3 + 7*o**2 + o. Determine s(h).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1049 + 1043. Which is the nearest to -0.1? (a) -0.2 (b) d (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142722*4.\nAnswer: 570888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, i + 0*i - 367 = -b. Suppose 0*q + q = 2*p - 355, -b = -2*p + 5*q. Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.3, -57, 4, 31, -2\/19 in decreasing order.\nAnswer: 31, 4, -2\/19, -2\/9, -0.3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 3, l: 1, y: 2}. Give prob of sequence yer.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 3*m**3 + 4*m**3)*(-54 - 22 - 10)*(-3*m + 2*m + 3*m).\nAnswer: 172*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/7)\/h)\/h)**(-2\/11)*h\/(h**(-4)\/h)*((h*h**0)\/h)\/h)\/((h**1)**(2\/21))**27 assuming h is positive.\nAnswer: h**(211\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.046 and 55.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (658\/(-12))\/((-8)\/(-60)). Let m = c - -14585\/36. Find the common denominator of -7\/3 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + sqrt(336) + sqrt(336)*-1 + sqrt(336) + sqrt(336))\/sqrt(12))\/(sqrt(4) - 1*3*sqrt(4))*2.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -q - 6. Let l(a) = a - 1. Let z be l(q). Suppose -2*p + 143 = z*p + 3*w, -p - 4*w = -52. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1173439 or -1173440?\nAnswer: -1173440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9482365413 + -0.4105.\nAnswer: -9482365413.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 18 = o. Let v = 4 - 2. Put v, 1, o in ascending order.\nAnswer: 1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2427598, 2427599, 2427600, 2427601, 2427602, 2427603?\nAnswer: 2427604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-6)\/60). Suppose m*j - 23 = s - 8, j = -s. Suppose 0*q + j*q = 6. Sort q, -1\/4, -5 in increasing order.\nAnswer: -5, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-22) + (2 - (-5)\/(-2)). Is f bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41587*q + 1506 with respect to q.\nAnswer: -41587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(2\/13))*h**(-10\/3)\/h*h\/h**(-2\/7)*h**(-2\/21) assuming h is positive.\nAnswer: h**(-272\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5305 + -a?\nAnswer: -5313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 106117650.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + -52. Let c be 63 - (3 - 1) - 3. Let t = c - b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94, -389, -880, -1567, -2450, -3529, -4804?\n\"Answer: -98*f**2 - f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*p + 14 = 2*l, 8 = 2*l - 4*p. Let h be (-30)\/7 - (-4)\/14. Let i = l + h. 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 the nearest to 0.1 in 0.3, 6, -2\/15, -2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3930.46 and -2.02881422.\nAnswer: 3928.43118578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2754 = 11*i + 6*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 3. Suppose 0*j - 222 = -3*j. Suppose -14 = 5*s - j. Let c = s - 8. Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317 - 264*z**4 + 317 + (-3 - 2 - 1)*(-2*z**4 + 2*z - 2*z) to x*z + q + f*z**2 + k*z**4 + h*z**3 and give k.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a20238 - 29?\nAnswer: 1a2020a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011 + 2?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 3*r = -1128, -4*r - 2260 = -4*m. What is the greatest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 30*w**2 + 10*w - 3. Let b(m) = 390*m**2 + 125*m - 40. Determine -3*b(u) + 40*z(u).\nAnswer: 30*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11e4e (base 16) to base 4\nAnswer: -101321032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/96 + -311\/96. Find the common denominator of f and -103\/430.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -978 divided by 6\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5735 + -166341\/29. Find the common denominator of o and 567\/72 + 5 + (-14)\/1.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-672)\/(-308) + ((-18)\/(-22) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53568 is divided by 10685.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/8*(-36)\/(-9). Let g(d) = d**2 + d + 1. Let k be g(y). Suppose j = -0*j + k. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = -65*c + 1168 - 218 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*r - 25*r - 6029 = 2701 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36223020, 36223026, 36223032, 36223038, 36223044, 36223050?\nAnswer: 36223056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 899*v**3 - 1144*v**3 - 8*v + 243*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/167 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120.5198 - 0.0198. Round s to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -34938170?\nAnswer: 6288870.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.75 + -59.45. Let b = 0.3 + -0.8. What is the second biggest value in 15, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 83\/(-20) - (-2)\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 - (80 + -209 - -67)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 + 7588a2?\nAnswer: 758932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f - 116. Let i be v(-15). Let p(c) = -6*c**2 + 5*c**2 - c**2 - i + 0 - 14. Let j(d) = d**2. Give j(p(m)).\nAnswer: 4*m**4 + 72*m**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-64)\/(-360)*6\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1237 + -79.\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1661*k**2. Let y(g) = -8767*g + 2. Give y(t(d)).\nAnswer: -14561987*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - j = 2, 0 = -2*j + 5 + 3. Let v = 60 - 61. Sort -0.5, v, m in descending order.\nAnswer: m, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*z + z + 4, -2*z = f - 2. What is the third derivative of -9*x**z - 2*x**2 + 13*x**2 - 11*x**6 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 11*x - 3*x + 6 + 5 + 5 as p*x + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 5*y**4\/12 - 18*y**2 - 34*y. Let w(l) = -2*l**2 + 1. Let i(a) = 3*w(a) + x(a). What is the derivative of i(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 32*o**2 + 80*o + 2. Let u(v) = 16*v**2 + 38*v + 1. What is 6*r(i) - 13*u(i)?\nAnswer: -16*i**2 - 14*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35224\/(-31450)*(((-152)\/70)\/19)\/((-2)\/(-5))?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c**3 - 10*c**2 - 49*c + 25. Does 5 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505 + 510. Suppose -u*i + 5*a - 110 = 0, 4*i - 7*a + 93 = -2*a. Are i and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662112 divided by 1056?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 3*h**2 - 2*h. Suppose 7 = 3*l - 4*y, -y - 6 = -2*l - 3*l. Let z(c) = -c**2 + c. Give l*k(x) + 2*z(x).\nAnswer: -3*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 11718*k. Let h(d) = -2*d**2. What is f(h(w))?\nAnswer: 4*w**4 - 23436*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(11) + 4)*3)*-3.\nAnswer: -24 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11*w - 24 + 4 = z, -2*z + w - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 0*v**4 - 2\/105*v**7 + 0*v + 0*v**3 - 20\/3*v**5 + 7*v**2 - 2\/3*v**6. Determine p so that s(p) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 2, z: 1, m: 1, l: 2}. Give prob of sequence jmju.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:24 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 762 divide 933450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and 125\/24881712?\nAnswer: 124408560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/743, 1, -473, 1\/7, 0.5, -2\/15?\nAnswer: -473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1166 - -578. Let j = -588 - p. Solve l = u + 1, -2*l = -j*l + 5*u - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/1*(-23)\/(-184)*-8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21458285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158265630*v**3 - 6207534*v - 4 wrt v.\nAnswer: 949593780*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66\/(-99) - 15\/(-10). Let h = -6 + 9. Factor 1\/2 + 1\/3*d**2 - d**h - b*d**4 - 1\/6*d**5 + 7\/6*d.\nAnswer: -(d - 1)*(d + 1)**3*(d + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 137*b - 138*b. Let z = b + 49. Suppose -z*x - 3*m + 75 = 0, -2*x = m + 3*m - 40. What is the lowest common multiple of x and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2*p - 4. Let a be u(4). Let w(o) = 2*o + a*o - 5*o. Let t(x) = -3*x + 8. Let c(f) = 2*f - 5. Let b(d) = 8*c(d) + 5*t(d). What is w(b(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -15*m**5 + 2345*m**4 - 34695*m**3 - 696905*m**2 + 975870*m - 246600 = 0?\nAnswer: -12, 1\/3, 1, 30, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -0. Suppose 4*d - 3916 = n*p + 3*d, 2*p + 3908 = 3*d. Round p to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4\/3 + 3880*l**3\/3 + 33375*l**2.\nAnswer: -5*l**2*(l - 801)*(l + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2699 - -2698.9. Let o = 0.05 - -1.95. Let q = -287\/2546 - -1\/134. Which is the third biggest value? (a) q (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60797 is divided by 60755.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 + 2 = 0. Let x(o) = o**3 + 4*o**2 + 3*o. Let d be x(g). Suppose -d*b = -7*b + 15. Solve -2*r - r = b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 0*k - 3*k)*(-8*k**3 + 9*k**3 + k**2 + 0*k**2) to the form b*k**2 + h*k**3 + w + f*k + s*k**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -79.227?\nAnswer: 47.5362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159635238 is divided by 39908803?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425*k - 8492 - 32357 = 7601 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:15 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**32*k)**5 assuming k is positive.\nAnswer: k**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 4, 11, -43.049?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653474 = 9*b - 47077. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 78.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 91. Suppose -u + 4*u - 8 = -2*n, 0 = -2*n + 3*u + 8. Suppose t + 6 + 10 = -4*g, -n*t - g - 4 = 0. Is l(t) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10020.3 and -1?\nAnswer: 10020.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 132*n**2*o**2 + 39278*n**2*o - 361*n**2 + 33*n - 147 wrt o?\nAnswer: 264*n**2*o + 39278*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*u*u**7 assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t + 18 = 360, -25*l + 4*t - 9*t = -24*l - 43 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363570271.\nAnswer: 107, 3397853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - m**2 + 1. Let u be s(4). Suppose -197 = -2*o + u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 304, 721, 1300, 2041, 2944, 4009?\n\"Answer: 81*a**2 + 12*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6741 by 9.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1022 - 546 + 23383*o - 476 to the form c*o + n and give c.\nAnswer: 23383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3113 is divided by 101.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/387)\/2)\/(74\/333)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Which is the smallest value? (a) 0.4 (b) 4 (c) -3\/4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -88. Let a(n) = n**3 + 11*n**2 + 14*n - 5. Let i be a(h). Let o = 28 + i. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8841 + 4454?\nAnswer: -4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138046 = -2*z + 2*h - 225964, -z - 5*h = 181975. What is z rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47680550945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 - 8*z - 3. Let b be k(-3). Suppose 4*c + 220 + 11 = b*l, c = -3*l + 246. Let h = -2 + l. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 14*s + 27 - 53 - 4 - 26 in the form u + c*s and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/12 + l**3\/3 + 2*l**2 - l. Let t = -393 + 387. What is the remainder when n(t) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 6)*(0 + -1). Suppose -b - 49 - 31 = -4*i, u*i = -2*b + 87. Suppose 3*w = 6*w - 6. Solve -2*x - 4*o - 12 = -6*x, 3*o = -w*x - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -9006.09583?\nAnswer: -9005.69583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343448.\nAnswer: 2, 7, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 5*c**2 - c**2 + (-2 + 2 - c)*(4*c - 2*c + 0*c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 10 - 17 - -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36400 and 25550?\nAnswer: 2657200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*j + 58 = 0, 12*z - 7 + 211 = -4*j for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n + 5. Let q(c) = 15*c + 6. Let f(i) = -i**2 - 7*i + 93. Let b be f(7). Determine b*u(g) + 4*q(g).\nAnswer: -10*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4944 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b**2 + 7*b - 17. Let s(v) = -11*v**2 + 4*v - 9. Let x(a) = 3*r(a) - 5*s(a). What is x(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 + 0 = x, -k - 10 = -5*x. Let c(m) = m**2 + 5*m + 1. Let d be c(5). Suppose k = -2*a + d - 13. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 3393 = 135. Let z = k + 515. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 e when three letters picked without replacement from {c: 3, e: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-116018 + -3)*11\/((-33)\/36). Let x = d - 2499252. What is x rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 + 8 = 0. Which is smaller: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50 and -334?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -40.8001 at most -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {o: 3, s: 1, j: 3, k: 1, r: 1, v: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/10)*n*n**(-6)*n)\/(n*n**(1\/9)*n*(n**1*n*n)\/n*n*n) assuming n is positive.\nAnswer: n**(-901\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - -0.1. Let d = 197 + -372. Let o = 174 + d. Sort r, 4, o.\nAnswer: o, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4261, -4262, -4263, -4264, -4265?\n\"Answer: -q - 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4355 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1336.7 * -0.1\nAnswer: 133.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 153879395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*r + 4*r - 27 = 0, 15 = 3*r. Let p be (5\/(-10))\/(18\/j). Sort p, -3\/8, -0.4.\nAnswer: -0.4, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 50*t**3 - 453*t**2 - 94*t + 1075. Determine i(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmfbfmmmb. Give prob of picking 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5203503 to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*u + 10*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 13*x**2 + 7*x + 65. Determine m(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 928133.5l in millilitres?\nAnswer: 928133500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 443*q - 25533. What is t(55)?\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 32*d + 120. Let a be (-4)\/d*((-162)\/(-12))\/3. Suppose 0 + 3\/4*l + a*l**3 - 3\/2*l**2 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*-1 + sqrt(136) + sqrt(136) + (sqrt(136)*-1 - sqrt(136))*-1)\/(1*2*sqrt(40)\/sqrt(5)*5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29010 by 3.\nAnswer: 9670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -50, -60, -60?\n\"Answer: 5*x**2 - 35*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -990 + 969. Let q(g) = -g**3 - 20*g**2 + 2*g + 27. What is the units digit of q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -19, 1\/4, -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 8*i - 252.\nAnswer: 4*(i - 9)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 1. Let w be k(-6). Let h = -51 + 55. Solve x = -w*g + 15, -h*x = -7*g + 2*g + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*l**3 + 3*l - 198*l**3 + 8*l**2 + 99*l**3 - l**2.\nAnswer: l*(l + 1)*(4*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466806.\nAnswer: 2, 3, 77801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - c - 5*c + (-22 + 3 + 1)*((-2*c + 0*c + 0*c)*(-2 - 2 + 2) + 3 - 7*c - 3).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -23998\/959?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1394064 nanograms to tonnes.\nAnswer: 0.0000000000000001394064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-39)\/(-15) + -3)*25\/(-2). Suppose -q*r - 4*t = -1654, 12*r + 5*t = 7*r + 1655. Calculate the highest common factor of r and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 216068, 216070, 216074, 216080?\n\"Answer: q**2 - q + 216068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13*-44651455\nAnswer: -580468915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 52 = -968. Let n be (68\/g)\/((-1)\/5). Let j(i) = i**2 - 6*i + 10. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.601885 to two decimal places.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-244*i - 1351 + 565*i - 316*i).\nAnswer: -10*i + 2702","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*p = -303, -5*x = -2*x - 2*p - 173. Let y = 102 + x. What is the greatest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 55 = 12*g. Let r = 0 - 2. Let w be (4 + -2)*g + r. Solve 4 = -2*j + w*o, -4*j + o = -o - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**3 - 23*x**3 + 50*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 757913261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2192 or -9.1711?\nAnswer: -2192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98247 is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 19*k - 11. Let b be o(-10). Let m be (-260)\/3393 - (-2)\/18. Which is greater: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5613, -11201, -16789?\n\"Answer: -5588*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**23\/u)\/u**(-26))\/(u\/u**(6\/7)*u*u*u**(-1\/2)))**1 assuming u is positive.\nAnswer: u**(649\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75346 (base 8) in base 15?\nAnswer: 94c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -262\/1799 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 401839, 803533, 1205213, 1606873, 2008507, 2410109, 2811673, 3213193?\n\"Answer: -o**3 - o**2 + 401704*o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79633?\nAnswer: 79633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + 2 + sqrt(833) + (sqrt(68) - sqrt(68)*1 - sqrt(68))\/sqrt(4)))**2.\nAnswer: 1872*sqrt(17) + 103572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from {k: 9, g: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2*-6)\/1. Let d = r - 7. Let n be (-3)\/(-2) + 13*(-3)\/6. Sort 4, n, d in descending order.\nAnswer: 4, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 8*c**2 + c + 6. Let i be (-2)\/4*166*-1. Suppose i = 5*g - 47. What is the remainder when g is divided by a(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(-v**3 - 3*v**3 + 2*v**3)*(7 - 3 + 3 - 1 - 3 + 3 + (4 - 5 - 1)*(-4 + 4 + 1) + 2 + 0 + 0 + 3 - 2 - 2).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012827 to seven decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7506032 divided by -2\nAnswer: -3753016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 675*l**4 + 23775*l**3 + 67325*l**2 + 66000*l + 21780.\nAnswer: 5*(l + 1)**3*(l + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.071093l?\nAnswer: 5071.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 12*l + 17 = -8*l, -4*c = 4*l + 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + 0.04. Let l = -9545\/4 + 2423. Let p = 37 - l. What is the closest to -1 in 0.4, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 6*o - 3. Let n be h(4). What is the third derivative of -7*v**5 + 4*v**n - 31*v**2 + 9*v**2 + 17*v**5 wrt v?\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014839 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 20*r - 25. Let t be v(23). What are the prime factors of 395\/2 - (-47)\/t?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(5\/3)*(x\/x**(-9))\/x**6)**12 assuming x is positive.\nAnswer: x**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 at most as big as -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -7.8.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31785 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 - -6566?\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = 29. Let h be 20\/t - 2\/(-9). Let c be 10\/h - -1 - -2. Is -2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14441651?\nAnswer: 7, 97, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -707*n**2 + 719 wrt n?\nAnswer: -1414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.056 and -453079215.\nAnswer: -453079216.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -546 and -88.1.\nAnswer: -634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 931823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from jdrdrrrrkdkk?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/8*12\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*v**2 - 30*v**2 + 323*v**2)*(-5*v**2 + 339*v - 339*v).\nAnswer: -2720*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 136*d**2 - 9*d + 8. Does 7 divide r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**4 + t**3 + 12119827*t + 12645198 wrt t?\nAnswer: -8*t**3 + 3*t**2 + 12119827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l + l - l - 5*l**2 - 2*l wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1442986 + 0.01.\nAnswer: -0.1342986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 64*c**5 - 1400*c**4 + 3644*c**3 + 16760*c**2 - 34500*c - 27000 = 0.\nAnswer: -3, -5\/8, 5\/2, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + 2*t**5 + (1174 - 617 + 669)*(-4*t**5 + t**5 + 2*t**5).\nAnswer: -1224*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 2.1. Let k = 1.26 + o. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 408, 419, 454, 525, 644, 823?\n\"Answer: 2*u**3 - 3*u + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122 and 38.\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1107244.\nAnswer: 2214488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, -12, -2\/23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 10. Let q be b(8). Let j be q\/(-7) - (-4)\/(-14). Let g be (-2)\/(-2)*(j - 57). What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwrzzrrrwszdzz. What is prob of picking 1 r, 1 w, and 1 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3083 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 698, 19\/24, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - o**2 - 15 + 0*o + 11 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 519411571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*v - 0*j - 70, -2*j = 3*v - 50. Solve -5*s + 3*g = -g - 36, -v = -4*s + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119949?\nAnswer: 13, 313, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170 + 132. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 238*u\/3 + 103840\/3.\nAnswer: -2*(u - 176)*(u + 295)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1176*z**4 + 3*z**3 - 6 - z**2 + 1179*z**4 - 7*z**3 - 2*z in the form c*z**2 + n*z**3 + b*z**4 + u + j*z and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o**2 + 61*o + 101. Determine x(-11).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.228404 rounded to one decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 16) to base 8\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*k**3 - 2907*c**2*k**2 + c*k**3 + 3*c*k**2 + 314*k**3 wrt k.\nAnswer: -6*c**2 + 6*c + 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -35445 (b) 5\/2 (c) -1\/4 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:24 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -123. Let n = 280 - q. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, -19, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + d - 4. What is m(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = 3*s, -3*u - 15 = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -88736\nAnswer: 1\/44368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 + 0)*(36*z**3 - 80*z**3 + 39*z**3 - 21*z**2)*(2 - 3 - 2) to d*z + p*z**2 + y*z**3 + a and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 - 15*r**2 + 15. Suppose -12*h + 24*h - 180 = 0. Let c(d) = d**3 + 4*d**2 - 4. Calculate h*c(p) + 4*t(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -3*sqrt(133)*-1 + sqrt(133))\/(sqrt(1400)\/sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(13\/52). Suppose 2 = -s, 4*r - 5 = 3*r - q*s. Calculate the smallest common multiple of 24 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 148\/3. Let r = -0.28 + -0.02. Let q = 2480 - 2475. Which is the closest to h? (a) -19 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:21 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 6168 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, 3, -3\/5, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*r - 10 - 2 = 0, -4*r - 15 = -3*a. Let b be ((-6)\/(-8))\/(4\/16). Is 596\/b - (-3)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 + 714*i - 4134. Determine h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 589254 + -5?\nAnswer: 58924a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -251123104?\nAnswer: 251123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895*f + 14064 = -16*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*u = -1, -4*m = -0*u - u - 11. Let y(g) = 4*g**2 - 6*g + 1. Calculate the remainder when y(m) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*l - 26068 + 26105 = 0, -2*l + 13 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1954 or -534?\nAnswer: -1954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 47. Let n = f - 42. Which is the nearest to 0.2? (a) 1 (b) 0.03 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10436*d**4*i + 2*d**3*i + d**3 + d**2*i + 50*d*i - 64*d + 2 wrt d?\nAnswer: 250464*d*i + 12*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 20*f**2 + 23*f + 50. Let y be p(-21). Suppose -9*j = -11*j. Suppose 288 = 4*d - j*d. Calculate the highest common factor of y and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5598 and 4086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6274 or 6275?\nAnswer: 6274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*c - x, -5*x - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 - 28 = 0, 2*c = 5*t - 1945. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 2144856?\nAnswer: 21448560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 2*h**6\/5 + h**4\/6 + 6*h. What is the third derivative of r(q) wrt q?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q. Suppose q*h + 2 = -h. Let r be (-10)\/24 + 3\/(-12). Is r < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 76530*n - 76979*n as a + z*n and give z.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2841 - 3457.1. Let i = -587 - s. What is i rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-216)\/192*(-40)\/15. Let x(p) = 40*p**3 - 8*p**2 + 8*p - 8. Let u(v) = 13*v**3 - 3*v**2 + 3*v - 3. Calculate z*x(y) - 8*u(y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(645\/(-86))\/(2\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6415706801 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 - 222*g - 2158. Give d(-9).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101001000?\nAnswer: 101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 24573. Let c(m) = 2*m. What is c(u(v))?\nAnswer: -4*v**2 + 49146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24584 + -24578. Let g(c) be the third derivative of -1\/20*c**5 + 0*c + 0 + 9\/2*c**3 + 1\/120*c**y - 3\/8*c**4 - 34*c**2. Factor g(i).\nAnswer: (i - 3)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 338 = -62. Let i be x\/3 + (-2)\/(-3). Solve 0 = -3*c + 3*s - 2 - 7, 0 = 2*c + 2*s + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18492.35 - -18496. Put c, -6, -3, 1\/2 in ascending order.\nAnswer: -6, -3, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 80*t**2 - 26*t + 1047. Determine q(40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 377524 and 56.\nAnswer: 755048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 48*m = -195 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1043 + 1046. Calculate the greatest common divisor of 89 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from mkjxkx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 e when four letters picked without replacement from ysveyeveeyeveysyeyy.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 9*r**2 + 398*r - 3048. Let y be m(8). Solve 14*o - y = -22*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -104.08. Let j = 0.08 - n. Let v = -0.847 + 0.447. What is the biggest value in j, v, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) - (8 - (14 + -2)). Solve -18 = 3*o - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113047 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: What is the value of (-44)\/28*(9*9\/27)\/3?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {k: 1, w: 9, m: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21\/y**(-8\/7))\/(y**(2\/11)*y)**(-35) assuming y is positive.\nAnswer: y**(4890\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:40 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/20 + 3\/(-15) - -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 229346?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28735 divided by 821\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 10*c**2 + 16*c - 27. Give r(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/129 and 133\/2064?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5547 + -5546. Which is smaller: 1\/693 or q?\nAnswer: 1\/693","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 7. What is the remainder when 92 is divided by t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymlnynmnllmilinmhnh. What is prob of picking 2 l and 1 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/50567868 and -23\/556246548.\nAnswer: 556246548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.26 - 0.04. Let v = -3.3 - j. Let g = v - -1. Which is the nearest to -2\/3? (a) -1\/6 (b) g (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 8, -7, -1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*p, k + 2*p = -2 - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195668947.\nAnswer: 195668947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -2)*(-1)\/(-2). Let g = -11 + k. Let v = -7 - g. Calculate the remainder when 6 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcflclffx. What is prob of sequence lxcc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 286442 = 0. Suppose 0 = -2*z + 6*z. Suppose -y - w + 906442 = z. Round y to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 45776*h - 261930272.\nAnswer: -2*(h + 11444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a5567 (base 11) in base 5?\nAnswer: 2012101332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3388572366 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 274*t**2 + 45209*t - 75. What is h(-165)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 126127933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 11)*(18*c**2 - 36*c + 36*c)*(-c + 3 - 3)*(2 - 7 + 3).\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 x, and 1 a when four letters picked without replacement from {x: 2, y: 1, a: 1, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 1, q: 5, e: 10}. What is prob of sequence emme?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 666642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(132)*2 + sqrt(132))\/sqrt(12) + sqrt(176)*-4) + -3.\nAnswer: -3 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7)*t\/t**(4\/9))\/((t*t*t*(t**(9\/2)*t)\/t)\/(t**(-10\/11)\/t)) assuming t is positive.\nAnswer: t**(-2941\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0214547 rounded to two dps?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v**3 - 15441*v**2 + 4410*v.\nAnswer: 3*v*(v - 735)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(33) + sqrt(165)\/(sqrt(5)*1) - sqrt(396)\/sqrt(108))\/(sqrt(33)\/(sqrt(3) + 1*sqrt(3)*-2)).\nAnswer: -5*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 - 35 = 0. Suppose 6*n = 8*n - o. Let l be 7 - (n + 1 + -4). Solve 30 = l*c + 5*j, -6*j + 19 = 3*c - 2*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 18. Let w be (-3)\/q + 3\/18. Suppose -2*u + 4*y + 40 = w, 0 = -u - 5*y - 15. Solve 4*v = 2*v + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000031608 to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708337?\nAnswer: 3, 41, 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0*f**4 + 0 + 3*f**4 - 1) + (-284*f**3 - 99*f**3 - 404*f**3)*(-f - 2 + 2).\nAnswer: 784*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 - 174. Calculate the highest common divisor of 888 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24262 - -46031. Let w be z\/(-3388) + 2\/(-8). Let s = 48\/7 + w. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234*f - 125*f + 17 - 36*f - 8 to y*f + t and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852 a factor of 87636640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.215 and 0.02507.\nAnswer: 0.10567005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, 6, -2\/15, 112 in ascending order.\nAnswer: -3.5, -2\/15, 6, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3675 and -43\/1029.\nAnswer: 25725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1. Let t(g) = -g - 3. Let s be -9 + ((-2)\/(-7) - (-14)\/(-49)). Let v be t(s). Let f(l) = 2*l - 4. What is v*w(m) + f(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175546907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17814.\nAnswer: 2, 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/490 and 1584\/132 + 1629\/(-140)?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + p - 15, 5*p - 35 = -q. Let d be 5\/q + (-2)\/(-12). Is d >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 100011021210222?\nAnswer: 100011021211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**4 - 2266131*i + 582257662.\nAnswer: -12*i**3 - 2266131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, i: 3, e: 3}. What is prob of sequence ieii?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 - 130. Let x be ((-22)\/n - (-5)\/(-15))\/(-1). Let d(y) = -2*y**2 + 12*y - 4. Calculate the remainder when 69 is divided by d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478504 divided by 478504?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in 2\/9, 0.9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -235 - -236. Calculate the common denominator of -31\/65 and (-4)\/18 - (b - 1083\/1350).\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 22*n + 24. Let v be d(-16). Let c be v\/(((-9)\/(-14))\/3). Suppose 4*z + 2703 = 3*l, -l - 5*z + c = -341. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88350637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-944)\/826 - (-22)\/(-42)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107.4 and 31663.\nAnswer: 31555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 + 5*c**3\/2 - 6*c**2. Let y = -102 - -127. Let w = 25 - y. Determine x(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 1080 = 20*h. What is the common denominator of 1\/288 and (188\/(-192))\/((-30)\/h)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -3*z + 996. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56046, -59297, -62548, -65799, -69050?\nAnswer: -72301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 313 - -63?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-1\/38)\/(c**(-16)*c\/c**(8\/9)) assuming c is positive.\nAnswer: c**(10877\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13608761.\nAnswer: 41, 331921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 0 + (2 - 2) + 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 5.9. Let o = -1.871 - -0.071. Let a = o + t. What is a rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*w = 1, 4*w + 442 = 3*x + 466 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose -2*h + f*j - 24 = 0, -3*j = -0*h + 2*h. What is the units digit of (2\/(-6))\/(2\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14045 - 7295. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u = -80*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174a (base 12) to base 16.\nAnswer: -aea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -3\/2, -1\/5, -1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 174794 = -25*i - t, -3*i - 2*t + 131098 = 0. What are the prime factors of i?\nAnswer: 2, 3, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 9) to base 6\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320 (base 5) to base 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 145*n - 45. Let k be r(-4). Let u = -623 - k. Solve -u*i + 4 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/60 + t**4\/24 - t**3\/6 + 4*t**2. Let p(k) = -4*k**2 + 4*k - 1. Give -2*i(x) + p(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 + 921 = 77*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11125 - 11135. Which is the closest to -5? (a) -0.2 (b) n (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/(-91) - -13 - (-1 - -7)) + -2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*66\/11*((-185)\/(-13801))\/(-5).\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 28. Let z be ((-7)\/2 + 2)*i. Suppose -4*h = -4*b + 32, -z*h + 6 = -h. Solve 5*f - 9 = b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 5*z**2 - 4*z - 4. Let s(w) = -405 + 6*w**2 + 400 - 2*w**3 + 0*w**3 - 5*w. Give 5*f(y) - 4*s(y).\nAnswer: -2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3353*g**5 + 32*g**3 - 3*g - 26291 wrt g?\nAnswer: -67060*g**3 + 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 c, and 1 t when four letters picked without replacement from attlccclcccv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (sqrt(98)*-2 + sqrt(98) - sqrt(98)) + sqrt(2) + ((sqrt(726) - sqrt(6)) + sqrt(6))\/sqrt(3) - (sqrt(20)\/((sqrt(80)*-2)\/sqrt(8)) + 2))**2.\nAnswer: -22*sqrt(2) + 129\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -59, -1, 37\/7, -2\/45, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m**5 - 5661695*m**4 - 38498710*m**3 - 76996890*m**2 - 33969105*m + 10190745 = 0 for m.\nAnswer: -226461, -3, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 15*s**3 + 10*s**2.\nAnswer: 5*s**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -320034240?\nAnswer: -320034220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 46 = -2*b - 0*o, -5*o - 55 = 3*b. Let k be ((-85)\/b - 1)\/(3\/10). Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -86*(-2)\/36 + 12\/54. Suppose a*o - 9*o = -336. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4386, -4384, -4380, -4374, -4366?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0*b**2 - 1\/12*b**4 + 0 + 37*b + 0*b**3. Let j(k) = 2*k**2 + 11*k. Determine l(j(x)).\nAnswer: -4*x**4 - 44*x**3 - 121*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 0.5, -3, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let f = z + -4. Let o = 11.6 + -9.6. Which is the nearest to 1\/3? (a) f (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6192512 is divided by 1017?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-25)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k - 2. Let n(a) = -a**2 + 6*a - 7. Let s be n(3). Let w be g(s). What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-737)\/(-22)*-2*1. Let v = h + 44. Let r = 25 + v. Solve 2*c = -5*g + 19, 0 = 6*c - r*c + g - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/21 smaller than -248\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 70717 + 61885. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107 - (-4 + 1 + (-4 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + -3d?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*t - 3*o - 11, o - 3 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2140, -4181 in decreasing order.\nAnswer: 4, -2140, -4181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 134*u - 40*u + 4 - 36*u - 35*u.\nAnswer: -10*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(40) - sqrt(200)\/sqrt(5)) + sqrt(40) + sqrt(640) + (sqrt(640) - 4*sqrt(640)) + sqrt(640))\/(sqrt(200)*-2 + (sqrt(8) - sqrt(56)\/sqrt(112))).\nAnswer: 12*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 1 + 1 + (10*i - 4*i + 3*i)*(-4*i - 2*i + 3*i) + 46*i**2 + 117*i - 117*i to t + y*i + f*i**2 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*-2*(sqrt(50) + sqrt(50)*-1 + sqrt(50)).\nAnswer: -10*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i + 4. Let y = i + 0. Let a(n) = 65*n**3 - 2*n**2 - n. Let d be a(y). What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -153*g**3 - g**2 + 10*g + 16. What are the prime factors of v(-2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1039*c**2. Let d(f) = 313*f**2. Calculate d(j(y)).\nAnswer: 337890073*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 10. Let k = r + 16. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -551487\nAnswer: 1102974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-4*i - 16*i + 33*i)*(-1 - 3 + 2).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4821 + 26928. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20718639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 22*x**2 + 28*x - 45. What is the thousands digit of o(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8505 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2608 and 2128?\nAnswer: 346864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269299419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + -173?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*c - 8813 = 224 - 897 + 15606 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017357982 to 4 dps.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 13 = 4*r - q, -5*q - 40 = 5*r. Let i = -3 - 10. Let u = r - i. Calculate the lowest common multiple of u and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1075 + 1140. Solve 0 = -38*j + p + 87 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -18.8, -31\/4, 48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8084.21160066 - -8085.6116. Let j = 4 + -5.4. Let p = u + j. What is p rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -29*w**2 + 51*w**2 - 5*w**2. Let b(a) = a. What is b(g(r))?\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 13*i + 407 = 4*h, -5*i = -2*h - 389. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 - 11*x - 24. What is d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*c - 3*d = 909*c - 5, -2*c - 2 = -2*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Suppose -4*w + s - 1398 = 0, -5*w - 1712 = -n*s + 41. Let c = w + 758. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2 + 23 - 10*t - 2*t - 8*t**2 + 18*t**2. Is 2 a factor of a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 6. Let s be a(-3). Suppose -c - 2*c - 144 = -2*f, -f + s*c = -72. Let l be ((-17)\/3)\/((-6)\/f). Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -41*c - 3. Let b be n(4). Let y be (1 - 0 - -1) + -110. Let r = y - b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14497.9991973 - -14498. What is k rounded to 5 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2345\/134*72\/14. Solve 36*j = 18*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let x be g(-2). Suppose 0*a = y + 2*a - 10, 0 = x*y - 4*a - 4. Suppose 4*d + 4 + 8 = -3*p, y = -p. Solve h + 4 + 1 = d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5537*r**2. Let t(c) = 104*c**2. Calculate t(s(n)).\nAnswer: 3188470376*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4 - 4 - x. Let c(w) = -20 + 41 - 26 + 4*w. Let r(g) = -1. Let n(m) = -c(m) + 5*r(m). Calculate n(i(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*4\/((-12)\/7). Suppose 3*u + i = 25. Which is smaller: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = 5*f. Let b = 2 - f. Solve -k - 2*x = b, -4*k - k = -2*x + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, -9, 1 in ascending order.\nAnswer: -24, -9, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 203?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -3*h. Let u = 41 - h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77010047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -13, -204, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))\/c**3)**4\/((c*c**(-1\/5)*c*c*c**(-1\/4))\/((c*c**0\/c*c)\/c)**(-1\/34)) assuming c is positive.\nAnswer: c**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let c = j - 0. Solve -c*d + 8 = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 0.4, -2 in decreasing order.\nAnswer: 0.4, -0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z - 3*z - 72*z**2 + 38*z - 5*z + z**4 to the form a + w*z**2 + c*z**3 + f*z + g*z**4 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3625*x + 1681*x + 1715*x + 11908 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 956 + -956.04. Let z = 0.4 + 1.6. Put o, -0.5, 0.2, z in descending order.\nAnswer: z, 0.2, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 - d + 0. Suppose -t = 4*t - 10. Let n(b) = -b**2 + b**2 + 2*b**t. Give g(n(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96475, -192663, -288851, -385039?\n\"Answer: -96188*z - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 2*z - 13908. Let o = z - 740. What are the prime factors of o?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09504356 to five decimal places.\nAnswer: -0.09504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*h = 13, 2*i - 211*h + 214*h = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*z + 292, 1987*z + 15 = 1984*z. Is i >= 284\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1156*d**5 - 30872*d**4 - 459264*d**3 - 1400832*d**2 = 0. Calculate d.\nAnswer: -96\/17, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/12)\/((-1)\/(-12)). Suppose -w = 1 + y. Let z(m) = m**3 + 6*m**2 + 5*m - 1. Determine z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97368 is divided by 3476.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 10 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpr when three letters picked without replacement from {d: 3, r: 10, p: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*u + 2323 = 337 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1314044 (base 5) to base 2\nAnswer: 110011000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689549 bigger than 4689534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + y + 10*y - 6*y. Let o(m) be the second derivative of m**3\/6 + m. What is i(o(n))?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3985709, -3985710, -3985711, -3985712, -3985713, -3985714?\n\"Answer: -q - 3985708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1407 - -648. Is z greater than or equal to -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 507.\nAnswer: -25.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/(6\/15). Let i = -13 - j. Let a(g) = 2*g + 15. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -572 - l**2 + 516 - 917*l**4 + 934*l**4 + (-2*l + l**4 + 2*l)*(0 + 2 - 3) in the form p*l + d*l**4 + r*l**2 + c + h*l**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000847 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11491403 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11479 is divided by 5732?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.05 (c) 9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 16. Let z be v(14). Let x = 33 - z. Let -2\/5*l**x + 0 - 1\/5*l**4 + 0*l**2 + 0*l = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -18. Let d be k - (-2)\/(8\/(-12)). Suppose 2*o - 32 = w - d*w, 5*w + o = 31. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 3*g)*(-1 + 0 - 1)*(-6 - 2 + 1).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:55 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - c = 769, 3*c + 1923 = -2*q + 7*q. Calculate the smallest common multiple of 1 and q.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2, v: 1, i: 3, x: 2, q: 6}. What is prob of sequence iv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let g(z) be the first derivative of z**5\/120 + 3*z**3 - 11. Let v(a) be the third derivative of g(a). Give d(v(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -18. Sort -4, w, 5, -2\/9 in descending order.\nAnswer: 5, w, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/17 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 take away 526.5611?\nAnswer: -600.5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -0.2, -4\/7, -1\/7, 12\/13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 2*y + 2. Let p be b(-2). Let s(m) = -m**3 - 5*m**2 + 2*m - 8. Let c be s(p). Differentiate -2 + c*w**3 - 7*w**3 - 3*w + 3*w wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let c(t) = t**2 - 54553*t. Determine c(d(a)).\nAnswer: 4*a**4 + 109106*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 12, m: 3}. Give prob of sequence md.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 545.7 or -1\/2?\nAnswer: 545.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -319 + 314 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 7. Suppose l*k - 25 = 0, 0*k - 3*k + 39 = 4*w. Solve w*c + 4 = 2*d + 3*c, 4*c + 24 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.132541ug?\nAnswer: 0.000008132541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 21)\/(-2 + 3). Let x = t + 31. Solve a - 6 = 4*a + 3*h, -x*a - 3*h - 16 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + (sqrt(99)*1 - sqrt(99))) - sqrt(99)) + sqrt(99))*6)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 3}. What is prob of sequence km?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -72 (b) -3 (c) -5 (d) 4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmmjjmwzmwzmmmajc. Give prob of sequence wjwz.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 3, w: 10}. Give prob of sequence mbb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o + 6. Let u be v(1). Factor 0 - 2*z**u - 4\/3*z**3 - 2\/3*z.\nAnswer: -2*z*(z + 1)*(2*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/50 <= 349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9880 and 5393440?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1650 or -1648?\nAnswer: -1650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193898826 a multiple of 3518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2685810, 2685822, 2685832, 2685840, 2685846, 2685850?\nAnswer: 2685852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 - 1\/5*x**5 + 2\/3*x**3 + 2\/3*x**4 - 9*x - 4*x**2. Let c(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48076681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 163 + 23 = 0. Let n = 22 + x. Let l(h) = h**3 - 13*h**2 + 13*h - 9. What is l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b + 2. Let p(t) = -7*t - 1. Let a be 0\/(-3)*1 - 2. Let w(l) = a*j(l) - 5*p(l). Give w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*y - 19 = 0, -4*a - 3*y = y - 24. Let t = 64 - 63.61. Let j = t + -0.09. Is j <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297.974721 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -5.2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (49\/28 + -2)\/(6\/8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469547 is divided by 467447.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731 - 1362 + 0*n + 41*n - 1368.\nAnswer: 41*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 4709 (c) 3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 147?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, t: 7}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2875783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1098, 1105, 1112, 1119?\n\"Answer: 7*v + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377933 and 8841?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - d**2 - d + 2. Let c be i(3). Let w = -35 + c. Solve w = 4*p + 4*v, -v = 4*p + v - 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -0.4, -5, -4\/7 in increasing order.\nAnswer: -5, -3.7, -4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(75\/975*13\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -219*t. Let p(w) = -w. Calculate -j(a) + 292*p(a).\nAnswer: -73*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2581*p + 4272*p + 2386*p to the form a + w*p and give w.\nAnswer: 9239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/4 + j**3\/3 + j**2 - 6*j - 8. Let u be k(0). Let t(a) = -a - 2. What is t(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34558*v**4 + 88114 wrt v.\nAnswer: 138232*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/2)*u)\/u*u**(4\/9)\/u*((u\/(u**(2\/7)\/u*u*u))\/u)**(11\/3))**(1\/11) assuming u is positive.\nAnswer: u**(-475\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 444 and 53?\nAnswer: 23532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2821 + 2826. Let n(v) = -2*v + 1. Let k be n(6). Sort -2, k, 0, g in descending order.\nAnswer: g, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 298295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34772 = 5*j - 267092. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let w(j) be the first derivative of -10 + 0*j**2 + 0*j - 13\/3*j**3. What is w(v(n))?\nAnswer: -117*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 - 1239*a**2\/5 - 1236*a\/5.\nAnswer: -3*a*(a + 1)*(a + 412)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 20. Let k be ((-117)\/(-42) - 12\/6) + 2\/(-7). Which is the smallest value? (a) h (b) -3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 + (-13)\/11. Suppose 0 = 48*o + 30*o - 113*o. What is the nearest to -0.03 in o, w, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 5 - 13*j**3 - 54*j**4 + 11*j**3 + 9 to u*j**2 + y*j + l + m*j**4 + r*j**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 19*s**2 + 18*s - 8. Let o be y(-18). Let t be 21 - 2\/(o\/4). Suppose 2417 - t = 5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6494 and 1088.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556 and 84651?\nAnswer: 338604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1106 - 5.\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-8))\/(1\/((-48)\/60)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q)\/(q*q*q**(-2))*(q**(-2\/5))**49 assuming q is positive.\nAnswer: q**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 208555667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 31554*b**2 - 1260599*b - 1229046.\nAnswer: -(b + 1)*(b + 39)*(b + 31514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let j(v) = 15*v**2 + 3*v. Give j(t(l)).\nAnswer: 15*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 10*z - z + 3*z to v*z + u + l*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -32. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.559 - -0.558996446. What is k rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/7 (c) 5 (d) -0.1 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/70 + w**4\/21 + w**3\/7 + 52*w. Factor x(u).\nAnswer: -2*u*(u - 3)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 - 30*j - 214. Calculate c(-7).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.3 (c) -0.2 (d) -4 (e) -6 (f) -141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 141\/(-12))\/(39\/(-208)). Let f = -72 + j. Let p(h) = 2*h**2 + 3*h - 11. What is the units digit of p(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*b**2 - 2*b**4 - 100*b + 277*b**2 - 5*b**3 - 98*b + 205*b - 13*b**3 in the form p*b + u*b**4 + v + g*b**3 + c*b**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(100)\/sqrt(2))**2 + 4 + -2 + 3*sqrt(500)\/(sqrt(10)*-3 - sqrt(10)))*6.\nAnswer: -45*sqrt(2)\/2 + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699885 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1618 + 33?\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*h = 95*h - 308. Sort 5, 1, h, -3, -11 in descending order.\nAnswer: 5, 1, h, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-1\/7))\/j*j**(1\/46)\/j)\/(j**18\/j**(2\/13)))**(-2\/29) assuming j is positive.\nAnswer: j**(75211\/60697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134727*s + 134563*s + 3116 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2\/11 (b) 39352 (c) -129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69328 = -1185*g + 1178*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -966543 in -4, 0.4, -3.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**7\/315 + 3*k**4\/4 + 2*k. Let y(b) be the third derivative of z(b). What are the prime factors of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.25154mg in grams?\nAnswer: 0.09625154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1055 + 1058. Solve -2*a = -4*x - 2, 8 = -a - 4*x + p*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 - 15*q + 25. Calculate h(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 276 = 278 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*y**2 - 549*y - 58*y - 28*y**2 - 18*y**2 in the form b + z*y + w*y**2 and give z.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129991207389 - -0.1066.\nAnswer: -129991207388.8934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 0*f**2 - 4*f**2 - 8*f**2 as n*f**2 + q*f + m and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from nnwtnwanwa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 979 - 980 + 1944.\nAnswer: z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 31*r + 18. Let y(s) = s**2 + 5*s + 2. Give -u(w) + 6*y(w).\nAnswer: 4*w**2 - w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**8\/1512 - 2*p**7\/105 - p**6\/60 + 3*p**5\/5 - 6*p**2 - 11*p + 6. Suppose z(f) = 0. What is f?\nAnswer: -3, 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 2*q - 1. Let s = 2 + -4. Calculate i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865840.\nAnswer: 2, 5, 83, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpfafsfrvsvfrffprvr. Give prob of sequence pv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1005)\/1273)\/(35\/(-14)). Suppose -8\/19 + p*a**2 - 22\/19*a = 0. Calculate a.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-20) + (-2)\/4. Let w = 151 - 152. Which is the smallest value? (a) w (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2568 and 749.\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26245291661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 25\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/(23\/((-805)\/14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 5*g + 6. Let a be m(-6). Suppose a*t + 100 = 5*t. Solve 0 = -k + 5*k - t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162 + 224?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - z**2 + 3*z + 1. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267 + 261. What is the remainder when ((-1176)\/16)\/(c\/4) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*t + 15*t + 3 - 147*t - 3)*(-27*t**2 + 10*t**2 - 23*t**2).\nAnswer: 12800*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17715 - -17958. Which is the third smallest value? (a) 1 (b) 6 (c) m (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 5*f. Let h = 4 + f. Solve 3*t - 1 = -4*v + 4, v + h = -5*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + 8)*1*73. Let u = c + 113. What is the third derivative of 40*y**3 - u*y**3 - 4*y**5 + y**2 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261186 divided by -96?\nAnswer: -630593\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9344078ml to litres.\nAnswer: 0.0009344078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 201110 (base 3) to base 11\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 15) + (2 + 14 + -4 - 5)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2) - ((-4901)\/26)\/(-13). Let m(d) = -2*d**3 - 24*d**2 + 9. Determine m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14353930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 374338223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 58170, -4.\nAnswer: -4, 1\/7, 58170","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (21 + -22)*(-30)\/1. Suppose t - 27 = -3*n, -3*n + 2*t + 56 = 2*n. Calculate the greatest common factor of s and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180459 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113003303 (base 4) in base 7?\nAnswer: -5154622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31618367953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6766841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 73, 152, 273, 442, 665, 948, 1297?\n\"Answer: o**3 + 12*o**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 3:34 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6836411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 9. What is b(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 3*v + 113. Let b(c) = -c**2 + c - 57. Let w(j) = -5*b(j) - 2*f(j). Let o = -186 + 186. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-294)\/18)\/((-15)\/450) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 167 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60862181*y**5 + y - 25667325 wrt y.\nAnswer: 1217243620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 + 333)\/(3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 + 1010110?\nAnswer: 10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/146397 - 4440889\/13175730. What is the common denominator of r and -4\/3?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302487 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1644 + 1254 = 10*n. Let x(r) = -2 + 5 - r - 5 + 0*r. Let s = 7 + -13. Let b(t) = 6*t + 13. Determine n*x(a) + s*b(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254930172 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.2 (c) 8\/217 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23*a**2 + 5*a + 12. Let x(c) = 57*c**2 + 12*c + 30. Let b(d) = -12*h(d) + 5*x(d). Differentiate b(u) with respect to u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388 divided by -12?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 - 24*r + 2. Let o be -3 + (-8 - (-8 + 3)) + 0. Let x be a(o). Let z(y) = -y**2 - 7*y - 7. Let w be z(-5). Solve -g + x = -w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -16 + (4 - 22) - (-24 + 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 228*f - 23. Determine v(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*19\/3 - 19. Let i(j) be the first derivative of 0*j + 0*j**4 - 2*j**2 + 21\/5*j**5 + u*j**3 - 10. Find the second derivative of i(b) wrt b.\nAnswer: 252*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.756617 months in centuries?\nAnswer: 0.0189638475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 237. Is k < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(405) + 0 + sqrt(5))) + (1*sqrt(5) - sqrt(5))*6.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -22*v - 27. Solve 5*p + v*j = 7*j, 5*p - 2*j = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.04 (c) 0.2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 105636 divided by -12\nAnswer: -8803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 50 + 53)*(2 - 1 + 0)*(1 - 1 - l**2).\nAnswer: -91*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = -2*j, 4*j - 248 = -16*n - 204 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2 (b) -0.05 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116730102 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7822*y + 1927. List the prime factors of a(1).\nAnswer: 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 - (-2)\/3. Let l be -1 + 1\/1 + (-90)\/30. Is g >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 5*x - 4. Let y be i(3). Suppose -y*z = z - 27. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -12222?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-43*c**4 + 13*c**4 + 18*c**4) to the form a*c**4 + v*c**2 + f*c + l*c**3 + k and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(176) + -3)*-2 - ((sqrt(77) + 1*sqrt(77) - sqrt(77))*2)\/(sqrt(84)\/(sqrt(36)\/sqrt(3)))) + 0)**2.\nAnswer: -3312*sqrt(11) + 24572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1203345 divided by -33\nAnswer: 36465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21148, 41608, 62068?\n\"Answer: 20460*k + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29115 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 2*k + 5 - 2*k**2 + 5*k**3 - 9 + 3. Let c be ((-1)\/(0 - -1))\/1. Determine p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/2 - 4249930*u - 33999472 = 0 for u.\nAnswer: -8, 8499868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75227 - 126652 = -605*s for s.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:26 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 622 and -2.4.\nAnswer: 619.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 159, 237, 313, 387?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1\/1)*6*21\/28\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*-1*(-8)\/(-36). Solve 2*g + w*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2912*f**3*q**6 - 7*f**3*q**3 + 84*f**3*q - 97*f*q**2 wrt q?\nAnswer: -349440*f**3*q**3 - 42*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*l - 2*l**2 + 5*l**2 + 181*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5660*s + 2342*s = -66576 - 9448 - 180040 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - 0) + (9 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 6223310.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900602*s + 4340 = 900532*s for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/2, -0.05, 2\/3, 3, 1342?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 22. Let v be p(-3). Let w(t) = 13*t - 6. Let x be w(v). Let f = 88\/15 - 26\/5. Do f and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206363)\/(-3383) - 1*34?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/3 + 278753*p**2\/3 - 19427063080*p\/3 + 58273663152 = 0. Calculate p.\nAnswer: 9, 139372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + q = 13, 4*q = 3*f + 2*q + 4. Let t = 7 - f. Suppose 5 = -4*k - t*j + 17, 12 = 4*k + 4*j. Solve -4*m + k*m = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420445621 plus 0.1?\nAnswer: 1420445621.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33812*p - 33837*p + 400. Let w = -4 - -8. Solve 0 = -a + m - 5*m - 3, w*a - p = -2*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143363162 to the power of 1\/3, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000317 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 0.2, -2, 14, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**3 - 105*s**2 + 150151*s - 213679958 with respect to s.\nAnswer: 12*s**2 - 210*s + 150151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4 - -9) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2d3 - -2?\nAnswer: c2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21*c + 880. Let p be s(42). Put p, 2, 85 in ascending order.\nAnswer: p, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:35 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7019 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60269 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-45)*21)\/((-2)\/(-9)). Sort -2, 5, 4, k in decreasing order.\nAnswer: 5, 4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444416 (base 7) in base 6?\nAnswer: 1403005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - a + 3*a)*(5*a - 2*a - 4*a + a - 5*a + 5*a - 2*a + 0*a + a + 3*a - a + 0*a + (a - 5*a + 3*a)*(-1 + 4 - 2) + 4*a - 2*a + 0*a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -64701.028 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275894 is divided by 136923.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - ((-85)\/25 + 3)*-95. What are the prime factors of 56\/n*(-873)\/6?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10889*a - 12991.\nAnswer: 10889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 103 + 313 = 0. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-465)\/(-5)*(-1)\/(-1) is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -2 - (5 - 16)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (152\/380)\/(2\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 114 = -12*y. Suppose y*j - 42*j = -55192. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/2829611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {s: 2, f: 1, l: 5, v: 3, m: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6235 - -6242. Let l(d) = -d**3 + 10*d**2 - 8*d - 7. What is l(h)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**11*b)\/b*b*b**(-3\/16))**(8\/9) assuming b is positive.\nAnswer: b**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, 0.3, -0.004?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19 at most 344.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1256 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + y)*(4 - 5 + 3) + 6*y - 3*y - y - 69*y - 9*y + y)*(-5 - 5*y**2 + 5) to the form x*y**3 + h + p*y + m*y**2 and give x.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2222?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37420 and 17213200.\nAnswer: 17213200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 103. Let r(a) = -a + 26. Let u(t) = 2*d(t) + 9*r(t). Let q be u(0). Calculate the highest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*x - 16688, 2*z - 3*x + 2*x + 8342 = 0. Let t be z\/(-66) - (-2)\/(-12). Let a = t + -35. What is the least common multiple of a and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*j + k, 1046 = -5*j - 2*k + 1030 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 554*l**2 - 29679*l + 19240. Determine h(494).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 121*p + 181. List the prime factors of i(-55).\nAnswer: 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852993.27 milliseconds in hours?\nAnswer: 0.236942575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -146*d**3 - 5*d**2 + 7*d. Let s(z) = -z**3 + z**2 - 2*z. Determine 4*s(r) + w(r).\nAnswer: -150*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 + 29. Calculate the remainder when 258 is divided by c(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad - -5?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 55*y**2 + 5. Let j be x(55). Suppose -3*d + j*d + b = 1, -5*d = 3*b. Calculate the remainder when 38 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3505, -3512, -3523, -3538, -3557?\n\"Answer: -2*t**2 - t - 3502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5526899 and -83\/1579114?\nAnswer: 11053798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 55*y**2 - 147*y + 2030. What is the remainder when v(13) is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + m)*(-19*m + 39*m + 30*m)*(3 - 4 + 2).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 122 = 0. Suppose 0 = -r + 5*z - 0*z - 21, r + 5*z + u = 0. Let n = -29 - r. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 41. Does 11 divide u\/(8\/2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 = 4*l, 4*u - 159*l - 14 = -162*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 5*z**2 - 5*z + 4. Let k be t(4). Let o = 14653 - 14652. What is the fourth biggest value in 3, k, o, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) -153\/19 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -134 times 0.1073199\nAnswer: -14.3808666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2608\/15 + -174. Sort -1, 0.5, w.\nAnswer: -1, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((9\/4)\/(-1))\/((-2)\/(-24)). Let r(b) = -b**2 + 4*b + 4. Let v be r(-5). Let k = x - v. Calculate the remainder when 54 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**4 - 11*n**3 - 32*n**2 - 44*n - 24. Let l(o) = 10*o**4 + 34*o**3 + 97*o**2 + 132*o + 72. Let i(k) = -7*a(k) - 2*l(k). Factor i(f).\nAnswer: (f + 2)**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 29*i - 3*i + 9*i as o + q*i and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*i**3*l**3 + 53*i**3 - 9*i**2*l**2 + 4*i*l**5 + 2*i*l - l**3 wrt l.\nAnswer: 186*i**3 + 240*i*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54320 by 10864.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by (-14 + 2 + 49)\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 21*n - 46. Let b = n + 26. Is b >= 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2097136 or 2\/11?\nAnswer: -2097136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 18. Let x(h) = -13*h - 18. Let o(r) = 3*r + 5. Let p(k) = -9*o(k) - 2*x(k). Determine p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (1 - (-5 + 3)). Let s be 1 - (-1 - 0)*x. List the prime factors of (-1)\/((-3)\/12 - s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 13 = w - 2*w + 3*j, 17*j = 5*w + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5*o - 4*o)*(4*o - 2*o - 3*o) + 30*o + 4*o**2 - 30*o - 6*o**2 + o**2 + o**2 + (o - 3 + 3)*(-2*o + 2 - 2) + 3*o**2 + 20*o - 20*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2 - 4. Calculate the highest common divisor of 48 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:08 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (7 - 3)) + -5 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 27. Let g = 15 + -10. Let l = b - g. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by -11.\nAnswer: 177\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-3)\/(-210)*10\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j - 12. Let d = -77 - -75. Let c be q(d). Solve -c*k - 20 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z + 2. Suppose 3*l = 4*o + 14, l + 3*o + 1 + 3 = 0. Let i be y(l). Calculate the remainder when i + 10\/2 - (-26 - -1) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613966.\nAnswer: 2, 19, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:09 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k - k. Find the common denominator of -67\/2 and k\/20*57\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2 and 17\/2802?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54012\/37 - 1460. Let m = v + 130\/259. Let k = 3 + -6. Which is the nearest to m? (a) k (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 243 and 20875203.\nAnswer: 20875446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14144 - 7085 - 13*l + 12*l - 7090.\nAnswer: -l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:06 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 28 = -48. Suppose 0 = 4*c - 0*c - r - 955, -z*r = -c + 215. Calculate the greatest common divisor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1305 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9 + 0*d - 5*d.\nAnswer: -5*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 4*i - 1. Let g = -1202 + 665. Let f = g - -535. Let q(x) = 11*x**2 + 9*x + 3. Calculate f*q(c) - 5*m(c).\nAnswer: 3*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390284508 is divided by 2590?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 44*b**3 + 51*b**3 - 104*b**3 + 7*b**2 as a*b**4 + q*b**3 + x*b + i + d*b**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -0.381 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1495793017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**7\/2520 + k**4\/24 + 5*k**2. Let b(y) be the second derivative of o(y). Let p(q) = -13*q. Give b(p(x)).\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 49802?\nAnswer: 49802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -91*s - 619. What are the prime factors of a(-38)?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**2 - 4 - 3 + 5*v**3 - 1 + 8*v. Let h(z) = -5 + 8*z**2 + 5*z + 3*z**3 + z**2 + 0. Let g be (4\/6)\/(3\/36). What is g*h(k) - 5*c(k)?\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + 16*g - 17*g - 3*g**3 + 9*g**2 + 5*g**3 as l + z*g + m*g**2 + t*g**4 + r*g**3 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r + 28. Let j = r - -20. What is the tens digit of 21\/1*4\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243076, -2486162, -3729248?\nAnswer: -4972334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -83*59\nAnswer: -4897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**14)*o*o\/(o*o**(-15)*o))\/(o**0*o\/((o*o*o\/o**(-2\/63))\/o)) assuming o is positive.\nAnswer: o**(191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Let m = -2 + p. Solve -3*y - k - 2 = 0, y + 5*k - m = 2*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -353*7\/(-49) + (-4)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from fmfmfedfmmfmmm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/1155)\/((-10)\/75)*2\/(-12)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -578, 18, -3, 4, -2, -4 in decreasing order.\nAnswer: 18, 4, 0, -2, -3, -4, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5357 + 804877*q**3 - 5357.\nAnswer: 804877*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 103 = 112 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/(-2 + 0). Suppose -q - q - 2 = d. Let j be (-2 - (-6 - q)) + 2. Solve 0 = 4*i + j + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6344385 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.193 (b) 0 (c) 6 (d) 3 (e) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/8)\/(18\/(-12)))\/(16233\/1546)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -135*x**2 - 435140*x - 112805 = 0.\nAnswer: -3223, -7\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-1))\/((-1)\/2). Let s(u) = -110108*u**2 - 1. Let a be s(n). Let v = a - -2363889. What is v rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6 + 2\/3. Let k = t - 3. Let m be (0 - k)*(-4 - -5). Solve 1 = -m*w - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y - 1. Let o(m) = 69*m + 77*m - 223*m - 4 + 75*m + 8 + 3*m**2. Determine 2*c(s) - o(s).\nAnswer: -s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -103. Let i = 16 - 1. Suppose 0 = -4*b + b + i. Solve -x*v - 5*d + b = -2*v, 2*d = -5*v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t**2. Let q(u) = 3*u. Let d(g) = -11*g. Let k(z) = 4*d(z) + 14*q(z). Calculate y(k(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/44*(-2)\/6)\/(152\/(-144))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(1\/6). Let p be -4 - (-7)\/((-14)\/4). Put p, -1, l in ascending order.\nAnswer: p, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 44. Calculate the highest common factor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let g(n) = 6*n**3 - 5*n**2 - 3*n + 2. Let m(p) = 5*p**3 - 5*p**2 - 2*p + 2. Let w(k) = 4*g(k) - 5*m(k). Give w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12237145 and 375885.\nAnswer: 110134305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(-128*t**2 + 104*t**2 - 685*t**2) + t**2 - t**2 + 2*t**2)*(0 + 3 - 5).\nAnswer: -2840*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 229454311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/24 + y**3\/6 - 2*y**2. Let i(a) = a**3 + 17*a**2 + a + 20. Let h be i(-17). Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462889449 to the nearest integer?\nAnswer: 21515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 2*d**2 + d**2 + (-5*d + 3*d - d)*(-2*d + d + 3*d) - 11 + 3*d**2 + 11 - 1 + 2*d**2 + 1.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 0*h + 0*h + (2*h - 1 + 1)*(6*h - 12*h + 0*h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -15. Let f be (x\/70)\/((-1)\/4). Which is the second biggest value? (a) -1 (b) f (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14451 divided by -1.\nAnswer: -14451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15812 = -2*y - p, 4*y = 3*p + 31591. Round y to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/d**4 assuming d is positive.\nAnswer: d**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3404344, 3404343, 3404342?\nAnswer: 3404341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 + 2432*f**4 + 253572*f**3 - 1601008*f**2 + 828176*f + 2680320 = 0.\nAnswer: -96, -1, 2, 5, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*i*z - 16*a**2*i - 2*a*i*s*z + 3*a*i - 4*a + 527132*i*z + 2*i - 2*s + 629 wrt z.\nAnswer: -2*a**2*i - 2*a*i*s + 527132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -479, -812, -1143, -1472?\n\"Answer: x**2 - 336*x - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 6160000 = -8*b. Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/16 + 33\/16. Do 3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-4158)\/(-28)))\/(2\/3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = h + z, -5*z + 9 = -h. Suppose 0*k + 48 = 2*k. What is the remainder when k is divided by 26\/(-8)*h*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2 + 16*l - 36. Let x be d(-7). Suppose -3*u + 0*u = -a - 6, -x = -a - 5*u. Let t(p) = p**2 - 3*p - 1. What is t(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8790 - -84210. Round s to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 23*x**2 + 17*x - 64. What is the remainder when w(-24) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-182) - (-8)\/28)\/((-78)\/(-156))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 10*t**2 + 277*t + 285. Does 2 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - (-4 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 2750.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 752.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-2)\/(-6) - 71\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 2, x: 1, c: 3, y: 4, i: 8}. What is prob of picking 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211\/6 - 104\/3. Let j = 43\/3 - 14. What is the nearest to j in c, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3582 and -43\/162.\nAnswer: 32238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 239449 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, -36985, -5, 3 in increasing order.\nAnswer: -36985, -5, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75.07 and 0.2465?\nAnswer: 74.8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5448 - 2530 + 3242 = -616*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:49 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33355, 33273, 33073, 32755, 32319, 31765, 31093?\n\"Answer: -59*k**2 + 95*k + 33319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5766*s - 1874*s - 1940*s - 1880*s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 29*l + 13. Calculate n(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 3\/3) + 7. Solve 5*z = 3*j + 35, -32 - l = 4*j - 4*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by -5730.\nAnswer: 57\/1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -259388.\nAnswer: 259391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*g**5 + 2175*g**4 + 89899*g**3 + 59209*g**2 + 9828*g = 0. Calculate g.\nAnswer: -189, -52, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(224)\/sqrt(4))\/sqrt(8).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219330877427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:03 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 3, c: 3, p: 1, x: 1, d: 2}. What is prob of picking 1 c, 2 d, and 1 p?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 46. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 - 5*o**2 + 7*o + 5. Let g be x(3). Suppose z + 109 = g. Is z != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18472.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 2*s**2 - 3*s + 1. Let n be k(3). Let l(y) = -7*y + 1. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.8. Let w be ((-2)\/6)\/(32\/(-36)). What is the second smallest value in 1, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15741 (base 9) to base 15.\nAnswer: -330a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3875\/10 + 0)*(-1040)\/(-1). What is z rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let h = r - -3. Suppose 0 = 4*v + 4*m, 8 = h*v - m - 7. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1a01?\nAnswer: 19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.4, -6, 5 in descending order.\nAnswer: 11.4, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 4, 10.7, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -0.3. Let d = -13 - -8. Sort -4, d, b in decreasing order.\nAnswer: b, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -23. Let a = p - -23. What is the remainder when 5\/a*(-8 + 34) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43692 = -7*d - 5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4134816 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**5 - 5*z**4\/2 + 5*z**3\/3 - 25. Find r such that d(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2004\/(-1670)*10*8\/6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 54*f + 717. Let t be z(30). Put -73, t, 15 in ascending order.\nAnswer: -73, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - b = -17, -4*b + 24 = -2*s + 3*s. Suppose 0 = 70*i - 74*i - 88. What is the least common multiple of (-4)\/i - (-258)\/33 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454144?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 - 0.9. Let f = j - 6. Let h = 189 - 188. What is the nearest to h in -0.1, -1\/3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -217, -491, -875?\n\"Answer: -55*b**2 + b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1145 - 439. Let w = -16308.3004 + 17014.29727. Let j = w - o. Round j to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - s + 1. Suppose n + 2*b = 9, 4*b - 21 = n - 4*n. Suppose 3*l - 2*k = -2*l + 23, -n*l - 3 = 3*k. Let z = -1 + l. Determine t(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 - 13011*n**3 + 312840*n**2 = 0.\nAnswer: -13035, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -10932?\nAnswer: -21864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 353*p**2 - 103*p**2 - 2*p**3 + 4*p + 13 - 79 - 120*p**2 - 102*p**2. What is z(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9517 and -0.9.\nAnswer: -8565.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 1\/((-3)\/(-3)). Suppose -k = 4*h + 26, -3*h + k - 16 = -n*h. Let v = -4 - h. Solve -3*b + v*p - 2 = 0, p - 3 = 2*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/((-6 + 7)\/(-2)). Suppose 12 = -3*q, 0*f - 20 = 4*f + q. Let b be (-48)\/(-22) + -2 - f\/88. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 4*v**2 + 6*v + 2. Let z(t) = 2*t**3 + 5*t**2 + 6*t + 2. What is -5*r(i) + 4*z(i)?\nAnswer: -2*i**3 - 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3448237 * 0.13\nAnswer: 448270.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (3 + 3 + 9 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 4*c - 3*c - 3*c**3 + 4*c + 0*c**3 to w*c**2 + u*c + r*c**3 + g and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 21*u + 28, -254*p - u - 30 = -258*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yylylpllllflpllpyypn. What is prob of picking 1 y and 2 l?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**3 - 2*v**3 + v**3)*(-413*v + 620*v + 665*v).\nAnswer: -6976*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1484007 at most as big as -5936029\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 27*i**4 + 15*i**3 - 194*i**2\/3 + 76*i\/3 - 8\/3 = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1927*q**2 + 2970*q**2 + 4 - 4.\nAnswer: 1043*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 736\/414. Solve 4*b - 3*o = -12, -q*b = -0*o + 2*o + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*v - 3*v = 115, -80 = -5*o - 2*v. Let j(k) = -11*k. Let f be j(1). Let c = o + f. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 17*l**2 - l - 15. Let j be c(-17). Suppose -4*m + 452 = 5*b - j*b, -5*b - 3*m = -735. Let x = -66 + b. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*k - 3*w + 11, 4*k + w - 8 = 0. Let f be (-5104)\/(-3872) + (2\/11)\/1. Factor 3\/2*n**k + 0*n**2 - f*n - 3\/4 + 3\/4*n**4.\nAnswer: 3*(n - 1)*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.14 (b) -2\/7 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/3 + 11*z**2 + 9*z. Let o be s(-9). Let x be 9 - (-5 + 16\/o). Solve i = -5*b + 26, 0*b = -b - 5*i + x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -1\/3, -0.3, 0.1, 0.2256, -11, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 40.6204 hours?\nAnswer: 146233.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*z + 10 = 0, 0 = 4*k + 12*z - 16*z + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p**3 - 2712*p**2 + 63051*p + 21318 = 0 for p.\nAnswer: -323, -1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 1676352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -19*o + 1. Let g be j(-2). Suppose 2*a + g = 3*h + 6*a, -3*a = 0. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 > -3759545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4532.457 rounded to the nearest integer?\nAnswer: -4532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-1260)\/(-400))\/(-21))\/(6\/10). Let x = 455\/6 - 76. Which is the nearest to l? (a) 4\/5 (b) x (c) -2\/21 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 30. Let k be ((-36)\/z + 3)*-2. Suppose 857 + 1813 = k*c. Round c to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5319 and 34869?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 5677*h**2 + 45442*h - 68172.\nAnswer: -(h - 6)*(h - 2)*(h + 11362)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.0082051 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 133*g**2 + 29*g + 232. Does 248 divide l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 5 - 5)*(-2 - n + 2*n + n).\nAnswer: 6*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 10 (b) -286 (c) 0.4 (d) 1\/11 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*t**3 + 13*m**2 - 142*m*t**2 - 4*m - 5*t wrt t?\nAnswer: -12*m**2*t - 284*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69046 divided by -1?\nAnswer: -69046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, h: 1, o: 2, k: 2}. Give prob of sequence kg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y. Let g(p) = -3*p. Let x(j) = -7*g(j) + 4*n(j). Suppose -q + 3*q = 6. Let k(l) = -q*l**2 + 3*l**2 + 5*l**2 - 3*l**2. Determine x(k(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024755 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 12*t - 7. Let s = 124 + -69. Let z be (s\/(-10))\/(1\/2). Let h be n(z). Let m(l) = -l**2 + 7*l - 5. Give m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104.787 and 0.5.\nAnswer: -52.3935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*d + 13, -d - 4*f - 18 = -0*f. Suppose -d*v + 12 = v. Let n be (6\/v)\/((-6)\/8). Put 1\/11, n, 4 in increasing order.\nAnswer: n, 1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Suppose 5*y + 3*y = 24. Determine q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*((((-3*sqrt(7))**2 + sqrt(7))*-4 - sqrt(21)\/sqrt(3)*6) + (sqrt(42)\/sqrt(96) + sqrt(35)\/(sqrt(20)\/sqrt(4)))*-1).\nAnswer: -250 - 45*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 865979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 5:24 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 37. Let q be (-8)\/6*8\/(32\/(-30)). Suppose q*a - 516 = 6*a. What is the remainder when a is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/((a*a**(-1\/8)*a)\/a)*(a\/(a\/a**(-1\/2)))**(37\/5)*a**3\/a**1*(a*a**1*a*a*a)**(-30) assuming a is positive.\nAnswer: a**(-5903\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t - 35*t + 3417 + 70*t.\nAnswer: t + 3417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 8, x: 8}. What is prob of picking 1 z and 2 i?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-1\/22)\/f))\/f)\/(f\/f**(-1\/7)*f)*((f\/((f*f**17*f*f*f)\/f))\/f*f)\/f**(-2\/25) assuming f is positive.\nAnswer: f**(-73217\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -458810, -458808, -458806, -458804, -458802?\n\"Answer: 2*k - 458812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2796 and 1\/54?\nAnswer: 25164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*f**2 - 107 + 458*f**2 - 798*f**3 + 461*f**2 + 800*f**3.\nAnswer: 2*f**3 - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407419 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*y = -118235, 4*a - 155*y + 157*y = 236458. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o - 65 = 0. Suppose 0 = p - 2 - 3. Suppose 3*l - 59 = p*a, -26 - o = -2*l + 3*a. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114386 + -1.96502.\nAnswer: 114384.03498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*(j\/j**(2\/7))\/j*j*j)\/(j**5*j**7) assuming j is positive.\nAnswer: j**(-123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228541 is divided by 284?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -61*g + 2*g + 6960. Which is greater: -28 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l**3 + 756*l**2 + 6794*l + 1424. Give f(55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 111*f - 198. Let j(c) = c**2 - 27*c + 50. Let q(n) = 15*j(n) + 4*r(n). Factor q(h).\nAnswer: 3*(h - 1)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/77 - (-4)\/(-330)*51. What is the closest to 0 in 0, b, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.03 + 6. Let n = 165464\/11 - 15042. What is the nearest to -1\/4 in d, n, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 379 in increasing order.\nAnswer: -3, -1, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*o + 141, -5*s + 2*o - 9 = -156. Suppose 25 = 3*t - s. Calculate the smallest common multiple of (-4)\/18 + 56\/9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -277122*k + 1939855. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378019 plus -126577?\nAnswer: 1251442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1827623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/180 and -23\/112?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 2}. What is prob of sequence qeee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(-2*a**4 + 7*a**4 - 3*a**4) + 73*a**3 - 4*a**4 + a**5 - 73*a**3.\nAnswer: -3*a**5 - 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4250, -8505, -12760?\n\"Answer: -4255*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -251. Put -1, -8, -2, i in descending order.\nAnswer: i, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 23\/6, -2\/13, 254, -2\/29?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + z)*(z - 3*z + 0*z) + 2067621*z + 4262*z**2 - 2067621*z.\nAnswer: 4264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 - (6 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -171\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16934742 and 6534.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttmtttttmtt. What is prob of picking 1 m and 1 t?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 5. Let j be a(5). Suppose 3*h = 4*i - 2*h - 81, j = -5*i - 4*h + 132. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s - 7*s - 50*s**2 - 12*s to f + c*s**2 + r*s and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 803*t**2. Let h(o) = o**2. Calculate h(y(c)).\nAnswer: 644809*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7*g + 31 = -3*g, 4*a = 5*g. Suppose -z - 245 = -a*c, -3*z - 2*z = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-872*y**2 - 4*y + 894*y**2 + 3*y - 2)*(-7*y**3 - 4*y**3 + 4*y**3).\nAnswer: -154*y**5 + 7*y**4 + 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 894 + -893. Sort 0, q, -15, 5, 3 in decreasing order.\nAnswer: 5, 3, q, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -272, -364, -458, -554?\n\"Answer: -h**2 - 89*h - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53682 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.32 - 4.98. Let i = b - -1.3. Let t be 2\/9*2\/4. What is the biggest value in t, -1\/2, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 129786 and 0.1?\nAnswer: 12978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -157*z**4\/12 - 879*z**2\/2 - 204*z. What is the derivative of s(d) wrt d?\nAnswer: -314*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - 3*z**2)*(451*z**3 - 450*z**3 - 7*z**2 - 2*z**2).\nAnswer: -z**5 + 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136634 + 136649. Let k(t) = -10*t. Let u be k(-3). Solve -25*o = -u*o + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -102712189?\nAnswer: -2\/102712189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*d - 5*b, 4*b + 87 = -4*d + 63 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8412 + 8377.855. Let w = 0.145 + y. Let x = w + 34.0144. Round x to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 4, l: 3}. Give prob of picking 1 c and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + 23\/(-7). Let h be (1 + d\/(-15))\/2. Which is the closest to 0.1? (a) -0.2 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 957, 1156, 1435?\nAnswer: 1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4937, 19481, 43135, 75419, 115853?\nAnswer: 163957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 27, 33, 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -4, 18, -1\/12, -1\/5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n - 4. Let u be i(0). Let r(y) = -9*y - 3. Let j be r(u). What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37605839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(28) - sqrt(7)) + -3)**2.\nAnswer: -6*sqrt(7) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from yyylylylylyyyyyyylyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21 = -1. Let k = s + 0. What is the second derivative of -2 + 2 + k*a + 2*a**5 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -r - 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:47 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -7, -4.\nAnswer: -7, -4, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -43*m - 285. Determine d(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:43 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2019 = 26*d - 25*d, 3*d + 1017 = u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/7)*((q\/q**(-1))\/q)\/q*q*(q**5\/q*q)\/q**(-1\/2)*(q**(1\/3))**(-3\/29)\/(q\/(q**0*q))**(-50) assuming q is positive.\nAnswer: q**(2393\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i + 7. Let o(l) = l - 1. Let k(v) = -b(v) - 3*o(v). Does 15 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 8 - 6*b + 4*b - 4 to h + r*b and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/46, 0.05, 350.7?\nAnswer: 350.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*r - 64*r - 70 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244900 by -2449.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*a + 26 + 26 = -198*a + 2*g + 42, 3*a + 5*g = 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 - 224421344?\nAnswer: -224421200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28311 != 28269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*i**3*q + 251*i**3 + 15717*q wrt i.\nAnswer: -114*i**2*q + 753*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2*x**2 + x + 1)*(1 + 2 + 6).\nAnswer: -18*x**2 + 9*x - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g + 9. Let p be s(4). Suppose p*m + 72 = 1122. Round m to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -653200 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3812 * 0.5.\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:38 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 11 - 15 = 0, -2*x - 174 = -2*o. What is the greatest common divisor of 4664 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + y)*(-11 + 1 + 1)*(0*y - 2*y + 3*y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379, -4219, -7059, -9899, -12739, -15579?\nAnswer: -18419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 + 0 - 7 + 4*m. Let v = -254 + -1120. Let k = v - -1391. Let p(q) = -11*q + 20. What is k*z(y) + 6*p(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3332 divided by 476?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, -5, -0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4513, 15885, 34847, 61405, 95565?\n\"Answer: f**3 + 3789*f**2 - 2*f + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/75)\/2)\/(6\/70*(-518)\/(-333)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuv. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-26)\/(-18))\/((-2)\/(-9)). Let f be -10 + (544\/40 - 3). What is o in 0 - 3\/5*o**4 + f*o**i + 6\/5*o - 9\/5*o**3 + 3\/5*o**5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/720 + 2*x**5\/45 - 7*x**4\/36 - 11*x**2 + 5. Solve p(i) = 0 for i.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 992254301.71737 + -991626830.04736933. Let w = -627472.14 + s. Let y = -0.47 - w. Round y to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -498*t + 600. Let l be p(24). Let i(b) = 4655*b + 2. Let m be i(4). Let y = m + l. Round y to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54610, 54496, 54272, 53884, 53278, 52400, 51196?\nAnswer: 49612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 11*c - 42. Let y(i) = 18*i**3 - 6*i**2 + 4*i + 5. What is the tens digit of y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3201 - 3198. Which is the nearest to 0.1? (a) -1 (b) v (c) 55.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to 9.516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 - x + 15. Let a be h(0). Suppose a + 0 = 3*w. Put w, -2, -5 in ascending order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100220 rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/3 - 42523*b**3\/3 - 1000472*b**2\/3 + 1638895*b\/3 + 354750 = 0. What is b?\nAnswer: -25, -1\/2, 2, 21285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176.8825662 minus -447?\nAnswer: -729.8825662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (4 - 2 - -2). Let b be (12 - 11)*2\/1. Suppose 1 = -i, 4*k + b*i = 7*i + 41. Solve -k = -2*m - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5552.4 to the nearest ten.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/4, -124, -0.174, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 80.2. Let z be 1*-16 - (4 + -2). What is the third biggest value in -4, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -0. Let j be 4\/6 + 5\/(-3). Let n = -5 + 7. What is the closest to -0.1 in j, w, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*s = -3*s - 496 + 502, s - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(2)*1) - (sqrt(54)\/sqrt(3) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -18.12. Let y = -40.6 + g. Let w = y - -23. What is the biggest value in 3, w, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 491*d**2 + 115091*d + 4622597.\nAnswer: -(d + 71)**2*(3*d - 917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -537981 - 3*p - 229*p**2 - 367*p**6 + 537981 wrt p.\nAnswer: -44040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g**7*g)\/(((g*(g**(-10)*g)\/g)\/g)\/g**7) assuming g is positive.\nAnswer: g**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 - 77 = -128*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1720\/19 + -26361\/304. What is the common denominator of s and 97\/866?\nAnswer: 6928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 19, 34, 45, 46, 31?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000399706 rounded to 7 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 942 = z + 2*z, -3*o + 709 = z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404419 less than -4359416?\nAnswer: -4763835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 4*t**2. Suppose -3*r = 16 - 31. Let d(a) = 2*a**2. Give r*d(x) - 3*j(x).\nAnswer: -3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/2 + 17236*j**2 + 103423*j\/2 + 34475 = 0?\nAnswer: -2, -1, 34475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1521, 1407, 1111, 543, -387?\n\"Answer: -15*n**3 - n**2 - 6*n + 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17500*5\nAnswer: -87500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*m - 2956 + 3024 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 95459*h. Let r(d) = -d**2. Give r(l(s)).\nAnswer: -9112420681*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:13 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-3))\/(24\/108). Let b be (360\/(-14))\/(w\/420). Suppose 0*c = 6*c - b. What is the highest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53322 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 20, 5*f - 219 + 239 = 26*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -4, 152, 14, -22 in ascending order.\nAnswer: -22, -4, 14, 29, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 30 - 3*z**2 + 53 - z - 3*z**2.\nAnswer: -6*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 9*i**2 + 6*i - 8. Suppose p - 8 = -3*p. Suppose 4*v - l + 30 = -2*l, p*v = -4*l - 8. Let s be z(v). Solve 3*g + s + 7 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(30\/(-27)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**3 + 4*c**2 + 20*c - 29. Let i be j(8). Let k = i - 5374. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 2. Suppose -s = -2*d + d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 8*i + 5. Let g be r(8). Which is the biggest value? (a) -2\/7 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -20, -38, -62, -92?\n\"Answer: -3*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/66)\/(135\/120))\/((-2)\/3)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11277 (base 8) in base 16?\nAnswer: 12bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 2*f**2 - f. Let b(d) = 56*d**4 - 6*d**3 - 65*d**2 + 6*d. Let s(t) = b(t) + 6*r(t). What is the third derivative of s(w) wrt w?\nAnswer: 1344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3 + 2000*s**2 + 13628*s - 86768 = 0.\nAnswer: -493, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -1.8. Let h be -5*(-3)\/(5 - 2). Let n be h + 78\/(-18) - 16\/15. Put n, q, 0 in decreasing order.\nAnswer: q, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25455350.\nAnswer: 2, 5, 311, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + v**3 + 9*v**4 - v**5 - 5*v**4 - 7*v**3 + 4*v**2 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*z = -21 - 14, -20 = p - 5*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031211 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175038 is divided by 2501.\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -857, -1549, -2241, -2933, -3625, -4317?\n\"Answer: -692*k - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363287989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q - 5*z + 33 = 0, 0 = -q - 5*z + 27. Suppose -43 = -q*k - 11. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 w when four letters picked without replacement from wueed.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -16. Let s(j) = -9. Let n(c) = 4*k(c) - 7*s(c). Let i(m) = m. What is -i(x) - n(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -99\/7967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 417.1719g?\nAnswer: 417171900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88704 and 631296?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 4053853\nAnswer: 12\/4053853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 58. Let r(l) = -10*l + 15. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c + 6. Let h be k(3). Suppose 3*i + 15 = h, 2*i = -4*r - 0*i - 46. Let q = r - -36. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -29*b**3 + 2*b**2 - 5*b + 3. Let m(c) = 14*c**3 - c**2 + 3*c - 2. Calculate -5*m(a) - 3*s(a).\nAnswer: 17*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100110 + 1111110010000?\nAnswer: 10000100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13796 = 4*v - 0*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -8.8, -4, 5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from efeeefeeesfefjfefj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27986519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6. Let n(b) = b - 2. Let p be n(10). Suppose 4*m - 3*m + 4 = 5*a, -5*a = 3*m - p. What is the remainder when m is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)*3732\/12. Let n be 3\/(-15) - b\/5. Suppose -3*v + 148 = -n. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789265611 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 6, t: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 3*k. Let b(w) = -2*w**2 - k*w + 2*w + 0*w**2. Let l(h) = -4*h. What is b(l(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/28)\/((-2)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73971.99m in kilometers?\nAnswer: 73.97199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 22 = -5*t - 3*p, 5*t - p - 12 = 0. Suppose -2*q - 5*x + 2510 = -1258, -12 = t*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 17*y - 42. Let t be x(-14). Suppose -8*a + 28*a - 2880 = t. Calculate the highest common factor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 78 = 176 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + g - 7. What is w(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-387)\/(-301)*(-8)\/(-8)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6064 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 266684, 266683, 266682, 266681, 266680?\n\"Answer: -o + 266685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.79 - 6.747. Let w = k - 24. Round w to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 6. Let x = -4 + 4. Let m = -4 + x. Is v(m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 4*z - 2 - 3*z - z. Let t(p) = 3*p**2 + 13*p + 9. Let k(m) = m**2 + 4*m + 3. Let i(f) = 7*k(f) - 2*t(f). Determine -3*d(j) - 2*i(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18695104 is divided by 61700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-10)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112220211 (base 3) to base 12\nAnswer: 6364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 165\/5737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 22232?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*b - 2*b. Let p = 20 - 12. Let j = p - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1916, -1914, -1912, -1910, -1908?\nAnswer: -1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - 2 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 293 - 37 = 0. What is the remainder when 243 is divided by u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 230 + s**2 + 110.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/2665411 and 37\/49?\nAnswer: 18657877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(4*k - 4*k + 11*k) - 3*k + 0*k + k)*(-2*k + 3*k - 3*k + (-2*k + 3*k - 2*k)*(-2 - 4 + 5) + 0*k + 0*k - 2*k + 4*k - k - 18*k).\nAnswer: 234*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105 + (8\/6)\/(16\/36). Let s = -41 - -100. Let m = y - s. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(3\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67690000 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-2\/5)\/((i\/i**3)\/(i*i**5*i)) assuming i is positive.\nAnswer: i**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 33 = 6*q. Let r = q - -12. Suppose z - r = -0*z - 5*k, 38 = 2*z - 2*k. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/7, -1, -1\/2, -22\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*j + 4*j + 3*p, 2*j - 21 = -p. Suppose 4*o = 4 + j. Suppose 0 = o*q + 4*i + 1, i = -7*q + 3*q - 10. Let d(c) = -4*c - 4. Determine d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 7*t - 9. Let d be q(-6). Let h = d + 21. Suppose 9*z - 129 = h*z. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**5 - 20*v**4 + 20*v**3 + 20*v**2 - 24*v = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -564134, -7, -13, -2 in decreasing order.\nAnswer: -2, -7, -13, -564134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 153*o + 4. Let h(r) = -152*r - 3. Let i(w) = -3*c(w) - 4*h(w). Let p be i(1). Let d = p - 62. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9)*(3 - 12). Let f(a) = -5*a + 2. Let g(o) = 14*o - 6. Determine n*g(v) + 8*f(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9650, 9648, 9646?\n\"Answer: -2*b + 9652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96199 is divided by 87.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a hour in minutes?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 3*j + 468449 - j.\nAnswer: -3*j + 468449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 55.1. Let h be (-2)\/(-4) - 1 - 1. Let p = 0.1 + -0.3. Which is the closest to n? (a) 1 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -18. Solve y = 4*b - 2*y - 8, -z*y = -b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 - 3.97. Let q = 4.19 + p. Let a = q + -4.2. Round a to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2 + (-324)\/110. Let a = 3\/55 - o. Find k such that -9\/4*k**4 - 3\/2*k + 0 - a*k**3 + 21\/4*k**2 = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 + 8*z + 3. Let p be 3*((-144)\/(-8))\/6. Calculate h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/a*a\/(a**7*a)*a**(5\/3)*a**(2\/21))**23 assuming a is positive.\nAnswer: a**(-9361\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -10*d + 19*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22879.383 months in centuries?\nAnswer: 19.0661525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = p - 3*v + 5, 5*v = -15. What is the second derivative of p*y**2 + 31*y**2 - 28*y - 61*y**2 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 103*d**2 + 6. Let p(s) = s - 3. Calculate 2*p(i) + z(i).\nAnswer: 103*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 90 - 85. Let b = -45 - n. Let c = 23 + -25. Are c and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -1017, -1460, -1867, -2226, -2525, -2752?\nAnswer: -2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*b**3 - 2 + (-2*b**2 - 5*b**2 + 5*b**2)*(2*b - b - 3*b) - 6*b**3 + 0*b**3 - 3*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549 divided by 135623?\nAnswer: 3549\/135623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 9*q + 6. Let f(o) be the second derivative of -o**4\/6 - 4*o**3\/3 + 5*o**2\/2 - 378*o. Calculate 6*f(a) - 5*i(a).\nAnswer: 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60618, -121229, -181840?\nAnswer: -242451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-4)\/(-2) + 1. Let q be ((-1)\/4)\/(360\/192). What is the third biggest value in q, 4, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*r**4 + 13*r**3 + 6586395*r**2.\nAnswer: 7896*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 + 379 = 2*a, -236843993 = 6*j - a. What is j rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.06 (b) 0.1 (c) 0.493494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125627110 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**(-3)\/b))*b)\/(b\/b**(1\/2)))\/(b*b*b*b\/(b\/b**(-2)))**36 assuming b is positive.\nAnswer: b**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = 2*a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 24225.\nAnswer: 145350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(960)*-2*3)\/(-1*3*sqrt(108)) + 0)**2 + 5.\nAnswer: 392\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3849*c**4 - 3*c**3 + 45*c**2 + 1728?\nAnswer: -92376*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-8)*i*i**0*i)**(-38) assuming i is positive.\nAnswer: i**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 18963064*a\/7 - 44949724533512\/7.\nAnswer: -2*(a - 4740766)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y = -51*y - 16. Calculate the smallest common multiple of y and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 946858469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -98096547000 rounded to the nearest one million?\nAnswer: -98097000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -8088, -27273, -64636, -126237?\nAnswer: -218136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39315443 to the power of 1\/2, to the nearest integer?\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 36 = -161. Let u = y + -21. Which is the nearest to 0.3? (a) -1\/12 (b) u (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 225398043, 450796087, 676194131, 901592175, 1126990219?\n\"Answer: 225398044*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 0. Let u be (s - 2)\/(-2) + 1. Suppose -6*f + 15 = 9*f. Solve v - u = f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*u**5 + 0*u + 2*u**2 - 2\/3*u**3 + 0 - 2*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 42. Suppose 0 = -o*c + 9*c. Let g(d) = -d + 14. Let a be g(0). Solve 5*v - a = -3*p + 20, -5*v + 4*p + 13 = c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)\/c**5*(c\/(c**(-1\/2)\/c))**(-50) assuming c is positive.\nAnswer: c**(-651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 120*i - 96 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:45 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713120 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2. Let o(l) = l**2. Calculate x(o(y)).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2347\/5 - -469. Put t, 0.0758, -1 in descending order.\nAnswer: 0.0758, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12868, -25668, -38510, -51394?\n\"Answer: -21*d**2 - 12737*d - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 259463.5 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/8 (b) 4 (c) 33 (d) -0.1 (e) -3 (f) -0.13 (g) 2\/369\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 - 8*m - 1. Let j(z) = 2*z**2 + 3*z. Suppose -2 = 2*x + 4. Let y(w) = x*c(w) - 8*j(w). What is the first derivative of y(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 0\/(3 + -7). Let v be (2 - a)\/(3\/(-4)). Suppose -v*x + 4 = -2*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**2 + 109759*s + 986700. Calculate n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6652 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2*l + 20 = -5*z, 3*l - 5*z + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 211, 233, 257, 283, 311, 341, 373?\n\"Answer: w**2 + 19*w + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*h - 17 = f, -2*f - 2*h = 18. Let g = f + 19. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89035010 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.612 minutes in seconds?\nAnswer: 31896.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17994c (base 13) to base 4\nAnswer: -2100223002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 33121*k**2 + 33108*k - 13. Determine b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 - -10*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 35*k = -11*k + 1406 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4099 is divided by 315.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -40252?\nAnswer: -40252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 1580 = 49*f. Suppose 2467 = 4*u + o, 0*o - 3*o = 2*u - 1231. Calculate the remainder when u is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 11. Determine d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-289) + (-351)\/18*26\/408?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1346\/7 - -192. Suppose 0*p = 2*p - 10. Suppose -83*o = -80*o - 4*i - 4, 0 = -i - 1. Sort o, p, -3, u in decreasing order.\nAnswer: p, o, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250230 by 10.\nAnswer: 25023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369856 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f**(2\/5)*f**(-6)*(f\/f**5*f)\/f)**(-41) assuming f is positive.\nAnswer: f**(4469\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3004.82 to the nearest ten.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 + 27. Let w(v) = 3037*v**2. Give x(w(c)).\nAnswer: -36893476*c**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -18614\/5 and -3722 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -104. Suppose k*w = 10*w + 24190. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66486?\nAnswer: 2, 3, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14692?\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = r + 2*l, 9 = 3*r + 2*l. Let k(f) = -r + 4*f**2 + 3*f**2 - 2*f + 4*f. Calculate the lowest common multiple of 20 and k(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 7. Let h be y(8). Let o = h - -63. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3*r - 216, 1631*u - 4*r + 269 = 1630*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 5*c, -6*c + 3*c = -y + 5. Let q(v) = v**3 + v. Let m be q(c). Suppose h = -2*l - 2*h + 28, m = 3*h - 6. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971684 or 971671?\nAnswer: 971671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n. Let p(w) be the second derivative of w**4\/3 + 28*w + 1. Give r(p(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -6. Suppose n = 5*s - s. Suppose y = 5*w + 32, 2*w = -s*y + w + 9. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - (2 + 3) - (4 + -7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((132\/484)\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3 - (-1 - 3 - -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.95 + 54. Let h = q - 1.7. Let r = h - -0.65. What is the nearest to -0.2 in r, -5\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - x**3 - 6*x**3)*(0*x + 11*x**2 - 8*x**2 + 3*x).\nAnswer: -9*x**5 - 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d + 45 - 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 31 + 15. Solve -m + 8 = -2*m + z*i, 4*m - 2*i + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 215, 327, 443?\n\"Answer: 2*w**2 + 102*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323222120322 (base 4) to base 7.\nAnswer: 246640011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.44092 - 0.44. Round j to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 - 63*i + 13. Let f be l(15). Let p = -407 + f. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - a + 135 = 2*k, 4*k = -5*a - 137. Let l be 7\/(k\/512)*-1. Suppose -2*i + l = 2*i. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 41 - 30*s**3 + 112*s**3 - 24*s**2 - 41*s**3 - 40*s**3. Suppose -3*z - 63 = -2*b - 0*b, -5*z = 2*b - 23. What is the tens digit of k(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 5, -4, 19.\nAnswer: -4, 0, 5, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**3 - 2*f**2 + 2*f + 1. Let q be u(1). Let i be (q\/21)\/(-1*3\/18). Solve -2*s = -4*s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**2 - 1. Let m = 98 + -85. Suppose 24*i - 11*i = m. What is a(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, -3, -32\/21, -5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (38 - 33)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 - s**4\/2 - s**3 + 7*s**2\/2 - 560*s. Determine f(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 + 2*m + 4. What is the tens digit of k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 59. Let l(n) = n**3 - 2*n**2 + 2. Let b be l(2). What is the remainder when k is divided by (13 - b) + 9\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2049695205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**3\/3 + 7464. Let p(u) be the second derivative of -19*u**3\/3 + u. What is h(p(x))?\nAnswer: 1444*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*s - 10*s**2 + 24*s)*(7*s - 12*s + 65*s) + (-2*s + s + 2*s)*(-4*s**2 + 10*s - 10*s) to d + l*s**3 + h*s + m*s**2 and give l.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unuu when four letters picked without replacement from unrhurrruqurru?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/2 + 4601*s**2\/2 = 0. Calculate s.\nAnswer: 0, 4601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5 (b) -2 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*a**3 + a - 45*a**3 + 139*a**3 - 53*a**3 - 146*a**2 as n*a + h + z*a**3 + o*a**2 and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2299)*-2 - sqrt(2299)))**2 + 4.\nAnswer: 331060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.717 take away -47.66564?\nAnswer: 41.94864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1+-70245.6\nAnswer: -70244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 99\/2. Put 1\/4, 0.3, a, -0.01 in descending order.\nAnswer: a, 0.3, 1\/4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.993943 microseconds to seconds.\nAnswer: 0.000003993943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -53050\nAnswer: 530.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(52\/19201)*(-3 + 2). What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = 24, 4*r - 126 = -3*f. Suppose 0 = -3*g + 4*g - 48. Calculate the least common multiple of r and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -90*p**2 - 1207*p + 7247. Give j(6).\nAnswer: -3235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 + 8640*m**3 + 453905*m**2 - 462540*m = 0.\nAnswer: -52, 0, 1, 1779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -4*m + 186. Suppose -m*d + 16*d = -20156. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -2 (b) 3 (c) 1.084 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9351 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/4 + u. Let q be (-2)\/11 - 72\/(-33). Let t(j) = -q*j + 0*j - j + 2*j. What is a(t(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z - 4*b = -113*z - 56, 3*z = 2*b - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 17. Let w = q - -1. Which is the nearest to 1\/4? (a) w (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5. Let l = -26.73 - -26.81. Sort d, l, 2 in ascending order.\nAnswer: d, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 + 0 - 10) + 2 + 124 + -160?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*t - 76 = 0, -10 = -2*g - 2*t + 24. Solve -5*h = 4*r + g, 2*r = -2*h + 3*r - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0611 (b) -0.5 (c) 0 (d) -0.13 (e) -6 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - a - 4*a - 19 + 6 - 34 - 33*a.\nAnswer: -61*a - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - s**2 + s**2 - s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 309, 306, 291, 258, 201, 114?\n\"Answer: -g**3 + 4*g + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119730111 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 17395*p + 5378240.\nAnswer: 5*(p - 3136)*(p - 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzr when four letters picked without replacement from {z: 3, w: 4, c: 1, u: 1, r: 7}.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 (base 6) in base 10?\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220 + -303320?\nAnswer: -301100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:07 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 197 = -3*u, 3*u + 91 - 286 = 3*b. What is the highest common factor of u and 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -7) + -8)*(-31)\/2. Suppose q = 10*a - 49. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 2 (c) -5 (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4873*a**3 - 11119*a**3 - 850*a**3.\nAnswer: -16842*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45292 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -63*h - 49. Let q(n) = -15*n - 12. Let k(d) = 4*b(d) - 18*q(d). What is the remainder when 150 is divided by k(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1038, -1761, -2484?\nAnswer: -3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -145*-6399\nAnswer: 927855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/2 + 3*n**2 + 5*n. Let g be u(5). Let t = -5 - g. Calculate the least common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h\/(h**(-4\/7)\/h))\/(h*h*h**(-3)*h*h*h\/h**(-6))*h**(4\/3)*h**(-8)\/h*((h\/(h*h*h**7))\/h*h)\/h**(-2) assuming h is positive.\nAnswer: h**(-485\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13 = 5*a, -5*c - 3*a = -a - 41. Suppose 26 = 3*v - c. What is the greatest common divisor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 + 0*h**2 + 0*h + 7*h**2 - 5*h**3 - 4*h - 2. Let i be g(5). Let l be 3\/(-9) + i\/12. Let n(p) = -6*p - 2. Determine n(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2946 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22572 = 2*w + 52*w. What are the prime factors of w?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21096?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/((-4)\/30))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165733247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.07949*0.1.\nAnswer: 0.507949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60 and 25\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451430 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - 4*v**5 + 3*v**5 + (-6*v**3 + v**3 + 3*v**3)*(3*v**2 - 4*v**2 - 2*v**2) - 3*v**5 + 0 + 0.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 less than -20?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 389 = -2*x + 3*x, 757 = 2*x + v. What is the second derivative of 13*t**5 - 380*t**4 + 137*t + x*t**4 wrt t?\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210539632?\nAnswer: 2, 61, 1240307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose 0 = k*n + y + 2*y - 137, 3*y - 67 = -2*n. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 549 - 3*g**2 + 539 + 9*g**3 - g**3. Suppose 3*x - 11 = 2*b, 0 = -5*x + b - 3*b + 13. Is p(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -28*o + 16. Let p(s) = -9*s + 5. Let u(q) = -16*p(q) + 5*r(q). Suppose -h = -2*h. Let f(d) = -d + 3*d + h*d. Give u(f(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1710980*f - 926309 wrt f.\nAnswer: -1710980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 13 = -21. Find the third derivative of 1 + 74*z**5 - 7*z**5 + 29*z**5 - 186*z**t - 1 wrt z.\nAnswer: 5760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g + 8*g**3 - 2 - 13*g.\nAnswer: 8*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 12. Let j be f(-5). Let l = j + -12. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c57 + -d?\nAnswer: 26c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 20 = -10*m. Suppose -p + 0*i + 50 = 3*i, m*p + 2*i - 276 = 0. Does 4 divide p\/(-21)*(-12 - (0 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712451*m**6 + 26*m**2 - 70*m + 11.\nAnswer: -85494120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 291 divided by 5\nAnswer: 291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 91, 73, 53, 31, 7, -19, -47?\n\"Answer: -r**2 - 15*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-7)\/(168\/18). Let 0*g + 21\/4*g**4 - 15\/4*g**3 - q*g**2 + 0 = 0. Calculate g.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210202 + 2002?\nAnswer: 10212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 - 19 = 0. Suppose -y - w = -2, w = -3*y - y + d. What is the third derivative of -6*k**4 + 4*k**2 - y*k**2 + 5*k**4 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-640)\/832)\/((-2)\/(-221))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 99 (b) -1 (c) 17 (d) -4 (e) -460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.590002394 + -40.59. What is f rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 31*u + 33*u + 19, -5*o = -5*u + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 1, z: 2, g: 1, p: 2, b: 2}. What is prob of picking 2 p, 1 t, and 1 z?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 21*i**2 + 3*i + 20. Let z be w(9). Suppose -z = -5*u + 105. Is 79 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187817 and 187817.\nAnswer: 187817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/438802 and -3\/728?\nAnswer: 1755208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58760\/3 - 19586. Which is the nearest to -2\/49? (a) q (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5422027 is divided by 57?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**4 - 12*o**3 - 29*o**2 - 4*o + 602254.\nAnswer: 16*o**3 - 36*o**2 - 58*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18496 + -18496.00009339. What is a rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -57. Suppose 5*z = 5*o - 6*o + 28, -5*o = 3*z - 30. Calculate the greatest common factor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 325160?\nAnswer: 325160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135677 by 17.\nAnswer: 7981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177363229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncckccunnuu. What is prob of sequence cuuc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1045445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -297906 (base 12) in base 15?\nAnswer: -dbac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.66, -0.2, 4, -0.5, -4 in decreasing order.\nAnswer: 4, 0.66, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.03, 0.4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 2*z - 1. Let l be i(2). Let k be 1 + l + -6301 + 1. Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -1, -11\/67, 1\/5, -0.3, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.99 from 203130.\nAnswer: 203136.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48.94, -1, -3, 2 in decreasing order.\nAnswer: 2, -1, -3, -48.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7644 divided by -135?\nAnswer: 2548\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251237 - 143243. Let k be 1\/3 + a\/18. Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1936806796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/3)\/(15\/9 - 1). Suppose g = 5*w - 3*h, 5*w + 5*h = 4 - 14. Suppose -4*v + 248 = -2*m + 4*m, 2*v + w*m = 126. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5660 (base 12) to base 16\nAnswer: -2568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(560))\/(sqrt(500) - (sqrt(500) + (sqrt(500)*-1 - sqrt(500)) + sqrt(500)) - sqrt(5)).\nAnswer: -20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52076 + 934776. What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006878916951 to 7 decimal places.\nAnswer: -0.0068789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 138\/3105 + 130039\/(-55440) - 1\/16\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54353 + -142?\nAnswer: -54535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/100)\/(((-6)\/(-5))\/((-8)\/14))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124804)\/(-166659) - (4 + 85\/(-30) - 2\/4).\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Let h = 39.45 - 37.8. Let k = -3.65 + h. Which is the smallest value? (a) k (b) 1\/4 (c) y (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((115\/21)\/(-23)). Let q(x) = -x**3 - x**2 + x - 14. Let i be q(0). Let p be (-6 + 0)\/(j\/i). Solve 2*d = -d + 9, -p*f + 2*d = 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848066.7 kilometers in centimeters?\nAnswer: 84806670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188.97 - 188.969965648. What is l rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90309, 181986, 273663, 365340, 457017?\nAnswer: 548694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:15 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r**4 - r**2*u**2 - 5*r**2*u*x - 7*r*u**2 - 30*x - 2 wrt r?\nAnswer: 72*r**2 - 2*u**2 - 10*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 24*k**2 + 55*k**3 + 6 - 27*k**3 - 26*k**3 - 22*k**2 as o*k**3 + g + d*k + x*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -80*m**2 + 5*m + 411. Let z(u) = u + 1. Let x(g) = i(g) - 4*z(g). What is the first derivative of x(o) wrt o?\nAnswer: -160*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(6655))\/(((sqrt(88) - 1*(sqrt(88) + -1*sqrt(88) + sqrt(88) - sqrt(88))) + sqrt(88))\/sqrt(8)).\nAnswer: 33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-20)*v**11*v**(-2\/3)\/(v*v\/(v*(v**14\/v*v)\/v)) assuming v is positive.\nAnswer: v**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372185439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14033, 15533, 17023, 18497, 19949, 21373, 22763?\nAnswer: 24113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a - 67. Let b be u(-6). Suppose -b*g + 17826 + 482 = 0. What are the prime factors of g?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggigiikgk. What is prob of picking 3 g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28510 - 1.\nAnswer: 28509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 12 (c) 203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 3*r)*(-3 - 1 + 3) + (-4*r + 0*r + 3*r)*(-4 + 25 + 10).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364231 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 1. Let o be m(-1). Let y be (2 - -4)\/(o + -1). Solve 5*a = 2*a - y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 792*r + 59. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23320 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7092 - -7093. Let r be 8\/3*2\/8. What is the nearest to f in -5, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u**3 - 1\/2*u**4 - 1\/5*u**5 + u + 4 + u**2. Factor d(v).\nAnswer: -(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/1584*-368*(-3)\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-665)\/160)\/((-6)\/(-8)) and (24\/256)\/((162\/924)\/(-9))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -129, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52304403 by 17434801.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 781*w + 6989. Give o(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d)**(2\/31) assuming d is positive.\nAnswer: d**(16\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3975 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.782389g?\nAnswer: 0.008782389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3696 and 40908.\nAnswer: 1799952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 8 = -28*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 18 = 13*k. Find the second derivative of -21 + 2*p + 0*p + 42*p**2 + 17*p**k wrt p.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2741*m + 325*m**4 + 331*m**4 - m**2 - 1315*m**4 - 2*m**3 + 329*m**4 + 331*m**4 as w*m**3 + h*m**4 + k*m**2 + d*m + t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**11\/110880 - h**10\/12600 - h**9\/5040 + h**5\/60 - 2*h**2. Let c(v) be the third derivative of u(v). What is x in c(x) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -8 - -10) + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 229881 to the nearest one thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 85 = -155. Differentiate 61 - 1 - j**3 + 37 - k*j + 37 with respect to j.\nAnswer: -3*j**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/24 - b**3\/3 - 4*b**2. Let d be r(4). Solve -2\/5 + 3\/5*x - 1\/5*x**d = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-482)\/1740 + ((-242785)\/(-2950) - 82).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 26. Let f be w(-13). Sort f, 4, 2 in descending order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -1\/12*v**4 + 0*v**5 + 0 + 0*v**3 + 1\/30*v**6 + 0*v**2 - 42*v. Factor w(d).\nAnswer: d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Suppose b = -4*d + 2*v - 2, -3*d - v - 2 = -3*v. Let f be -3 + 2 - (-3 + d). Solve -4*t = -2 - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(5 + sqrt(17)*2 - (sqrt(34)\/sqrt(2) + -4))**2 - ((1*sqrt(1700))**2 - (5*1*sqrt(17))**2)*4) + 1.\nAnswer: -5290 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 66639*s + 66639*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2298059, 2298058, 2298057, 2298056, 2298055?\nAnswer: 2298054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 3, 98 in ascending order.\nAnswer: -1\/7, 3, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 85?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - sqrt(156)*-3)*-1)\/sqrt(12) + 2 + sqrt(832).\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48672225 divided by 154515.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 7*h = -9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18 + 189 + (-4)\/((-16)\/20). What is the highest common divisor of 24 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564.7 rounded to the nearest 10?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (-70 - -38) + 38?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.15 + 0.15. Let i = 3 - v. Let n be 7\/70*3*-2. Which is the second biggest value? (a) 0.4 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 6 (c) -7\/15 (d) 1\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 472 = -4*v - 5*o, 4*v - 1963 = -5*o. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104790 divided by 4?\nAnswer: -52395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 4:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 395\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, d: 3}. Give prob of sequence qqqd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 + -13.85. Let a = 7 + o. Let n = 6 + a. Is 0.1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087535 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -58. Let i be (1\/(-2) - -2) + 23\/(-10). What is the third smallest value in r, 0.06, -3, i?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-15))\/(1\/(-5)). Factor -r + r + r**2 + u*r + r**2.\nAnswer: 2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.00000124. Round y to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 0*g**2 - g + 8*g**3 - 10*g**3 in the form f + b*g**2 + l*g + i*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8166 = 25*c + 4591. Calculate the highest common factor of 77 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2 - o**3 + 28*o**2 + 39 - 35*o + 0*o**2. Calculate the remainder when 38 is divided by c(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 64*l - 2457. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b607 (base 16) to base 12\nAnswer: 449947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*475*38\/2850.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -6, -6\/7, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -0.5 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccvcvc. What is prob of sequence ccvc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h + 2. Let o be n(3). Let g = 42 + o. Let a be 36\/14 + -16 + g. Put -1, a, 2\/13 in decreasing order.\nAnswer: a, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16*o + 4. Let j(c) = -31*c + 7. Let n(d) = -d**2 + 9*d + 6. Let g be n(10). Let k(v) = g*j(v) + 7*x(v). Does 12 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8151ca7 - -3?\nAnswer: -8151ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 103*r - 1. Let d(i) = 234*i**2 - 2*i - 2. Calculate d(f(w)).\nAnswer: 2482506*w**2 - 48410*w + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100701393 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeibixebip. What is prob of sequence ipi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-4 - (-68)\/16). Let o be (64\/(-12))\/(l\/9). Let m be (-8)\/o - (-302)\/(-12). Does 1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 74*c + 229. Let v(w) = -12*w - 35. Let p(r) = 4*b(r) + 26*v(r). Let o(a) = 5*a - 2. What is 10*o(q) + 3*p(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = -5*b - 18, -z + 7 = 5*b. Suppose -12*j - j = -130. Let t(u) = -z*u + j*u - u. Let k(y) = -y**2. What is k(t(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 4 - 2 + 10067*b**3 - 1587*b**3 + 7.\nAnswer: 8480*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)\/sqrt(3)*6)\/sqrt(2))**2 - (-2*sqrt(85)*2)\/sqrt(5)) + 0.\nAnswer: 4*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1985382 at least -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5 + 8*c**4 - 10*c**3 - 60*c**2 + 171*c - 108 = 0.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 467 + -284. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u + 161. Let n be p(10). Solve n - 46 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74981959 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 14 - (0 - 3\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuquuqdduuudfduyuuu. What is prob of picking 1 q and 1 y?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t - 15 = 5*w, 0 = -w - 2*t - 7. List the prime factors of w*6*2\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3446427 centimeters?\nAnswer: 3446427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-9)\/(-6)) - 2776. Let f = 27811\/10 + d. Find the common denominator of -11\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567382007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9*39982\nAnswer: -359838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -396\/7 (b) -1\/2 (c) 5\/4 (d) 1 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (9 - (-6 - -11 - 19))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 9*k + 12 = -11*k, 2*q - k = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 + 106*x**2\/5 - 58*x\/5 - 154\/5 = 0.\nAnswer: -11, -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026544993.\nAnswer: 11, 17, 10837139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17839*c**2 - 14498*c.\nAnswer: -35678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 - 27 = 0. Let h be 4 + -2 + g + 1. Solve -h = -5*k + 2*v, 0*v = 3*k + v - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 20*f**2 + 10*f + 6. Let t be u(20). Suppose z - 80 = t. What is the highest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-720))\/(2\/(-10))*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 1. Let k be ((-3)\/(-1))\/((-24)\/(-32)). Suppose 6*m + 10 = 2*p + m, 4*p - k*m + 4 = 0. Determine q(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmmgmgmugguumgmum. What is prob of sequence gg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 680765.63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 70. Let k be (72\/x)\/(5\/(-25)). Calculate the common denominator of 61\/4 and -2*1\/k*-23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/8 and 34\/227113?\nAnswer: 1816904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 72 = -5*k, 3 = -18*o + 13*o - 2*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7824 divided by -34909\nAnswer: -7824\/34909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 570680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27442 (base 8) to base 4\nAnswer: -2330202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 15*f**2 + 5*f - 7. What is d(15)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322107947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let v = -69\/5 - -291\/20. Which is the third biggest value? (a) -5 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 != 808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3310151 - -1?\nAnswer: 3310152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 - 90. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74848 + -74838. Let k(j) = j + 1. Suppose 2*h - 1 - 3 = 0. Let x(u) = u + h + 2*u - u. Give i*k(t) - 4*x(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 32*k - 2240.\nAnswer: 4*(k - 28)*(k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/4*1. Suppose 21*k - 8*k - 182 = m. Calculate the remainder when 26 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 13 + -8 - -35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*r + 6, -r = -3*j + 6*j - 7. Let -z**2 + 3*z**4 - 3*z**2 + z**2 + 0*z**j = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 13*h + 37. Let k be c(15). Suppose -2*x = -k*x + 355. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*u + 6*t + 689, -679 = -3*u + 4*t. Let k = u - 228. Is 6 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174.958 - -1.258. Let j = i - -174. Sort -2\/3, 4, -0.6, j in increasing order.\nAnswer: -2\/3, -0.6, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuiiwrj. What is prob of sequence ruj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(490) + sqrt(490))\/(sqrt(2) + sqrt(2) + sqrt(400)\/sqrt(8)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 12:42 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 16. Let m be (v\/(-14) + 2)*14. Let o = -427490 + 427498. What is the greatest common divisor of m and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:42 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 1, a: 1, d: 1, h: 3}. Give prob of picking 2 a and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3245*s**2 - 7 + 3824*s**2 + 5 - 846*s wrt s?\nAnswer: 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210693 is divided by 1086.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = -5*w. Let j = 313\/1540 + -3\/140. Which is the smallest value? (a) w (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 175 = -111 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14612 or 14613?\nAnswer: 14612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 292579.72 and -734?\nAnswer: 293313.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 819604080 divided by -4\nAnswer: -204901020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (-105)\/(-10). Let m = y - 14. What is the closest to -1 in 0.2, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171392730 to the nearest integer?\nAnswer: 13092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*v - 35888 - 69620, 105524 = 3*t - 4*v. Is t a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - -6165?\nAnswer: 6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 1043592?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1742220, 1742222, 1742226, 1742232, 1742240, 1742250, 1742262?\n\"Answer: a**2 - a + 1742220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113902 or 113901?\nAnswer: 113901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3 - 7*a + 5 - 3 + 22*a**2 - 19*a**2 to l*a + c*a**2 + m and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -22) + ((16 - 32) + 16 - 8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 7584?\nAnswer: -7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19482 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 9*p - 12. Let t be w(-11). Let o be 51\/t*8\/15. Put -0.3, 7, o in descending order.\nAnswer: 7, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.73349 to zero decimal places.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = 15. Let d be 26\/x*(5 - (-6)\/(-12)). What is the derivative of -100*r + 45*r - 38 + d*r wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 2*m + 3. Let g(z) = -3*z**2 + 5*z + 10. Let p(a) = -2*g(a) + 7*x(a). Let s be p(4). Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/10 and 13\/(-39)*(-2 + -13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhxhxhhhxx. What is prob of picking 2 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = -15. Let b be (-1 - -2) + g + 0. Suppose 2*d = b*d. Round d to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7079 is divided by 260.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1650 and 73\/40.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 2*w**5 + 3*w**5 + (0 + 0 + w)*(5*w**4 - 5*w**4 - 2*w**4) - w**5 - 3*w**3 + 3*w**3.\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/9 - 17\/36. Let t(l) = -6*l + 4 + l**2 + 3*l**2 - 3*l**2. Let y be t(4). What is the closest to v in 0.1, y, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -81. Calculate the smallest common multiple of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3510 + -20243?\nAnswer: -13433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2978, -11880, -26624, -47132, -73326, -105128, -142460, -185244?\n\"Answer: 13*x**3 - 2999*x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 - 241. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**3 - b**2 + b. Let r be f(1). What is the greatest common divisor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/13))\/(p*(p\/p**(4\/7))\/p))\/(p*p*p**0)**40)\/(p*p\/(p*p*p*p\/p**3*p)*p*p*p*p**3*(p*p**(-1\/5)\/p*p)\/p*p**2\/p) assuming p is positive.\nAnswer: p**(-39304\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8037 and -420592.\nAnswer: -412555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (7 + -19 + 26) - 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/6 - w**2 - 1. What is the second derivative of a(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuuueeueypeeuuucu. Give prob of picking 1 n and 1 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.2075 + 294.64.\nAnswer: 310.8475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126.7 - 127. Is -10\/9 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(u + 2*u**4 - u) + 8*u + 6*u**4 - 8*u - 5*u**4 + u**4 + 2*u**4 + (-u**3 + 2 - 2)*(u + 4*u - 4*u).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/10 - d**3\/10 + 6*d**2\/5 = 0. Calculate d.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194951042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7138819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -67*o**3 + o**2 - 4*o - 7. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87993 + 87993 + 10403*x in the form p + r*x and give r.\nAnswer: 10403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 27 - 89. Calculate the lowest common multiple of (-11)\/33 - r\/3 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, x: 4, i: 1}. What is prob of sequence ig?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:21 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)*5\/10. Suppose 4*u - 6 - 2 = 0. Let n(v) = 1 - u*v**2 - 2*v**3 + v + 7*v**3 - v. Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = 0, 4906 + 19700 = 2*y + 3*b. Calculate the greatest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 0 - 2\/3*q**2 + 0*q + 1\/3*q**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -33*b + 32*b + 7, 13 = b + s. Solve -2*f = 3*x - b + 11, 0 = -5*f - 25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - -155. List the prime factors of k.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-7))\/(((-30000)\/672)\/125).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exa when three letters picked without replacement from xxaaexxaxxea.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -109, -74, -3, 116, 295, 546?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115779 or 115773?\nAnswer: 115779","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -361759 = 5056*v + 2641*v for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.4 + -29. Let j = 66.6 - c. Let z = j - 62. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 1 + 5)*(-36*y - 56*y + 33*y) as r + g*y and give g.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -4\/3 (c) 4\/3 (d) -2\/935\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13120 (base 4) in base 15?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-105)*(56\/(-35))\/4\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -65 + 1\/2*2. Let h = 7605 - 7531. Let q = h + k. Solve p = 3*p - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1 - (-8 - -8). Solve -3*a - o + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l. Suppose -4*f - 25 = -5*s, -4*f - 38 = 4*s + 14. Let q = f + 17. Let w(d) = q*d**2 - 4*d**2 + 0*d**2. Calculate v(w(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 12\/(1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = r - 12, 36131*r - 36133*r - s = 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10338858, 20677697, 31016536, 41355375, 51694214, 62033053?\n\"Answer: 10338839*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78395130146743 - 2.\nAnswer: -78395130146745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132864290 and 6132198.\nAnswer: 398592870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792149*o - 368693*o - 423470*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtddddgddt. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11563 + -11559. Solve -8*y - 24 = -g*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:34 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 14 = -36*l. Suppose 13 = 2*j + 3*z, -2*j - z + l = -0. What is the third derivative of -3*d**6 - 108*d**j + 112*d**2 + 2*d**6 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543590697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = 7. Let k(x) = 3*x**3 + 2*x**2 - 4*x - 2. Let t(n) = 10*n**3 + 7*n**2 - 13*n - 7. Calculate c*k(s) - 2*t(s).\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*y**5 - c*y**3 - 589*c*y + 821*y**5 - 1 wrt y.\nAnswer: 20*c*y**3 - 6*c*y + 16420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*a\/((a**(-12)\/a)\/a))**(1\/12) assuming a is positive.\nAnswer: a**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*u + 1 + 4, 5 = -2*z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491766768.\nAnswer: 2, 3, 733, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166430 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0.2, 2\/9 in ascending order.\nAnswer: -5, 0.2, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-12)\/(-16)*176\/24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61097375 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25222 (base 6) to base 2\nAnswer: -111010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-3)\/11*(-3)\/18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 1058, 144, -1688, -4744, -9330, -15752, -24316?\nAnswer: -35328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 32 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 15, 16, 15?\n\"Answer: -i**2 + 6*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/53, -1, 3\/37, 3 in increasing order.\nAnswer: -1, 3\/37, 12\/53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121 (base 3) in base 7?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.3329353 + -3990660.5170647. Let o = 3990622.8500039 + c. Let q = 43 + o. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1357, 2040, 2749, 3496, 4293, 5152, 6085?\n\"Answer: 2*m**3 + m**2 + 666*m + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/31)*v*v*v**29)**(-2\/109))**29 assuming v is positive.\nAnswer: v**(-55796\/3379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-1)*9\/((-10710)\/(-68))*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 20 = -9*o. Suppose 5*q = o*u - 0*q - 69, -u = -2*q - 15. What is the remainder when 79 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 306\/17)\/((-18)\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.5 and 32?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 179.311mm?\nAnswer: 0.000179311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23040 and 1291?\nAnswer: 29744640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -0.02\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1398 and 1959 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582 - 2343 + 4*g**2 + 590 + 589 + 582.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37404.07 - -37236. Round a to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010010?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 7:04 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(-2) - 4 - (-2)\/4. Let r = 0.2 + 0.8. Sort t, 0.3, r in ascending order.\nAnswer: 0.3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -2013568?\nAnswer: -59\/2013568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12542 divided by 69.\nAnswer: 12542\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3398451, -3398450, -3398449?\n\"Answer: h - 3398452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.59 + 23.41. Let u = m + -23. Let b = 10 + -6. What is the nearest to 1\/4 in 0.5, b, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0168 - -0.06\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 17. Let f = -2936683 + 2936676.0000045. Let g = f - m. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1631, -2680, -3731, -4784, -5839?\n\"Answer: -s**2 - 1046*s - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73519 is divided by 9132.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*c - l + 25, 16 = c - 3*l. Suppose -3*k = -2*r - c, 3*k - 2*r = -5*r - 15. Suppose -a + 47 - 3 = k. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 600, 560, 518, 474, 428?\n\"Answer: -k**2 - 37*k + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-243)\/(-18) + -14). Let k(h) be the second derivative of 7*h - n*h**4 + 1\/20*h**5 + 0*h**2 - 1\/6*h**3 + 0. Calculate k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*n - 245*n = -9135 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -10. Suppose -h*m - u = -5, 5*u + 2 = -m - 18. Let z = -4 + -1. Sort z, 4, m in decreasing order.\nAnswer: m, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42477, 42481, 42485, 42489, 42493, 42497?\nAnswer: 42501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(21\/(-12) - -2). Let u = c - -1. Solve u = 5*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103301625?\nAnswer: 3, 5, 7, 23, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*m + 14 = 0, -5*f = 10*m - 9*m - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*z - 1022, 7*v = 9*v + z - 401. Suppose 0 = 3*u + 187 - v. Which is the nearest to 3? (a) u (b) 9 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -f + 207, 3*f - 341 = -263*x + 258*x. What is the remainder when 470 is divided by x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**3 - 3*x**2 - 8*x - 3. Let p be (-3 - -1)\/(-12) - 66\/(-36). Let t(v) = -2 - 5*v + 9*v**3 + v**2 - p*v**2 - v**2. Give -8*t(n) + 5*w(n).\nAnswer: -2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 4 + 4)*(8 + 3 + 51).\nAnswer: -62*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (60\/(-100) + 401\/(-115)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903256406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/9)\/((-1)\/3). Let t be ((-2)\/42)\/(x\/(-15)). Put -4, -0.3, t in increasing order.\nAnswer: -4, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 16 (d) 1\/2 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*f**2 + 1890*f - 941*f - 947*f in the form s*f**2 + i + c*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.48. Let m = 5 + -7. What is the smallest value in -3, s, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 218179\nAnswer: 3\/218179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16 + 19195*o**3 + 16*o**2 - 19141*o**3 - 13*o - 3*o. Let z(u) = -11*u**3 - 3*u**2 + 3*u - 3. Calculate -3*i(c) - 16*z(c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1775961, -1775960, -1775959, -1775958, -1775957?\nAnswer: -1775956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/5))\/((s\/s**(3\/2))\/s))\/((s*s**(-1\/2))\/s**8)*((s**5\/s*s)\/(s**5\/s))**(-1) assuming s is positive.\nAnswer: s**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6590000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 146448 * 1\nAnswer: 146448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 8*q + 4. Let d(s) = 2 - 2 + s + 3. Let m be d(4). Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g + 2*g + g)*(-2*g**2 + 2*g**2 + 2*g**2) - 66*g**3 - 56*g + 56*g)*(1 - 2*g - 1) in the form y + p*g**2 + v*g**4 + k*g + w*g**3 and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -566 in 1\/8, -68\/5, 4?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 2*r**2 + 27*r + 39. Give t(8).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 163. Let h = -505\/8 + i. Is -1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1244*r**2 - 168*r.\nAnswer: -2488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -117*u + 121*u + 9, -6 = 2*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 61609682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92600463323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 3, 2, -55 in descending order.\nAnswer: 3, 2, 1, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(33)*-3 + sqrt(33))*2)\/(sqrt(33)\/(sqrt(11)*-2)) + -3)*-6 + 1.\nAnswer: -48*sqrt(11) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 1. Let n = -3 - 2. Is n at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 17 = -5. Let p(b) = -b**2 + 5*b - 6. Let k be p(z). Put k, 5, -5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w. Suppose w + 2\/7*c**2 + 2\/7*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 19\/4)\/((-1)\/(-4)). Suppose -4 = -q*u - 2*z, -z = -2 + 3. Solve -3*x = 3*y + 2*x + 4, -u*x = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/55? (a) -3 (b) -2 (c) -1\/4 (d) -2\/5 (e) 2.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4813054 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, 12, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 0.39. What is the closest to 1 in 4, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 46. Let w = 19 + l. Let f be 0 + w\/(-3) - 2. Solve 2 = f*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 66702*t**3 - 330204807*t**2 + 450886176420*t - 137081037852300 = 0.\nAnswer: -11695, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 255. Let b(s) = 2*s + 235. Give -3*b(k) + 2*v(k).\nAnswer: -2*k - 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is acdb80d - 4?\nAnswer: acdb809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u. Let a(y) be the second derivative of 145*y**4\/12 - 36*y. Calculate o(a(j)).\nAnswer: -870*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -2. Let y be b - (1*-21 - 1). Let f = 23 + y. Calculate the greatest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1*((-26)\/6)\/(-13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 120 = -2*b. Let o = 31 - b. What is the highest common factor of 77 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -d - j + 2, 2*j = -4*d + 8. Solve -4*i + 2*i = q + 14, 7 = -3*i + d*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261.63 - 3.37. Let o = -268 - t. Which is the closest to 1? (a) -5 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1823615283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6168.65 - -72.025?\nAnswer: -6096.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j**2 + 2*j)*(j + 3*j - 5*j + (-1 + 4 - 4)*(-j + 0*j + 2*j) + 50*j + 53*j - 56*j) - 453 + 453 + 42*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/23)*g*g**6\/g)\/(g*((g*g**(-15)\/g*g*g*g)\/g)\/g*g**(-1\/5)) assuming g is positive.\nAnswer: g**(2333\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(-1*(-2 - -3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 23 + 52. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1158 and 202843?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/68314842 and 31\/68314842.\nAnswer: 68314842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-2)\/6)\/((-5)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (181 - -1)\/(-1701 + 1687)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-128)\/96*(-6)\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 547 - 547.269. Round y to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94354 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/3 + 30970*p**4\/3 - 30973*p**3\/3 - 61942*p**2\/3 = 0. What is p?\nAnswer: -30971, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3\/y**9*((y\/(y\/(y\/(y\/(y*y*y**4)))))\/y)\/y**(-4) assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**2. Let c = 1400 - 1391. Suppose 2*u - 4 = -2*j - j, 0 = -2*j. Let h(q) = -10*q - c*q + 19*q - 4*q**u. What is d(h(g))?\nAnswer: -160*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 24636 - 73911 + 24637 + 24638.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -0.31839.\nAnswer: -10.50687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8))**(1\/9))**2 assuming s is positive.\nAnswer: s**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (126\/70 - 4\/5) + 411468 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 2. Let x be a\/(-1) - (-2 + 1). Solve 2*p + 3 = 5*z - 18, x = 3*p + z - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 12 = -4*k, 0 = -2*x + 3*k - 3. Is (-1)\/x + (-7364)\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - -126?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238472, 476557, 714642, 952727, 1190812?\nAnswer: 1428897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -394, -3199, -10818, -25657, -50122, -86619?\n\"Answer: -401*f**3 - f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1*5\/(-10)). Suppose 0 = d*m - v - 3 - 12, -5*m + 38 = -2*v. Calculate the smallest common multiple of m and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2 - 11836*v - 11834 = 0?\nAnswer: -5917, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1118 and 3181922.\nAnswer: 1778694398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - w - 10. Let d(p) = -1. Let a(n) = -5*d(n) + t(n). Let o be 14 - 575\/40 - (-102)\/16. Let f(v) = -2*v**2 + v + 4. Calculate o*f(x) + 5*a(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322, 0, 2, 5 in descending order.\nAnswer: 5, 2, 0, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -881875 - 398125. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168399)\/20412*(-1)\/33?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32751075*a + 42082779 with respect to a.\nAnswer: 32751075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053736697 rounded to 7 decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 91*f - 49. Let b(k) = 182*k - 123. Determine 2*b(x) - 5*p(x).\nAnswer: -91*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e26a (base 16) to base 14.\nAnswer: -171a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -51, 15, -5, 5 in increasing order.\nAnswer: -51, -5, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 236\/6*3 + -3 + -1. Let o = m + -109. What is the third derivative of -45*w**5 + 8*w**2 + 45*w**o + 6*w**6 + 8*w**2 wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 3, y: 2, j: 3, l: 1, u: 1}. What is prob of sequence ukjy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9596 is divided by 1165.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173.9 - 0.2.\nAnswer: 173.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449532 - -3199532. What is b rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(c - 2*c + 3*c + (0 - 1 + 2)*(-c + 4 - 4) - c - 2*c + c + 5*c + 4*c + 0*c).\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c + 5*b, b + 2 = 4. What is the lowest common multiple of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*i - 20 = -2*i, -4*a + 20 = 2*i. Let r be ((-15768)\/(-60))\/(a\/20). Let h = -542 + r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50508 or -50433?\nAnswer: -50433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let j be 1\/(-2*(-25)\/(-20)). Does j = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11123205 (base 6) in base 16?\nAnswer: 52715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868247.\nAnswer: 97, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffczbobombb. Give prob of sequence bm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-5)*s**(2\/11)*s**(-12)*s*s**(-2) assuming s is positive.\nAnswer: s**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*o - 239*o + 255*o + 1790 - 279*o.\nAnswer: -2*o + 1790","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 5. Let s(j) = -719*j + 15. Calculate -15*k(x) + 5*s(x).\nAnswer: -3580*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 46. Suppose -3*b - n = -38. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7521431?\nAnswer: 43, 174917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 222*s**3 + 1104*s + 694. Differentiate d(r) wrt r.\nAnswer: 1332*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4014 and -7.1.\nAnswer: 28499.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 93. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64891\/12 - 5401. Find the common denominator of 328\/(-15) - 9\/30 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 37 = -54*f. Suppose 2*y - 10 = -0*y. What is the nearest to y in 2\/7, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*j = 81, -7*w - 73 = -8*w + 3*j. Calculate the highest common factor of w and 12139.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 20 = -3*w, 785*g - 787*g = -10*w - 29 + 21 - 7 - 29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0207 - -0.1207. Which is the fourth biggest value? (a) -8 (b) 3 (c) 2\/11 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 1, c: 4, d: 9, t: 1, l: 1}. What is prob of picking 1 c, 1 y, 1 l, and 1 d?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1639 (base 12) to base 5\nAnswer: 41022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -1. Put 2, x, 1 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2430, -2\/47, 2, 4 in decreasing order.\nAnswer: 2430, 4, 2, -2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 < 839\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4\/(-8)*1). Let i be 73\/6 + h\/(-12). What is the highest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 12, 34, 56, 78?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 8. Let o be q(14). Suppose -24*v = -o*v - 4. Suppose -5*m - 23 = v*g, 0 - 8 = 2*m + 2*g. What is the third smallest value in 0, -3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**24*h\/(h*h**(-34)) assuming h is positive.\nAnswer: h**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, q: 5, v: 4, c: 5, t: 1}. What is prob of sequence oo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76159081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u**12*u*(u\/u**(3\/2))\/u)\/((u\/(u\/(u\/(u*u\/(u*u*u**(-6\/5)*u))*u)))\/(u\/(u\/u**(3\/26)*u))))**(1\/24) assuming u is positive.\nAnswer: u**(833\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344 + -188. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -91*m + 9080. Let x be o(100). Sort 0, 1, 2, x, -3 in increasing order.\nAnswer: x, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*r - 3*r - 2*t, 5*r = -4*t + 35. Let q be 2\/(-2) + r - -6. Solve 3*m - m - q = -2*a, 0 = 4*a - 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59194250749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -154\/11317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 + t + 2. Give l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48430 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = l, 5 = -l + 3. Let b(z) = -3*z - 2 + s*z + 13 - 3. Let w be 30\/(-3)*8\/(-16). Calculate b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w + 40*w - 19*w in the form t*w + g and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14.1. Let d = -158 + 163. Let a = k - d. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**4 + 0 - 7*l**2 - 3*l + 15\/2*l**3 - 13\/12*l**5. Find the first derivative of f(w) wrt w.\nAnswer: -130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**2 + 1 - 1 + 0.\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15777 is divided by 184.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 15. Let i(l) = -l**2 - 7*l + 5. Let z be i(w). Suppose v - z = -4*h, 0*h - h - 1 = -v. Solve -u = v*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z*z**6)\/(z*z\/z**(1\/3)*z\/(z\/(z*z**7)))*((z\/(z\/(z*(z**(-2\/9)*z*z*z)\/z*z)))\/z**(-7))\/(z**4\/(((z*z*z\/z**(2\/13)*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(463\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 914502649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33702 and 466170.\nAnswer: 63865290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1195386, -1195286, -1195196, -1195122, -1195070, -1195046, -1195056, -1195106?\nAnswer: -1195202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o - 35. Let c(z) be the third derivative of -z**4\/12 - z**2 + 47*z. Give m(c(w)).\nAnswer: -32*w - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102244101 (base 5) to base 11.\nAnswer: 274a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, e: 6, l: 1, i: 4}. Give prob of picking 2 e and 1 l.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a - 10. Let p be w(-6). Suppose m = -3*q + 81 + 148, -292 = -4*q + p*m. What is the remainder when q is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 4874035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 6*g + 9 = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*g + 41, -2*q - 17 = 3*q + 2*g. Sort -1, -2, q.\nAnswer: q, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/6*(-4203)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*n**3 + 207*n**3 - 5*n + 8*n + (9*n**2 - 6*n**2 + 13*n**2)*(-11 + 11 + 7*n) to z*n + a + d*n**3 + p*n**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/20 - c**4\/2 - c**3\/2 - 4*c**2 - 14*c + 5. Let m be r(-7). What is the highest common divisor of m and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -32*g**7\/21 - 34*g**3\/3 + 2*g + 3. What is the second derivative of y(j) wrt j?\nAnswer: -1280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13639, -27282, -40913, -54526, -68115, -81674, -95197, -108678?\n\"Answer: a**3 - 13650*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 285*g - 140*g - 144*g to a + r*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -24. Suppose 1 + 1 = -3*o - 2*r, -4*o - n = 3*r. Let x be o + (-8 - -4) + 4. Solve -4*i + 9*i - 10 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g**2)*(2256*g**2 + 5*g - 4*g - 2165*g**2).\nAnswer: 91*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5881 is divided by 109.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14430598 divided by 2?\nAnswer: -7215299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1780476*c. Let k(z) = -6*z. Calculate o(k(d)).\nAnswer: -10682856*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-2) - 9) + 14. Solve -5*f + 9*f = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -491 + 471 - 81*v**3 + 8*v - 2*v wrt v.\nAnswer: -486*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1016, -4?\nAnswer: 1016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 80.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17838575 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5*f**2 + 440*c**5*f + 5*c**2*f - 317*c*f**2 wrt c?\nAnswer: -180*c**2*f**2 + 26400*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173288 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 19337\/6 in descending order.\nAnswer: 19337\/6, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 56 = -16. Solve -3*n + 8 = 5*a, -4*a + 0*n = -n - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2767029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 121, -15, -4, -3 in descending order.\nAnswer: 121, 4, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 299a (base 12) to base 7\nAnswer: 20125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8460)\/249 + (-94)\/3901?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from xxzxzxcxccxxxxxxcxcx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 12*i + 19. Let a be d(-13). What is the highest common divisor of 15 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 4 = 0. Let i be m + -3 - -1 - -5. Suppose -82*u = -80*u - l - 19, 0 = -4*u - 4*l + 32. Put 4, i, 5, u in increasing order.\nAnswer: i, 4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/36 - (-7 - 3\/(-6)*2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -22. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1062, 1069, 1078, 1089, 1102, 1117?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 1.8.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 2*n - 3. Let r(j) = 7*j**2 - j - 2. Let u(m) = 3*i(m) - 2*r(m). Give u(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 2*f**2 - f**3 + 0*f**2 - 2*f**2. Determine l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-56) + (-2)\/(-7))*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-2\/3)\/l))\/l)\/(l*l**(-3)))**(1\/8)\/(l**(-8)\/(l*l\/((l\/(((l**(7\/6)\/l)\/l)\/l))\/l)))**(-2\/9) assuming l is positive.\nAnswer: l**(-293\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1120.1 - 1123.1. What is the nearest to t in 30, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 15*r + 81. Give l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 2, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:51 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 2. Let i be j(-2). Suppose 10 = -i*p + p. Let f = 8 + p. Solve -k - f = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660950804 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55355 - -75?\nAnswer: 55441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*((-40)\/(-12) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.08.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 591876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/1253423 or 1?\nAnswer: 30\/1253423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000608652 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138158 is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.51, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 1)*(-1 + 0 - 1 + c)*(6*c**3 + 8*c**3 + 11*c**3).\nAnswer: 50*c**5 - 100*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278457711 is divided by 367?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 139*u + 3 + 482*u + 177*u to b*u + h and give b.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -521374 and 0.18.\nAnswer: -521373.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*f = -4, 2 = 6*c + 3*f + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31188 - 3*p**3 + 15*p**3 + 93616 - 31217 - 31211.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22*w**2 + 21*w + 83. What is the units digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -m + 80, 34*m - 39*m + 154 = 4*d. Solve -9*z - d = -50 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**3 - 2*h**2 + h. Suppose 0 = -4*l + 1 + 3. Let y be z(l). Let t be 2\/(-7) + (-18)\/y. Sort 2, -4, t in descending order.\nAnswer: 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1654 = 5*d, 2*d + 0*d - 655 = -3*p. Let z be (-240)\/(-32)*d\/(-6). Is (2 - 1)*z\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 18. Let w = l - 12. Let q = 1.46 - 0.96. Which is the closest to -1\/3? (a) 1\/3 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.53+-121.2\nAnswer: -121.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277785 is divided by 182.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23803 is divided by 496.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 59*h**3 - 2347*h + 497*h**3 + 1176*h + 1170*h - 13*h**3.\nAnswer: 425*h**3 - h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 559.0001068 - 559. What is g rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/57 - 24\/19. Let h = -64 - -60.86. Let w = 0.14 + h. What is the second biggest value in -1, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 3*m**2 + m - 1. Let r be q(-1). Let o(i) = -i**2 + 3*i + 3. Let u be o(r). Let k(c) = -c**2 - 8*c - 3. Calculate k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 122789 and 122954 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26, 4, -14, -4.\nAnswer: -26, -14, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 178936332 or 178936334?\nAnswer: 178936334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 - u. Let f(g) = -g**3 + 4*g**2 - g. Let z = -5 - -7. Let i(s) = z*c(s) - f(s). Factor i(j).\nAnswer: -j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:56 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:18 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 13*r + 204. Let c = r + -13. Let a = -574 + 14929\/26. Is a at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = x. Is -4 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318987 divided by -137?\nAnswer: -318987\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.59231 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -22. Let n = -9.9 - m. Let v = n + -1.5. Sort v, -2\/11, -5 in increasing order.\nAnswer: -5, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - k**2 - 15*k + 25. Let r(g) = -g**3 + 7*g - 12. Let o(l) = 13*r(l) + 6*s(l). Let q be ((-12)\/(-8))\/(3\/(-14)). Does 13 divide o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02022 - 36\nAnswer: -35.97978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28591 and 1317.\nAnswer: -37654347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/21)*a*a**(3\/7)\/a)\/((a\/(a*a*(a\/a**(-5))\/a))\/a*(a*a**(-7))\/a))\/((a\/(a*a**(1\/2))*a)**(-3))**(-35) assuming a is positive.\nAnswer: a**(-229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 111 = 64 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 3. Let z = 25437 + -25437. What is the nearest to 0.1 in z, 5, r, -85?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147321 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: What is the third root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.95 - 4. Let p = x + 0.75. Let l = p + 0.3. What is the biggest value in l, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -15 + 7304\/484 - (-129359)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-330) - (-3647)\/(-770)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n*n**(-1\/12))\/((n**(-1\/22)\/n)\/(n\/(n**9*n))) assuming n is positive.\nAnswer: n**(-841\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 - 105. What is the greatest common factor of y and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 7.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 39, 55, 71, 87, 103?\n\"Answer: 16*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.137 - 104.137. Let c = w + 101. Let d be ((-4)\/6)\/((-5)\/(-3)). Put d, 5, c in ascending order.\nAnswer: c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*q - 2*a - 45, -5*q + 4*a + 45 = 0. Suppose 3*t + q = 6*t. Factor -1\/5*p**4 + 1\/5*p - 1\/5*p**t + 1\/5*p**2 + 0.\nAnswer: -p*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16596*p + 663692. Determine g(40).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -168856959664?\nAnswer: 168856959664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*k + 13*p = -167*k + 10*p + 58, 4*k + 122 = 7*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:31 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 15*q**2 + 28*q - 4. Let r be f(-13). Let j(u) = u**2 + 5*u - 2. Let a be j(-7). List the prime factors of a\/r + 74\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 less than -18?\nAnswer: -2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*s**2*x + 2*f*s**2 - 9*f*s*x - 328*f*x + 727*s**2*x + 7*s**2 - s*x + 3*s wrt s?\nAnswer: 2*f*x + 4*f + 1454*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**2 - 29*a + 43. Let o(h) = 7*h**2 - 14*h + 21. Let z(p) = 6*b(p) - 14*o(p). Factor z(y).\nAnswer: -2*(y - 9)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3\/14, 1\/6 in decreasing order.\nAnswer: 1\/6, -3\/14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2479517.7 + 2479522.30000062. Let s = 4.6 - b. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -22950 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 7*x**3\/6 + 3*x. Let d(q) be the third derivative of -17*q**5\/60 - q**2 + 23*q - 12. Calculate d(o(s)).\nAnswer: -833*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 16. Let g = -10 + z. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 485 + 2?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -222. Suppose 4*b - r = 1909. What are the prime factors of b?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*y**2 - 13 + y**4 - 2*y**4 + 133 - 76*y**2 wrt y?\nAnswer: -4*y**3 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-20))\/((-4)\/165) and 42\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:22 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 + 430*w**3\/9 - 1468*w**2\/9 - 1904*w\/9 = 0. Calculate w.\nAnswer: -1, 0, 14\/3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let v(s) = -200*s**2. Determine r(v(y)).\nAnswer: -120000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/9 - 6824344*a\/3 + 5821458878792 = 0.\nAnswer: 5118258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.26. Let n = -1 - 4. Which is the nearest to 1? (a) n (b) 5\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/35 + -29 + 18*9328\/1680.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) -25.4 (c) 5.24 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1\/(-93)*-87.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 22*t + 36*t.\nAnswer: 53*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h - 864*h - 6867 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 9*q**2 - q + 10. Suppose 0 = -3*h - 5*c - 159, 0*h - h - 4*c = 60. Let o be (-3)\/((-4)\/h*4). Is 5 a factor of n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, -162, -1 in decreasing order.\nAnswer: 12, -1, -2, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**6 + 4*h**5 - 83*h**3 - h**2 + 219.\nAnswer: 840*h**3 + 240*h**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4292 from 0.4.\nAnswer: -4291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 greater than or equal to 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+-23602000\nAnswer: -23602001.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2130 and 501829420.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23514794447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 487322830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:13 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by -1?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**4\/4 - 8*f**3 - 39*f**2\/2 - 18*f - 6. Let z(o) = 0. Calculate o.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1534 and 71\/29146?\nAnswer: 29146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 39*(-4)\/40. Put c, 2\/9, 5 in descending order.\nAnswer: 5, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26 + 1 + 34*x + 4 + 17 wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -m + 3, 4*y - 6 = 3*y + 3*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 41*a = -400. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1418, 3280, 5140, 6998, 8854, 10708, 12560?\nAnswer: 14410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*2*-1 - sqrt(396))\/sqrt(11))\/((2*sqrt(108)*-1 + sqrt(108) - sqrt(108))\/sqrt(9)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*h**2 - 13*h**2 - 2*h**3 - 24*h**2)*(-1 + 3 - 1).\nAnswer: -2*h**3 + 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.67449 rounded to two decimal places?\nAnswer: 18.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 - 2*r - 1. Let f be s(-3). Let y be 1*(4\/16 - (-39)\/(-12)). Let p = y - f. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**1*d)*d)\/d)\/d**3*d**(-3)*d**4 assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + (-575)\/65 - (-284)\/13. Let s(x) = 44*x - 54. Is s(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by 86424\nAnswer: 113\/43212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 89148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33866 minus -7.63?\nAnswer: 33873.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 + 110520*b - 56718144 = 0?\nAnswer: -28134, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 138. Let a be q(-9). What is the smallest value in -0.2, a, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3525672 or -3525671?\nAnswer: -3525671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 209 - 113 - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 0, -13, -2, -1, -25 in decreasing order.\nAnswer: 0, -1, -2, -13, -25, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 602. Is v smaller than 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 358, 1597, 3722, 6745, 10678, 15533?\n\"Answer: 2*t**3 + 431*t**2 - 68*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/69)\/((-25)\/(-575))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81214 to three dps.\nAnswer: -0.812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5. Let z be -1*-2*6\/2. Suppose x + 3*b = z, -2*x = -3*x - 2*b + 4. Give k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861152 to the power of 1\/2, to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let q = -0.48 + 0.06. Let i = -0.08 + q. What is the biggest value in i, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23)\/230 + (-4782)\/(-20).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262474, 262494, 262536, 262606, 262710, 262854, 263044, 263286?\nAnswer: 263586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -104 (b) -7\/5 (c) 0.5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20.8*63\nAnswer: 1310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a74e14 + c?\nAnswer: 1a74e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*f + 24, q - 3*f = 4*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.5. Let o = -9 - -8.7. What is the third biggest value in -4, o, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 12:22 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 24\/15)*-5. Suppose 5*o = -3*t - 16, -t - 23 = -g*t + 4*o. Solve t = k - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 88, 12417, 0 in descending order.\nAnswer: 12417, 88, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 11*f - 18. Let k(m) = -m + 16. Let v be k(7). Let n be w(v). List the prime factors of n - (-5 + 2) - -52.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 8*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 66, 339, 2.\nAnswer: -26, 2, 66, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*17\/272*12\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 - 6*v + 2. Let y be h(6). Let l = -23 - -23. Suppose l = y*x + 3*x - 225. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13976 and -0.4.\nAnswer: -13976.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35034 is divided by 17503?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.8, -2, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-14) + 3\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2670)\/178 - (2 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 238 = -41. What is the units digit of 0 - (-4 - (4 + k))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - 9\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = t - 0. Let b be -1 - (6 - 10 - 0). What is the greatest common divisor of t and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5 - 159*u**4 - 1707*u**3 + 159*u**2 + 1710*u = 0.\nAnswer: -38, -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-3*(-2)\/18. Which is the third biggest value? (a) -1 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 5. Let t(m) = -3*m - 11. Let g be t(-7). Suppose g*d - 98 = -4*d. Determine x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11231 - 11224. What is the lowest common multiple of t and 11\/2*1*2?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 31*s - 43. Does 15 divide w(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1614\/5380)\/(8\/((-1120)\/(-12)))*76\/(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o + 1. Suppose -8*a - 48285 = -49341. What is the remainder when a is divided by m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/k**(-2\/7)))\/k**(-2))**(-5\/12))**(2\/101) assuming k is positive.\nAnswer: k**(-25\/4242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c - 76. Let u = c - -34. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141187*n**2 + 7*n - 12135*n**4 + 89*n**3 + 141092*n**2 - 89*n**3 wrt n?\nAnswer: -291240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77149077 + 77149077 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 - l**2 + 4*l**2 - 8*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 - 1134*x - 107163 = 0.\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 359453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2738.2 - -2359. Let n = 378.8959 + r. Let m = n - -0.31. Round m to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:05 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3642694045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 50*o**3 - 2*o**2 + 58*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 - 8*g + 10. Let a = -1 + 0. Let d = 1 - a. Suppose 0 = -m + d*i - 20, -3*i + 2 = -1. Let w(f) = f**2 - f + 1. What is m*w(q) + 2*y(q)?\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4*(-3)\/(-15). Let c = r - -9\/20. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 2*c - 6. Let j be u(4). Suppose z = -3 + j. Calculate the remainder when ((-36)\/15)\/(-2)*410\/4 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, -24, -43071, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/3)\/(-7)*6\/(-38)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52034 rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(1331)*5 - 6*(-3 + sqrt(1331))) + 2))**2.\nAnswer: -7040*sqrt(11) + 341136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szuzszzazzazszzz. What is prob of sequence zz?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 6*k - 6. Let r(f) = 8*f**2 + 17*f + 17. Suppose 2*y + y = -c + 53, -66 = -4*y + c. Calculate y*w(d) + 6*r(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-162) + 70\/(-18))*8. Let d be ((-56)\/f)\/(2\/(408\/3)). What is the highest common factor of 34 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 + 91 = -74*u - 98 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5228*v + 93455. What is f(-18)?\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 10) in base 16?\nAnswer: -14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.5 - -20.2604. Let j = 328.76 - 328. Let r = j - z. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38376 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*v + 0*v = -5, -o = 4*v + 4. Let u(g) be the third derivative of 2*g**2 + 0 + 1\/60*g**5 + 0*g**4 - 1\/6*g**3 + o*g. Solve u(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/30)\/((-1)\/(-3))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6b0 (base 13) to base 5\nAnswer: -14112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -35*m**3 + 158*m**2 + 306*m - 16. Determine j(-2).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 10201*s - 2 = 10198*s, -6*s - 2 - 11 = -i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*n - 6 = 0, 0 = -3*m + 4*n - 0 - 4. Let y(d) = -7*d - 1. Let a be y(-1). Let u = a + m. Solve 2*l - 3*s + 7 = 0, u*l + 14 - 1 = -3*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + a - 14, -297045*s + 35 = -297049*s - 5*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 8*h + 2. Suppose -3*p = -3*b - 27, -5*p = -0*b + b - 21. What is the remainder when p is divided by y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2342092 micrograms in grams?\nAnswer: 0.0000002342092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 82.9. Let a = -7 + 26. Let m = a - h. Are 1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 215042696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*25\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14580*t + 14580*t - 339*t**3 - t**2 + 0 + 0 + t**3 + (-2*t**3 + 0*t**3 + 3*t**3)*(-5 + 1 + 2).\nAnswer: -340*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1873289 - 20581525\/11. Let z = -2244 + x. Let w = -128\/55 - z. Which is the smallest value? (a) -3\/7 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 194203502 + 194203502.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8678*i + 182192. Calculate p(-21).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 - 2*u - 9*u**2 + 36*u**2 + 2397 - 10*u**2.\nAnswer: -2*u**2 - 2*u + 2397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*q + 115*q = 175*q - 59*q + 74936 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k - 3. Let m be f(-3). Suppose 7 = -5*c - 4*o + m, -o = -3*c + 9. What are the prime factors of (6\/(-8) + 3)*c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 20*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*u - 108330 + 108330 + 259*u**3 - 4*u**2 wrt u.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:26 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 263261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 68. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8370 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -1 - (112 + (125 - 175))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 - -2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3, -3.\nAnswer: -3, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 33244 + 33970 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 27*v + 50 = 31*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**3 - 21*d + 22*d**3 + 4*d + 33*d**3 wrt d.\nAnswer: 390*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 p when four letters picked without replacement from {c: 2, g: 1, k: 1, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-672)*-9)\/((-36)\/(-7) - 6). Let f = 2 - 1. Put -1\/6, f, j in decreasing order.\nAnswer: f, j, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16876908 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*f, 4*f - 8 = -u - 28. Solve -3*r + 7*r - 5*q - 31 = u, 5*q = 3*r - 27 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -7*i + 8*i + 6750, 4050 = 3*p + 3*i. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 490 and 109956.\nAnswer: 549780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 24*v - 602. Solve -3*o = -v + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 5*q + 2, 3*r = 2*q + 16. Let g be 6\/9 - r\/(-12). Let v be (g\/(-8))\/((-1)\/(-6)). Is v bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23656 is divided by 249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) 6\/61 (c) -867 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-2\/103)*((z*z\/(z\/z**24)*z)\/z)**(9\/4) assuming z is positive.\nAnswer: z**(23223\/412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 26936.8 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/17 + 114*f**4\/17 - 2682*f**3\/17 + 1646*f**2\/17 + 21792*f\/17 - 1800 = 0. What is f?\nAnswer: -75, -3, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (5 - (13 - 3) - 2)) + -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**22*x**(-2)\/(x*x*x**(-2)) assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 4068*f + 2398*f + 1664*f.\nAnswer: -6*f - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - 1.6. Which is the second biggest value? (a) 3\/5 (b) -1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 14058\/207) + (784\/(-23) - -34)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206.3 - 30.3. Let i = 162 - w. Which is bigger: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -144.3. What is the biggest value in 0, 0.071, f?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g - 2. Suppose -3 = -3*m, m + 432 = g*y - 229. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 9*u - 11. Let d(p) = 4*p**2 - 4*p + 5. Give -5*d(l) - 3*g(l).\nAnswer: l**2 - 7*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(8\/(-12))\/((-4)\/3). Solve -3*x + 5*s - c = 0, s - 2*s = x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 3, y: 2, m: 1, t: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -121*g + 2707. Determine u(22).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -313230324 (base 5) to base 10\nAnswer: -1305089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {u: 5, o: 1, c: 5, q: 5, x: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + (-2)\/2 - -2. Suppose -r - s*r - 14 = 0. What is the hundreds digit of 1802\/12 - r\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 19839444*x + 39678896 = 0.\nAnswer: -2, 9919724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 9, o: 1, d: 2, a: 1, z: 1}. Give prob of sequence aok.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -5 + (-7 - -2 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5810 - 5807. Let a(o) = 76*o**3 - 4*o**2 - 2*o - 9. Let h(v) = -229*v**3 + 13*v**2 + 7*v + 28. Let q(i) = 7*a(i) + 2*h(i). Is q(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -170*s + 356*s - 170*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 627714115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39906287 to the power of 1\/2, to the nearest integer?\nAnswer: 6317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0279 - 0.0074. Let y = p - -41.0453. Let i = 41 - y. What is i rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 528901076 and -0.1.\nAnswer: 528901075.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 1826 = -2015. Suppose x*g + 1982 = 7463. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/105)\/((-5)\/(-15200)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/12 and -71\/1984.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -181400 plus -0.02?\nAnswer: -181400.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 1472*m - 7117321. What is v(1554)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 6922566?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -331, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u - 5. Let b be l(-2). Suppose 84 = -b*w + 25*w. Is w a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 980.8861252 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1099 + 2219. Suppose 0 = -15*q + 7*q + c. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, g: 1}. Give prob of picking 1 g and 2 m.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2493*a**3 - 6*a**2 + 5*a - 72. Suppose 14*u - 51 = 3*i + 17*u, 85 = -5*i + 2*u. Let r be w(i). What is r rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1948, -1942, -1934, -1924?\n\"Answer: k**2 + 3*k - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -101?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-7)*(-496)\/806.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(42\/35)*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.61278l to millilitres.\nAnswer: 34612.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -10 (b) -3\/7 (c) -1\/3 (d) -0.06074 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 + 8804*f - 26376 = 0.\nAnswer: 3, 2198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*r)*((4 - 3 + 0)*(2*r - 4*r + r) - 4 + 4 - 2*r) + 4*r**2 + 0*r**2 - 5*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311053 is divided by 310961.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27 - 30 + 2*v + 57. Let u(c) = -6*c. Calculate h(u(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458393959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000211904066 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111004 (base 5) to base 3.\nAnswer: -12022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 14*u - 138 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 77. Suppose -2*q + c = d + 2*d, d + 4*q - 8 = 0. Calculate the least common multiple of 18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*t**3 + 4*t**5 + t**2 - t**4 - 5*t**5 - 48*t**3 + 12*t - 32*t + 12 = 0. What is t?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.29788ml?\nAnswer: 0.02529788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190100 (base 10) in base 12?\nAnswer: -494870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6983020 and 107\/159974640.\nAnswer: 1759721040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.904*0.397\nAnswer: 0.755888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let y be n(2). Is y smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 2c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 93158772.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -449, -208, 459 in descending order.\nAnswer: 459, -208, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -291099, -582195, -873289, -1164381, -1455471, -1746559, -2037645?\n\"Answer: l**2 - 291099*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258*d**3*i**2*m**2 - 30*d**3*i*m**2 + d**2*i**2*m - d*m**2 + 32594*i**2*m wrt d.\nAnswer: 1548*i**2*m**2 - 180*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -22 (b) 128 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - 6*f**3 + 10 - 6 + 21*f**3. Let u(q) = -31*q**3 - 10*q**2 - 9. Let r(t) = -9*n(t) - 4*u(t). What is the third derivative of r(h) wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/24 + 4*v**3\/3 - v**2. Let m be u(-6). Determine h so that -2*h**2 - 2*h**3 + 5*h**4 + m*h**5 + h**4 - 4*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827955 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 + -2 + 2. Suppose 4*s - 527 + 531 = 0. Is s not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**10\/720 - m**6\/24 + 14*m**3\/3 - 10. Let w(t) be the third derivative of o(t). What is the third derivative of w(a) wrt a?\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/13 < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 2286, 5193, 9292, 14577, 21042, 28681, 37488?\nAnswer: 47457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:05 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -109.24 and -2.\nAnswer: -111.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(-3 + (-10)\/(-3))*-1. What is the fourth smallest value in -1, 2, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8 - 2*h**3 + 16*h**2 - 36*h - 10 + 11 + 3*h**3. What are the prime factors of b(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + p + 4. Let k be c(0). Let i be -1 + 1 - k\/(-1). Let n = 31 + -19. Solve 5*f - 4*h - n = 0, -i*f + f + 3*h + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 1, n: 1, h: 1, c: 1, i: 1}. Give prob of picking 2 h and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. Give n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24430.\nAnswer: 2, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 7 = 5*b + 134, 0 = b - 4*i + 7 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**5 + z**4 - 2*z**2 + 6*z + 1. Let g(i) = 3 - 2*i - 2*i**4 + 3*i - i**3 - 4. Let t(d) = -16*g(d) - 3*u(d). Factor t(w).\nAnswer: 2*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 7*x - 7*x + 9*x - 2563*x**3 + 10*x.\nAnswer: -2563*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhkkhkhhhhhh?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - s + 8 + 10 - 6 - s**2 - 2*s**4 - 15 + 6*s**3 as l + u*s + y*s**4 + n*s**3 + i*s**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) + (-4601974)\/156. 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: What comes next: 4347, 4317, 4271, 4203, 4107, 3977?\nAnswer: 3807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -444, -1380, -3180, -6132, -10524, -16644, -24780?\nAnswer: -35220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcgccccggugccesc. Give prob of picking 2 g, 1 c, and 1 s.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 100 (c) 0.0093 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.83 (b) 138 (c) -0.026 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1609, 204, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 = -6*l - 2*v, 11 = 3*l + v. Let n be 2*3 - (3 + -1). Find the third derivative of -n*y**2 - y**2 + 3*y**l - 3*y**6 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = 11*h - 4*h. Let l = h - -164. Find s such that 0*s + l*s**2 + 2\/7*s**3 - 1\/7*s**4 - 1\/7*s**5 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*t + 193 + 22 = 0, -5*t = 25. Let v(o) = 2*o. Let f be v(2). What is the highest common factor of f and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -22*j + 26. Let g(v) = 13*v - 11. Let l(k) = -6*k + 4. Let u(x) = 3*g(x) + 5*l(x). Let y(d) = 2*o(d) + 5*u(d). Determine y(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.159 take away 75010?\nAnswer: -75009.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9562.\nAnswer: 2, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22*k**2 + 38*k - 7. Determine u(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 2*m + 2*m - 2*m to the form r*m + z + d*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:37 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 2*z + 4. Let y be g(-3). Let s(j) = j**3. Let c(v) = -11*v**3 + 2*v**2 - 2*v + 1. Let i(h) = y*c(h) + 3*s(h). What is i(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411506847.\nAnswer: 3, 839, 54497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 21.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:38 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 34*b + 32 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/11)*i*i**(-7\/5))\/(i*i**(-2)*i*i*i**(3\/16)*i) assuming i is positive.\nAnswer: i**(-2197\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487.88 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + c**3 - 18*c**2 - c**3 - 2*c**3 - 12 + c**4 + 2*c - 10 to z*c**2 + j + s*c + b*c**4 + i*c**3 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3022 = 41*j + 85*j - 1892. Calculate the remainder when 189 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1876)\/21*(-30)\/(-20). Let f = s + 143. Is f at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 36 - 7 - 26 + 28*i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*(-1 - -7). Let s be 2\/2 - (d - 1). Suppose 5*h - 23 = -s*h + 3*k, 2*h + 4*k - 30 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -117798*g + 2709356. What is i(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -1\/146, -1\/11, 0.4, -2\/9, 3?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 5*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138239?\nAnswer: 138239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1a1 (base 15) to base 4\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69310*b**4 + 26*b**2 - 1638703?\nAnswer: -277240*b**3 + 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/6 - q**2\/3 + 13*q\/2 - 12 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 48, 49, 50, 51, 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001608726 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -24*m**2. Let i(o) = -2165*o**2 + 1101*o**2 + 1085*o**2. Give i(w(g)).\nAnswer: 12096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 y, and 1 h when four letters picked without replacement from {u: 1, x: 1, y: 2, h: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-474990)\/(-120) + (-2)\/8?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145622 (base 8) to base 6.\nAnswer: 1041134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7602 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: Round 12.625612 to 3 dps.\nAnswer: 12.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44\/6*((-2040)\/(-88) - 15) and 669?\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 22*x**2 + 2. Let j(f) = 210*f**2. What is j(m(q))?\nAnswer: 101640*q**4 + 18480*q**2 + 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 + 1. Let s be (-6 - -4) + (5 - c). Suppose -s*x - q = -75, 3*x + 10 = 4*x + 2*q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x*x*x**(-10\/9))**(7\/6) assuming x is positive.\nAnswer: x**(595\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618717 at most as big as 4618631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frraaarrrrrra. Give prob of sequence af.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/30)\/((-1)\/(-2)). Let n(q) = -4*q + 26. Let z be n(6). Which is the closest to 0.1? (a) r (b) z (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*n - n - 22 = 0, 5*f + n = 13. Let z = f - 4. Are z and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*d + 31 = 8*d, -3*s - 1 = -4*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -282. Let f = -81 - v. Solve j + 2 + f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1 + i + 0*i + i**2 + 0*i**2. Let h(p) = 2*p**3 - 2*p**2 - 4*p - 2. Calculate -2*b(v) - h(v).\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19143*a*u**2 - a*u + 1503074*a + 9*u - 1 wrt u?\nAnswer: -38286*a*u - a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/23520 + 3*q**7\/980 - 13*q**6\/1260 - 31*q**4\/4 - 83*q**2. Let r(m) be the second derivative of j(m). Factor r(g).\nAnswer: -2*g*(g - 26)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 3. Let b be w(-2). Let m = 12 - b. Let l = m - 1. Solve -l*d + 5*n + 0 = -14, -2*n - 9 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(245) + 1)*1 + 2*2*(0 + sqrt(245)))**2.\nAnswer: 70*sqrt(5) + 6124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -12\/773 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10825606.\nAnswer: 2, 11, 263, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(432) + sqrt(432) + (sqrt(432) + 0 + sqrt(432))*1 + -6*-4*sqrt(432)*1) + 3 + -3)**2.\nAnswer: 8467200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31071274 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(21\/9378*-2). Suppose -5*i + 2621 = -15279. Let y = p - i. Calculate the common denominator of y and 63\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-1250)\/(-13125).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1\/(-2 - -3)). Suppose -4*m + 20 = o, -c + 0*c = -3*m + 14. Solve 4 - c = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 164*g + 138*g + 925. Suppose 2*q + 4 = 3*q. Sort g, -5, q, 17 in increasing order.\nAnswer: -5, g, q, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 - 172 + 336 + 386)*(-4*s**3 - s**3 + s**3).\nAnswer: -3368*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -v + 2*l, 0 = -4*v - 24*l + 29*l + 100 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646777999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255259291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)\/(v\/v**(2\/3)*v))**(1\/22)\/((v\/(v\/v**(-1\/5)))\/(v\/(v\/v**(-3\/8)))*v**(-8)\/(v\/v**6)) assuming v is positive.\nAnswer: v**(3169\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 4*f = 37, 0 = 4*g + f + 216. Let y = g + 71. Calculate the lowest common multiple of y and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -25*g + 51. Factor 14*b**3 - 13*b**3 + g*b**4 - 3 + 6*b - 7*b**3.\nAnswer: 3*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 42 - 19*v**2 + 18*v**2 - 214 - 4*v**2.\nAnswer: -8*v**2 - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 12708*n**3 - 10086972*n**2 - 10099684*n.\nAnswer: -4*n*(n - 1589)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Calculate the remainder when 26 is divided by (-2)\/a*(-21)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**3 + 7*m**2 - 28*m - 7. Let r(l) = -l**3 - 2*l**2 + 9*l + 2. Determine -2*a(c) - 7*r(c).\nAnswer: -c**3 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1113\/(-18) - (1 + 0). Let h = -63 - k. Put -2, h, 0.1 in decreasing order.\nAnswer: 0.1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -38*p + 270 + 41 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 - 2 + 4 - 10*f**2 - 9*f + 5*f**2 - 4*f**3 + f**2 to the form h + m*f + w*f**2 + g*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/5)\/p))**(1\/24)\/((p**0\/p)\/p*((p*(p**(-2)\/p)\/p)\/p)\/p))**(-45) assuming p is positive.\nAnswer: p**(-639\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*y**2\/3 + 42344*y\/3 - 16936\/3 = 0. What is y?\nAnswer: 2\/5, 4234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 14. Give p(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -5*h - 4*o, 271*h - o + 319 = 278*h. Calculate the highest common divisor of h and 1196.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 59326949.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(57)\/(-6*1*sqrt(3)) - (sqrt(209) - (3*sqrt(209)*-6 - sqrt(209)))\/sqrt(11)))**2 + -5 + -1.\nAnswer: -242*sqrt(19)\/3 + 278107\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17711192509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, -4.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32282482481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + y - 40 = 6*y, -o = 2*y - 6. Suppose 5*c + 4*g + 16 = 4*c, -2*c - o = -3*g. Do -7 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4400 = 18*j - 1118*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**3 - 25*t**2 + 10*t.\nAnswer: 5*t*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 5*p - 258. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32052 - -5?\nAnswer: -32044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-231)\/78 - 2286\/(-1016) and -18\/107.\nAnswer: 5564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, 0.4, -4, -64, 2\/13, 938?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134995 in 0.3, 20, 1\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - 60\/(-14). Let t(y) = w*y - 2*y - y. Let o(b) = 2*b**2 - 26*b - 338. Let p be o(21). Let k(u) = 1. Determine p*t(i) + k(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*j + 4 = 1411*j + 3*k, 0 = -3*k + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*m**4 - 9938*m**3 - 3*m**2 + 9938*m**3 + (4*m**3 - 5*m**3 + 3*m**3)*(0*m - 3*m + 5*m).\nAnswer: -93*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u + 13. Let c(s) = 5*s + 6. Let w(g) = 9*g + 11. Let i(y) = u*w(y) + 11*c(y). Let v(r) = 42*r. Give v(i(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4787049*q**4 - 437356*q wrt q.\nAnswer: -57444588*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-2898))\/((-2)\/(-7))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 128.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 286 - 90 - 100 + 19*c**3 - 3*c**2 - 100 + 5*c. Let a be b(1). Solve 0 = -5*q + 3*w - 27, q + 8*w = 3*w + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12021 (base 4) to base 7.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.12 + 29488.88. Let u = -29563.2757 + m. Let o = u - -1.27. What is o rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*d - 10*d - 17, -2*o + 4*d = 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*t = r + 23, 1 = 3*r - t. What are the prime factors of (3 + 2 - r) + 7?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 137898 = 5871. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15080053 by -1129.\nAnswer: -13357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 4) + 160\/25. Sort 2\/9, 0.2, l in descending order.\nAnswer: l, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 1)*(15*w**2 - 9*w**2 - 11*w**2)*(w - 3*w - 4*w)*(-6*w + w - 3*w).\nAnswer: -1200*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*k**2 - 24*k**2 + 96 - 37*k**2)*(-3 + 2 + 2)*(-5*k + 2*k + 2*k).\nAnswer: 2*k**3 - 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 40. Let y(k) = 7*k**2 + 2*k - 3. Suppose 0 = -4*t + 4*r - 24, -2*t - 4*r = r - 9. Let n be y(t). What is the greatest common factor of o and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 668 + -670. Sort d, 0, 108 in decreasing order.\nAnswer: 108, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -1) + -2 + (-5429)\/(-348). Let b = t - -13\/87. Calculate the common denominator of b and -9*(-1)\/3 - (-81)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-518)\/(-72) - (-26 - -33) and -47\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 7*r + 416 = 0. Suppose 4*q = 6*m - 2*m + 32, -4*q - m = -r. Solve -13*p - q = -11*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -18834 times -0.2\nAnswer: 3766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47 times 0.00001\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjwhwhhhjehhewhwjwh. What is prob of sequence ee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2209 is divided by 78?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(-2 - -4)*-157. Suppose -290 = 6*p - u. What is the first derivative of 475*g**2 - p*g**2 + 6 - 3*g**3 wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**7\/6 + c**4\/4 - 7*c**3\/3 - 5*c**2\/2 - 680*c. Find the second derivative of y(k) wrt k.\nAnswer: 140*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*q - 2, -2*q - 8*s + 24 = -13*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97b + 49?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*o + 3)*(2*o + o - o) - 116*o - 1360*o**2 - 2 + 432*o - 114*o - 202*o.\nAnswer: -1356*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f + 2. Let v(q) = -2*q**2 + 56*q - 14. Determine 6*o(w) + v(w).\nAnswer: 4*w**2 + 62*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*z + 326 + 14, -f = -2. Let n = 7 - 4. Suppose 15 = n*d - 15. What is the highest common divisor of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 16*n**2 + 2*n - 8*n**2 - n**2 + 1 + 8*n - n**3. Is 8 a factor of v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 50*n**2 - 439*n - 1387. Determine w(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 702, 5691, 19250, 45669, 89238, 154247, 244986?\n\"Answer: 715*r**3 - 5*r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950785 by -69.\nAnswer: -42765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 49\/4. Let w = i - 5. Suppose w = 5*z - 13. Solve -z*h + 0 = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) 2 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 e when four letters picked without replacement from ettetetetteetttteete?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 7*r**3 + 2*r - 8*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -41, -88, -155, -242, -349?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*a + 6912 = 870*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a**(-3\/2)\/a*a))\/a*a*a*a**(-6)*a)**6)**(-9\/4) assuming a is positive.\nAnswer: a**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 10 - 10)*(2 - 6 + 2) - 73*h - 15*h + 24*h.\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 2964 - 2966 + 43*y + 21*y.\nAnswer: 49*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 = -55*s - 689 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266716154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 3, -2, 2\/5, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210 - -209.9964. What is k rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.0103381 to three decimal places.\nAnswer: 16.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0*s**3 + s**3)*(-1 + 5 - 5) + 3*s**2 - 11*s**3 - 2*s**2 + 3*s**3.\nAnswer: -10*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1801021, -3602056, -5403089, -7204120, -9005149, -10806176, -12607201?\nAnswer: -14408224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 499*x + 313. Let t(m) = 998*m + 522. Calculate -3*t(s) + 5*y(s).\nAnswer: -499*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448) + 1 + sqrt(28)\/(2*sqrt(16)\/sqrt(4)).\nAnswer: -15*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7801 - 3260 + 3621*l**3 + 2624*l**3 wrt l.\nAnswer: 18735*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -3. Let y = -18 - s. Let j(l) = 15*l - 7. Let n(u) = 8*u - 4. Let t(a) = y*n(a) + 6*j(a). Find the first derivative of t(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1828, -3621, -5376, -7075, -8700?\nAnswer: -10233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let m be (-1 - 2)\/(-9) + -1. Which is the smallest value? (a) o (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -26, -32, -40, -50, -62, -76?\n\"Answer: -y**2 - y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*k - k**2 + 98 + 77 - 173 in the form h + t*k + s*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11422321042 - -2?\nAnswer: -11422321040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38234 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kujgggkbbg. Give prob of sequence ug.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -p*l + 536 - 201 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 4*h + 4. Let a be f(6). Suppose -5*n + 510 = -7*c + 3*c, -217 = -2*n - c. Is (n\/a)\/((-8)\/32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1700))**2 + sqrt(153)*4.\nAnswer: 12*sqrt(17) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h\/(h**32\/h))\/h)*h*h**(7\/8)\/h*h)\/(h*h**(-1\/3)\/h*h**(1\/27)*h))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/259, -0.3, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g + 7. Let j be t(5). What is the units digit of 3\/(j + 26\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 + 57*k + 198 = 0.\nAnswer: -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b - 980 = 5*b. Calculate the greatest common factor of 32 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571 - 123. Suppose 0 = 5*g + 73 - r. Calculate the least common multiple of g and 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 + 248 = 2*n. Suppose q = -c - 28, 4*q - n = 5*c - 40. Let d = 47 + c. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(-8*1\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-14)*(-3)\/4. Let x be 1\/7 + 27\/(-42). Which is the closest to -2\/5? (a) h (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16862.048 and -25476230.\nAnswer: -25493092.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2227272 and 22.\nAnswer: 24499992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 50*u**2 + 36*u - 569. What is v(-49)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g - 8, 4*c + 8 = -4*g. Let w be c\/(-14) + (-270)\/(-35). Let x = -6 - -11. Solve -w = -x*h + 2*q, 2*q - 3*q = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btcttttbwowbi. What is prob of picking 1 b and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013181 to 6 decimal places.\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + (6 - 8))) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (46\/(-92))\/((-2)\/15968). Is (w - 4)*(-14)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -2\/23 (c) 0 (d) -1\/6 (e) 22 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325413 (base 6) in base 5?\nAnswer: -4330214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x + 18. Let u(g) = g**2 + g. Let k be u(-1). Let h be d(k). What is the greatest common factor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((4 + -15 - -3) + 24)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*z - 530*z - 46365 = -418*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -342 - -862?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuj when three letters picked without replacement from {u: 2, c: 2, l: 6, j: 3, m: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29830369 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115399 is divided by 36884.\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 14)*(3 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6489 and 11025?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.09 - 0.09. Which is the closest to -1? (a) 1\/5 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141 + -21104?\nAnswer: -22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/126 and 16\/41.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = 7*z. Sort 1, 2, z in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(192) + -2) + (-5 + sqrt(192))*-4 + 1)**2.\nAnswer: -3024*sqrt(3) + 10137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*g - 41*g**2 - 122*g - 60*g**2 in the form w*g**2 + s + c*g and give w.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -103011, 5, 9, -1 in decreasing order.\nAnswer: 9, 5, -1, -2, -3, -4, -103011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9071925?\nAnswer: 3, 5, 29, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((-26)\/(-1) - 24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3393*n - 3274*n + 6564*n - 10609 = 0 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 5, -1, 2164, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 12*f = -4*f. Solve -5*i = -0*i - 5*m + 5, i + 5*m - 17 = f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/1496*(0 - 3\/(-84))?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96439, -385464, -867069, -1541254, -2408019?\nAnswer: -3467364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(-6*sqrt(104)*4)\/(sqrt(56)\/(sqrt(7) + sqrt(7)*3 + sqrt(7) + sqrt(7))))**2 + 3.\nAnswer: 4313093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63250 and 4674.\nAnswer: -295630500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*s**3 + 49565*h**2*s + 320326*h*s**5 + s wrt s.\nAnswer: 6*h**2*s + 6406520*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2\/7, 2926 in decreasing order.\nAnswer: 2926, -2\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62\/399 - -3\/266. Put l, -2\/113, 1\/2 in descending order.\nAnswer: 1\/2, l, -2\/113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/9*b**3 + 4*b - 22\/9*b**2 + 2\/9*b**4 + 0 = 0. Calculate b.\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1220584 + 4*h - 1220584. Let z(r) be the third derivative of -17*r**4\/6 + 2*r**2. Determine s(z(k)).\nAnswer: -272*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let o(q) = -172*q - 330. Let y be o(-2). Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + v - 12 = 0, -7 = -4*k - v + 10. Is (1256\/20 + -4)*k a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/3*(-30)\/(-4)*(-284)\/710)\/1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5533120 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 316 - -35?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362540.\nAnswer: 2, 5, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(117\/((-334854)\/54))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose -r - 12 - 39 = -3*v, 0 = 3*v + y*r - 51. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**4 - 4*a**3 + 4*a**2 + 4*a + 7. Let g(h) = -h**4 - h**3 + h**2 + h + 1. Let x(y) = -c(y) + 4*g(y). Differentiate x(r) with respect to r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 6. Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3.36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -17, 18, 11\/3, 4?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Suppose 25 = l + n*x, 0 = -4*x - 9 + 25. Solve -3*r - d + 5 = 4*d, l*d - 25 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2430 and 70.\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/2, -0.1, 10, 3\/7, -2\/13?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**3 + 2*c**2 - 6*c - 18. Let f(z) = -24*z**3 - 5*z**2 + 11*z + 35. Let l(u) = -6*f(u) - 11*j(u). Give l(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7175*j = 7155*j + 760 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 32*j**2 + 6*j - 83. Is k(-26) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101837106.9072 - 1\nAnswer: 101837105.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25777013709 and -15546?\nAnswer: 25776998163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 + -11)) + 22 + -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.96 - -0.14. Let l = 1 - s. What is the second smallest value in -2\/21, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 7, 0.5, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -33. Let n = -15 - u. Are n and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -122, -82, -80, -116?\n\"Answer: -19*r**2 + 97*r - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 j when four letters picked without replacement from {t: 6, j: 10, w: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0997534 millilitres to litres.\nAnswer: 0.0000997534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9 - 165 = 0. Is (-3 + 6)\/(-1) + z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698192395?\nAnswer: 5, 149, 937171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135485034.\nAnswer: 2, 3, 157, 143827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 336609?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.79 and 3?\nAnswer: 3.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/183155847?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99892 times -3860?\nAnswer: -385583120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) 0.4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - 3*w - 2. Let g be n(-1). What is the least common multiple of 11 and 4*(-245)\/(-84) + 2\/g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*x**4 - 32*x**3 - 396*x**2 - 407010*x?\nAnswer: 1572*x**2 - 192*x - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 273776330 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: Suppose 3*j = -3 + 9. Suppose m - 582 = -j*m. Is m 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 {o: 2, m: 1, w: 1, t: 1, s: 1, c: 2}. What is prob of sequence wco?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 3*n**2 + 4*n - 25. Calculate w(-6).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -5, -1\/2, 16 in decreasing order.\nAnswer: 16, -1\/2, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*d - 55 - 25, -3*i - 60 = -3*d. Suppose -4*j = 6*j - d. Let z(o) = 4*o**2 + j*o + o - 3*o. Let v(k) = -2*k. Calculate v(z(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604770 is divided by 612?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*g**3*t**2 + g**3*t + 492*g**3 - 447*g**2*t - t**2 + 47*t + 1 wrt g.\nAnswer: 78*t**2 + 6*t + 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 31\/2. Let s(x) be the first derivative of -r*x**4 + 0*x**3 + 2 + 0*x - x**2. Find the second derivative of s(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/12 + 2\/3. Let x(m) = -m + 6. Suppose 4*r + 23 = 5*v, -4*v - 2*r = r - 37. Let n be x(v). Put n, 4, s in increasing order.\nAnswer: n, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/3 - 754*u**2 + 15877*u\/3 - 4538 = 0. Calculate u.\nAnswer: -2269, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(76))*-5 - (sqrt(76) - (sqrt(76) - ((sqrt(76) - -1*sqrt(76) - sqrt(76)) + 2)))**2) + (sqrt(76) + (-1 + sqrt(76) - sqrt(76))*2 - sqrt(76))*-3.\nAnswer: -79 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32931847, -32931846, -32931843, -32931838, -32931831, -32931822?\n\"Answer: x**2 - 2*x - 32931846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5730 and 9125980.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883837032.\nAnswer: 2, 360479629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217090 and 7870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/33 - -46\/99. Let m be 36\/8*120\/1890. Which is the smallest value? (a) 5 (b) t (c) -0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1\/c)**(-30))**(-20\/7) assuming c is positive.\nAnswer: c**(600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (sqrt(180)*-1)**2 + -3.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -346*q + 1785*q - 251*q - q**3 + 0*q**3 - 343*q + 2*q**2 in the form b + i*q**3 + g*q**2 + a*q and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*n = 9*n + 5231, -z + 2612 = -3*n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192 + 257. Let t = c + 220. List the prime factors of t.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30768739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 623 + -623. Let b(f) = -f**2 + 6*f + 6. Let r be b(6). Let w(u) = u**3 - 6*u**2 + 2. Let s be w(r). Solve -p - v + 9 = c, 2 = s*p - v - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/945 or 1?\nAnswer: -2\/945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 54, 62, 50, 12, -58, -166?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:27 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3*g**2 - 120*d**3 + 3*d*g - 4*d + 154414*g**3 + 267 wrt g?\nAnswer: -16*d**3 + 926484*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-640)\/65 + 190\/19. Let t = -952\/5 - -191. Which is the fourth smallest value? (a) -0.4 (b) 0.4 (c) r (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1302 - -926. Let n = o + 531. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11268 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 13 - 61 + 5*q + 18 + 19 + 0*q.\nAnswer: 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*d - 3289 = -75*d + 120*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-18)\/12*(-2)\/(-3)))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, -7104, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 25*m - 22*m. Which is greater: m or -1\/233?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*j + 20918 + 54124. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.14646 nanoseconds in minutes?\nAnswer: 0.000000003102441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26514534.\nAnswer: 2, 3, 4419089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1029 - 916. Suppose -70 = 5*z - 5*b, -112*z + 23 = -o*z + 4*b. Let m(i) = 3*i - 3. Let u be m(2). What is the third biggest value in 4, u, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40788893 to the power of 1\/2, to the nearest integer?\nAnswer: 6387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 26*f**2 + f + 18. Let n be j(-13). Suppose 52 = -n*a + 122. Suppose 4*q - 6*q + 8 = 0. Solve q*t + 0*t + a = m, m = -t - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 4333179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1) + (-15 - -35) - 35?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-1))\/(150\/20). Put -3\/11, s, -1\/7, -2\/11 in decreasing order.\nAnswer: s, -1\/7, -2\/11, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 17*w**2 + 33*w**2)*(-2*w - 5*w - 2*w)*(-2 + 2 + w).\nAnswer: -414*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 824 - 824. Let x(t) = t**2 - 6*t + 2. Let f be x(6). Let h be 1 - (2*9)\/(-2). Solve d*y = -f*y + h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 0.09058125306.\nAnswer: 0.39058125306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -656*v + 1077. Let f(t) = -1310*t + 2155. Let z(q) = 2*f(q) - 5*x(q). Differentiate z(w) with respect to w.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34469 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/(-2))\/(3\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95697 plus -3181?\nAnswer: 92516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10682 to three decimal places.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**6\/5 - b**4\/6 - 9*b. Find the third derivative of w(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 11878*h - 274252 = 0. What is h?\nAnswer: -5962, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14025717*b**4 + 1277*b**2 + 61*b - 10 wrt b.\nAnswer: 336617208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4749716.\nAnswer: 2, 1187429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiffiifiiffffsiififi. What is prob of sequence fffs?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -500 or -598?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 16) to base 14\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 124*o**2 + 116*o - 604. Suppose -1 = -0*t - t - 5*f, -3*f - 9 = 0. Calculate the remainder when p(-63) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, l: 4, j: 2, m: 2}. What is prob of sequence mj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011983 rounded to 7 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541102574?\nAnswer: 2, 61, 131, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4.2, 11, -271 in increasing order.\nAnswer: -271, -4.2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/7 + 14197*k**2\/7 - 50381603*k\/7 - 50395801\/7.\nAnswer: -(k - 7099)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(250)*-1*1 + sqrt(250))\/(1*1*sqrt(180)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eufncfenefcfcfnfnff. What is prob of sequence en?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2\/3*j**2 - 12 + 10\/9*j**3 + 0*j - 7\/6*j**4. Factor y(b).\nAnswer: -2*b*(b - 1)*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/5 - 24\/5*r + 14\/5*r**2 = 0. Calculate r.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 - (6 + -5). Suppose -t - 16 = -2*i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 136 = j - 3*y + 60, -4*j - 10 = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4 + 168*p**3 + 16890*p**2 + 375984*p + 2586465 = 0.\nAnswer: -21, -17, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000067237 rounded to seven decimal places?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*o + 716*o - 1122*o - 636*o.\nAnswer: -2107*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**3\/4 - 35*t**2\/4 + 7*t - 1.\nAnswer: (t - 2)*(t - 1)*(11*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6077222.\nAnswer: 2, 211, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 8*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4 = 3*f, 3*a + f = 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2784878*t**4 + t**3 + 1237647*t**2 - 14 wrt t?\nAnswer: 66837072*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 66 = 2*d - 4*o, 3*d + o + 65 = 0. Let k = 42 + d. Let v = k - 16. Let j(a) = a - 6. Give j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258457*m - 258395*m + 516849*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 618 = -g + 123, 2*g + 990 = 4*b. Let q be (-1920)\/g - (-4)\/6. Solve 0*y**2 + q*y**5 + 0*y + 40\/11*y**4 + 8\/11*y**3 + 0 = 0 for y.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260\/(-85) + 0 + 8955\/597?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 7:14 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*p*p**(-2\/3)*p\/(p**9*p)*(p\/(p**(3\/5)*p))\/p assuming p is positive.\nAnswer: p**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10331 * -11.\nAnswer: 113641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*b - 393 + 417 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134431 + 37181 = 42*u. Calculate the smallest common multiple of 2 and u.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 53041 = -84159. Calculate the least common multiple of y and 4802.\nAnswer: 38416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jqeqeeqqqqqqqi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*l = -20, -6*g = -2*g + l - 16. Sort g, 2\/9, 1 in ascending order.\nAnswer: 2\/9, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 20562767422\nAnswer: -20562767422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -155*v**5\/12 - 5689*v**2. Let z(b) = b**2. Determine y(z(c)).\nAnswer: -775*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 15*v**2 - 17*v - 26. Let w be z(-14). Solve 9*q = 5*q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 5, -3692, -5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434196689?\nAnswer: 3, 478065563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 - n + 3. Let d(s) = s**3 + 2*s**2 + 4. Let z(m) = -3*b(m) + 2*d(m). Suppose -1 = 2*r + 5. Is 11 a factor of z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 15. Suppose 7*r - 4*r + 6 = x. Is (-273)\/r*8\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -1204. Calculate the remainder when d is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/5 - 3177\/(-1765))\/((-1)\/((-6)\/(-15)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48a (base 13) to base 7.\nAnswer: -2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 39*b - 348. Let i be m(-25). Solve -i = -5*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Let j(q) = -4 - 2*q + 2*q - 4*q - 2*q**3 - 5*q**2. Calculate the remainder when j(-3) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609502 = -19644*a + 448826 + 571050 - 273942 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 10 = 22*x, 0 = d - 4*x + 1. Let i be (-22)\/(-6) - (-14)\/d - 6. Put -21, -1, i, 0 in decreasing order.\nAnswer: 0, -1, i, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-2176)\/180 + -3). Let q = y - 66\/5. Let -80\/9*i - 470\/9*i**3 - q - 98\/9*i**5 - 290\/9*i**2 - 350\/9*i**4 = 0. What is i?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 + 2*m**2. Let z = 21 + -28. Let q(d) = 16*d**3 + 7*d**2 + 1. What is z*x(c) + 2*q(c)?\nAnswer: -3*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-35) + 24\/35)*5. Let x(k) = -15*k**2 + 10 + 21*k**2 - z*k - k - 7*k**2 - 4*k. Give x(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -17*g + 80. Let i be l(5). Put 2, i, 4, -11 in descending order.\nAnswer: 4, 2, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*o = 26, -137931*t + 3*o - 25 = -137933*t - 2*o for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3404 - 4?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206470963 rounded to 4 dps?\nAnswer: 0.2065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.3872 + -10.38. Round n to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16220 - 7568. List the prime factors of h.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.624, -1\/82, 19?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5532, 11617, 17702, 23787, 29872, 35957?\nAnswer: 42042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 537777.2 times 0.05\nAnswer: 26888.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**12*b*b**15*(b**7)**41 assuming b is positive.\nAnswer: b**292","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9487*l + 820. Let a(h) = -h. What is a(i(z))?\nAnswer: 9487*z - 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.181 - 1.249. Let x = z + 1.5. Let h = -148 - -147.9. Are x and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (630 - 485 - 727)*(-r - 4*r + 4*r + (-2 - 3 + 3)*(-2 + 2 + 2*r) - 2*r + r + 0*r + 4*r - 4*r - 3*r) + 14*r + 11*r - 19*r.\nAnswer: 5244*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 111\/21416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -2941951?\nAnswer: -30\/2941951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a**(-4))\/((a*a*(a\/(a\/(a**(-1)*a*a)))\/a)\/a)**18 assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2. Suppose -22*a + 32*a = 760. Let h(u) = -8*u**2 - a*u + 76*u. Calculate h(o(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 1 - 8459*y + 8360*y - 724*y**4 wrt y.\nAnswer: -8688*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*l + 6 + 4*l - 8*l with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 52306284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -7. Let g = c - -25. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1169523838 to the nearest 100000.\nAnswer: 1169500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(7) + sqrt(21)\/sqrt(12).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = 39. Suppose 14*z - 10*z = 4, -4 = k + 3*z. Let n = k - g. Solve 3*i = -3 - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*u + z - 49, 1904*u - 1915*u = z - 103 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - y + 1. Let o be i(1). Let j = o - -2. Solve -3*m = 2*d - j*d - 2, -2*m + 5*d + 33 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 times 133852?\nAnswer: 136529040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23256868 a multiple of 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 2*w**3\/3 + 3*w**2 - 37*w. Let g be k(0). Solve g - 21 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 0.18\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-7)\/(42\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 232720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 9*w + 3116 = 0. Let p = w + 169. Solve 3*c = -4*s - 15, c - 2*s - s = -p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 216*y**3 - 2060*y**2 - 4752*y - 2480.\nAnswer: 4*(y - 10)*(y + 1)**2*(y + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(475) - (sqrt(475) - (sqrt(475) - (5 + (sqrt(475) - 1*sqrt(475))))) - sqrt(475))**2 - sqrt(475)).\nAnswer: -10*sqrt(19) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0 - 5\/6*q**4 + 28*q - 5\/4*q**3 - 1\/8*q**5 + 0*q**2. What is d in j(d) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-10 - 4)) + -5 + 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i + 28 + i - 11. What is the remainder when 20 is divided by c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = 5*v - 6115, -v = -r + 1217. Let o = r + -789. Let n = o + -259. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + 5a44?\nAnswer: 5a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*o + 3 = 0, 2*k - 6*o + 4*o = 10. Let f = 42 + -70. Calculate the common denominator of -2 - (k - 128\/14) and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46841411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-1)))\/v*v)\/v)\/v)\/v*v*v*v*v**5*v*v\/(v**(-1\/4)\/v)*v**(2\/5)\/v assuming v is positive.\nAnswer: v**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 6, p: 2, l: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2100\/23, -8803\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75620 is divided by 18194.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 + 242. Suppose -x*k + 2816 = -1441. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19978 - -99888\/5. Which is the nearest to -29? (a) -5 (b) y (c) 1\/2 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 2*f**2 + 86*f**3 - 72*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = -44. Let z = 4 - u. Let v(f) = f**2 + 3*f + 3. Let i be v(-3). What is the greatest common factor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6370 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4 + 2*y + 2*y**2 - 6 + 2*y. Suppose 16*t = 17*t - 6. Suppose 0 = -m + 4*m - 5*a + t, 5*m - 12 = a. What is z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 18*k + 23735. Suppose 601 = 14*c - k. List the prime factors of c.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*u = 5*o - 13, -2*u - 22 = -4*o. Solve -3*x + 2 = -o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 10, 0, -6, -2, 18, 60?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 13*n**2 - 3*n + 43. Let w be j(13). Let b(c) = -8*c**2 - 6*c**2 + w*c**2. Let q(f) = -7*f. What is q(b(l))?\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let n(c) = 306*c + 12. Let l(x) = -219*x - 9. Let y(s) = 7*l(s) + 5*n(s). Calculate m(y(p)).\nAnswer: 18*p**2 + 36*p + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 17, 633 in descending order.\nAnswer: 633, 17, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-1 + 0) - (-46 - -24 - -55 - 90).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 - 3382*g - 17381*g.\nAnswer: -20763*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 133 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 2. Suppose -121 + 13 = -2*u. Suppose -t + 4*g + 8 = 0, -3*t - 5*g + 7*g = -u. Let r be 5\/(-50) - (-102)\/t. Determine s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185805 = -101*x - 21579. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11462921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = -120. Let v be x*(1 + 6\/(-3)). Calculate the greatest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19593162 or -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vsjjjvvvjjjjvvjvsjs.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/32*4\/(-24)*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 + -3.1. Sort 2\/9, o, 35.\nAnswer: 2\/9, o, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + 0.2. Let y = 389.8 + -341. Let o = 49 - y. Does v = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 220392 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -43. Let o = -0.26 - 0.04. Let n = 0.7 + o. What is the smallest value in 1\/2, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716707, 716711, 716705, 716683, 716639, 716567?\nAnswer: 716461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14578, -19484, -27660, -39106, -53822, -71808?\n\"Answer: -1635*t**2 - t - 12942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/76 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (0 - (-6 + (-1 - (10 + -6))))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -z + 15, -5*s - 45 = -4*z - 2. Suppose 4*x + 29 = -d, x + d = -z + 4. Let v(y) = -y**3 - 7*y**2 - 7*y - 9. Is 20 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8 - 2, -2*f + 3*j + 21 = 0. What are the prime factors of 2974\/30 + (-17)\/f + 1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 2*v**2 - v + (-5*v + 4*v + 2*v)*(-3 + 2*v + 3) + 2*v**2 - 58 + 22 + 0*v**2.\nAnswer: 2*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.44*-6.294.\nAnswer: -46.82736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 23798?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 37. Suppose 25*w - 29*w = 200. Let x be 85\/w + ((-9)\/2)\/(-3). What is the second biggest value in x, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kchjhk. What is prob of picking 2 h and 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326*q + 13 - 13.\nAnswer: 1326*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 - n. Let m be d(-5). Suppose u = -4*q + 274, 2*u = m*q - 0*u - 349. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65293768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - (-4 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -345036, -1\/7 in ascending order.\nAnswer: -345036, -1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - (-4 + -4 + 7)) + -871 + 826.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 540, -251, 3\/941 in descending order.\nAnswer: 540, 3\/941, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -5\/3 (c) 13014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3390 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:43 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1868125, 1868114, 1868095, 1868068, 1868033?\nAnswer: 1867990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203312210 - -1332?\nAnswer: -10203310212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/35))**34*((w**(2\/5)\/w)\/w)\/(w*w**28) assuming w is positive.\nAnswer: w**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from ryxxnassr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 860743, 1721473, 2582195, 3442909, 4303615?\n\"Answer: -4*c**2 + 860742*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*z - 124, -4*m + 3*z + 259 = 6*z. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k + 45. Let j be (-14)\/(-3) + 3\/k. Suppose 0 = 2*b + 2*v - 16, b + j*v = -3*b + 28. Solve 0*l - 4*l - b = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -17, -5930, 1 in ascending order.\nAnswer: -5930, -17, -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1952480\/11 - 177361. Let s = 137 - o. Let z be ((-7 + 6)*-1)\/1. What is the third biggest value in s, z, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -8.30978.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*a + 750*a - 5*b = 6, 0 = -5*a + 5*b - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95920188.\nAnswer: 2, 3, 7, 13, 17, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2 + 4)*(-2*k**2 + 3*k**2 + k**2) + 0*k**2 + 2*k**2 + 0*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from ghhhghgghhhgg?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1631, 1670, 1705, 1736, 1763, 1786?\n\"Answer: -2*o**2 + 45*o + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/42 and -40\/454657.\nAnswer: 2727942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 5*l + 36. Let s be z(-16). Differentiate -225*g + 273 - 547 + s wrt g.\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 87*b\/4 + 4205\/2.\nAnswer: -(b - 145)*(b + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**3 - 8*d**2 - 91*d + 11. Is m(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3077 - -33878\/11. What is the common denominator of -29\/3 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -17. Let k = z - 65. Let y = k - -68. Is -3\/7 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*d**3*r*t + 229*d**2*r*t + d**2*r wrt d?\nAnswer: -3966*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1006)\/(-3521))\/(4\/182)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5448317 micrograms to grams.\nAnswer: 0.0000005448317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 14*a + 16*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586561282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9853.27 and -9088390?\nAnswer: 9098243.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 3*t**3 + 7*t**2)*(2*t - 1 - 5*t + 2*t)*(-2*t + 2*t + 3*t).\nAnswer: -9*t**5 - 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2275*s + 31437 = -26833 - 880 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 + 2*b - 24. Calculate the remainder when c(-10) is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8177683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 15, 39*v + 117 = 34*v - f. Is -119\/5 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*j + 68*j - 186 + 35 - 16*j + 5*j wrt j?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 39, 47, 57, 69?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 102*j**2 + 2*j - 73. Let h be s(34). Sort -2, h, -15.\nAnswer: -15, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555*k**3 + 7*k + 71 wrt k.\nAnswer: 3330*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 + 24*y + 89. Let t(r) = -9*r**2 + 25*r + 89. Let i(a) = 5*c(a) - 4*t(a). Let v be i(-14). Solve 5*j = 5*f + 25, -5*j + v*f = -2*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484188 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: Solve -69*b + 73*b = 2*i - 48, 68 = -4*b - 3*i for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34650 = 166*i + 971*i - 5088 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135801374 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Suppose -4*y + z = -c*z - 31, 4*y - 81 = -5*z. Suppose 16 - y = q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 218176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**5\/20 + 7*f**4\/12 + 11*f**3\/6 + f**2 - 494*f. Calculate p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 12. Let t be c(11). Let s = t + -3. Suppose -2*m + s = m. Calculate the highest common divisor of 54 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 28*v - 27. Calculate o(12).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 406539*n - 406474*n)*(0*n**2 + 3*n**4 + 0*n**2) - 2*n**5 - 3*n**2 + 3*n**2.\nAnswer: 193*n**5 + 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sussusuuuuuuuususuu. Give prob of sequence sus.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5959, -5956, -5959, -5974, -6007, -6064, -6151?\nAnswer: -6274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*k**3*q**2 - 1851*k**3*q + 131*q**4 + 1525*q wrt q?\nAnswer: 684*k**3 + 1572*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = q + 7, -12 = 3*i - 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10909722 and 26686?\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -22 - (40 - 83)) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 343 = 23*b. What is the smallest common multiple of 12 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -339*n + 36304*n - 7433*n in the form g + t*n and give t.\nAnswer: 28532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 73. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4597*k**5 - 1283*k wrt k?\nAnswer: -91940*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1238, -2750, -4548, -6638, -9026, -11718, -14720, -18038?\n\"Answer: -r**3 - 137*r**2 - 1094*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802767 is divided by 200688.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12560 and 64503450.\nAnswer: 516027600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t - 2*y, 3*t - 3*y - 6 = 9. Suppose -t*w + 68 = -6. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27980*t**2 + 9307*t**2 - 2 + 9353*t**2 + 2 + 9321*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 293*t**4\/4 + 53*t - 248. What is the derivative of i(w) wrt w?\nAnswer: 879*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2323101?\nAnswer: -2323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/7013568 and 59\/20?\nAnswer: 35067840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -9, 0.01, -550?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.226035 - -16711\nAnswer: 16710.773965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54214685?\nAnswer: 5, 7, 1548991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 135 (c) 5 (d) 3 (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/180 - a**5\/20 - a**4\/6 + a**3\/6 + 4*a**2. Let o(t) be the first derivative of i(t). Factor o(s).\nAnswer: -2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 14*h + 12. Suppose 0 = 3*p - 5*x - 29, -5*p + 7 + 66 = 4*x. Let y be u(p). Let n = 2 + -1. Is n greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d**2 + 2*d - 3. Suppose 0 = z - 14 + 11. Suppose q - 2*q = 5*p + 26, -3*q + 30 = -z*p. Give u(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:59 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17503 and 3142169.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618040 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -74. Sort -5, i, -2, 3 in ascending order.\nAnswer: -5, i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414\/17 - 4520\/187. What is the fourth biggest value in -0.3, 3\/83, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4577166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39071763?\nAnswer: 3, 17, 255371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*p - 4 = 2*k, 4*k = -5*p - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:47 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from nrnwiwyi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.3, 108\/199 in decreasing order.\nAnswer: 108\/199, 0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 2\/9575, 2\/9, 31?\nAnswer: 2\/9575","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 239*f - 239*f - 4*f**2. Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2804)\/(-6) + (-32)\/(-48). Suppose 469*z - 222 = y*z. List the prime factors of z.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/49621 and -137\/224224?\nAnswer: 77805728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 minus -72748.0077?\nAnswer: 72748.1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from iiiitiiiiiitiit.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 - 147. Factor -2*b**3 - 5*b**3 + 58*b**2 - 77*b**p + 3*b + 3*b.\nAnswer: -b*(b + 3)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178221?\nAnswer: 11, 23, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -61.001. Let o = 0.471 + c. Let p = -0.46998 + o. Round p to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26747, 106676, 239813, 426164, 665735, 958532?\nAnswer: 1304561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 2*j - 5*j + 0 - 4. Give x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -254*a**7\/21 - 281*a**4\/2 - 228*a - 1. Find the third derivative of b(q) wrt q.\nAnswer: -30480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.14 + 10. Let w = -5.14 - l. Which is the second smallest value? (a) 0 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1420a26 - c?\nAnswer: 1420a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14949616823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54816583 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**3 - 1. Suppose -2*t = -3*h + 4, 3*t - 8*t + 13 = 4*h. What is the units digit of o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0867225 milligrams?\nAnswer: 0.0000000867225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 20*o**2 - 10*o - 43. What is the hundreds digit of x(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+186.517\nAnswer: 186.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*1\/(-3) - -2. Suppose 0 = -b + 2*b + s. Sort b, 4, 0.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168711619, -0.1, 4 in descending order.\nAnswer: 168711619, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*q + 50 = 0, 8*q - 55068 = v - 54989 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/20*-2)\/(12\/10). Which is smaller: -0.04 or o?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 42746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*o - 11096 = 817 + 3352 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 6, -3, -18, -39, -66?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 13, s: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020554725 to the nearest integer?\nAnswer: 31946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -624 - -749. Calculate the highest common divisor of 10 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -184*b + 144. Is 75 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1470 - 3064 + 1163)*(-3*b**3 - 3*b**2 + 3*b**2).\nAnswer: 10113*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 - 6) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209)*6*-2)\/(sqrt(704)\/sqrt(4)*3))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -886*s**2*w**3 + 145*s**2*w**2 - s*w**3 - 312*s*w**2 - 5*s - w**3 wrt s.\nAnswer: -1772*w**3 + 290*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*i + 54, 7*z - 15 = 2*z. Suppose 0 = -7*q - 68 - 86. Let j = i - q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/390 and -83\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, -1367, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*o - 70 + 23*o - 2*o + 31*o wrt o.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeg when three letters picked without replacement from geoodegddwwxggdoedd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apiibuk. What is prob of picking 1 a, 1 u, 1 i, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 433714 and 87915.\nAnswer: 6505710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(8\/(-48)). What is the second derivative of 28*u**2 - 6*u**5 + 6*u - 12*u**d - 16*u**2 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from muunupe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 377253 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 - 7*r**2 + 12*r - 8. Let u be h(13). Sort u, 5, -3, 0 in decreasing order.\nAnswer: 5, 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -257. What is the common denominator of (g\/140)\/(((-12)\/375)\/(-2)) and -11\/860?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 237. Suppose -13 = -2*h + d. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1243 and -32929.\nAnswer: 40930747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451870532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 52 + 46 + v + 39*v.\nAnswer: 33*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*q, -22*z + 20*z + 488 = 2*q. Is z a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 387.6087 litres?\nAnswer: 387608.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-42 + 2 + 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6041, -24659, -55667, -99047, -154781, -222851, -303239?\nAnswer: -395927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -6. Suppose -n - 31 = -4*x - 4*n, -3*n + 7 = -g*x. Suppose r + 15 = u, -5*u - x*r = -67 - 53. Solve -3*v - u = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 - -6) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2 - 3 + 2)*((-2 + 2 + 2*s**2)*(7*s - s**3 - 7*s) + (-3*s + 3*s + 2*s**2)*(17*s**3 - 30*s**3 + 12*s**3) + 0*s**4 - 2*s**5 + 0*s**4).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7*g = 72. Suppose 3*b + 13 = -0*q - q, 5*b + 31 = 3*q. Suppose 0 = 5*s - 2*f - 23, 2 = 4*f - q*f. What is the remainder when g is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 9*c**2 + 0*c**2)*(-2*c**2 + 5*c**2 - 4*c**2 - 2*c**2 + c**2 - c**2 + (0 - 1 - 1)*(3*c**2 - 3*c**2 - c**2) - 3*c**2 + 5*c**2 - 3*c**2).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 1063748?\nAnswer: 77653604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 259065508531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f + 2. Let i(o) = o - 4. Let n be i(4). Suppose -c - 4*c = n. What is u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 128 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14. Suppose 5*g - 9*g = l. Sort 4, g, -2 in increasing order.\nAnswer: -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 41 = -4*t + 3*d, 5*t - 47 = -3*d. Let l(g) = g**3 + 6*g**2 + 4*g + 3. Calculate the lowest common multiple of l(-2) and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2856*j**3 + j**2 - 633 wrt j?\nAnswer: 17136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/3141 - -150758\/15705. Factor o + 147\/5*y**4 - 384\/5*y + 936\/5*y**2 - 672\/5*y**3.\nAnswer: 3*(y - 2)**2*(7*y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9438 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 10:10 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)\/p)**(2\/7)*p\/((p\/p**(-4\/3)*p*p)\/p*p)*p*p*p**(-21) assuming p is positive.\nAnswer: p**(-478\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 3*u**2 + 3*u + 2*u**3 + 30 - 4*u**3 - 33. Let a be p(-3). Put 3, -2, a, 2 in ascending order.\nAnswer: a, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2542*2.8\nAnswer: 7117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/77*6\/(-45)*-5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(40)\/sqrt(4))\/(-1*(sqrt(128)*2 - sqrt(128))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q - 1. Let n(u) = -2*u + 3*u - u**2 - 2 + 1. Let b(y) = -2*n(y) + p(y). Factor b(x).\nAnswer: (x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 4*w - 5. Let r be z(5). Let b(p) = p**2 + p - 7. What is the tens digit of b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2415 is divided by 801?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q - 157 + 86 + 117*q**2 + 364*q**2 - 2*q**3 - q**4 + 73 in the form i*q**4 + z*q + a*q**3 + j*q**2 + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*r - 65, 4124*v - 4139*v + 3*r + 135 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/8*(-40)\/(-30). Let m(r) be the first derivative of 1\/15*r**3 + 9\/5*r + 3\/5*r**2 + t. Factor m(x).\nAnswer: (x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.7. Suppose 0 = t + 1, -4*y + 5*t = t - 12. Let r = 1310 + -1309.9. Which is the biggest value? (a) z (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-5)*((-1490)\/(-70) - 21). Which is the second smallest value? (a) -77\/4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/((-4)\/776). Suppose -k + 0*k - 6 = 0. Let g = k - q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 24. Let a(n) = n**2 - 2*n - 8. Let p be a(x). Suppose p = 5*b - 3*b. Let z(g) = -g**2 + 1. What is z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 27 (d) -0.3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.7000538 and 3.4397.\nAnswer: 19.1397538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*w + 107, 0 = 4*w - 6*g + g + 102. Let i = w + 27. Let p(t) = t + 2. Determine p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82.794 + 0.206. Let r = p - 85. What is the closest to r in -0.4, 1, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 65 = -6*g. Let q = g - 8. Let h be -2 - (-3 + -2 + 1). Solve -3*x + 4*x + q = h*l, 11 = 3*l + 2*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 567035813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(5*5*(sqrt(1700)*-1 - sqrt(1700)) - (-2*sqrt(1700) + 3 + sqrt(1700) + 0 + -5 + sqrt(1700))))**2*6.\nAnswer: -3187503000 + 1500000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/5, -4, -18\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327984 divided by 8?\nAnswer: -165998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5533*t + 7286 with respect to t.\nAnswer: 5533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 3*r + 41. Let i be t(-12). Are i and -67 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93342801311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*v**2 - 6*v**2 - 27*v**2.\nAnswer: -21*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -90*x**3 - 3*x**2 + 3*x - 1. Let h be y(-3). Let t = -1145 + h. Is 5 a factor of t\/80 + (-3)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 z when three letters picked without replacement from {h: 1, s: 2, c: 2, z: 6, x: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-14))\/(76\/532)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -8, 136, -0.06.\nAnswer: -8, -0.4, -0.06, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woyyfooyyowyowypwwo. What is prob of sequence ow?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/23)\/w)**(1\/21)\/(w**(1\/2)\/w)**(-6\/19))**(1\/70) assuming w is positive.\nAnswer: w**(-1411\/642390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21779?\nAnswer: 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -21\/796682?\nAnswer: -21\/796682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14617? (a) -2 (b) 3\/2 (c) 0.2 (d) 3\/8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372925 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. Suppose -z + 25 = -0*q + 5*q, c*z - 31 = -4*q. What is the nearest to 0.01 in q, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -6 in decreasing order.\nAnswer: 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 731141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30331, -60651, -90963, -121267?\nAnswer: -151563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 0.4, 6, 29.35?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let d(g) = 6 - 14 + g + 7 + 0. Give d(y) + 3*z(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ail when three letters picked without replacement from {l: 1, t: 1, i: 1, u: 4, b: 1, a: 5}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/332 and -47\/239538.\nAnswer: 479076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {m: 5, y: 6, k: 2, t: 3, p: 1, g: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1109*y - 8878. Determine j(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393596403 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/150 and -9\/80?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8995785 to the power of 1\/2, to the nearest integer?\nAnswer: 2999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 + -232. Is 145\/4 + (4 - (-78)\/s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56015653387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 at most -22.5085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*d - 95, 2*j = -3*j + 4*d + 68. Suppose -45*c = -49*c + j. Solve -r + 1 = -4*t - 3, c*r - t - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:58 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 128283240?\nAnswer: 128283240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let y(b) = -b - 2. Suppose -p - 2 = -3*i, 2*i + 135*p = 138*p + 20. Give i*y(a) - 3*m(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -228024774, -228024771, -228024768, -228024765, -228024762?\n\"Answer: 3*r - 228024777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + q)*(-9*q + 10*q - 3*q) + 6*q**2 - 2*q**2 - 2*q**2 - 16*q - 14*q**2 + 16*q.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -32. Suppose 0 = 5*z + 2*k + 73 - 120, 5*z - 3*k - 67 = 0. Solve -3*b - 3 + l = 4*y, 0 = -2*y + 5*b + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.05, -2\/9, 1\/96, 5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/3 - 828260*v**2\/3 + 2*v\/3 + 828260\/3 = 0.\nAnswer: -414130, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -54. Suppose 3*r - 5*m = 13, r + 3*r - m = 23. What is the greatest common factor of d and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/17 + 28609876*k\/17 - 85829610\/17 = 0?\nAnswer: 3, 14304935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013629 less than -5272832?\nAnswer: -5272831.986371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:52 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 11 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-75))\/((-2)\/4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1543 - 0?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18650 and 7970264.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 16*f**2 + 38*f - 9. What is the hundreds digit of m(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-85)\/(-25) + 12\/(-4). Let a = -3.9 - 0.1. What is the nearest to f in 2\/15, -5, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-252)\/15)\/(-14))\/(126\/(-280))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.9 - -2.1. Let m = -85 + o. What is the second biggest value in 5, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 14. Let h be g(2). Let z = 18 + h. Let f(r) = 2*r**2 + r + 5. Let j be f(z). Solve -5*o - 2*x = 23, -4*o + 3*o + j*x = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -3*j**2 - 1\/12*j**4 + 0*j**5 + 0*j**6 - 1\/70*j**7 + 0*j**3 + 0 + 0*j. What is the second derivative of w(c) wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38697420 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1284.8 - 1285. Which is the third biggest value? (a) 0.4 (b) q (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.68608t in kilograms?\nAnswer: 88686.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let s be (-1)\/3 - ((-20)\/6 + -6). Let z(h) = -7*h**3 - 2*h**2 + 9*h + 4. Let q(r) = 3*r**3 + r**2 - 4*r - 2. Give o*z(b) + s*q(b).\nAnswer: -b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + 7. Let j = -8 - -10. Suppose 0 = -j*p - p. Suppose -5*x - 3*t = 3, p*x + t = x - 1. What is s(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4210280 and 25728?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*z + 5*g + 109, -228 = -4*z - 3*g. Let l(w) = -3*w + 6. Let d = 19 + -22. Calculate the remainder when z is divided by l(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 + (7 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3279*n + 146540 - 146540 to w*n + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/306940 and -1\/613880?\nAnswer: 613880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373800 divided by -210.\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 2*t)*(2 + 1 - 1) - t + 0*t + 2*t - 4*t + 3*t + 2*t + (0 + 2 + 0)*((-3*t + 3*t - 3*t)*(-1 - 2 + 1) + 0 - 2*t + 0)*(24 + 26 + 64).\nAnswer: 910*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from ggpmuuo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.083716931 to 4 dps.\nAnswer: -10.0837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(-13) assuming l is positive.\nAnswer: l**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/6 + 151*a**2\/6 - 3785*a\/6 + 1211\/2 = 0.\nAnswer: -173, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256509 divided by -85503.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*d - 12 + 10 - 44*d)*(0 + 3 - 1)*(-1 + 1 + d**3).\nAnswer: -152*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 3*a - 11. What is i(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 22. Let x be c(-7). Suppose 9*n - x*n + 312 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676116700.\nAnswer: 2, 5, 7, 137983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + m - 2. Let z be b(1). Put 33, z, 0 in ascending order.\nAnswer: z, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 667 by -23.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21325450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60778009?\nAnswer: 17, 127, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 362*p**7\/7 + 737*p**3\/3 + p - 1443. What is the third derivative of z(h) wrt h?\nAnswer: 43440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -8. Let y be (-4 - -7)*(3 - -39). Calculate the greatest common factor of a and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3 - 1. Let b(p) = 8*p - 624. Let g(q) = 12. Let v(f) = 4*b(f) + 208*g(f). Calculate v(i(u)).\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106.2 - 106.6. What is the third smallest value in -7, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.23714 to 1 dp.\nAnswer: -628.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 - t**4 + 3*t**4)*(4*t - t - 34*t) - 2*t + 2*t**5 + 2*t.\nAnswer: 33*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - p**2 + 7 + 4*p**2 - 7.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6346, 6071, 5786, 5485, 5162, 4811, 4426, 4001?\n\"Answer: -s**3 + s**2 - 271*s + 6617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + 3*m**2 + 3*m + 11. Let l(y) = -y**3 + y**2 + y + 1. Let b(f) = -4*l(f) + t(f). Suppose 0 = n - 2*n. List the prime factors of b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 2. Let v be x(1). Suppose -a - v + 29 = 0. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -2*i - 4, -4*x - 5*i + 56 = 0. Let g = 15 - x. Suppose 48 = g*n - 2*n. Calculate the greatest common divisor of n and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -50. Suppose 5*l - 7 = i. Suppose -2*t - 4 + 14 = 4. Solve -2*c - 5*j = -4*j + 4, 4*c + t*j + l = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6590 is divided by 1074?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(405) + 1)*-4)**2.\nAnswer: 720*sqrt(5) + 6580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = 42*a - 105 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36420 divided by -6\nAnswer: 6070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 4*c - 8. Let r be z(-4). Let a(p) = 21*p**2 + 12*p. Let b be a(r). Suppose -2*u = -14*u + b. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 24 = -4*w + c, -38 = -2*w + 4*c. Let z = w + -25. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 - 269.99. What is the third biggest value in 27, 2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101008421 + -24780.\nAnswer: -101033201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 10*v**2 + v - 6. Let s be g(10). Solve -s*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 23*o**2 - 321*o - 3657. Determine h(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9131, -18265, -27399, -36533, -45667?\n\"Answer: -9134*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 727*w**2\/3 - 20997*w - 60819.\nAnswer: -(w + 3)*(w + 97)*(w + 627)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 341 + -338. Suppose 3 = w - m, -13 = w - f*m - 8. What is the remainder when 46 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbjcjcbccb. Give prob of sequence bcb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/4307 and 25\/354.\nAnswer: 25842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 5 = 11*u. Solve -u = -3*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + -153. Let r be (9*39)\/(-10 - -12). Let i = r + j. What is the nearest to 1 in -0.1, -1\/3, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 9*i + 383 = 0. Let n = i + -10. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4006503035 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2346 divided by -34\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**3 - 48*x**2 - 5*x - 24. Calculate o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-2 - (-1)\/1). Let n = 5 - f. What is the lowest common multiple of n and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -w + 2*i, w - 5*i + 13 = 0. Suppose w*j = -0*j + 606. Suppose -5*o - j = -2*t, -t - 2*o + 119 = 2*o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and 53\/145.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.44. Let a be (-4)\/18 + (-76)\/(-18). Suppose 4*c = -2*d, 4*d - 2*d - a*c + 8 = 0. What is the second biggest value in 4\/3, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/67650*(-105)\/14.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {u: 1, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let q(b) = -255 - 2*b**2 + 258 + 7*b + b**2 + 4*b. What is 22*o(t) + 2*q(t)?\nAnswer: -2*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = v - 43. Let s be 3\/(-9) - 366\/v. Sort -0.4, s, -1\/2.\nAnswer: s, -1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 98 = 12*u, -4*k + 26 = -3*k + 3*u. Solve k = -i - y, 2*i - 5*y + 13 = -4*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**2*x**3 - 17*u**2*x**2 + 12*u**2*x + 6*u**2 + 2*u*x**3 - 24*u*x + 286059*x**2 wrt u?\nAnswer: -14*x**3 - 34*x**2 + 24*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Let n(o) = o**2 - 3*o - 11. Let y be n(p). Let k be (2\/10)\/(26\/(-5)). Which is smaller: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1307, 1866, 2791, 4082, 5739, 7762?\n\"Answer: 183*q**2 + 10*q + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w**(1\/18)\/w)*w\/w**12*w*w**(-1\/6) assuming w is positive.\nAnswer: w**(-119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o - 16. Let s(r) be the first derivative of -4*r**2 - 3*r - 15. Give -3*d(l) + 16*s(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264004599 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -127, -234, -381, -580, -843, -1182?\n\"Answer: -2*g**3 - 2*g**2 - 59*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**3 - 120*i**2 + 104*i + 2468. What is m(-24)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8403 divided by 124\nAnswer: 8403\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z - 13. What is the units digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -137 + (56 - 75).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 9221?\nAnswer: 4610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 10*l - 15. Let k be w(6). Let u(r) = -r**2 + 12*r - 22. Let n be u(k). Solve -h = 3*b - n, -4*h + 5*b = -0 - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 3*b**4 + 2*b**3 + 4*b - 4*b.\nAnswer: 3*b**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -72. Put m, 5, 20, 1 in decreasing order.\nAnswer: 20, 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 2*f**2 + 2*f + 1. Let v be u(-1). Let l be (-76)\/v - (-3)\/(-15). Suppose o = 2*o - l. What is the greatest common factor of 105 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.07. Let r = z - -0.22. Let n = -2\/7 - 3\/14. Which is the second biggest value? (a) 4 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250171416 divided by 10692.\nAnswer: -23398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 2 - 4*p + 0*p**3 + 3*p - 18*p**3 in the form u*p + d*p**3 + m*p**2 + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-830)\/(-25))\/2)\/((-1)\/(((-650)\/10)\/13)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 43*d - 84 = 0. Let s(v) = -9*v + 100. Calculate the remainder when 66 is divided by s(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 35. Let b be x(22). Do -9 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 60.8866.\nAnswer: 63.8866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.17, -1, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217931?\nAnswer: 7, 163, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5379011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzq when three letters picked without replacement from {d: 2, j: 1, q: 2, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 7*s + s**3 + 3\/2*s**2 + 2. Let x = -1168 - -1163. Let t(g) = 8*g**2 + 8*g + 20. What is x*t(m) + 14*l(m)?\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*u**3 + 326 - 326 + u**2 + u - 10*u**3 to h*u + c*u**2 + l*u**3 + n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (39\/6)\/(55\/20 + -3). Suppose d = -r + 63, 2*r = 4*d - 0*d - 228. Let g = d + h. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 3. Solve 2*s = -a + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25749*q + 29574*q + 69935*q + 20793*q.\nAnswer: 94553*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 2*k - 8. Let r be b(8). Suppose -i + 0*i = r. Let p = 8 + i. Are -1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -416, -833, -1250?\n\"Answer: -417*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7531175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453 - -453.2. Is -25\/24 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75634 * -0.5\nAnswer: 37817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Suppose 9 = -v*n, -2*n + 29 + 31 = 3*t. Calculate the greatest common divisor of t and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10920 (base 14) in base 8?\nAnswer: -116420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:31 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/14 + 0)\/((-3)\/357). Calculate the highest common factor of h and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*g - 19315, -a - 24976 + 833 = -5*g. Suppose -3*j - 6 = 0, -j + 517 = w + g. Let r = 6269 + w. Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10. Let m = h - 0.64. Let n = m - 0.06. Which is greater: -1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5*(-65403 + -1). Suppose -3*h + l = -0*h + 5*n, 0 = -3*n + 12. What is h rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20050 + 40099\/2. Put 4\/3, w, -18\/5, 0, 1\/4 in ascending order.\nAnswer: -18\/5, w, 0, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 1\/4, 1\/2414?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 19043 - 19043. What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 + 50*d + 9. What is t(11)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -32*k**3 - 325 + 319 - 7*k**2 + 27*k - 33*k. Suppose -5*f = -2 + 22. Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12011012112122 (base 3) to base 11.\nAnswer: 1601649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (3 - (-1 - -18)) + (-24 - -15 - -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17283, 17304, 17333, 17364, 17391, 17408?\n\"Answer: -s**3 + 10*s**2 - 2*s + 17276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -b. Suppose 4*i + 0*i + 5*d = b, -3*d - 6 = 0. Suppose i*m = 3*z + 3*m - 245, 2*z - 4*m = 180. Calculate the highest common factor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25363011815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/28 - 48\/(-112)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 498368, 996743, 1495126, 1993517, 2491916, 2990323?\nAnswer: 3488738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*((4 - 1 - 1)*(0*g + 0*g + 2*g - g + g + 2*g + (-3*g + 2*g + 2*g)*(1 - 1 + 2)) - 241 + 241 + 13*g).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, -2\/9, -0.9, 1, -4, -2 in decreasing order.\nAnswer: 1, -2\/9, -0.9, -2, -4, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 12822.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -25, -1, -513, 5, -5, 7.\nAnswer: -513, -25, -5, -1, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -21. Let q = 18 - 28. Is k\/(-25) + (-6486)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*n + 16, 2*n - 4*o - 18 + 0 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*g, 2*x - 3*x = 5*g. Suppose -2*d + 10 - 8 = x. Let u(y) = y**3 + 4*y**2 + 8*y + d + 8*y - 15*y. Give u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*y + 6, -5*y + 3*y = -2*g + 14. Suppose g*f + 1 = -j + 2*f, 5*j + 3*f = -1. Put j, -2, -3 in increasing order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 3. Solve -3*z - 2*z - 20 = -d*k, 0 = -z + 3*k - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9790.037*-0.2.\nAnswer: -1958.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (742\/(-126) - -6)\/((-1)\/(-6))*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 - 81*s**3 - 1318*s**3.\nAnswer: -1361*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383102 is divided by 191341?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -21*k**3 - 6*k**2 - 7*k - 66. Let y(d) = 39*d**3 + 11*d**2 + 13*d + 130. Determine -11*w(m) - 6*y(m).\nAnswer: -3*m**3 - m - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348112124 <= 348112125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4497328575 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 26 = -3*a, 3*a + 5*h + 0*h = 29. Solve -3*p - 3 + 0 = -d, -4*d - a = -2*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2554.19 - -2554.19900023. Let b = h + -0.009. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 470 (b) 22\/15 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290\/280 + (-4)\/14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from {r: 1, c: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10009 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 872 = -906. Suppose -7*k = -q*k + 11190. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10\/9*-3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3626 and 5439.\nAnswer: 10878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 4*v + 5. Suppose 2*f - 2*p - 6 = 0, -4*f + f - 3*p = -15. Determine h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 8)*(-2)\/6. Let q be -2*2*r\/2. Solve 8*f**q - 4*f**4 + 8*f + 2*f**5 - 3*f**3 - f**3 - 2*f**3 = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 71. Let w = t + -5. Let p(r) = -r**3 - 4*r**2 + 3*r - 1. Calculate the remainder when w is divided by p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 2 h when four letters picked without replacement from {k: 1, p: 1, h: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 112 + 322. Calculate the highest common factor of 42 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -1 + -25 - (9 + 2) - 38\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10760)\/(-269)*3\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 3*d**2 + 2*d - 1. Let j be v(2). Let h = j + -7. Suppose 4*w - 3*w - 20 = h. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -4*t - 173. Solve -2*d + 4*r + 0 - 4 = 0, 0 = 4*d + t*r - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564\/77 or -7?\nAnswer: -564\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:01 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-70)\/(-25))\/((-3)\/(-15)). Sort 2, s, 1.\nAnswer: 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 50 + (35 - 23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 544 - 325. Let t be 3 - (-2 + a\/45). Let s = 5 - 10. Put s, -1\/6, t in decreasing order.\nAnswer: t, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15662512 (base 8) to base 15.\nAnswer: -4baa25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7057563 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/7, -382, 895 in descending order.\nAnswer: 895, 3, 2\/7, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68) + sqrt(17) - -2*(2 + sqrt(17)))**2 + ((sqrt(1377))**2 + -2 - ((-2 + sqrt(17))**2 + 2)).\nAnswer: 14*sqrt(17) + 1778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12071800 divided by -1300\nAnswer: 9286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 83278815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -10, 7*d - 3*d = f - 4171. Let n be 1 + (d\/(-357))\/(-4). Let c = n + 10\/17. Put -1, c, -5 in ascending order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/4)\/(3120\/(-480)))\/((-2)\/76)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5010042?\nAnswer: -5010034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 8*y + 15*y**2 - 17*y**2 + 114 as c*y + s + r*y**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369523 and 18711?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -31.3.\nAnswer: -45.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (1 + -3*(sqrt(171)*6 + sqrt(171))\/sqrt(9))*3.\nAnswer: -63*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*t - 8, 3*t - 3 = -2*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1501, -1308, -1115, -922, -729, -536?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -64, -83405 in increasing order.\nAnswer: -83405, -64, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 52129?\nAnswer: 52125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - j**2 + 2*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.363 - -18.353. Let f = -12.1 + t. What is f rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 50*f + 9. Determine t(20).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 + 530 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189.119 + 164.11661. Let m = 25 + o. What is m rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -9, 0.2, -3\/11, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**2 + 2*a - 1. Let z be h(1). Let w be ((-80)\/z)\/(3\/(-9)). Let r = -22 - w. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108*-25848.81\nAnswer: 2791671.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 6*z + 28, -56*z + 49*z = 4*b - 59 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 716*u**5 - 33*u + 6 wrt u.\nAnswer: 14320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235773631\/3398 - -69386. Find the common denominator of p and -53\/14.\nAnswer: 23786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((123\/(-205))\/((-9)\/(-2)))\/((-5)\/135).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352037, 704070, 1056103, 1408136?\nAnswer: 1760169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 4985\nAnswer: 168\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*((8\/(-10) - 4257\/(-215)) + -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -9\/359, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 + 5*n + 6. What is the remainder when 254 is divided by m(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -1, 0.08, -1\/4, -3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/23*h**2 - 2\/23*h**4 + 0 - 8\/23*h**3 - 4\/23*h.\nAnswer: -2*h*(h + 1)**2*(h + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0\/u)\/u)\/u)**(-45)\/(u**(-2))**(-38) assuming u is positive.\nAnswer: u**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-6)\/(-104))*(15 + -639). Suppose -c - 3*b + v = -0*b, 4*b + 54175 = 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -2453, -2\/35, -1\/8 in descending order.\nAnswer: -2\/35, -1\/8, -1.9, -2453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 13*m**2 - 14*m. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3*x - 3*x + x) + (2 - 3 + 2)*(4*x + x - 3*x) - 4*x - 4*x + 5*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 + 5*l - 5. Let j(t) = 4*t + 15. Suppose -2*g = -4*g - 10. Let m be j(g). Let b(i) = 5*i**2 + 6*i - 6. Give m*b(w) + 6*n(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 241965 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -10 - (23 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 3\/7 (c) 0.3 (d) -6 (e) 2525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from heaccdld.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -7*u**3\/3 + 3*u**2\/2 + 3*u + 2331. Calculate v(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 - 111. What are the prime factors of ((w\/12)\/(-11))\/(4\/(-3576))?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 71. Let b be f\/(-6)*171\/(-6). Which is smaller: b or 21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55180.48 centimeters in kilometers?\nAnswer: 0.5518048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17*g**7*(g**(-4)\/g)**18 assuming g is positive.\nAnswer: g**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -5331?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (14 - 37) + 14 + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-770803.2.\nAnswer: -23124.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-18)\/10)*(-40)\/(-12). Suppose s = -5*r + 15, -2*r + 3*s = -s - 6. Which is the nearest to f? (a) 1 (b) r (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-2)\/((936\/(-48))\/(-39))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -13 + 43 - 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16937*v + 1235297 + 441466 = 0 for v.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 2*n - 3*n**2 + 93 - 62 + 2*n**2 - n to l + t*n**2 + v*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g**2 - 18 - 1\/16*g**4 - 1\/4*g**3 + g. Factor m(l).\nAnswer: -(l - 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/11, 99, -80, -25, 0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 17*i - 16. Let o be b(-8). Let x = 105 - o. Let d(w) = w**2 - 4*w - 8. Let y be d(6). Solve 0 = -y*c + x + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1527534608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33*9\/30*1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 1342980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, -4, 9, -0.2, -2, 33 in ascending order.\nAnswer: -4, -2, -0.2, 10\/7, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from rfffrrrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -39*n - 15 + 44*n + 6*n**2 + 25*n**2 - n**2 - 11. What are the prime factors of i(-7)?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (-3 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33495575 and 7005.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54344.07203 rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.97694ml in litres?\nAnswer: 0.03097694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11170000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*-3*(sqrt(245) + 3)*-1*-1)**2.\nAnswer: 1512*sqrt(5) + 9144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l**(2\/29)\/l*l*l**(-3\/11)*l*l**(-2\/3) assuming l is positive.\nAnswer: l**(4909\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001198662 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4*n + n + n) - 8*n + 9*n - 6 - 5.\nAnswer: 5*n - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62823392*c**4 - c**2 - 59723789*c wrt c?\nAnswer: 1507761408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-49)\/126 - (-1)\/2. Let m = -1.6 + 2. Which is the third biggest value? (a) u (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024687902 rounded to 5 decimal places?\nAnswer: -0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -5, 5, 244 in increasing order.\nAnswer: -5, -3, 5, 8, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1680*-6757\nAnswer: 11351760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 5) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 16816.\nAnswer: 285872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 5*m + 2. Let v = -18 + 12. Let y be g(v). Let h = 0 + y. Let l(a) = -a**3 - 3*a**2 + 6*a + 1. What is l(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34238006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**3 - 10*f**3 + 0*f + 5*f - 4*f. Let q(p) = -p**2 + 6*p - 5. Let u be q(5). What is m(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 250\/8 + 5\/((-120)\/6). Suppose 0 = 5*u - 5, f = -f - 4*u - 20. Let y = f + l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f**2\/4 + 39*f\/8 - 3\/8 = 0 for f.\nAnswer: -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2367 + -28022?\nAnswer: -31400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27045 divided by -1803?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10292 and -37638.\nAnswer: 387370296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 16. Calculate f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91405, 91435, 91483, 91549, 91633, 91735?\nAnswer: 91855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmgmga. Give prob of sequence mgm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2752401.35 rounded to the nearest 1000?\nAnswer: -2752000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4072 - 3970*p + 4072)*(-2 + 0 + 3 + (2 - 4 + 3)*(2 - 1 + 1) + 1 + 1 + 1)*(4*p**3 - 6*p**3 + 0*p**3).\nAnswer: 47640*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -15\/2 (c) -1.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 + 6*g + 1. Determine b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 21. Let g be n(-12). Suppose -w - g = -10. What is the units digit of (1 + (0 - -16))\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**3 + 0*o**2 + 2*o**2 + 3*o**3 + 9*o**3 + 30049*o + 12*o**4 - 30047*o as h*o**3 + b*o + q*o**2 + x*o**4 + w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 5*s**2 + 5*s + 7. Calculate n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9000 divided by 1500\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 5*h - 321 + 3*h.\nAnswer: h - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*z = -11, -3*z = 3*d + 3 + 12. Let m be 1\/(d + 0\/2). Which is smaller: -2\/19 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - (-1 - -1)) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a - 4*l, 9 = -a - 3*a - 3*l. Let f = -191 - -18148\/95. Let t = f - 211\/665. What is the closest to t in a, 0.2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + y + 4, -3*v - 28 = -v - 5*y. Let l be (v\/3)\/(2\/(-1305)). What is l rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 45, 5, 3, -3\/4.\nAnswer: -3\/4, 3, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329696\/5 - -66151. Let m = b - 35791\/170. What is the common denominator of 91\/22 and m?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 = 4*t - 5*w, 0 = -5*w + 15. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-200)\/(-4) + -2 - (-4 - -8). Let u = -26 + i. Suppose -7 = -u*g + 17*g. Calculate the remainder when 25 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3042 divided by -6.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/(-18))*56\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u - 5*b - 5, -b - 5 = 0. What are the prime factors of -1 + u - (-4)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 89581392?\nAnswer: 1\/89581392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Give c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-4\/3)))*w*w\/(w*w**(1\/19))*w*(w*w\/(w**(-2\/23)\/w)*w*w)\/(w\/(w\/w**(10\/3))))**(-20\/3) assuming w is positive.\nAnswer: w**(-17580\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x - 2*a, 36 = x - 3*a + 21. Solve -x*o - 24 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/20 - u**5\/30 - u**4\/24 + u**3\/3 - 10*u**2. What is the remainder when 149 is divided by k(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474297067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 720*y**3 + 2*y**2 + 62860*y wrt y?\nAnswer: 4320*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 10*a**2 + 16*a - 10. Let u be y(-7). What is the highest common divisor of u and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 26862 = 155*s - 156*s, 5*g = -25. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 13*a**3\/2 - 135*a**2 - 216*a. Let f be h(7). Solve -4*k + 18 = -2*q, -f = 4*q - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 - 5*g**2 - 12*g - 38. Let z be k(-7). Let f = z + -1856. Factor 0 - 5\/3*v**2 - v**f - 2\/3*v.\nAnswer: -v*(v + 1)*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39913654 by -5.\nAnswer: 39913654\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-5 - (-4488026 - -17)). Round b to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020 a factor of 157932028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -27. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a32ab (base 16) to base 4\nAnswer: -2203022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**2 - 12\/7 - 118\/7*v.\nAnswer: -2*(v + 2)*(28*v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = 12. Suppose j*q = 3*q + 9. Solve 5*t - q = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9822, 9808, 9770, 9696, 9574?\nAnswer: 9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 - 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -42 - (-2 + 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -713 - -3541\/5. Find the common denominator of -65\/9 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-4))\/(-6)*-1)\/(-11)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.1 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 11, s: 8, n: 1}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/12 - 2)\/2*9. Let o = -193 - -187. What is the closest to 0.1 in o, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101220220 + -10111?\nAnswer: 2101210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.17322 centuries to decades.\nAnswer: 661.7322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3\/7 - 195546*k**2\/7 + 3300237915*k\/7 - 3672504751812\/7 = 0.\nAnswer: 1196, 31993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/14, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 - 21*i + 17. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:01 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439 + 3*u**2 + 439.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1083)\/(-133) + 5250\/(-392)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 87*p - 1 - 85*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -4 - -9) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**2 - 2*m**3 + 29*m**2 - 3*m**3 + 3*m**3 as r*m**3 + i*m**2 + z*m + g and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473512 and 1885?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + 169 - (2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6442 or 4\/3?\nAnswer: -6442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -32. Let b = -14 - m. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17139178 = -26*m + 64*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 4*q + 772, -3*p + 589 = -q. Suppose -7*x + 21 = 147. Let l be (-3)\/(((-15)\/20)\/(x\/(-4))). What is the highest common factor of l and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 11 + 4*d + 0 to the form r*d + u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558023434 divided by 6.\nAnswer: -279011717\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1*sqrt(33)*-2)\/(-1*sqrt(147)) - (sqrt(110)*-2*6)\/(sqrt(800)\/sqrt(5))) + 5)**2.\nAnswer: 114*sqrt(11)\/7 + 4412\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137*w**2 - 116*w**2 - 384*w**2)*(3 - 3 - 4*w) + (w + 0*w - 3*w)*(0*w**2 + 0*w**2 + w**2) to the form z + o*w + f*w**3 + m*w**2 and give f.\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.117520829 to 4 dps.\nAnswer: 14.1175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5155741870 rounded to the nearest 100000?\nAnswer: -5155700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -525*t**3 + 790*t**2 - 120*t.\nAnswer: -5*t*(3*t - 4)*(35*t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 46. Suppose 0 = 8*z - 37 + f. Suppose -4\/7*q**3 + 0*q + 0*q**2 + 2*q**z + 0 = 0. What is q?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 499. Calculate the common denominator of 0 - (-6 - -3) - x\/18 and -74\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211011210102 - -2200?\nAnswer: -1211011200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + b46?\nAnswer: b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19857347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-20))**(-37)*f**(2\/41)*(f**2*f)\/f assuming f is positive.\nAnswer: f**(30424\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6 + 11. Sort -21, 3, y, -2.\nAnswer: -21, y, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 - 164. Let w(g) = -2*g**3 - 13*g**2 - 9*g - 15. Let p be w(v). Which is smaller: 23\/8 or p?\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109038446+3428\nAnswer: 109041874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let q be g(6). Let l(w) be the second derivative of w**3\/6 - 3*w**2 - w. Let j be l(q). Solve j = 5*s - x - 3 - 8, 3 = 2*s + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(84)\/sqrt(7) - (sqrt(48) + 1)**2) + (4*(sqrt(27) - sqrt(54)\/sqrt(2)))\/(1*sqrt(324)))*-6.\nAnswer: 48*sqrt(3) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -182, -294, -420, -566, -738, -942?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 3 + 1 + x**2 + 0. Let h = 752 - 748. Determine c(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11060157?\nAnswer: 3, 73, 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4905728838 - 0.3.\nAnswer: 4905728837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {x: 1, p: 4, t: 6, a: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 1, f: 4, i: 1}. What is prob of sequence mu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 + 48*m**2 - 23*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckg. Give prob of picking 2 k and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 24 = 2*h. Let n = -2 + 5. Let l(v) = -v. Let s be l(n). Is s less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h + 5. Let d be c(8). What is the tens digit of ((-5)\/15)\/((-1)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19239 + 19230.601. Round d to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 5*r**2 + 3*r + 4. Give g(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 27 = 4*z, 6*z - 2*z - 39 = 5*x. Is z greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/5)\/g*g*g**(-9)*(g*g**(2\/27))\/g**(-10\/7) assuming g is positive.\nAnswer: g**(-6518\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16))\/((-7)\/(-28))*90\/810?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6 + 6. Let y = -35.6 - -36. Let t = 18.8 + -19. Which is the closest to v? (a) y (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 51*a**2\/4 + 5*a\/2 - 1848.\nAnswer: -(a - 48)*(a - 14)*(a + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*y - 2075 = 576*y - 168*y - 196*y for y.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y - 64. Let g be (2\/(-4))\/(2\/y). Suppose -g*n + 18 = -n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 19. Suppose -2*y + 4*o - 20 = 5*o, 4*o + 8 = y. Calculate the remainder when 9 is divided by s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 78\/12635 and -18\/122705705.\nAnswer: 858939935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 32120?\nAnswer: 32103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 7163?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*r - 3. Suppose 2*v - r*v = 0. Which is smaller: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/3360 - a**7\/504 + a**6\/720 + a**4\/24 + 4*a**2. Let s(y) be the second derivative of x(y). Is s(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-4)\/((-120)\/54))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, x: 1}. What is prob of sequence ua?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5294646 by -203.\nAnswer: 26082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:16 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 851, 1704, 2557, 3410, 4263, 5116?\n\"Answer: 853*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r**3 + 8*r**3)*(-4*r**2 + 0*r**2 + r**2) + r**5 + 3*r**5 + 2*r**5.\nAnswer: -15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441.8 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 - 2*h - 10. Let k(g) = g. Let p be k(-9). Let i be o(p). Let c(w) = -50*w - 495. Let t be c(-10). Put t, -3, i in decreasing order.\nAnswer: i, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, 1 t, and 1 q when four letters picked without replacement from {c: 2, t: 1, a: 1, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 23*i**6\/30 + i**4\/6 + i**3\/3 + 15*i**2 + 1. Find the second derivative of m(u) wrt u.\nAnswer: 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236893 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89, -142, -291, -584, -1069?\n\"Answer: -8*j**3 + 3*j - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*v + 562 - 3760. Sort v, -1, 2\/9, -4\/7.\nAnswer: -1, -4\/7, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83\/3 - -28. Let c be 5\/(2\/(-3) + 1). Let d be 0 - -2 - 24\/c. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 3, g: 11}. What is prob of sequence ggr?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-160)\/(-48)*(6234 + (9\/3 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1785*t - 39 = -1786*t, -5*q + 40 = 2*t - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2150*s**2 + 65*s**3 - 459*s**2 - s + 189*s**3 + 343*s**3.\nAnswer: 597*s**3 - 2609*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:18 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -680979*i**2. Let h(u) = 29*u**2. Determine h(s(z)).\nAnswer: 13448239554789*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937004 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22610)\/17000 + 4\/3. Let l(i) be the third derivative of o*i**6 + 1\/50*i**5 + 1\/15*i**3 + 0 + 1\/20*i**4 + 5*i**2 + 0*i. Let l(p) = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1259413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 28*d - 81. Determine h(-13).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (1*sqrt(65) - sqrt(65))\/sqrt(5)) + -1 + (sqrt(13)*-1)**2.\nAnswer: sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2260 or -2256?\nAnswer: -2260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 3. Let g(y) = 1 - 5978*y - 7 + 5964*y + 2 - 6. What is -6*g(l) - 17*p(l)?\nAnswer: -l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)*(-3 + 2). Let y be p*4\/12*15. Let t(d) = -7*d**2 + 11*d - 2. Let u(n) = 3*n**2 - 5*n. Let i(h) = -2*t(h) - 5*u(h). Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa2 (base 12) to base 10.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -17.65. Let v = g - -0.55. What is the nearest to 1 in v, -4, -4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -32*n + 7. Let c(h) = 14*h - 3. Let s(t) = 7*c(t) + 3*z(t). Let v(l) be the third derivative of -7*l**5\/60 - l**4\/12 + 26*l**2. Calculate v(s(i)).\nAnswer: -28*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(36)\/(sqrt(12) + sqrt(24)\/sqrt(2)).\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -62 + 16 + 1 - (0 + 12).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -21.99994. Round v to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 855 by 5.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 72*y - 537 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3797*q + 3872*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001022504671 to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/891 and -34\/891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Suppose 0 = d - 3, -260 = -x*g + 4*g + 5*d. What is the highest common divisor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-36) + (-1210)\/(-600) + -2)\/(55\/22).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 81\/5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - -18 - 9) + -38 + 10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w - 1. Let u(j) = 4 - 2*j**3 - 5*j**2 + 6*j**2 - 3*j + 0*j + j**3. Suppose 324*v + 119 - 1091 = 0. Give v*r(f) + u(f).\nAnswer: -f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-2 + 4) + 30\/(-10). Let z(f) = f**2 + 4*f + 3. Determine z(g).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 6*g**2 + 23*g - 10. Let x be s(-6). Suppose 21*y = x + 157. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q - 1. Let i(w) = 9*w**2 + 10*w - 4. What is 6*h(l) - i(l)?\nAnswer: -3*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/7 and -111\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2656, 2653, 2650, 2647, 2644, 2641?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-145)\/(-15))*3. Let v = s + -37. Suppose -v*b - 4*l = -12, 2*b = -3*l - 0*l + 1. Solve 0 = -0*y - 2*y + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/32 and (-266)\/72 - (-20)\/(-90).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*((-4)\/3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -14. Let t = 24 - q. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 471310\/74 + (-27)\/(14985\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 7*y**2 + 6*y + 3. Let h be a(6). What is the first derivative of s**3 - 3*s**h - 7 - 3*s**3 - 7*s**3 wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 184294802?\nAnswer: -184294802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 81*t**2 - 313*t + 12. List the prime factors of w(-20).\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 + u**4\/8 + 13*u**3\/6 + 14*u**2. Let c be d(5). Suppose 3*x = -4*p - 3, -2*p - c - 6 = 3*x. Solve t = p*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25a975 (base 12) to base 6\nAnswer: -21142225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of ((-747)\/(-27) - -2)*(2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*-364.49.\nAnswer: 37542.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44828*z = 44809*z + 374699. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - w - 10, -3*w + 4*w = 2*s + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 306*j**3*m**4 + 19*j**3*m**2 + 311*j**2*m - 4*j*m**3 + m**3 wrt m.\nAnswer: 7344*j**3*m - 24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooyoooooooooaoooaa. Give prob of picking 1 a and 3 o.\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2\/9*r**2 + 2\/3*r + 4\/9 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0\/4)\/(-3))\/1. Suppose 4*o - 4 = 0, -5*x - 6*o + 3*o + 153 = g. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1041 divided by -3.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**2 + 8*k + 14. Let y(u) = 10*u**2 - 6*u - 14. What is -4*g(f) - 5*y(f)?\nAnswer: -6*f**2 - 2*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 372608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 8 = 20*i. Suppose 0*p - 15 = -3*p. Solve x = 2*f + p*x - 16, 3*f - 2*x = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252663, -505336, -758009?\nAnswer: -1010682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Let p be m(-4). Suppose -2*r + p = -5*l, -2*l = -r - l + 8. Suppose d + i - 13 = 0, -5*i + r + 7 = -d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47, -73, -99, -113, -103, -57, 37, 191?\n\"Answer: 2*r**3 - 12*r**2 - 4*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -672074, -1344146, -2016218, -2688290, -3360362?\n\"Answer: -672072*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 2*f + 102 - 46.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkjooonkkjkkkkjn. What is prob of picking 2 n and 2 k?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/39 - -332\/273. Let n = -11 - -8. What is the closest to 0 in n, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/15)*b**(2\/7)*b**(-3)\/b**(2\/11)*((b*b**6)\/((b*b**(-4))\/b))**(6\/11) assuming b is positive.\nAnswer: b**(3431\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 354 and 472.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10034\/100340 - (-63)\/(-15)*(-7)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 + 1331*s**4\/6 - 3763*s**3\/3 - 2862*s. What is the second derivative of r(f) wrt f?\nAnswer: 6*f + 5324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 44 = 3*v + g, -3*v - 152 = 2*g. Let m = v - -163. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 101*t**2 - 2*t + 105*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**2 + 2 + 0*p + 2\/3*p**3. Let l(g) = -g. Calculate y(l(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -26. Let f = 1.1 - b. Sort f, 2, 4 in increasing order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - 379?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 13 + 21 - 8. Let v(t) = -69*t**2. Give g(v(j)).\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 79 = z - 5*w, 2*z + 2*w - 42 = 0. Let m = 28 - z. Suppose 5 = 2*b - 4*r - m, -4*b = 5*r - 7. Solve -b*l - 1 + 16 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62df - 9a?\nAnswer: -6379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01266 + 0.05366. What is the third biggest value in 0.1, t, 0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-7) + 222\/14 + -13. Let g(m) be the first derivative of -m**4\/4 + m**3 + 5*m**2\/2 + 3*m - 1. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.1 + 0.1. Sort -6\/11, 0.5, d.\nAnswer: d, -6\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 11*m**4\/2 - 7*m**3\/3 - 12. Find the third derivative of w(z) wrt z.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 39\/30)\/(6\/(-178)) and 85\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400b1 (base 12) to base 5.\nAnswer: -10124302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8058, 8062, 8068, 8076?\n\"Answer: f**2 + f + 8056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - -2) + (-4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10950.2 - -0.26.\nAnswer: 10950.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -27*0.1\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u - 5. Let z(j) = -3. Let a(p) = -3*c(p) + 5*z(p). Factor a(n).\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10317\/4 + 2579. Which is the third smallest value? (a) 2 (b) n (c) -0.125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 8*u + 7. Let t be i(-9). Let n be t\/(-8) - 470\/(-8). Let o be (n - -1)\/(12\/16600). Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109485 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6073889?\nAnswer: 6073889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/36 + 26*t**3\/9 + 338*t**2\/3 - 839*t. Let y(p) = 0. What is p?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5672 and 6724?\nAnswer: 9534632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 19*r - 10. Let a be f(-6). Let s = -86 - a. Solve s*u - 5*y = 31, 2*y + 15 = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*c + 1. Let z(d) = 39*d + c + 38*d - 78*d. Give z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28*a = -25*a - 926, -934 = 4*u + a. Which is smaller: u or -937\/4?\nAnswer: -937\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -23, 103 in decreasing order.\nAnswer: 103, 2, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 171 - -8a869?\nAnswer: 8aa1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -42*k**3 + 8*k**2 + 25*k - 2. Let f(d) = 2*d**2 + 91*d + 125. Let o be f(-44). Is p(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2. Let o(n) = n + 5. What is 8*f(b) - 3*o(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 21 = 4*s, 4*s = -0*b + 4*b + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 11. Let r = 7 + -4. Let j(y) = 1. Let w(p) = r*j(p) + n(p). Let f = 7 - 7. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2776, -5447, -8034, -10495, -12788, -14871?\nAnswer: -16702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyz when three letters picked without replacement from {z: 2, q: 5, u: 1, g: 3, y: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -21*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152659197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) - sqrt(847)*2) + -4.\nAnswer: -4 - sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*i + 1030 - 1035, 0 = 5*i - j + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*z - 4*z - 13*z)*(-2 - 2 + 3) - 2*z + 3 - 3 to the form s + u*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 3. Let h(g) = -g**3 + 7*g**2 - 5*g - 5. Let c be h(6). Let l be t(c). Suppose -q - 2*u = 2*q - 7, 10 = -5*q + u. Is q less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8884 + -8883.4. What is the fifth smallest value in z, 4, 1\/5, -2\/5, -0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 + 94*s**4 - 638*s**3 - 17030*s**2 + 140608*s - 123032 = 0. What is s?\nAnswer: -13, 1, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -921 from -129.678123.\nAnswer: 791.321877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0655 + -0.0654463. What is s rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -235.3\nAnswer: 117.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*8*6\/6. Suppose 5*t = a + 12. What is the smallest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-119)\/(-420))\/(90\/540)*70\/(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 303, 575, 809, 987, 1091?\n\"Answer: -3*m**3 - m**2 + 296*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (-8 - (11 + -20 + 11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 185?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.76+4.2856\nAnswer: 6.0456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.04 + 32. Let n = v - 0.06. What is the closest to 2\/3 in n, 6\/11, -2\/7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448763 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692856979.\nAnswer: 3, 1201, 249131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41286608 divided by -187.\nAnswer: -220784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Let k(p) = p**2 - 7*p + 3. Let x be k(7). Let z(a) be the third derivative of 1\/12*a**4 + 0*a**x + 0*a + 0 + a**2. Give z(l(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w. Let s(f) be the first derivative of 0*f**2 + 0*f - 1\/3*f**3 + 31. Determine b(s(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 680*j**2 + 28900*j.\nAnswer: 4*j*(j - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + 2*sqrt(192)))**2*-2.\nAnswer: -6216 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1331 or 2154?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 + 3*f + 6. Suppose 2*s - 6*s - 5*d + 7 = 0, -s - 5*d = 2. Let m be -1 - (5\/s - 5\/(-15)). Determine w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2. Let d(m) = m + 4. Let k(f) = f + 3. Let y(i) = -3*d(i) + 4*k(i). What is y(a(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let h(g) = 64*g + 2. Give -h(o) + 3*z(o).\nAnswer: -67*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68875223 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + p + 5*p)*(-84 - 91 - 3).\nAnswer: 178*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9 = 2*j, 4*j + 4 - 8 = -4*a. Let o be a\/2 + 5 + (-21)\/2. Suppose 5*u + 44 = 14. Does o = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 3*q - q + (q + 3*q + 4*q)*(-4 + 2 + 12) - 3*q + 5*q - 4*q.\nAnswer: 79*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 23. Let u = s - 23. Solve -4*a - 1 = 3*j - 4, u = 5*a + j - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Factor 2*a**4 - 5*a**3 + a**h + 3*a - 2 + a.\nAnswer: 2*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122120 (base 3) to base 8.\nAnswer: -2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7246 - 0.3246. Put z, -0.03, -9, -0.5 in decreasing order.\nAnswer: z, -0.03, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(5\/(-1795)*1). Suppose t + j = 141. Let b = 13 - t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8787?\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*x - 638 = -501*x + 6168 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3) + 36*-1. Let w be (-16)\/(-14) - 1 - b\/56. Suppose -w*k**2 + 3\/4*k**4 + 3\/4*k**3 + 0 - 3\/4*k = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -250, -827, -1946, -3787, -6530, -10355, -15442?\nAnswer: -21971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 57*f**2 - 18*f - 172. What is the tens digit of z(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -193, -787, -1769, -3133, -4873, -6983, -9457?\n\"Answer: r**3 - 200*r**2 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y + 7. Let o be j(-6). Let t = o - -6. Is t*(-1)\/(-1) + 12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1208.\nAnswer: 1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -82. Let r = i - -32. Suppose -r*x = -3*x. Solve x = 2*l + 3*l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 8:41 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -860, -1506, -2152, -2798?\n\"Answer: -646*d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.353 - 42618.\nAnswer: -42618.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 129 = 15. Calculate the remainder when 896 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -174\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 14*k + 13. Suppose 37 = 2*u + 17. Give w(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 17135162*c\/5 + 3427032.\nAnswer: 2*(c + 1)*(c + 8567580)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let s(z) = 6*z. Let k = -3743 - -3741. What is k*s(d) - 28*f(d)?\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*t - 1024984 + 1024984.\nAnswer: -400*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 4. Let v be w(9). Let g = -23 - v. Let x(f) = f**3 + f**2 + 6. What is x(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) -2\/3 (c) 3\/8 (d) -1.4 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3 - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 5) to base 11\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1053)*-2 + 3 + -2 - (5 + 4 + -2*sqrt(1053))) + -4)**2.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/(-61) - (-42)\/(-4)*5\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aai when three letters picked without replacement from iiaiaiaaiaai?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.7. Let b = -0.5 + w. Let p = 0 + -2. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/6 - 23*b**2\/6 + 43*b\/6 - 7\/2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 39. What is the tens digit of p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1520267, 3040444, 4560621, 6080798, 7600975?\n\"Answer: 1520177*t + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3431048 divided by 643\nAnswer: 5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-277)\/2)\/((-1)\/2). Suppose 73 = -j + f. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 185, 150, 97, 32, -39, -110, -175, -228?\n\"Answer: v**3 - 15*v**2 + 3*v + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.8, -5\/2, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 5. Let f be m(-4). Let r = f + 13. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*o + 65*o - 14*o**2 - 123*o - o**3 - 163*o**2 + 2*o**4 to x + i*o**4 + g*o**3 + t*o**2 + l*o and give t.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -58, -7, 0 in increasing order.\nAnswer: -58, -7, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -16*r**7\/21 - r**3\/2 + 2*r**2 - 91*r. Find the second derivative of k(i) wrt i.\nAnswer: -640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26334808?\nAnswer: 2, 79, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 22 = -2*t, 5*t + 0*x = 2*x - 20. Let k(a) = -2*a**2 - 3*a - 4. Let z(j) = -4*j**2 - 4*j - 7. Let q(o) = -7*k(o) + 3*z(o). What is q(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002483 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15768, -15931, -16094, -16257, -16420, -16583?\nAnswer: -16746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*f - 15 + 25, -5*f = 5*g + 20. Let s be ((-1)\/(-3))\/((-3)\/9). Put 5, g, s, 0 in ascending order.\nAnswer: g, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -13.\nAnswer: 58\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - 2*w - 10. Let j be n(6). Suppose j = o - 18. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/3))**(3\/14) assuming w is positive.\nAnswer: w**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6) - (-10)\/(-4))*-2. Let u(f) = -4 - z + 4 - 2*f + 9. Let q(a) = -6*a + 16. Let p(d) = -5*q(d) + 16*u(d). Calculate p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 20\/(0 - 8\/(-12))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 3*r**2 + 3*r + 2. Let q be m(4). Let f be (2 + q)\/2 - 0. Solve 5*w - 3 = -4*z - 0, 5*z + w - 9 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*i - 771*i + 48713 + 17437 = 0 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/105256 and 45\/572?\nAnswer: 15051608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose -1 = 2*v - 5. Suppose 14 = v*q - f, 0 = -o*q - 4*f + 2 + 2. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 + 3*h - 2. Let n be g(2). Which is the fourth biggest value? (a) n (b) -16 (c) -2\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*sqrt(1331) + sqrt(55)\/(sqrt(320) + (sqrt(320) - (4*sqrt(320) - sqrt(320)))).\nAnswer: -265*sqrt(11)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 11*j + 17*j**2 - 3 - 1079*j**2 to g*j**2 + o*j + y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 5. Let k(h) = 15*h**3 - h**2 - h + 1. Suppose t + 5*i = -19, -t - i = -4*t + 7. Let w be k(t). What is the greatest common divisor of w and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2004\/(-5))\/((-180)\/(-600)). Which is smaller: b or -1335?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 804 - -6628?\nAnswer: 7432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439 is divided by 161?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 - 3 = 0. Let q(f) = 2*f**3 - 4*f**2 + 3*f - 2. Let t be q(v). Suppose -687 = -t*b + 113. Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*b - 400*b - 640*b + 533*b)*(-1 + 1 + 2*b)*(-1 - 4 + 3).\nAnswer: 2720*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -55*l - 6. Let k(j) = 1. Let f(d) = -10*k(d) + 2*t(d). Let h be f(-4). Suppose -2*i = 4*m - h, -3*i - 2*m + 6*m + 607 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147876.18152 + 147884. Let m = -4.18139 - t. Let i = -12 - m. What is i rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647124?\nAnswer: 2, 3, 53927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (9 - 1))\/(-3). Let v(u) = u**2 - 5*u - 5. Let m be v(7). Let n = -5 + m. Solve -i = s + 2*y, 6*s - 3*s + n*y + 11 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2*p**2 + 0*p - 4\/3*p**3 - 11. Suppose s(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 181*l**2 - 85*l - 4. Let o(r) = -30*r**2 - r - 1. Determine 6*o(n) + w(n).\nAnswer: n**2 - 91*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 2*w + 2. Let x be j(-1). Is 7 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(2*t**2 + 30*t + 446 - 446).\nAnswer: -2*t**3 - 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -8)\/(6\/6). Suppose 3*k - v*l - 409 = -3*l, 3*k = -4*l + 377. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 113, -1.\nAnswer: -1, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390271\/638 + -252\/319. Let w = 375 + -1038. Let x = w - n. What is the common denominator of 49\/16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (11 - 1) - (-32 + 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050260.\nAnswer: 2, 3, 5, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * -0.3268.\nAnswer: -94.1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4*(-18)\/15. Let v = 3.17 - 1.17. What is the third biggest value in -5, q, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 78.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(45\/(-3)))\/((-1)\/(-2)). Let f = -773\/2 + 387. What is the nearest to s in 0.03, -4, f?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from bbybybybybbbby?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122302302 a multiple of 1758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117243 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12097 - -12096.993727. Round y to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709693 is divided by 3257.\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.58 rounded to one decimal place?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-5 - -10 - 9)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8352\/(-4176))\/((-6)\/39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2620006 and 228021.\nAnswer: 4471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 409, -0.02 in decreasing order.\nAnswer: 409, 1\/4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.6. Suppose -4*f + 4 = 0, -5*b - 25 = 69*f - 74*f. What is the nearest to 1\/2 in 2\/21, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446785322.\nAnswer: 2, 223392661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691955?\nAnswer: 5, 11, 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2)\/v**(-15)*v*v\/(v*v\/(v*v**(-1\/30))*v)*v\/v**(-1\/8))**(-42) assuming v is positive.\nAnswer: v**(-14777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118579185.9 seconds to weeks.\nAnswer: 196.06346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let y be (3 + (-123)\/36)*(-420)\/525. Let l(f) be the second derivative of -2*f + 0 + 5\/2*f**2 + y*f**3. What is i(l(d))?\nAnswer: -4*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1559 + -1556. Solve 5*h - h + z = -16, 24 = -4*h - k*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136465727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1057 - -2400. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - (-4 + -1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 633601 at least as big as 660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*q**3 - 18*q + 18*q - 132*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 2. Let d be v(-9). Let o = -18 + d. Let n = o + -4. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 115. Suppose -11 = 6*h - 11. What is the remainder when v(h) is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-15))\/((-1)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:15 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 17*q - 90. Let v(a) = -2*a**3 - a**2 - 1. Let i(f) = 14*f**3 - 7*f**2 + 8*f + 5. Let x(k) = q*v(k) + i(k). Suppose x(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59914103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2452)\/8*-2*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52251297919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -6677, -2\/7 in descending order.\nAnswer: 1.5, -2\/7, -6677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -168.4238 * -39\nAnswer: 6568.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + z**2 - 40*z - 70. List the prime factors of u(9).\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 37*l - 160. Let a(v) = 13*v - 53. Let z(m) = -8*a(m) + 3*q(m). Let p be z(8). Sort p, -17, -4, 3 in descending order.\nAnswer: 3, p, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - sqrt(240)*4))\/(1*(sqrt(12) - sqrt(3))))**2*-6.\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = 4*w, -5*w - 2 = 2*z. Suppose z*x - 450 = -2. Is x a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 3*v)*(0*v + 2*v - v) + 3*v**2 + 5*v**2 - v**2 + 25*v**2 - 34 + 34)*(0 + 0 - 2).\nAnswer: -70*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4*y - 2. Let q be a(5). Suppose -2*p = -0*d + 4*d - 56, -2*p + 26 = -2*d. Suppose q*o - 24 = p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -19 (c) -8\/3 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -262.2.\nAnswer: -265.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1, i: 1, k: 1}. What is prob of sequence ik?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(-209 + 2*u + 209) as g + h*u and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*l = -90 + 59, 4*g = -2*l - 102. Let w(z) = -4*z + 3. Let u(b) = 17*b - 13. Give g*w(d) - 6*u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 74. Let d = b - 34. Solve 0*n = 5*l + 3*n + 8, 24 = -4*l + d*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/30 and -11\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58381 is divided by 8337.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 574 - 329. Suppose h = -4*h + a. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*l + 53 = l, 5 = f - 2*l. Suppose -19*h + f*h + 186 = 0. What is the greatest common factor of h and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2736220*h. Let m(g) = 2*g**2 + 19. Calculate t(m(j)).\nAnswer: -5472440*j**2 - 51988180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 274 - 263*f + 539 - 273 - 5*f**2 as k + d*f + a*f**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 3*t**2 - 2*t - 2. Let k be b(-3). Suppose 7 - 15 = -k*g. Solve 2*z = -g*z - w + 10, 4*z - 6 = -3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 437968702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**4\/24 - 11*c**3\/6 + 6*c**2 + 3. What is q(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -355 - -354.05. Let c = h - 10.95. Which is smaller: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5927 = 36*u - 5089. Calculate the least common multiple of 4 and u.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from twz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*(-1128)\/(-10 - -22). Let y be ((-4)\/10)\/((-1)\/15). Suppose 0 = -3*r - 4*d + w, -d = -4*d + y. What is the greatest common factor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.4 (c) 4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 397522519 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/377 in -1\/4, 0.09, 0.2, 1\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1648.9 - 1305. Let k = -344 + n. Let f = -4.6 - -5. What is the fourth biggest value in -5, f, k, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 583471*y**2 - 656*y - 539503603.\nAnswer: 1166942*y - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/3 - m**2 + 6*m + 21. Is 42 a factor of n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200201000021101 + 11?\nAnswer: -1200201000021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o**2 + o - 11. Let a be g(4). Let j = a + 87. Suppose -3*w = 5*m - 611, 3*w - 2*m - 471 - 154 = j. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7 + 5263)\/(-8))\/(3\/(-46)) - 1?\nAnswer: 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/5610377?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (30 - (-34 - -85)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3231915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12*q + 2912. Suppose 2*k - 15*k + q = 0. Solve -k = 2*g - 5*h, -6 = -2*g - 4*h + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 32 = 101. Which is the nearest to k? (a) -0.2 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = v + g, 0 = 2*v + g - 3. Let j(q) = 94*q**2 + 2*q. Let a be j(v). Let x = a + -101. Let s(w) = w + 8. Calculate s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*y - 112 - 8 = 0, 4*u = 3*y - 117. Let s be u\/((-9)\/120000*-2). Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 14*a + 9. Let d(b) = -4*b**2 + 13*b + 9. Let v(c) = -5*d(c) + 6*w(c). Let u be v(-9). Are -4\/87 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3853732787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 3:38 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 1115*o - 1120*o - 5*b, 261 = -18*o - 3*b for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 81 = -15. Let u(g) = g**3 + 2*g**2 - 3*g. Let x be u(-3). Suppose 0 = -4*h - 5*s + 37, -h + s + s - 7 = x. Solve y + h = m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-19)\/((-2736)\/80)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2493)\/1108)\/(((-405)\/(-470))\/9)?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49042 is divided by 12149.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8230249323, 8230249316, 8230249299, 8230249266, 8230249211, 8230249128, 8230249011, 8230248854?\nAnswer: 8230248651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 93, 139, 199, 279?\n\"Answer: y**3 - 2*y**2 + 37*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0, -15, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.2 - -41. Let p = 0.8 - z. What is the smallest value in -2\/19, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 3*l**2 - 2*l**2)*(4 - 4 + 24)*(-l - 3*l + 2*l) - 21*l**3 - 8 + 8 to r*l + z*l**3 + u + f*l**2 and give z.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 + 34 + -41 + 16 + (-95 - -2)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (1 + 5)\/3. Suppose -g = 3*o + 5, 3*o - 1 = -3*g + f. Solve 4*u + m - 12 = 0, -18 = g*u - 5*u - 4*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 6.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -5, -0.32, 3, -22481?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(4*(-1 + sqrt(931)) - sqrt(931))*2 + -4)*4*-2 + 5)**2.\nAnswer: -1399104*sqrt(19) + 77341273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 - 61*m**2\/2 - 62*m - 1758. Factor r(z).\nAnswer: (z - 62)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 16 = -1. What is the units digit of ((-6)\/r - -1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1782 and -45\/8.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79166601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253453 less than 57.42?\nAnswer: -9253395.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7566 and 44291946?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5785 is divided by 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/6 - 2624*a**3\/3 - 3432176*a**2\/3 + 9194496*a - 18417024.\nAnswer: -(a - 4)**2*(a + 2628)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-12) - 38\/6. Let r be 3\/t + (-15430)\/(-70). Suppose 5*u - 262 = 3*c, -u = -5*u + 5*c + r. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17385102 divided by 755874?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8005 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7657 - -3545. Suppose 5*o + 2*x + 1599 = 20300, 5*x + l = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/3 + 28*a**4\/3 - 26*a**3\/3 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30114*g**2*v - 319*g**2 - 5548*g*v - 28*v - 2 wrt g.\nAnswer: 60228*v - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**3 + 8*p**2 + 6*p - 29. List the prime factors of b(-4).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b - a + 124, 4*a + 344 = 3*b. What is the common denominator of -47\/16 and 566\/b + 36\/27?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2430\/75 - (-3)\/5. Suppose 7*m - 4*m = -y. Is 33 a factor of (m - -7) + (0 - -85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/5))\/k*k*k**2)\/(k\/k**(2\/3))**(-1\/75))\/(k\/((k\/(k\/(k**(-9)*k)))\/k)*k*k**(-5))**(-1\/11) assuming k is positive.\nAnswer: k**(7796\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and ((-92)\/(-56))\/(2\/(-4)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + -10 + -10 + 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -492 - -491.9735. Round p to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1281*k*u**5 + 4*k*u + 4*k - 4132*u**3 + 20*u + 439 wrt u.\nAnswer: -25620*k*u**3 - 24792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4126 - 1382 = -3*h + 3*n, -3*h + 5*n = -5520. Calculate the greatest common factor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915167103.\nAnswer: 3, 17, 17944453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375394536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*u = -167*u - 62 - 66 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7485 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 2*t - 1. Suppose 3*n - 4*s + 42 = 0, 4*s - 4 = -n - 2. Let i = 115 + n. Let x = -107 + i. What is o(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3171*d - 1665*d - 3424*d.\nAnswer: -8260*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (224*j**2 + 237 - 116 - 123)*(-5 + 1 + 3) in the form v*j + d*j**2 + n and give d.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33405*s**2 - 116822*s.\nAnswer: 66810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 16 = 0. Suppose i*g = 2*g. Let c(y) = 2*y + 29. Let s be c(-14). Solve -l + g*l = s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.164 times -10\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -66.8. Let s = q - 10.7912. What is s rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4317359?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 211001?\nAnswer: 211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/13823804 or -1?\nAnswer: -5\/13823804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 22 - 6*v - 6. Let g be p(-4). Is g at least as big as -0.003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 113?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 5*m**2 - 9*m**2)*(-14*m + m + m)*(1 + 2 - 1) + 7*m**2 + 3*m**3 - 7*m**2 - 5*m**3 + m**3 + m**3.\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -515?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2169488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let x(j) = 76*j + 14. What is y(x(g))?\nAnswer: 5776*g**2 + 2128*g + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 341*c - 33. Let j(n) = -3. Let r(b) = -22*j(b) + 2*p(b). Let x(h) = -h. Determine x(r(k)).\nAnswer: -682*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3115*o**4 + 2363.\nAnswer: 12460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*r = -155*r - 1381415. What are the prime factors of r?\nAnswer: 5, 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.48613 + 0.01387. Let x be 1\/4 + 1503\/36. Is i equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-302*u + 615*u + 0 + 0)*(16845 - 16845 + 49*u**2) to the form q*u**2 + l + r*u**3 + h*u and give r.\nAnswer: 15337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + q - 19 = -q, -5*q + 35 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 9) in base 5?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 561\/8 and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*l + 3)*(12*l - l + 2*l)*(-4 + 4 + 4*l) to w*l**3 + t*l + k*l**2 + a and give w.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1461485790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-51)\/72. Let g = -28 + 28.263. Let q = g - -0.037. Put d, -3\/4, q in ascending order.\nAnswer: -3\/4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3350 and 3100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - o**3 - o**3 + (6*o**2 - o + o)*(6*o + 0*o - 4*o) - 5*o**2 - 2*o**3 + 3*o**2 + 0*o**2 in the form h*o + w + z*o**3 + c*o**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 491, 1864, 4007, 6800, 10123, 13856?\n\"Answer: -20*a**3 + 505*a**2 - 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.5, 0.032, 0?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 231, 0, 4, -18 in increasing order.\nAnswer: -18, -3, 0, 4, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 258 = -25*q - 555 + 278 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -194\/5. Let g = -1668 - -1667.9. What is the second smallest value in -0.2, j, -1.7, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617714.\nAnswer: 2, 308857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**4 + 2 - 1 + 0 - j**4 - 2*j**2 + 2*j**2 + (-3*j - j + 2*j)*(2*j**3 + j**3 - j**3) - 3*j**3 + j**4 + 3*j**3.\nAnswer: 4*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1407, -3949, -9305?\nAnswer: -14661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 72*h**2 + 120*h - 336. Let b(l) = 11*l**2 + 20*l - 56. Give 13*b(d) - 2*y(d).\nAnswer: -d**2 + 20*d - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-87)\/(-2) + (-9)\/6. Suppose -a + x = -z, 0 = -3*a - 3*z + 59 + 79. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224374?\nAnswer: 2, 43, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/107572 and -145\/6.\nAnswer: 322716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248753, -248759, -248777, -248813, -248873, -248963, -249089?\nAnswer: -249257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-5 + sqrt(76) + sqrt(76))*-5 - (sqrt(76)*-2 + 0)) + 1 + 1)**2*-2.\nAnswer: -26746 + 2392*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = z - 17, -f = 4*z - 9 - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72024037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 3. Let h(i) = 156*i**2 - i + 2. Determine h(l) - o(l).\nAnswer: 154*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*x**2 - 28.\nAnswer: 214*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -54 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 3*t + 2. Is j(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 49*u - 112)*(16*u + 16*u - u)*(2*u**3 + 2*u**2 - 2*u**2).\nAnswer: 3038*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23271, -0.1, -17 in descending order.\nAnswer: -0.1, -0.23271, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2981\/44 - 1\/(-4). Suppose 56*g - 64*g = -536. Let f = p - g. Which is the second smallest value? (a) f (b) 4\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2809 - -2246.4. Let k = -563 - p. Which is the biggest value? (a) 5 (b) 0.2 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50932 - -50932.4. Suppose n - p + 1 = 0, -2*n - p = 2*p - 23. Let h = -0.08 - 0.12. Which is the biggest value? (a) h (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00572206 to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/10*1*-35?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 4*t, p - 3*t + 5 = -2. Suppose k - 2*u + 2 = 0, k - 4*u = -0*k - p. Sort -17, 0, k in decreasing order.\nAnswer: k, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 24 = -21*f + 17*f, 3*f + 5*y = -28. Let j(k) be the third derivative of 0 + 1\/24*k**f + 0*k + 1\/6*k**3 + 2*k**2. Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 127, 66, -19, -128, -261, -418?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -11. Let c = -5710.4 + 5710. Sort l, -1\/5, 0.5, c in ascending order.\nAnswer: l, c, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*s = 303*s + 175 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 14 = -n, 0 = 624*v - 623*v - 4*n + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61815846227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 1 - 245*y**3 - 4*y**2 + 7 + 243*y**3 + 6*y**2.\nAnswer: -2*y**3 + y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2374)\/8309*(-735)\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 5, t: 4, l: 1, m: 1, s: 3}. Give prob of picking 2 s, 1 e, and 1 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 104*m - 172. Determine x(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81, 85, 99, 129, 181, 261, 375, 529?\n\"Answer: c**3 - c**2 + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-11) + 162\/891. Solve -6*l + 4 = -c*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -18. Suppose k = -z + 13, k + 4*z = 5*k - c. Let x be (-2)\/k + 12\/10. What is the highest common divisor of 2 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and -0.05.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2984 + -2983.9996758. What is a rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175408473.\nAnswer: 3, 58469491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49.000272 - 49. Round c to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55275 and 143715?\nAnswer: 718575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 12351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 1 + 33. Let f(p) = 2*p**2 + z*p + 19*p - 29*p. What is f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 22, 50, 88?\n\"Answer: 5*j**2 + 3*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -5*a + 0*a**3 + 0*a**4 + 11\/20*a**5 + 121\/210*a**7 + 0*a**6 - 9*a**2 + 0. What is the third derivative of x(r) wrt r?\nAnswer: 2904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/3 + 3974*n**3 + 4493904*n**2 + 3510415720*n\/3.\nAnswer: -2*n*(n - 6965)*(n + 502)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.8 plus 119?\nAnswer: 293.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5588217034.6824.\nAnswer: -5588217029.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2919076 and 1504?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -508, -688?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2155b6 (base 15) to base 13\nAnswer: 43779c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 93, 84, 65, 36, -3, -52?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:24 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/5)*o*o*o\/o**1*o*(o**(-2\/7))**(-1)*((o\/o**5*o)\/o*o*o**0\/o)**(2\/35) assuming o is positive.\nAnswer: o**(156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/85)*((w\/w**(4\/7))\/w)\/w assuming w is positive.\nAnswer: w**(-326\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398788234*r**3 + 176*r + 173397?\nAnswer: 2392729404*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -20*u**3 - 9581*u**2 - 350*u + 61772. What is w(-479)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = 3*b - 5, 8 = u - 2*b. Let j be 2\/(-15) - (u - 1428\/(-90)). Which is bigger: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 28*m**2 - 55*m + 3. Let w be x(24). Determine z so that -402*z + 175*z - 613*z + w + 80*z**2 + 1218 = 0.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15917*o**2 - 4*o.\nAnswer: o*(15917*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72127199177 less than 5?\nAnswer: -72127199172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107793634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 284 = -4*b - 4*f, 5*b - 4*f = 364. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Suppose -72 = -0*q - 5*q + g*n, 3*n + 26 = 2*q. Let s be (2 + q\/(-6))\/((-6)\/27). Solve 0 = s*x - x + l - 8, -12 = 2*x - 4*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 11*j**2 + 6*j - 6. Let m(q) be the first derivative of 2\/3*q**3 + 1\/2*q**2 - q - 6. Let b(t) = -11*m(t) + 2*y(t). Determine b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 142 = -458. What is the remainder when q is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 38, 56 in decreasing order.\nAnswer: 56, 38, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/60)\/(3\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 10. Let q(f) = -9*f. Let i be q(1). What is the remainder when u(i) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -303\/148 + 11\/37. What is the common denominator of -83\/22 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 3) in base 11?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 11}. What is prob of picking 3 p?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/18)\/(50\/(-150)))\/((-28)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -2. Suppose 0*j - 3*j = 12. Put j, u, 3 in increasing order.\nAnswer: j, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3563, 0, -3 in descending order.\nAnswer: 3563, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.01202\nAnswer: 0.002404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 + -18)\/(2\/(9 + 1)). Suppose 0 = -2*f - 3*i + 197, 99 + 397 = h*f + 4*i. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -1933?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*j**3 - 2*j**3 - 3*j**3 + 0*j**2 + j - 6*j**2 in the form v*j + h*j**3 + f*j**2 + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 166, 178, 202, 244, 310, 406, 538, 712?\n\"Answer: k**3 + 5*k + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2309550 divided by 46191.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0187 + -1.1187. Which is the third biggest value? (a) 0.1 (b) g (c) -2\/19 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 + 4.5. Which is the third biggest value? (a) -0.1 (b) -6\/11 (c) j (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/1132 and 29\/186?\nAnswer: 105276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 1. Let f be y(-1). Let s = 11 + f. Solve 4 = -s*p + 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026112 at most as big as 1026111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-35*k + 24*k - 30*k).\nAnswer: -123*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 80. Let j be (-13)\/(-5) - 2\/(-5). Suppose 0 = -5*f - 25, 4*c - 4*f - 13 = -j*f. Solve g*q + 8 = c*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3576 - 2013 = 0. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -473 + 508. Suppose -s*y = -29*y - 11082. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2*q**6\/15 + q**4\/3 - 2*q - 2. Let o(u) be the first derivative of f(u). What is the third derivative of o(k) wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 + (-14)\/63 + 0. Let v be (19 - u)*(7 - 8)*-1. Solve 20*l = v*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1333 + -1266. Calculate the remainder when 166 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 3*v**3 - 21*v**2 - v**3.\nAnswer: 2*v**3 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 118*t + 5*t**2 - 2*t**3 + 115*t - 7. Let b be d(-5). Solve 0*y = 3*y - 5*r - 2, -3*y + 2*r + b = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0582 + 2.0438. Let h = s + -1.019. Let u = h - -0.037. Round u to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2. Let v be a(-1). Suppose 48 = 7*r - v*r. Let f(l) = l**3 + 14*l**2 + 48*l + 94. Calculate the smallest common multiple of f(-10) and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 607*u + 53441. What is k(-78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 - -18626. What is k rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/8 - 37371*f**3\/8 + 115461927*f**2\/8 + 5744174631*f\/8 + 5513101269\/4 = 0. Calculate f.\nAnswer: -47, -2, 6253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(((-2)\/(-2))\/((-177)\/(-118))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 5*p**3 - 3*p - 3*p.\nAnswer: -5*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1357685, 1357696, 1357703, 1357706, 1357705?\n\"Answer: -2*a**2 + 17*a + 1357670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, 5, -568 in descending order.\nAnswer: 5, -1, -17, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*-3)\/(-3) - (-13560)\/(-12). Let v be 5\/(-7*7\/r). What is the highest common factor of v and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/2 - f**2 - 3*f. Let n be 8\/5*(-15)\/(-6). Suppose 2*t - 2 - n = 0. Determine w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from fffppfspsssf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n**2 + 9*n - 124 - 136 + 281. Let l be b(6). Let w(t) = -t**3 + 4*t + 3. Let g be w(-2). Solve -4*x - g*z - 1 = l, 2*x - z + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*s - 11*s + 3*s + 27 wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -16*w + 18. What are the prime factors of ((-16)\/w)\/(5 - (-2185)\/(-435))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/8 + (-1050)\/(-240). Solve -o*h = 4, 2*d + 2*h = 5*d + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 - 0.34. Let r(d) = -d**3 + 11*d**2 + 41*d + 14. Let v be r(14). What is the nearest to l in 5, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, -12, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/16)\/((-6)\/77666). Let i = 4845 - b. Let p = 3755\/8 - 470. What is the common denominator of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672777 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 11*u + 14. Let g be 115\/(-9) - (-2)\/(-9). Let j be b(g). Calculate the greatest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5707)\/1756)\/(2\/16)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3\/6 + 5*x**2\/2 + 3*x. What is the units digit of i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -694 - -496. Let q = y - -197.999859. Round q to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932*o**2 + o**3 - 329*o**2 - 313*o**2 - 8 - 311*o**2.\nAnswer: o**3 - 21*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614412?\nAnswer: 2, 3, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4\/2 + 127092*u**3 - 2692189833*u**2 + 5383998396*u - 5383871307\/2 = 0?\nAnswer: 1, 42363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 58\/15)\/(2\/9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 14, 52, 124, 242?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*18\/(-45) + 78\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44067 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + 1.87. Let v = h - 4. Let r = -1 - v. Which is the closest to 0.1? (a) 2\/5 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170801225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p + 8\/3*p**3 + 33 + 0*p**2 + 3*p**4 + 4\/5*p**5. Factor h(g).\nAnswer: 4*g**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -889, -1334, -1779, -2224, -2669?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00342 or -0.041885?\nAnswer: -0.041885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 2. Suppose -k + 0 + 2 = 0. Let v = 4 - k. Let h(f) = f**2 + 5*f - 5. Give v*h(q) - 5*b(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.402 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**3*t**(-2\/9)*t**(2\/9)\/t**(2\/5) assuming t is positive.\nAnswer: t**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003162 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037807 to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*a + 6533 = 6533 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 794 - 753.08. Let p = u - -0.58. Let g = p + -41.5000217. Round g to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17065 + 84884. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167\/5 - 35. Which is greater: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5217772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from lllccccllzlzcl?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l + 5*l - 16*l. Let i(m) be the first derivative of 2*m**2 - 1. Give i(v(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8630 by 5.\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32496865 to the power of 1\/2, to the nearest integer?\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6049 - m**2 + 6049 + 8*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 181*u + 3490. Let k be h(-21). Solve -k*l + 126*l + 4*j = 0, 4*l + 3 = j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018179, -2036335, -3054491, -4072647, -5090803, -6108959?\nAnswer: -7127115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -3 - -14 - -52) + 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 89*f - 26*f.\nAnswer: -110*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*p + 505, 2*p = -5*g - 29 + 620. Suppose -6*h + 240 = -4*h. Is g at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by -5?\nAnswer: -143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(121)\/(sqrt(22)\/sqrt(2))))\/(1*sqrt(81) - sqrt(1296)*1).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and 157.\nAnswer: -8007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*j - 12 - 25, -9 = -3*j - 2*x. Solve -2*p = j + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*l = 213*l + 2917400. Round l to the nearest one thousand.\nAnswer: 292000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389585596.\nAnswer: 2, 7, 19, 2612003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 8*o - 1758. Let w be m(0). Let g = -981 - w. What are the prime factors of g?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011265 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -43, -142, -323, -610?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-6) - -10 - -1655?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 20. Let m be r(-8). Sort 1, 0.5, -0.3, m in descending order.\nAnswer: m, 1, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-33)\/88.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -7*m**2 + 17\/6*m**3 + 0 - 6*m + 1\/12*m**4. Let t be p(-18). Calculate the greatest common factor of 40 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15300000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -283*f**2. Let p(t) = 26*t**2 + 546*t - 20*t**2 - 546*t. Give p(x(h)).\nAnswer: 480534*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/4 - 13*n**3\/3 - 13*n**2\/2 + 12*n - 4. Let m be z(-12). Suppose 2*c = -c + m. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 + 1\/1 + -1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 519 + -226. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o - 24. Calculate the remainder when y(5) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**6\/6 + 15*i**4\/4 - 14*i**2 - 58. What is the second derivative of v(a) wrt a?\nAnswer: -20*a**3 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1187 = -4*q + 3*q, 2*g - 4*q = 464. Let x = -170 + g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-738)*(297\/36)\/(-33).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + c - 25 - 6 = 0, 4*t + 3*c + 24 = 0. Let v(i) = -6*i + 2. Let l(b) = 24*b - 9. What is t*v(p) - 2*l(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 666 and 103119?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxc when three letters picked without replacement from xxxmcccccmcx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50118.\nAnswer: 2, 3, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(20*r + 10*r - 3*r) to c*r + h and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k + 9 + 0 + 19*k - 52*k + 18*k. Determine g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*m - 8972 = 1610. What is the remainder when 878 is divided by m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022656 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104858983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -160. Let a be ((-6)\/(-4))\/3*6. Suppose 7*l - j = a*l. Solve 4*y + 5*f + l = 0, -y - 3*f = -4*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139874 is divided by 771?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/(-65)*650\/(-4). Let h = b + -98. Solve 0 = 3*w - 4*m + 34 - 5, 0 = -4*w + 4*m - h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -4 - 0\/1. Suppose -g*b - 5 = 1. What is the tens digit of (-31)\/2*(-4 - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3056 = 2124. Suppose l = 2*h + 3*p - 0*p, -h + p + 523 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/(-8) + (-3)\/(-12). Let j = -11 - u. Suppose f - 5*f + 148 = j. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10)\/(-140)*(-2628)\/(-360)*70?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6935.345t?\nAnswer: 6935345000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3049.6 - -2898.\nAnswer: 5947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*q + 3*q = 1, 2*q = -4*x + 2. Suppose -2*p - x = -39. Suppose 0 = 5*o - p*o + 70. Solve 34 - 9 = -o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3 + r + 1 + 1 + 0*r. Let x be (1 + 9\/(-15))*10. Let m be t(x). Put -2, 2, m in ascending order.\nAnswer: -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 + v. Let q be -7*3\/15 + 174\/435. What is i(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 13846?\nAnswer: -13832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -34. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -109. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a - 4. Let j be b(3). Let q(f) = -f**3 + 5*f**2 + 46*f - 32. Let z be q(10). Let s be (-62)\/(-527) + z\/34. Sort s, 3, j, 2.\nAnswer: s, j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.5, 28\/13, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6023, 6029, 6035?\nAnswer: 6041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 140.7. Let s = n - 3.7. What is the nearest to s in 0, 2, 0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Suppose 5*w = -b + 7, 0 = -2*b + 3*b - w - 1. Suppose -3*m = 2*g + 3*g - 5, -4 = -b*m - 3*g. Let x(k) = -6*k**2 - 5*k. Give m*p(i) - x(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - o**2 - 3*o - 3. Let s(i) = -4*i**3 + i**2 + 4*i + 4. Let n(y) = -5*a(y) - 4*s(y). Let w be n(-1). Solve 3*d + 0*d + 12 = w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-5) + ((-6)\/3 - -7). Suppose 252 = -c*m + 16*m. Solve 0 = -5*i + 1 - m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 36977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5 - 9. Is 5\/6 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44832 + -29006313\/647. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011441 less than 190210002?\nAnswer: 190210001.988559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-214)\/8)\/(303 - 301) + 13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 35. Let f = k - 6. Solve -u = -4 + f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17 + 54 - 236*r - 49*r - 12*r. Is a(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m - 2*l - 84, -m - 3*l + 331 = 338 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u + 7852 = -15*u - 4*u + 80*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/10104 and -2\/8841.\nAnswer: 70728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 34*t**2 - 2*t + 2. Let k be d(8). Let n = 0 - 0. Suppose -2*y - y + k = n. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwbbwbbwbbwbbwbbbw. Give prob of picking 4 w.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/5 + 12*f**3 + 17049*f**2\/5 - 35466*f\/5 - 82008 = 0. Calculate f.\nAnswer: -67, -4, 6, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/((-12)\/(-40)). Suppose 0 = f*n + 5*v - 5657 - 4287, 0 = -v. Let h = -1741 + n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let h be x(-1). Let v(c) = c**2 + c. Let k be v(h). Let p = -69 - -71. Solve k = p*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 3, j: 2, g: 3, a: 1, o: 5}. Give prob of sequence ajo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871447916 + 871447916 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131553?\nAnswer: 7, 23, 31873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*u**2 - 12*u - 2*u**4 + 9*u**2 - 8*u**3 + 10*u**2 - 26*u**2 + 7*u**2.\nAnswer: -2*u*(u - 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/8)\/((-102)\/68) - 9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {y: 3, t: 1, n: 3, q: 2, z: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o + 41 = 503 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 10*f**3 - 3*f - 1 - f**2 + 10*f**3 in the form u*f**3 + z*f**2 + w + i*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 861015 and 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 14519969312.\nAnswer: -14519969311.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*t + 240*t. Solve 0 = -3*q - 5*m, 5*q + 2*m - 19 = -t*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 less than 0.01?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(-1)\/(14\/(-580)). Suppose -2*g = k - 872. Suppose 2*z = -h + 151, 5*h + g = 4*z - 4. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 13*z**2 + 56. Let c(w) be the first derivative of w**2\/2 + 20. Determine b(c(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2 + 0 - -56. Suppose 0 = -4*f + 23 - b. Let i = -7 - f. Solve -3*m - i - 9 = 4*g, -4*g = 2*m + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 - 2*x**4\/3 + x**3\/2 - 3*x**2 - 3*x + 4. What is b(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose -2*b + 7*b = a. Is (-57)\/(b\/(-1)) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b**2 - 6. Calculate the lowest common multiple of 8 and f(-4).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -906, -924, -896, -804, -630, -356?\n\"Answer: 3*n**3 + 5*n**2 - 54*n - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a22 (base 16) to base 11.\nAnswer: -94559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 31. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 - 2*g - 2. Let h be l(-3). Suppose 4*j = -2*v - j + h, -3*j = 5*v - 209. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6994 or 6992?\nAnswer: 6992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 8.982. Round x to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004975 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.077 - -0.177. Is b at most as big as 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06209 - -0.2156. What is b rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 12. Let y be o(8). Let j be y\/25*(-15)\/(-34). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -47, -61, -75, -89, -103?\n\"Answer: -14*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - ((-24)\/(-2))\/3. Let l(d) = -4*d - 49. Let j be l(b). Sort -1, j, 2 in decreasing order.\nAnswer: j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355672795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t\/((t**(-2\/21)*t)\/t) assuming t is positive.\nAnswer: t**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3)\/((-2)\/5). Suppose 0 = 5*j + 3*a - 3, 15 = -4*j - v*a + 7. Put 0, j, -13 in decreasing order.\nAnswer: j, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-288))\/(3\/(-9))*2\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/5 - 218*d**4\/5 - 12709*d**3\/5 - 88992*d**2\/5 - 6804*d + 105840 = 0 for d.\nAnswer: -105, -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -28*q - 1. Let f be w(-1). Suppose -u + 5*u - 43 = 5*r, 0 = -5*r - 4*u - f. Let g = 5 + r. Let j(a) = -a**2 + a + 2. Determine j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -19*k**2 + 36600*k - 11556 = 0.\nAnswer: 6\/19, 1926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*a - 497*a - 12435 = 15*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**2 + 5*s**2 + 12*s**2 + (-4*s + 5*s - 2*s)*(0 - s + 0).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.07. Let v = -3.13 - b. What is the nearest to 2\/5 in 0.2, v, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3*k - 8*k)*(-63*k + 26*k - 37*k).\nAnswer: 148*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1*(sqrt(640)*1 + sqrt(640)) - sqrt(640)))\/((sqrt(10) + sqrt(70)\/(sqrt(7) + sqrt(7) + sqrt(28)\/sqrt(4)))\/(sqrt(405)*2)))**2.\nAnswer: 8398080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = -13. Let l = 13 - v. Which is bigger: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmu when three letters picked without replacement from {m: 2, f: 9, u: 6}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.94 - -0.06. Let r = 0 - 5. What is the nearest to j in -4\/3, r, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/319 + 289\/3190. Let h be ((-2)\/(-8))\/((-3)\/(-2)). Let o = -179\/2 + 88. Which is the closest to 2\/3? (a) o (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 15 - 40)*(-4 + h + 4).\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 5*v. Let a be -2*(2\/4 - v). Determine l so that 2\/5*l**a - 2\/5 + 2\/5*l**2 - 2\/5*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2978099 rounded to one decimal place?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.6 - -12.2. Let u = f - 8.3. Let d = u + -0.3. Which is the nearest to d? (a) -0.1 (b) 0.2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 12*z**2 + z - 30. Let n be g(10). Suppose -14*t - n = -16*t. Calculate the highest common divisor of t and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -1338*n + 1342*n + 12, 2*n - 3*d = 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t + 0*t)*(-1 + t**2 + 1) + 15*t**2 + 10*t**2 + 238*t**3 - 27*t**2.\nAnswer: 239*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.764211 litres to millilitres.\nAnswer: 764.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 3*l = 15, 2*q + 10 = 2*l. Solve 0 = -2*w - w - q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 11. Let v(l) = -8*l - 43. Calculate -9*h(q) - 2*v(q).\nAnswer: -2*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = j - 2*m, -5*j + 71*m - 69*m = -2232. Calculate the highest common factor of j and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2180\/(-436))\/(((-8)\/252)\/((96\/45)\/4))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 (base 15) in base 16?\nAnswer: 4d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(22\/(-4)) - 26\/22. Let h be 70\/1*(16801 - (0 - n)). Suppose h = -6*r + 4*r. What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113, 100, 87, 74?\n\"Answer: -13*j + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.952113 to two dps.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083003879 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3884 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -5583 and -5582 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.2 (b) -5\/28 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1731 - -2821. Suppose -4 = -2*t, 0*t + t + f = 4*c. List the prime factors of c.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 35966 = 4*a, 4*a - 17*w = -21*w + 35972. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 133 = 34*c. Let l be c\/4 - ((-8)\/(-4) - 7). Let q(j) = j**3 + 7*j**2 + 5*j - 3. Let r be q(-6). What is the nearest to l in 0, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*i + 388 - 388 + 4*i - 2*i - i + (1 - 4 + 4)*(0*i + i + 0*i) + i - 6*i + 3*i - 2*i - 1 + 1.\nAnswer: -83*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 49*q + 4. Let s be o(-16). Let p be 1\/(s\/(-8) + 3). Solve 7 = -5*g + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1321923 millilitres in litres?\nAnswer: 0.0001321923","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"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: Let y = 39.4 + -39.4. What is the nearest to 2\/7 in 2, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103245 is divided by 102843?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -3.6. Suppose -2*k - 3*l = 2, 58*k - 56*k = -l + 2. Which is the third smallest value? (a) u (b) k (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 268 (b) -1\/3 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 46*r**2 + 54*r**2 + 766*r**2 - 31*r**2 - 3*r as y + v*r + u*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 + 172*m**2 - 1084*m - 2848 = 0. Calculate m.\nAnswer: -178, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/4, 3, 2, 1.4, -3 in decreasing order.\nAnswer: 3, 11\/4, 2, 1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159334183 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 5*m**3 - 27*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 73. Let i = x + -57. Put 2, i, -2 in descending order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6521175*c*g**3 + 18299*g**3 - 72 with respect to c.\nAnswer: 6521175*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191621 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14945.06 - -14945. Let l = -1098\/11 - -100. Sort d, 0.1, l.\nAnswer: d, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + g**2 - 3)*(-5*g**2 + g**2 + 5*g**2).\nAnswer: g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 2*k**2 + k - 1. Let j = 154 + -155. What is the remainder when j\/(-3)*(-212)\/(-4)*3 is divided by l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525, 1032, 1515, 1974, 2409, 2820?\nAnswer: 3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1147951*i. Let z(q) = -q**2. Calculate z(d(x)).\nAnswer: -1317791498401*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3\/j)*j**(-2\/9))\/(j\/j**5*j**(6\/5))*((j*j**(-1\/4))\/j**(-3))\/(((j*j**(-3\/8))\/j)\/(j*j**(-5))) assuming j is positive.\nAnswer: j**(613\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10386*c = -10156*c + 1840 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*q = 0, 4*i - 5*q = 6 - 3. Let d be ((-142355)\/i)\/((-3)\/(-168)). Let c = -7485940 - d. Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 9. Let j be (-2)\/c + 6\/(-9). Let a = j + 13. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54650?\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 82 = 5 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + x, 2*x + 0*x = 3*t - 10. Solve 2*p + 1 = -4*u + 3, -u = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*-3*(-5*(3 + sqrt(162)) + sqrt(162) + sqrt(162))**2.\nAnswer: 7290*sqrt(2) + 15147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1952 and 9\/1952.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:00 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/449 and ((21\/20)\/(-21))\/(1\/42).\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505067.\nAnswer: 3, 367, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1 - (2 + -2). Let n be (-9)\/2*48\/(m\/(-1)). Let j = -32 - n. What is the remainder when 40 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 2\/15, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-7\/3)\/((j**1\/j)\/((j*(j\/(j\/((j**1\/j)\/j))*j*j)\/j)\/j*j*j)) assuming j is positive.\nAnswer: j**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((-1536)\/15360)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 1015. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.346 + 0.346. Which is the closest to -3\/2? (a) 0.3 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110, -101, -80, -41, 22?\n\"Answer: k**3 + 2*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -63\/2. Put 1\/8, t, 2 in decreasing order.\nAnswer: 2, t, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15508 + (0 - 3))\/(2\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 330*f + 58*f + 69*f + 66*f + 64*f + 60*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:42 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, -0.1, -397?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1398 - -1398. Suppose -5*a = -z - 2*z + 45, 2*z - 3*a - 30 = 0. Solve x - 4*x - z = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430141849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177282 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -118*q + 4717. Let u be p(37). What is the greatest common factor of u and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4213 (base 5) to base 9\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**4 + 3377736*b**2 - 6644052*b.\nAnswer: 48*b**2 + 6755472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -61. Let h = j - -15. Is h - -3 - (2 - 630) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 38*i**2 - 2*i. Let r(a) = -a**2 - 4. Let u(d) = -13*d**2 - 8. Let v(o) = -2*r(o) + u(o). Calculate m(v(f)).\nAnswer: 4598*f**4 + 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2 - 15*s + 11 to b*s + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20475887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 4*z, 3*o + 4 = -z + 15. Let p(v) = 3*v**3 + v**2 + v. Let k be p(-1). Let s = 5 - k. Calculate the lowest common multiple of o and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*j = 5, 848 - 831 = z + 4*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23808 and 9000.\nAnswer: 8928000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 1, d: 2, h: 1, q: 2}. What is prob of sequence qgh?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/(-18)*(-84)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -195, -1497, -5029, -11907, -23247, -40165, -63777, -95199?\n\"Answer: -186*c**3 + c**2 - 3*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1148 and 43\/195620.\nAnswer: 56142940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 0*t)*(0*t + 0*t + 2*t**3) + 43*t**4 - 18*t**4 + 26*t**4.\nAnswer: 53*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*b = 29*b + 115*b + 13300 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 44165?\nAnswer: -44162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5413 is divided by 360?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 832781 divided by -644?\nAnswer: -832781\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Let v be 9 - 2*(9 - 6). Suppose 4*q + 2*t - 18 = 0, 0 = -v*q - 0*t - 5*t + 24. What is a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 2345 = -17*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 3\/8, -6\/13 in decreasing order.\nAnswer: 3\/8, -6\/13, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -37*v**2 - 26*v + 55. Let f(s) = -17*s**2 - 12*s + 27. Let b(y) = -9*f(y) + 4*j(y). What is the tens digit of b(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*m**3 + 1 + 6*m**3 - 1 + 27*m**3 - 31*m**3.\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -3. Suppose 4*l + 12 = 0, 5*l - 4*l = 4*m - 87. What is the remainder when m is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35330, -69456, -103582, -137708, -171834?\nAnswer: -205960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 31*c - 24*c - 19. Solve -5*y - 15 = 0, c*s - y = -48 + 47 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**5 - 4*f**5 - f + 3*f**5 wrt f.\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28, -5, -11, 2, 3 in descending order.\nAnswer: 28, 3, 2, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + d + 8, -3*r + d = -18 - 2. Suppose m - 11 = -3*m + 3*v, 0 = -4*m - 2*v + r. Solve -6 = -0*g + m*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**4 - 11107 - c**4 + c**4 + 13920 - 10504 - 83*c**2 + c wrt c?\nAnswer: 12*c**3 - 166*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k**3 + 3*k**2 - 2*k - 4. Let g(q) = -1. Let x(l) = -1. Let f(s) = 3*g(s) - 4*x(s). Let z(d) = -c(d) - 5*f(d). Is z(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/44 and 33\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 + -1 + 1. Let b(z) be the first derivative of -1 - 1\/2*z**4 + 1\/2*z**h + 0*z**3 + 0*z. What is the second derivative of b(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 13. Let m(i) = i - 1. Let w be m(4). Solve 0 = w*s + 5 + y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -71537, -62.\nAnswer: -71537, -62, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Let p(t) = 31*t**2 + 16*t - 34 + 10*t**2 - 4*t + t**3 + 27*t. Let o be p(-40). Calculate the highest common factor of o and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -7, -0.15, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2948\/120 + (-2)\/(-3). Let x = 155\/6 - b. Factor -1\/5*s**2 + 1\/5 + 3\/5*s - x*s**3.\nAnswer: -(s - 1)*(s + 1)*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**3 - 3*l**2 - l + 1. Suppose -2*w + 12 = -3*o, 2*o = -w + 9 - 10. Calculate j(o).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = -80. Let l be -4*4\/u*5. Suppose -2*p + 253 = -l*q, -3*p + p - 2*q + 260 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d. Let g(s) = -55*s - 25*s**2 + 74*s - 19*s. Determine g(r(m)).\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 62 = -28. Let n be (-575)\/p + (-2)\/12. Calculate the highest common factor of 171 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2718 = -4*z + b, 2 = -b. Let a be z*(1997 - (-6)\/2). What is a rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38328885*b**3 + 4824651*b**2 - b wrt b.\nAnswer: -229973310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 - 6*v**3)*((-26*v + 15*v + 14*v)*(2 - 6 + 3)*(0*v + 2*v - v) + 2*v**2 - v**2 - 2*v**2).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j + 4*y, -2*j - 4 = -4*j - 4*y. Let n be 3\/(-6) + 2\/j. Suppose 5*r - 3*w - 117 - 28 = n, r - 27 = w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -2*q - 13\/8*q**2 - 75 - 9\/16*q**3 - 1\/96*q**4. Solve w(z) = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31035 is divided by 10328.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/4 + 83\/28. Let w = 260 - 260.1. Which is the nearest to w? (a) o (b) -4 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 1684?\nAnswer: 1682.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6424 + 198555 + 59647 - 17688 = 1739*p for p.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x - 14. Let l be h(4). Let f(a) = -2*a + 24. Let r be f(l). Let k = -39 + 61. Solve 9 = -5*p - 1, -3*p - k = r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-15)*8 + (-3788216)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -45365461*a**2 - 2*a. Let b(u) = u. What is l(b(o))?\nAnswer: -45365461*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1782\/693)\/(-18))\/((-2)\/(-1204)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31436641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 18. Let y be k(-4). Let f be 5 + 7 - (y + 2). Let c = f + -18. Is -8 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 13*n + 6. Let q be h(-13). Suppose 14 = -2*x - 3*v - v, 3*x + v + q = 0. Let w = -2\/5 - 1\/10. Is w greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55451 (base 6) to base 13\nAnswer: -36a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -31, -110, -263, -514, -887, -1406, -2095?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 12 + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.804 and -2?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((101675\/(-166))\/245)\/((-54)\/(-12)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0 - (-3 + 6)) + 28. Solve -9*t + 5 = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*y)*(-1 - 1 - 1)*(7*y**2 + 4*y**2 - y**2) as f*y + g + w*y**3 + q*y**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 43*j + 7. Suppose g + g - 4*y = 10, 0 = 2*g - 3*y - 9. Let t be w(g). Let z = -61 + t. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q + 4*q - 6*q - 2*q - 4. Let j be t(3). Let l be (-2)\/(-5) + j\/(-10). Which is the second smallest value? (a) -0.1 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-318)\/(-8) - -9)*1\/(-10) and 91\/4 - (1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**2 + 36*l + 3. Let z be m(2). Let d(s) be the third derivative of s**4\/24 + s**3\/3 + s**2. Let k be d(-2). Put -3, z, k in increasing order.\nAnswer: -3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/13)*z)\/z*z**(1\/2)\/z)\/(z**2)**(11\/2) assuming z is positive.\nAnswer: z**(-251\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 26*y + 254. Calculate m(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92634 > 463177\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-119)\/(-14) - 7)\/(36\/22). Let w = 5\/4 - l. What is the closest to w in 1, 2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 14 - 2*s**3 - 10*s**4 - 13 + (-2*s**4 + s**4 + 2*s**4)*(3 + 3 - 2) - 8*s**4 + 20*s**4 - 3*s**4.\nAnswer: 3*s**4 - 3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11672 is divided by 1944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 15 (b) 1\/17 (c) 2 (d) 0.4 (e) 5 (f) -17519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(240)*-2*-5)\/(sqrt(180)*2).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + k**3 + 3*k**3 + (-5*k**2 + 4*k**2 + 2*k**2)*(-450*k + 448*k + 188*k) + k**3 + 0*k**3 + 2*k**3 as s*k**2 + x*k**3 + l*k + y and give x.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (1 + 21 - (-7 + 6)). Let x be ((-99)\/p)\/((-1)\/10). Let n = x - 44. What is the second biggest value in 2, -2, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(6\/19)*x)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2253, 4512, 6771, 9030, 11289?\nAnswer: 13548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9))**(-49)*(r**(-2\/35)\/r)\/r*r*r\/(((r**(-9\/4)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(55327\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1249\/16 + -78. Let a(x) be the second derivative of 0*x**3 - c*x**5 - 2*x + 0 + 0*x**2 + 1\/24*x**4. Let a(k) = 0. What is k?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.483012167 - -250.068030233. Let r = 44.5508234 - w. Let i = 206 + r. What is i rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 10*d + 6. Calculate p(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 27*g**2 + 34*g - 35. Calculate y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z**3 - z**2. Let f be b(-1). Let j be 14\/(-8) - 1\/4. Let m = j + 3. Solve m - f = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 527 - 2*n - 527 - 63*n**2 as o + l*n**2 + y*n and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 0*d + 5*d - 2)*(-7 - 1 + 7) + 3*d - 2 + 2 in the form f*d + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4938\/167 or -2\/3?\nAnswer: -4938\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100485713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 - -0.2. Let n = q - 0.55. Let o = 0.3 + -2.3. Which is the closest to 0.1? (a) o (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 28981?\nAnswer: 28981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750543705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezize. What is prob of sequence ieze?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3548 = 6*p. What are the prime factors of p?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 5*q**2 - q - 4. Let y be d(4). Suppose -5*h + 3*h = -y. Differentiate 0*c**4 + 5 - 2 + 3*c**h wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 336470166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 4*b - 159. Let n be ((-6)\/(-11))\/(18\/b). Solve 5*l = 10, n*l = -4*h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -556*k - 28399. Calculate s(-51).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 3276, 11286, 26944, 52800, 91404, 145306, 217056?\nAnswer: 309204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 764 + 864. Calculate the smallest common multiple of m and (0 + 3)*4\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 18*v**2 + 2*v + 22. Let b be o(-9). Suppose b*n - 10*n + 3498 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -696, 0, 8 in decreasing order.\nAnswer: 8, 0, -3, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -32\/119, 0.4, 3.\nAnswer: -32\/119, 0.2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = -k + 13, -5*k + 3*u + 29 = 0. Suppose -b = -3*n - 0*b + 129, 0 = -k*b + 12. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v - 111*v + 53*v - 20*f = -83, -7 = -v - f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:03 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((14\/(-10))\/1)\/(53\/(-265)). Let n(q) = -7 + 13 + j*q - 5 - 9 + q**2. Let x be n(-8). Solve -4*i + 2*v - 2 = x, 0*i - 5*i - 3*v - 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f*l**3 + 1154*f - 1675*l**3 - 2 wrt f.\nAnswer: -4*l**3 + 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.27505798 to two dps.\nAnswer: -20.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + y + 15, -y = 3*d + 2*y. Let m be (4\/d)\/((-16)\/(-80)). Suppose i + 0*i = -l + 31, i = m*l - 149. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 2*z**2 + 0*z)*(2 - 3 - 1) + 114 - 114 - 209472*z**2 + 84414*z**2 as f*z**2 + o*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4a5e21 (base 15) to base 4\nAnswer: -31212010132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*g - 183. Let j be 31274\/g + 1\/5. Does 6 divide 2\/8 - j\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 22*f. Suppose -3*n = -4*a + 3, -4*n - 4*a = n - 27. Suppose 2*l - n*l = -2, p + 5*l - 22 = 0. Solve 3*x = -f*x - p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 43. Let b(h) = -h**3 - 3*h**2 - 2*h + 2. Let f be b(m). Solve -1 - 3 = f*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -17 + (-8 - 0) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**4 + 36*s**3 + 80*s**2 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xslxlsxxszkxxsaxs. Give prob of picking 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 192222?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15234 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2490105 and 3.\nAnswer: 2490105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/19 or 2?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 600*p**3 + 3*p**2 + p - 143. Is w(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 17 = -4*v + 7, -5*v = -4*m - 4. Suppose -5*k + v*a = -0*a - 42, -3*k - 2*a = -12. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 8*z - 6. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -1\/3*m**3 + 0*m**2 - 4*m + 0. Let y(v) = 3*v. What is y(c(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 9232 + (74 - 66) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/67384 and -65\/75807.\nAnswer: 606456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Let s = -3.5 - r. Sort s, 5, 1\/10 in descending order.\nAnswer: 5, s, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -40. Let i = 21 - a. What is the greatest common divisor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/((-4)\/(-96)). Solve 3*a + 1 + g = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206052, -0.83, -0.2, 2\/7 in descending order.\nAnswer: 2\/7, -0.2, -0.83, -206052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 118, 264, 468?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48*(-24)\/64*-4*1\/3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 + (-2 - 0) - -3 - 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-12)*(-28368)\/108. Let w = 457 + -258. Let o(z) = l + z + 0*z - w. Give o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:03 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u + 120*u - 81*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p)\/p**(-2\/17)*(p*p**(2\/3)\/p*p)**(-3\/28)*((p**(-2)\/p)\/(((p*p\/(p\/((p**6\/p)\/p)*p))\/p*p)\/p*p))\/(p**1)**10 assuming p is positive.\nAnswer: p**(-42033\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - r = -180, 0 = 3*t - 2*r - r - 108. Let k be -140*t\/21*8*2500. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllppepellle. What is prob of sequence elll?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 - 4\/3*g**2 + 2\/9*g**3 - 38\/9*g.\nAnswer: 2*(g - 8)*(g - 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let y be 2 + 26\/2 + -3. Let o be (-1)\/3*y\/(-5). Which is the smallest value? (a) o (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z = 953*z + 15368 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*3\/(-3))\/(10\/(-25)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 27*b**2 - 52*b + 35. Let l be t(-11). Solve 6*s + 10 = -l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8647.6 to the nearest 100.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5424 + 20?\nAnswer: -5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28b2068 (base 12) to base 2.\nAnswer: -11111010000100011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6033806 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1044 + 2487 - 1139 - 1 - 1 + 3 + (-2 + 0 + 0)*(-2 + 3 - 2) - 2 + 0 + 3 - 1 - 1 + 4)*(3*p**2 + 2*p**2 - 6*p**2).\nAnswer: -310*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 428.9?\nAnswer: 3002.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*x + 18 - 86, 4*s - 4*x = 80. Suppose 13*i + s = 22*i. Calculate the smallest common multiple of 112 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/4865 and -77\/75060?\nAnswer: 525420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + (sqrt(225) - -2*sqrt(225))\/sqrt(5))\/sqrt(9))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, j: 1, r: 2, y: 1, i: 1}. Give prob of picking 1 j, 1 y, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-20)*(22 + (-381)\/18). What is the third smallest value in k, 68, 2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 + 388. Suppose 0 = -3*o - x*o + 48. Calculate the remainder when 30 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 13, 4, -4 in decreasing order.\nAnswer: 13, 4, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -51, -115, -205, -321, -463?\n\"Answer: -13*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1 + 2*c**3 - 5*c + 4*c + c**2 - c**3. Let i be z(1). Solve 0 = -i*g + 7*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -99*m + 102*m. Solve 4*w + c + 14 = 0, w - 1 = -2*w + m*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 1, o: 2, g: 2}. What is prob of picking 1 o, 1 g, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 + 10*v - 2. Let p be z(-10). Which is the smallest value? (a) 2\/9 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 5*l**6\/6 - 15*l**4\/4 - 10*l**3\/3 - 3. Solve k(p) = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*q + 4. Suppose y = -2*x + 6*x + 5, 3*y + x = 28. Suppose 0 = y*n - n + 7*n. Solve -3*l = -s - 6, -q = -2*s - n*s - l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + (11 - 64) - 47?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 19520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + 3*t + 297 = -3913 - 50. What is the remainder when 291 + -3*(-2)\/3 is divided by t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 230 = -5*b - 92 - 100, -6*f + f = -2*b + 25 - 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8222823 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3834212?\nAnswer: 19171060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 3 = 18*p. Let q(m) = 2*m**2 - 28*m + 18. What is q(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3664.334 kilograms?\nAnswer: 3664334000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eood when four letters picked without replacement from {o: 4, r: 1, d: 2, e: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g. Let x(k) = -k - 96. Determine y(x(f)).\nAnswer: 13*f + 1248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 + 48 - (-1 - -1) - 1) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 18\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 - x + 2\/3.\nAnswer: (x - 2)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = m, -4*m - 19 = f. Let u = -5 + 8. Let w = 36 - 106\/3. Which is the smallest value? (a) u (b) -0.5 (c) m (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let b(t) be the second derivative of -t**5\/60 + t**3\/2 + 3*t. Let h(v) be the second derivative of b(v). What is h(g(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-530)\/75 - -7)*2. Which is the third biggest value? (a) -0.014 (b) u (c) 2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*c + 168 - 152 = 0, 0 = 2*l + 5*c - 19. Solve -5*h - 3*j = -29, -41*j = 4*h - 44*j - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 6183.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoosoussuusuujosos. Give prob of sequence us.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose 4*m + f*q - 26 = 4*q, -5 = q. Solve 0 = 2*p + 6 - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 78 + 82. Let x = c + -10. What is the highest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3580 + -196?\nAnswer: -3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12550.2723 microseconds?\nAnswer: 0.00000014525778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 753 - 758. Sort 1, 1\/4, -13, g.\nAnswer: -13, g, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1528307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-6 + 12))*4. Suppose -46 = -4*s + 3*s. Suppose k*n + f = s, 2 + 8 = n + f. Calculate the remainder when 45 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - 30. Let i = c + 42. Let l = i - -47. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -25. Find the third derivative of -t**2 - 16*t**3 - 4*t - 6*t - 4*t**p + 3*t wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1 + 4 - 4*y + 11*y**2 - 1. Let g be w(2). Solve 4*p - 4*m - 24 = 0, -5*m + 12 - g = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15 = 3*n, 5*k - 2*n = -7 + 23. Factor -k*h**5 - h**5 - h - 6*h**4 + h - 3*h**3.\nAnswer: -3*h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let y(c) = -3*c**2 - 3. Let m(u) = -u**2. Let l(i) = j*y(i) + 6*m(i). What is the first derivative of l(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205, -408, -625, -862, -1125, -1420, -1753?\n\"Answer: -k**3 - k**2 - 193*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 950071*t**2\/2 + 225663001519*t\/2 - 2030890058649\/2.\nAnswer: (t - 475031)**2*(t - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*o + 5*u + 10, 0 = -4*o + 5*u + 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58394 is divided by 9727?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 4, a: 1, z: 3, l: 2}. What is prob of picking 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s - 54. Let v be m(-2). Suppose 3*r = 3*j + 6, 2*j = -j. What is the nearest to v in r, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 8:05 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 1, g: 1, o: 1, w: 1, p: 2}. What is prob of picking 1 w, 2 p, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/72 and 1\/(-5) - (-3472)\/4410.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 2 - (-1 + 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115994903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(242) + 4 + 2) - ((-1 + sqrt(242) + -3 + sqrt(242) + sqrt(242) + sqrt(242))*6)**2)*4.\nAnswer: -559752 + 50908*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4 + 19821*x**3 - 1138965*x**2 - 3674721*x + 4793868 = 0?\nAnswer: -4, 1, 61, 6549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -44 + (0 - 1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 10*r - 11. Let d(l) = l**2 + 2*l + 4. Let n be d(-4). Suppose -2*u = 5*b - 3*b - n, 57 = 5*b - 4*u. Let p be w(b). Is p <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23338383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 874774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**(-38)\/(b**(1\/5)*b\/(b\/b**(2\/5))*b))\/((b**(-1\/3))**18\/((b**(2\/15)\/b)\/(b\/b**(-1\/11)))) assuming b is positive.\nAnswer: b**(-2971\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 3)*(-1 + 2*d + 1)*(-1 + 1 + 2)*(-7 + 4 + 29)*(-2 + 0 + 0).\nAnswer: 624*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(36))\/(sqrt(24)\/sqrt(2)*6).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*l + 1932 = -2016, -5*v - 6580 = -2*l. Let q = -716 - v. Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2389*a + 4068 = 2502*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/162245 and 49\/2496.\nAnswer: 404963520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104409393 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -631, -947, -1263?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**9\/15120 - l**8\/1344 + l**7\/630 + l**4\/3 + 23*l. Let g(v) be the third derivative of m(v). Solve g(f) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 108 + 16 + 0*x - 257 + 31.\nAnswer: 10*x - 318","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/28270104 and 61\/18846736.\nAnswer: 56540208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-91) - 16\/14 - -2. Are 2\/47 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363213 divided by 1?\nAnswer: -363213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -3080a6?\nAnswer: -3080ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 131236344 and 16235424.\nAnswer: 1574836128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - 15*c - 27. Let l be a(-5). Let h = -46 + l. Solve 0 = h*t - 3 + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 24*q**2 - 40*q - 36. Give z(22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 2*w + 1. Let v(q) = 5*q**2 + 52*q + 6. Determine 3*a(r) - v(r).\nAnswer: r**2 - 58*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = h - 36 - 62, 212 = 2*h + 2*b. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2 + 3 + 0*j + 2\/3*j**3. Suppose s(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 2. What are the prime factors of 843*((-4)\/g + (-10)\/(-75))?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220\/3 - 70. Determine k, given that g*k + 10\/3*k**5 - 20\/3*k**3 + 4\/3*k**4 + 4\/3 - 8\/3*k**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 463 + 6601?\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3 - 10 - 18*z**2 + z**3 + z + 6. List the prime factors of f(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 - 75170*v - 18944408\/9 = 0. What is v?\nAnswer: -28, 338293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13992, 4, 31, -1, 27 in decreasing order.\nAnswer: 31, 27, 4, -1, -13992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -56 (b) 108 (c) -17 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0cc7 - 9b6?\nAnswer: b0311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*v + 325*v - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 2. Suppose 2*j - 2*s - 4 = 8, -4*j - s + 9 = 0. Let a(c) = 1 + 2*c + 0 - c**3 - 3*c + 4*c**j + c**2. What is a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/51048 and 79\/18.\nAnswer: 51048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*b - 5 = -3, 3*b - 4 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 60*g + 50. Determine k(37).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1588 + -4194?\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 30. Let g be h(-13). Solve 0 = -5*n - g*x - 25, -x = -3*n - 6*x - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 2*p + 2. Suppose 5*g - 10 = 0, -5*x + 7*g - 6*g + 53 = 0. Suppose -x*k + 90 = 7*k. Let n(s) = -7*s**2 + 5*s + 5. Give k*f(o) - 2*n(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 573317 + -7?\nAnswer: 573310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7638.8 + 0.4\nAnswer: 7639.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*f + 112 = 0, -1491*x = -1465*x - f + 162 - 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -32. Suppose -9*w + u*w = 28. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 4*w**2 - w + 5. Suppose 27*u - 18*u - 3114 = 0. Let d = u - 341. What is b(d)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 227893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789337.\nAnswer: 7, 684191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 3146.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -67.9999969. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-5)*4000\/(-2400)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.22 + 0.81. Let s = 144.97 + y. Let w = s - 148.138. Round w to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.845255 litres to millilitres.\nAnswer: 6845.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(16\/20 - (-217)\/(-140)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808202 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 281*m + 225*m)*(0*m**3 + 0*m**3 + 2*m**3) - m**4 + 0*m**4 + 3*m**4 as w*m + z*m**2 + s*m**3 + g*m**4 + p and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(7*o**2 - 6*o + 6*o)*(-2*o - 4*o + 7*o).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 24)*(-3)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/3, 7\/4, -394?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 18*z - 87. Suppose 9 = -3*r, -2*r - r - z = 5*w. Let i(o) = o + 2. What is i(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 289*f**3\/6 + 382*f**2 - f - 540. Differentiate v(j) wrt j.\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73884 divided by -6\nAnswer: 12314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h = 3*h + 5*t - 106 + 121, 3*h + 121*t - 244*t = -118*t + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1700)*2 - sqrt(1700))*1)**2 + ((sqrt(1700) - -1*sqrt(1700)) + sqrt(1700) + 0 - (sqrt(1700) + 5 + -1*sqrt(1700)))**2.\nAnswer: -400*sqrt(17) + 17050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 + -2 + 4. Let m be (1\/q)\/((-10)\/460). What is the smallest value in 0.1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426.45 - -6.55. Let n = o - 432.9609. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88016840 is divided by 1149?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 smaller than 9684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:24 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/6 + 2*t. Let x = 882 + -598. Let q(v) = 284*v - x*v + 13*v**2. Determine q(i(g)).\nAnswer: 52*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*v**3*x**2 - 2*v**3 + 198*v + 15*x**2 + 6*x - 1 wrt v?\nAnswer: -48*v**2*x**2 - 6*v**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1694, -2383, -3158, -4061, -5134, -6419, -7958?\n\"Answer: -7*c**3 - c**2 - 637*c - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 34710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let w(q) = 26*q. What is w(c(p))?\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (9\/3 - -114)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/360 + u**5\/90 - u**4\/72 - u**3\/9 + 7*u**2. Factor s(y).\nAnswer: (y - 1)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5637 + -4.2907. Let u = 0.027 + h. What is u rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(28)\/sqrt(4) + sqrt(175)*1 + 3 + sqrt(7) + 2*sqrt(7) + (6*3*sqrt(63))\/((sqrt(900) + sqrt(36))\/sqrt(4)))**2.\nAnswer: 126*sqrt(7) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3095*n**3 + 23070 with respect to n.\nAnswer: -9285*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5846*i**3 - 5842*i**3 + 548666 - 1097324 + 548658.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -c + 15, -4*f = -3*c + f + 35. Let i(r) = -2*r**3 - 5*r**2 - 3*r + 1. Let m be i(-3). Let d be 1 + -4 - (-95)\/m. Solve d*v - 4*v = -c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300) + -3) + (sqrt(300) - (sqrt(300) + 1 + sqrt(300) + -5)))**2.\nAnswer: -2280*sqrt(3) + 11161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005205796259 to 6 dps.\nAnswer: -0.005206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let s(k) be the first derivative of k**3\/6 - 2*k - 5. Let w(p) be the first derivative of s(p). Determine q(w(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3) + (-5460)\/90 + 40\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - 12*((-4540)\/(-9))\/(-10). Is 597 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 22, 52, 94, 148, 214?\n\"Answer: 6*y**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u\/((u*u**(-2\/115))\/u)*u)*u)\/(u**(-1\/12)*u)*u\/(u\/(((u*u**(-10\/7)\/u*u)\/u)\/u))*u\/((u\/u**30*u)\/u) assuming u is positive.\nAnswer: u**(257317\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88540 or 88419?\nAnswer: 88419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9355\/383 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73632 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/(w\/((w\/w**(-2\/35))\/w)))**(-35)*((w**3)**(-12\/7))**44 assuming w is positive.\nAnswer: w**(1097\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 49 = -5*o, -1320*x - 2*o - 43 = -1327*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*r + 2*r - 2*r**5) + 5*r - 5*r - r**5 + (-r - 4*r + 3*r)*(r**4 + 0*r**3 + 0*r**3) - 2*r**5 + 2 - 2.\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 583838491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61283.\nAnswer: 61283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**7\/21 + 5*j**3\/6 - 5*j - 7. Let n(k) be the first derivative of l(k). What is the second derivative of n(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, 2, 5 in descending order.\nAnswer: 21, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 17*w**3\/2 + 180*w**2 + 7183*w. What is v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(24) + sqrt(24) + -4*sqrt(192)\/sqrt(8) + sqrt(24))\/(sqrt(800)*2 + sqrt(800) + (sqrt(8) - sqrt(512)*1) + sqrt(8)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 156 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-42))\/(((-18)\/(-8))\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*t**3 + 63*t**3 - 345*t**3 + 67*t**3 + 70*t**3 + 75*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7 = 2. Let h = 3 - -1. Sort p, -1, h in increasing order.\nAnswer: -1, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010100 (base 2) to base 7\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 22 - 1*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 1:34 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25377 + -25233. Let w be 16*(1 + 0\/(-2)). Calculate the greatest common factor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243) + -3)*6 + (sqrt(243) - ((sqrt(243) + (sqrt(243) - -2*sqrt(243)) + -5 - sqrt(243)) + sqrt(243)) - sqrt(243)) + 5)**2.\nAnswer: -504*sqrt(3) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-3))\/(-8))\/1*223\/(-446)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 2*p + 2. Let d be c(3). Is -2\/33 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**2 - 20*b + 16. Determine z(-7).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*w**3 - 4761*w**3 + 245*w**3.\nAnswer: -5343*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40254616 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 95*u - 132. Let n(y) = -19*y + 26. Let i(t) = -11*n(t) - 2*p(t). What is the units digit of i(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - x)*(-2*x**2 + 2*x**2 + x**3)*(744*x + 1180 + 751*x - 1492*x).\nAnswer: 3*x**5 + 1180*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-120)*(8448\/(-11264))\/((-2)\/(-12)).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 72*o + 671. What is the hundreds digit of u(-61)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 - (-6 + 5))) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**4*c*q - 3*b*c**3 + b*c**2*q - 2*c**3*q + 2*c*q - 21*c wrt b?\nAnswer: 8*b**3*c*q - 3*c**3 + c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4993, 19968, 44927, 79870?\nAnswer: 124797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*a, 0 = 3*f + 18601*a - 18594*a - 107 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*p + 45. Calculate the remainder when (-2)\/((-30)\/(-95)*(-3)\/27) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.3, 5, 212, 7\/3, 22 in ascending order.\nAnswer: -2\/3, -0.3, 7\/3, 5, 22, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 9980*b**2 + 201600*b.\nAnswer: -5*b*(b - 2016)*(b + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 9 + (7 - 13). Sort c, 3, 10, 4 in increasing order.\nAnswer: c, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3 + 3 - 2*x**2. Suppose 5*v + 9 = -3*q + 4, 4*v - 18 = 2*q. Let y(h) = -2*h**2 + 2*h**2 - h**2 + v*h**2. Calculate y(z(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/2 + 48*a - 384 = 0. What is a?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -263273 divided by -4?\nAnswer: 263273\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(48\/(-9))*((-1204688)\/86)\/103.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1912 and 3263306?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 312025878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-1)*s)\/s)**(-6\/5))**38 assuming s is positive.\nAnswer: s**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-7)\/(-3))\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182763.139 + -182681. Let j = -0.139 + o. Let n = 81.998 - j. What is n rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 59895\nAnswer: 1\/11979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:46 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 204748553, 409497108, 614245663, 818994218?\n\"Answer: 204748555*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109293419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**(-9\/2)*v\/v**(-9\/4)*(((v*v**3*v)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35066*p - 27*p**2 - 70063*p - 9482 + 35075*p with respect to p.\nAnswer: -54*p + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -58 - (-38 - -76)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -21, -24, -29, -36, -45, -56?\n\"Answer: -v**2 + 2*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and -14\/1205.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 8*d - 2*d. Let u = 13 - 10. Let o(h) = -u*h - 3*h + 0*h + 8*h. Determine o(p(z)).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6833 and -24.\nAnswer: -163992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-326860.\nAnswer: -32686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 49559450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32497\/8 + -4062. What is the second biggest value in -5, -0.62, 0.7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1*(-7)\/(-14). Let p(v) be the second derivative of -3\/2*v**3 + 0*v**4 + x*v**2 + 0 + 9\/20*v**5 + 3*v. Find the second derivative of p(q) wrt q.\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*5458\/4*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 13 - 0)*-58 - 5. What is the greatest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145405783 times 0.3\nAnswer: -43621734.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(-72)\/(-9)*1\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -6, -107, 2\/15, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l - 11 - 25\/2*l**3 + 13\/4*l**4 - 1\/20*l**5 - 15*l**2. Suppose o(y) = 0. Calculate y.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8\/7, 21351 in decreasing order.\nAnswer: 21351, 5, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u. Let k(c) = 84*c**2 - 169*c**2 + 100*c**2. Determine k(m(w)).\nAnswer: 7935*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65426 greater than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*r - 3 = 32, 0 = 4*r - 20. Let c(w) = w**3 + 3*w**2 - 2*w - 2. Let q be c(j). Solve 0 = -4*b - 0*b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172914 divided by -21?\nAnswer: -8234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 + 7*i + 1. Let u be v(-7). Let c(k) = 3*k**3 + k - 1. Let d be c(u). List the prime factors of (-3)\/9*-14*d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 632. Suppose 0*u + z = 4*u + 170, -4*u = 5*z + r. Let n = -28 - u. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j**4 - 2415231732*j**3 + 81018669490674938*j**2\/3 + 12002766208282472*j + 1333640703061464 = 0 for j.\nAnswer: -2\/9, 22363257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.058 - 156.058. Let x = -155.9999891 - j. Round x to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from mpymhyupyyuhm?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 s when three letters picked without replacement from fahsy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 + 0.2800022. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -28, 7, 2, 2\/13, 0.4 in decreasing order.\nAnswer: 7, 2, 0.4, 1\/3, 2\/13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 94*i - 2. Let a be k(3). Let x = a + -198. Let p = x - 42. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 + 22130106?\nAnswer: 22130011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**4)**(-14)*(a*(a\/(a*a**(-13)))\/a)\/a**0 assuming a is positive.\nAnswer: a**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.4315792 + 676.0715942. Let l = g - 661.64. Let k = -3 + l. Round k to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 296628?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjjdd. What is prob of picking 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (40 - (-12 + 49)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286 - 203. Calculate the remainder when w is divided by 5\/1 - (-7 - -13 - 22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 - 0) - 5) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39322800 by -5.\nAnswer: -7864560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3 - 0. Suppose w*y = -y. Suppose y = v - 2*v + 84. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2990 and 2470.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 - -4.3. Which is the nearest to o? (a) 4 (b) -3\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*u + 6, 21 = 4*y + 5*u + 53. Let a be (68\/(-20) - y)*-20. Let r be -2*(-3 + 4\/a). Solve r*t - 9 = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -691 - -1062. Let n = -367 + v. What is the smallest common multiple of 16\/(-2)*(-18)\/8 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 115\/(-35) + 2\/7. Let j(l) = -12*l - 30*l - 20*l - 1. Is j(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - a5896?\nAnswer: -a5890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 21\/(2079\/(-44))*15*(-18)\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -12*g**3 + 66044*g**2 + 220312*g - 176224 = 0.\nAnswer: -4, 2\/3, 5507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from sypunuypppuppuuyyupp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 135*z + 4390. Let o be u(46). What is o rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - u + 3. Let o be x(7). Let s be (0 + -1)*(o + -3). Solve -r + 0*z + s = 5*z, 5*r - 14 = -4*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21987\/2 + 11293. Let z = 251 - v. Find the common denominator of z and -14\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 2, h: 1, l: 1, b: 2, v: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(3328))\/sqrt(4).\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 1100*t\/7 + 126096.\nAnswer: -2*(t - 994)*(t + 444)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48, -1\/2, -9\/8, 0.7 in decreasing order.\nAnswer: 48, 0.7, 0, -1\/2, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 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: Solve -5*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13014.83 + 13015.05000044. Let l = 16 + -15.78. Let u = l - d. What is u rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 23667163.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222201231 (base 4) in base 5?\nAnswer: -221214441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc48a + 1?\nAnswer: cc48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 11. Let f be s(14). Let g be 1\/7*-7*-1. Which is the third biggest value? (a) 3 (b) f (c) -1.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 37\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10482 and 76868.\nAnswer: 230604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) + 1268\/15. Let h = -159 - -74. Let f = h + i. What is the nearest to -2 in -1\/6, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -0.1052698?\nAnswer: -0.1052698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 261?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)**(-7\/3))**(2\/63)\/(i**(2\/7)*i*i**0*i*i*i*(i**0)**31) assuming i is positive.\nAnswer: i**(-796\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30733 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92\/5 - -19. Let i = -1 - -3. Let f = i - 2. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(35)\/sqrt(5)))\/(-2*sqrt(160)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 2*i - 2. Let n be z(4). Let a(b) = n*b - 43*b + 4 - 4. Let g(h) = -h. Give a(g(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(243) - ((0 + sqrt(243) - sqrt(243)) + 3)) + (sqrt(243)*2)**2 + 0 + sqrt(243)) + (-4 + -2 + sqrt(243) + sqrt(243) - 4*(-1 + sqrt(243)))**2.\nAnswer: 180*sqrt(3) + 6790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-1 - 1\/(-4)). Let m = 0.6 - 0.1. Let o = 1.241 - 1.441. What is the closest to 0.1 in m, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100.097 - -0.097. Let c = -100.082 - t. Round c to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204061913.\nAnswer: 17, 306121289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*(-1212)\/(-2424).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82410.28um to millimeters.\nAnswer: 82.41028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/5, 11, -2, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 554 + -1400?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-561)\/306 - (15 + (-1 - 2))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/f**(-2\/41))**28 assuming f is positive.\nAnswer: f**(4648\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Suppose -m + d - 4 = -10, -2*m - 16 = z*d. Suppose -7*v + 50 = -m*v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*3\/(-36)*4. Let s = -6\/47 - -171\/235. Which is the second smallest value? (a) 5\/4 (b) -2\/3 (c) z (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 577 + -617?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1130*k + 9 - 1224*k - 19 + 8 + 0 in the form y*k + o and give y.\nAnswer: -2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 = 2*y, -2*y - 2*y + 18 = -2*i. Let s = -6 - -6.3. Let q = s - 0.1. Are i and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158322*i**5 + 1368*i - 1?\nAnswer: -3166440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*o - 68 = -266, -b + 72 = b - 2*b + 18*o for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*j - j - 21 = 0, -5*j - 3 = 4*s. Let q be s\/(0 + -3) - 7. Let u = -1 - q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302 (base 12) to base 14.\nAnswer: 15bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 3*p - 5*r, 17*p - 35*r = -37*r + 302 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(2\/(-16)*-16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 836963 - 836962.96000152. Let h = -0.04 + d. Round h to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 17*f**2 + 38*f - 21. Is m(15) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37 + -42)\/((-5)\/35). Which is greater: -0.6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(2\/(-30)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2289 + -219763\/96. Calculate the common denominator of z and -29\/84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19 - 11*b - 20*b + 63*b. Let f be s(5). Let t = f - 76. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575.6234 + 562.62. Let n = 13.1 - 0.1. Let c = o + n. Round c to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)**(-2\/25))**31)**31 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 - 3*u + 2. Let z be (12 - 9)\/(0 + 1). Let l be p(z). Let d = 0.233 - 0.033. Which is the third smallest value? (a) d (b) l (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129216?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 1. Let y(d) = -7*d + 2. Suppose -35 = -2*s - 29. Let n be -3*(5 - s\/(-18)*-22). Calculate n*y(k) + 9*l(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*2\/1 + 43?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) - (-28)\/10. Let f be (6\/(-15))\/((-2)\/10). Let i = f + l. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 55 = -9*d. Let l = d - -29. Suppose 3 = -5*w + l. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19329.\nAnswer: 3, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*x + 155*x + 138*x)*(-1 + 2*x + 3 + 0) to p + o*x**2 + i*x and give i.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**2 + 4*m - 16*m**2 + 3*m)*(-6*m - 2*m + m)*(2 - 2 + m).\nAnswer: 14*m**4 - 49*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3824 and 157\/40320?\nAnswer: 9636480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 - 7 = 0. Let a be ((-6)\/18)\/((-1)\/12). Let z = a + b. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442864657 a multiple of 1283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370030 = -313*f - 358762 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/72)\/(9065\/(-666))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 4*l**2 - 5*l**2)*(3 + 0 + 2) + 28*l + 115*l**2 - 28*l - l**2 - 5*l**2 - 4*l**2.\nAnswer: 115*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196)*-2 - sqrt(196))\/sqrt(7))\/sqrt(1296))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181990 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15.3. Let h = -0.05 - 4.95. What is the nearest to -0.2 in h, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 103?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329678178 is divided by 4030?\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1022, -1\/9 in ascending order.\nAnswer: -1022, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936022887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = z + 3*g + 35, 4*g = -4. Suppose w - 4*o + z = 3*w, -2*w + 198 = -4*o. Calculate the highest common divisor of 38 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:51 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**4\/4 - p**3\/3 - 9772. Let s(n) = n**3. Suppose -r - r = -2. Let i = -2 + r. What is i*j(t) - 2*s(t)?\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -1.4. Let v = -22 + 12. Let q = v - -14. Which is the second smallest value? (a) q (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -9*x + 10, 3*q - 3*x - 9 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300232123 (base 4) to base 2.\nAnswer: 1110000101110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104199 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 23 + 193*p + 34*p**3 - 73*p - 57*p - 61*p + 0*p**2 in the form b + v*p + a*p**2 + o*p**3 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3523, 3573, 3657, 3775?\n\"Answer: 17*x**2 - x + 3507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -73\/14, -0.2, 227 in descending order.\nAnswer: 227, 3, -0.2, -73\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*q - 5*q**2 - 2 + 28*q + q**3 + 24*q + 23*q as t*q + l*q**2 + j*q**3 + r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 12*u**2 - 43*u - 6. Let v be k(-6). Solve 36 = v*l - 72 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = s - 26181, 5*s - 4*k - 145033 = -14176. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18431 is divided by 384.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12198 + 12200. Let a = 51 - 50.77. Let k = a + -13.23. What is the closest to -1 in 0, n, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 9) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3802977, -7605955, -11408933, -15211911, -19014889?\nAnswer: -22817867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -624.8 - -624.794659. What is t rounded to 4 decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7077 - -0.0623. Let p = 2.37 - u. What is the nearest to 0.2 in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6 + 7?\nAnswer: 1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 230 = 6*m + 111 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 3*p**2 - 8*p + 10. Let a(m) = -5*m. Let x be a(-1). Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + (sqrt(605) + 2*sqrt(605) + sqrt(605))*2)) + sqrt(605) + 3)*4.\nAnswer: -308*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*u + 55*u - 126. Calculate the remainder when 33 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198483749*c**3 - 2*c**2 - 239*c - 5762 wrt c?\nAnswer: 1190902494*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 446 (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m + 18 = 37*m - 3*k, 3*m + 10*k = 29*k - 2885 + 3028 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 + 1109 = 23*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: Put -5, -2, 14, 3\/26 in decreasing order.\nAnswer: 14, 3\/26, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*x + 5*x. Let n(p) = p**2 + 2*p - 224. Let d be n(x). Let v = d + 315. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25650 - -89309. Suppose -2*m - 254654 = -4*y + m, 0 = -y + 3*m + g. Suppose 0 = w + y + 756335. What is w rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c06ad (base 14) in base 8?\nAnswer: 3641321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, g: 1, f: 1, k: 2, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16497 by -39.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnndd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 26 = -6*u - 10, 4*u + 5*b = 13. Solve -4*f + 2*s = -6, u*s + 3*s + 27 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4 - 2, 3*t - 5*k = -2. Let f(b) = b**3 + 5*b**2 + 2*b + 4. Let o be f(-5). Sort o, 5, 4, t in decreasing order.\nAnswer: 5, 4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -4, 24 in descending order.\nAnswer: 24, 14, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-18) + (-56)\/(-126)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from kcdudjcj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 102. Let u be (d\/7)\/(36\/(-126)). Solve 0*m + n = 2*m + 1, 3*m + u = 5*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160 - -160. Suppose w + 4*f = -t*w + 557, 0 = w - f - 557. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 45*v**2 + 2*v + 1. Is 9 a factor of t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 88500483 and -0.2485.\nAnswer: 88500482.7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 156948 divided by 14268\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*b = -438 - 1399 + 241 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 1, q: 1}. Give prob of picking 2 p and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964640495?\nAnswer: 3, 5, 4021, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 5541153 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n**2 - 228*n**2 + 51*n**2 + 36*n**3 + 356*n**3 + 34*n**2.\nAnswer: 392*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -36*i - 252 - 586 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5*sqrt(33)\/sqrt(3) - -1*sqrt(99))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 43, 146, 353, 700, 1223, 1958?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 26*k**2 - 36*k + 387. Does 34 divide i(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -72*b - 21. Calculate o(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**5 - 3*i**4 - 124*i**3 - 117*i**2. Let f(t) = -8*t**5 + 20*t**4 + 868*t**3 + 820*t**2. Let w(g) = 3*f(g) + 20*k(g). Find o, given that w(o) = 0.\nAnswer: -5, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5037*k + 2923 wrt k.\nAnswer: 5037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q - 287 + 287)*(-5*q**4 + 4*q**4 + 2*q**4) - q**5 - q**5 + 0*q**5.\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z + 120 = -43*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/3 - 328*q**3\/5 - 2584*q**2\/5 - 17344*q\/15 - 384 = 0 for q.\nAnswer: -90, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 2:44 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100*(-525)\/30000)\/((-119)\/(-2)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -410 - -1017. Let k = a - 193. What are the prime factors of k?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 19 + 2)*(j**3 + j**2 - j**2).\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101133111 (base 4) to base 16.\nAnswer: -117d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3328) + sqrt(3328))\/sqrt(4).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/54*(10 - -2) + (-236)\/(-39).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 2*p**2 + 3*p + 3. Let q(m) = 5*m**3 + 4*m**2 - 7*m - 12. Let n(y) = -6*i(y) - q(y). Determine n(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/73 - -69\/146. Put -7\/5, u, -5 in increasing order.\nAnswer: -5, -7\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.046324\nAnswer: 0.092648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015665894 rounded to seven decimal places?\nAnswer: 0.0001567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 338854692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -53*t**2 + 16*t - 10. Let a(p) = -2*p**2 - 3*p + 2. Calculate 5*a(s) + n(s).\nAnswer: -63*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y + 2. Let s be 7\/(y*(-3)\/(-6)). Let m = -8 + s. Solve -2*w + 4 = -m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -339.1 - 2.9. Let a = w - -341. What is the closest to -0.01 in -2\/7, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/20 + c**4\/12 + 3*c**2\/2 + 9*c. Give u(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - -4. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647174 is divided by 1227.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (1*sqrt(65) + sqrt(65) + sqrt(65))*1)\/((sqrt(10)*-1)\/sqrt(2)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 5*w + 6 = -3*i + 2. Suppose 0 = v - i - 1. Which is the nearest to -2\/3? (a) -5 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**16))\/t**(3\/13)*(t\/t**(-3))\/t**(-10\/13) assuming t is positive.\nAnswer: t**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 705583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60716656 divided by -15179164?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-820)\/210 + 4\/(-42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 3*h - 3. Let n = -7 - -12. Suppose n*s - 19 = -0*s - 3*o, 4*s - 5*o - 30 = 0. Let z(u) = 4*u**2 - 4*u - 4. Calculate s*r(f) - 4*z(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 753461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*m - 1851 + 307, 0 = -j - 2. Let q = m + 1243\/4. Suppose 3\/4*h**3 + 3*h**2 - q*h - 3 = 0. Calculate h.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 118 = -3*u + 3*y, 2*u - 5*y - 32 = 0. Let t = u + -9. Solve 4 = -2*d, 5*m - 4*d - t = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - 0) - (17 + -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**13*u*u)\/u)\/(u**30*u)*(u\/u**(1\/10))\/(u\/((u\/(u*u**(15\/4)))\/u)) assuming u is positive.\nAnswer: u**(-397\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083035 is divided by 8384.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -0*m, -4*i + 39 = 5*m. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q = 110*q - 132 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 1812814.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -458 - -545.4. Let z = -89 + n. Sort 1\/5, z, -3\/7 in decreasing order.\nAnswer: 1\/5, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 2*v. Let i be n(-3). Let c = 199 + -188. Let d = i - c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 402*q + 60. Does 15 divide w(-110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*w - 73, -w = 4*f - 0*w - 71. Suppose -66*b - r = -69*b + 252, 2*b - 167 = r. What is the highest common divisor of b and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 1, t: 2, i: 2, h: 3}. Give prob of sequence vhvh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 25*y - 30. Is j(30) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017303 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5369 and 1001?\nAnswer: 59059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 z when three letters picked without replacement from {e: 1, z: 1, w: 2, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -46*v**4 + 96*v**4 + 0 + 0 + 2*v**2 - 52*v**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1915 (base 13) to base 2.\nAnswer: 111010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10960\/25 + 2\/(-5). Let w(c) = -33*c - 11. Let n be w(-8). Let b = g - n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*p + 5*u, 63*p - 59*p - 2*u - 24 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 9. Suppose -28 = -4*a - 16. Let c(y) = y - 4. Give a*s(q) - 7*c(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 20, 26, 32?\n\"Answer: 6*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -8439, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -3*f + 3\/10*f**5 + 0*f**3 - 20*f**2 + 0 + 0*f**4. Let b(o) = -8*o**2. Determine h(b(s)).\nAnswer: 1152*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 24. Let m be g(12). Let i be m + 0\/(-3 + 0). Solve i = -o - c - 2*c + 4, -5*o + 5*c + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 371, 388, 423, 482, 571?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-730)\/2856 + (-1)\/(-4). Let n = 49374 - 49377. Put n, r, -5\/3 in increasing order.\nAnswer: n, -5\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43647 is divided by 326?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*s + 38, -4*s + 10 = -9*s. Let a(v) = 4*v + 0 - d*v + 1 + v. Give a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1688003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1122 + 684. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 765\/111 + -14*((-99)\/(-18) + -12 + 7).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + -7) - (23 - (20 - 19))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*d - 2*d + d**2 + 4 + (d + d - 3*d)*(2 - 2 + 2*d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 375927 and -1931475574.\nAnswer: -1931099647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 420*z - 6300. Let f be w(15). Solve f = -11*h + 18*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/9)\/m**(-2\/15)*m**(-6)*(m*m\/m**(-4)*m)\/m assuming m is positive.\nAnswer: m**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 9 - 7)*(0 - 2 + 1)*(0*c - 3*c + c) to the form b*c + h and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1800.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*o + 0*o - 2*o**2)*(4*o - 4*o - o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let j be 1\/a + 50\/66. Let u = j + -13\/22. Sort 0.4, u, -3 in descending order.\nAnswer: u, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27064*o - 44 = -27075*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -125.058. Which is the smallest value? (a) -2 (b) 0.3 (c) -3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012629171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30104, 5, 0.06, 1, -4, 0.01.\nAnswer: -4, 0.01, 0.06, 1, 5, 30104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + 20 - ((13 - 4) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 10*l + 13. Let z be f(9). Let o(w) = -w + 7. Let m be o(4). Find the second derivative of 3*u + 9*u + m*u**z - 4*u wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535488289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2209*w - 5*w**3 - 2209*w.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 4. Let a be n(-9). Let m = a + 13. Let v(g) be the first derivative of 2*g**3 + 4*g**2 - 1. Let h(f) = -4*f**2 - 5*f. Calculate m*h(j) + 5*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpp when three letters picked without replacement from topigppiposoospopspg?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-2)\/sqrt(3) + -5 + sqrt(14)\/sqrt(2) + -4)**2.\nAnswer: 198*sqrt(7) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdd. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i*o**2*r**3 - i*o**2*r**2 + i*o*r**3*w - 563*i*o*r**3 - 2*i*o*r**2*w + 7*i*r**2 - 13*o**2*r*w + 2*o*r*w wrt r?\nAnswer: 36*i*o**2 + 6*i*o*w - 3378*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 2*n + 3. What is u(3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 45*a**2 + 17*a + 140. List the prime factors of d(-48).\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Suppose -8*d - 33 = -11*d. Let v = 30 + -22. Let w(b) = v*b**2 + d*b**2 - 21*b**2. What is q(w(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020830.\nAnswer: 2, 5, 31, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/43 and ((-118)\/(-215))\/(44\/44)*5\/(-12).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -4, 3, 0.5, 1294, -4\/15 in ascending order.\nAnswer: -4, -4\/15, 0.5, 4\/5, 3, 1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + -0.02. Round k to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009242605.\nAnswer: 3, 5, 133949507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, c: 1, v: 2, f: 1, z: 1, l: 5}. What is prob of picking 1 f and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -0.1, -0.3, 150\/851, 13 in increasing order.\nAnswer: -4, -0.3, -0.1, 150\/851, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 353912 and 7216?\nAnswer: 7786064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -1142, -3861, -9154, -17879?\n\"Answer: -143*s**3 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - 86\/(-18). Suppose -y*d - 28 = -3*t, d = -3*t - 2*d - 12. Suppose 5*j = 7*j - 4. Calculate the least common multiple of t and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*n - 60*n + 138*n - 558*n**3.\nAnswer: -558*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 26*w**2 - 4. Let x(c) = 11*c. Determine p(x(i)).\nAnswer: 3146*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/23 + (-228)\/552.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - 2*x**2 - x - 2. Let q(s) = 16*s**3 - 11*s**2 - 4*s - 11. Let v = 1 - -1. Calculate v*q(u) - 11*c(u).\nAnswer: -u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 7188*c - 21582 = 0?\nAnswer: -3597, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*m**3 + b*m + 907666*b - 55791691*m**4 - 159*m**2 wrt m.\nAnswer: -12*b - 1339000584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 38*p - 277 + 38*p.\nAnswer: -6*p**2 - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346470?\nAnswer: 2, 3, 5, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -v + 16, -2*v - 261 = 6*r - 131 - 156 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*35\/70*(-114052)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(16\/(-12))*1. Let z(p) = 2*p**3 + 4*p**2 - 2*p. Let s be z(a). Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(1300) + sqrt(1300))**2*-2.\nAnswer: -10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5, -19, -4, 221, 0 in ascending order.\nAnswer: -33, -19, -5, -4, 0, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15*h + 2 + 1 + 58*h - 6. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 26*d + 115 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2346438045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -439, -1641, -3629, -6391, -9915, -14189?\n\"Answer: 2*g**3 - 405*g**2 - g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/5 (b) 1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21356 and 4.\nAnswer: -21352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 2*v**3\/3 + 36*v**2 + 648*v - 14. Factor b(s).\nAnswer: 2*(s + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) 1 (c) 75 (d) -3 (e) -0.5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-80))\/((-83)\/3652))\/(-1)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000686250345 rounded to five decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -8) + (24 - 52) + 2 + 23\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 + 3*v - 1. Let g(r) = 33*r**2 + 141*r + 390. Let m(q) = -6*b(q) + g(q). Find y such that m(y) = 0.\nAnswer: -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*p + 9 - 2, 4*t - p = 2. Suppose -2*n - 3*a = -10, n - 3*a + 8 = 2*n. Is n <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3. Let a(i) = i + 2. Let q(r) = -2*a(r) - 3*s(r). Let j(b) = b**3 + 3*b**2 - 8*b + 2. Let h be j(-5). Is q(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*k + 32, -43*k + 2*v = -42*k + 4. Solve k*r - 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:05 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69.49 + 1.49. Let q = -68.06 - c. Let j be 3\/(66\/40) + -2. Put 0.1, q, j in increasing order.\nAnswer: j, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 103*a. Let n(c) = -17*c**2. Determine n(d(j)).\nAnswer: -180353*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 50*j - 35 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3*x - 148*j**3 - 24*j**2*x wrt x?\nAnswer: 2*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + o. Let a be 15\/(-20) - (-15)\/4. What are the prime factors of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let g(j) = j**2 - 17*j - 2. Determine f(g(o)).\nAnswer: 2*o**2 - 34*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855905612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3 (c) -1.1 (d) 424 (e) -2\/7 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -225*b**2 + 18*b - 3. Let i(u) = 448*u**2 - 29*u + 5. Let x(j) = -3*i(j) - 5*t(j). Let l(y) = -4*y**2. Give x(l(k)).\nAnswer: -3504*k**4 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.02 + -0.02. Let z = 6 + -6.46. Let r = z - 0.04. What is the third smallest value in r, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29415 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2}. What is prob of sequence pdp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*f. Suppose 0 = -n + f*n. Solve 0 = -4*r - 5*x - 25, 5*r + n*r - 2*x = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40.14967ml?\nAnswer: 0.04014967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 0.6. Let z = p - -2.2. Let h = z + 3.1. What is the nearest to 0 in h, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20958.\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**5\/v))\/v*v)\/(v*v**4))**(-4\/7) assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21233130102 - -3?\nAnswer: 21233130111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006009 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*g + 4 - 23, -5*a = -g - 10. Sort 6, a, -5 in increasing order.\nAnswer: -5, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1433128 and 5385?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*q = 142*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:54 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 3. Calculate the remainder when 6 is divided by y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/16)\/(36\/(-144))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 6*f - 6. Let s(x) = 5*x + x**2 - 3*x**2 - 5 - x**2. Let z = 112 + -117. Determine z*n(k) + 6*s(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 38 + 43. Let t(h) = 8*h**2 + 4*h - 5. Let w be t(2). Solve -38*d + w*d = -z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9*(-3)\/2. Suppose 2399980 = -3*f + 5*i, -i + 799988 = -f + q*i. What is f rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22 + 11*v + 12*v - 21*v. Let y be j(14). Suppose -359 = -y*c + 1033. Calculate the greatest common divisor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23. Let w be (-1 + u)*(2\/2 - 2). What is w rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 23 = v - 5*i, 17 = 4*v - 5*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 4516?\nAnswer: 4496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(85)*-2 + sqrt(85)))\/((sqrt(80)\/sqrt(2))\/sqrt(8)) + -4 + sqrt(17) + 4 + 1*-3*sqrt(17) + sqrt(17))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211 minus 128633?\nAnswer: -128633.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 - 50746368*i**3\/7 - 188486280*i**2\/7 - 20712768*i + 57995760\/7 = 0. Calculate i.\nAnswer: -2416490, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -21, 75, 219?\n\"Answer: 24*x**2 - 24*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693, 3778, 12119, 28332, 55033?\nAnswer: 94838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x*x)**(13\/2)*x\/(x**(-8)\/x)*x**1\/x*(((x\/(x\/x**(-1\/3)))\/x)**6)**21 assuming x is positive.\nAnswer: x**(-803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/3 + l**2\/2 + 11*l. Suppose -2*z - 9 = -3*z. What is the remainder when n(8) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + f - 1. Let x(t) = -2*t**3 - 4*t**2 - 3*t + 2. Suppose 3*l = 2*u + 12, 0*l = -5*u - 5*l - 5. Let s = u - -9. Calculate s*b(o) + 2*x(o).\nAnswer: 2*o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45044541 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-5 - (-22 + 14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 95 = -0*i. Suppose 22*y - 108 = i*y. Calculate the remainder when y is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21395519 * 0.022.\nAnswer: -470701.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -175, -230, -43, 386, 1057?\n\"Answer: 121*l**2 - 418*l + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(7) - -1*sqrt(7)*1)**2 + sqrt(7))*-2.\nAnswer: 4*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*2*260*37\/740.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 6, m: 4, o: 3, f: 3}. Give prob of sequence fr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2344598 to 3 decimal places.\nAnswer: -2.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o - 3*o**4 + 6*o**4 - o**4 + (-6*o**3 + 3*o**3 + 2*o**3)*(4 - 4 - o) - 6*o**4 + 4*o**4 + 0*o**4.\nAnswer: o**4 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164.6 - 163.6. Which is the fourth smallest value? (a) l (b) -6 (c) 0.4 (d) -2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/12)\/(13\/(-26)). What is the third smallest value in 3\/2, q, 1.2, -2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Let u be -1*(-3 + l + -2). What is the tens digit of 2\/u + 1230\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 12*w**2 + 14*w + 18. Let x be z(-13). Let u(m) = -m**3 + 5*m**2 + 5. Let v be u(x). Is 3 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -40129763?\nAnswer: 2\/40129763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 13*b - 22. Let a be v(11). Solve a = 2*q - q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22038 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-273)\/(-260)*-15*8)\/(4\/2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 5*j**3\/2 - 5*j**2\/2 - 368*j. Give c(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/12*b**4 + 0 + 6*b**2 + 0*b + 0*b**3. Let y(f) be the third derivative of 5*f**4\/12 + 3*f**2. Determine y(c(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 8*u + u + 0*u - u**2 + 15*u - 3*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/40)\/(-5)*2*3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urdrudkrrurkrrkkr. Give prob of picking 3 k and 1 r.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - u - 3. Suppose -2*b - 13 = c - 7, -b + 2*c + 2 = 0. Let i(r) = -r**2 + r + 4. What is b*x(v) - 3*i(v)?\nAnswer: -v**2 - v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -436 + -2?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from {l: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4 + 15. Calculate the least common multiple of 8\/3*(-96)\/(-64) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 1. Let t be v(2). Let m be t*(-1)\/1*-2. Suppose m*u - 5 = 1. Solve u*o = -d + 15, -d - 2*o + 10 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(-4*(-4)\/64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + -3 + -1 + sqrt(832) - (-3*1*sqrt(832) + sqrt(832) + (-5*(sqrt(832) + 0) - sqrt(832)))))**2.\nAnswer: 144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 8 - 13 = 3, -44 = -9*a - c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((96\/(-510))\/8)\/((-2)\/(-10)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 660420600 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -310bc6 - 2?\nAnswer: -310bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782786, -1565572, -2348358?\nAnswer: -3131144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 15) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Are p and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 2*p, 0 = -2*w - 4*p + 324. Suppose -4*r + 5*r + w = 0. Let v = 383 + r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2071, 2076, 2085, 2098?\n\"Answer: 2*q**2 - q + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54190214 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.5250767 rounded to 1 decimal place?\nAnswer: -448.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 + 12415?\nAnswer: 12476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(220)\/sqrt(4))\/sqrt(5)) + ((sqrt(11) + 3)*-6)**2 + (sqrt(11) + (sqrt(44)*4)\/sqrt(4) - (sqrt(11) + sqrt(55)\/sqrt(5)*-4)).\nAnswer: 720 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from fzzzzzzzzzzfz.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 16 = -144 - 191 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1265.1 - 1333. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + h = 11, g - 4 = 6*g + 2*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24)*2)\/((-30)\/140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s - 5. Let i be p(-4). Suppose 0 = -3*m + 2*k + 21, -6*m + 2*m + 4*k + 32 = 0. Solve r + i = m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 11*y + 0*y**2 + 4\/5*y**5 + 3\/2*y**3 + 0*y**4 + 0. What is the second derivative of x(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/24)\/((-48)\/(-9)). Let u(f) be the first derivative of f**2 + 23*f - 9. Let h be u(-11). Is h less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -522542206?\nAnswer: 522542212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780 + 776 - (2 + (-3 - 2) - (45 + 1)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3208 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.6 and 0.05.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 61301.903 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**2 - 55*i - 55. What are the prime factors of t(11)?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101913.819 and -0.1.\nAnswer: -10191.3819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/3 + 12266*y**3\/3 - 171524*y**2\/3 - 49064*y\/3 + 228704 = 0. What is y?\nAnswer: -2, 2, 14, 12252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561011737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1\/5, 128 in decreasing order.\nAnswer: 128, 1\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6458 - 6459 + 0*d + 0*d + 57*d**2. Let q(k) = k. What is q(i(c))?\nAnswer: 57*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 612c5340 - 5?\nAnswer: 612c5338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 415437250 - 3?\nAnswer: 415437246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -18. Suppose 0 = 2*o - 3*c - 36, 3*o + 18 = 4*o + 2*c. Calculate the least common multiple of o and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*o - 66, 3*l + 2*o = 2*l + 34. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.1958 nanoseconds to seconds.\nAnswer: 0.0000007601958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 520854 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:33 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517 by -329.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -41.7.\nAnswer: -12.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 3*o - 1. Let h(n) = n - 3. Let v be h(3). Let t = 3 + v. List the prime factors of c(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*g + 120 = 0, -77*g - 8 = -79*g. What is the remainder when 26 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*-1*(-3)\/6*-34. Suppose -2*t = -3*f - 10, 0 = 4*t - 3*f + 14 - r. Solve t*k + 21 = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100840\/(-12)*-12*10\/80 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131557 and 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/4 + 25*i**4\/12 - 5*i**3 - 25*i - 1. Factor y(q).\nAnswer: -5*q*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -6061, -4037 in ascending order.\nAnswer: -6061, -4037, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3*j + 6*j)*(-6*j**4 + 2*j**4 + 3*j**4) + 1 + 5*j**5 + 2*j - 1.\nAnswer: 7*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.32.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r + 29*r - 65*r)*(2*r + r + r).\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-2)\/sqrt(5)*1)\/((sqrt(63) + (sqrt(252)\/sqrt(4) - sqrt(63)))*-2)*4.\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -22bc8?\nAnswer: 22bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -139, -255, -417, -625, -879?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**4 + 114464*w**3 - w**2 - 26485147.\nAnswer: 4*w**3 + 343392*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 4*o**2 - 7*o - 5. Let p be v(-2). Suppose -89*b - p = -92*b. Calculate the remainder when 11 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 208056.\nAnswer: 208059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1623600 and 3300?\nAnswer: 1623600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:58 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(4 + -2 - 3). Let u be -8*(-6 - h)*66\/4. Suppose -6*d + u = 126. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-882)*224\/(-1104)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 5*s + 6. What is z(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86368 is divided by 436?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqqqqqqqqqqqxqqqq. Give prob of picking 1 x and 1 q.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, w: 4, g: 1, t: 2}. What is prob of sequence twa?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4981 - 2299. Suppose 0 = 5*d - 0*d - k. Suppose -2*w - d = -9*w. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 4*t**2 + 2*t + 12. Determine j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*b = 58 - 33, -20 = 3*w + 4*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - 325\/(-2) - (-1)\/2?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 2. Let y(i) = 2*i - 4. Let u(j) = -4 - 3 + j + 3*j. Let h(o) = r*y(o) - 6*u(o). Differentiate h(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 480 = -13*d. Let l(v) = v**2 - 34*v + 119. Let f be l(d). Sort -27, f, -2 in decreasing order.\nAnswer: f, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 40 = 3*l, -6*l = -16*w + 144 - 280 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + u**3 - 5*u**3 - 3.\nAnswer: -7*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/55 + 12\/11. Let w = -0.632 - -0.232. What is the closest to 2\/7 in q, w, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 3 = 2*o. Calculate the remainder when 45 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 26303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 43 - 44 = -18*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20686?\nAnswer: 2, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012326 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 - -421. Let w = 683 - a. Solve 2*h = 4*h + w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(-2*sqrt(600)) + 2.\nAnswer: -sqrt(17)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2)\/(y\/((y*y**(-3\/2)*y)\/y)))\/(y**(-1))**(-16))**(-15\/8))**(-6\/13) assuming y is positive.\nAnswer: y**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 51, 113, 219, 381?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.045 + -8.795. Round k to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1551 divide 19683741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -188 and -166.398.\nAnswer: -354.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143556696 and 10704?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000127701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2072 divided by -42737.\nAnswer: 2072\/42737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 13 = 2*m - o, 5*o + 10 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -39*1\/34*-22. Let p = -5327\/170 + o. What is the common denominator of 41\/10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173433193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -353, -527, -701?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155912727401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3886 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 65. Suppose -2*a + 139 + 7 = 5*v, 209 = 3*a + 5*v. Let h = a - w. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704)*2 + sqrt(77)\/(sqrt(567) - sqrt(7)) + (sqrt(5324) + sqrt(5324) + sqrt(5324)*-1 + sqrt(5324) - sqrt(5324))\/((sqrt(64)\/sqrt(2))\/sqrt(8))).\nAnswer: -651*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*k + 253*k - 273 = 0 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -17. Let o = j + 16. Let d = 21 + 20. Calculate the remainder when d is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.4 rounded to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3843, -7714, -11587, -15462?\n\"Answer: -u**2 - 3868*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182900 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 776047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.91 - 6. Suppose -r - 2*v = 11, 0*r - 5*v = -r + 24. Sort -4, r, 0.1, f in descending order.\nAnswer: 0.1, f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((-2 - 1) + 1)) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Suppose r = -0*w - w + 20. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(0*q**3 + 0*q**3 + q**4) - 42*q**4 + 12*q**4 - 1 + q**3 + 22*q**4.\nAnswer: -10*q**4 + q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/152248 and -17\/95155.\nAnswer: 761240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, r: 5}. Give prob of picking 4 s.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7.4. Let i = 1.6000055 - b. Round i to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 15) in base 4?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 843425 (base 13) in base 8?\nAnswer: 13626656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 1681142 + 1022173. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, 0 = s + 5*n - 1. Let b = 342586\/25 - 13702. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.6 - -1.6. Let c = 0.143 - 30.643. Let q = c - j. What is the nearest to -6 in q, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3087) + (sqrt(3087) + (sqrt(3087)*-1 - sqrt(3087)) - sqrt(3087)) - 6*(sqrt(1575) + 2))**2*1.\nAnswer: 1776*sqrt(7) + 86311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, -5, -3, -539, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3. Let v be a(0). Solve -3*t + 5*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 10*g - 7*g. Let y(l) be the third derivative of 31*l**4\/24 - 2*l**2 - 72*l. Calculate o(y(h)).\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -205847733285.73?\nAnswer: -205847733285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/13 - 350*y**3\/13 + 16360*y**2\/13 - 181720*y\/13 - 15264 = 0. What is y?\nAnswer: -1, 18, 52, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 5 (c) 775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 20 + 10 - 15*l + 21 + 25.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 64. Suppose -n - 27 = 11*a - 6*a, 5*a - 33 = 4*n. What are the prime factors of w(n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i**2 + 5. Let k(n) = 1683*n**2. Give q(k(t)).\nAnswer: -33989868*t**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 v, and 1 u when four letters picked without replacement from {v: 5, d: 3, u: 3, c: 1, j: 7}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100733983 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*-6 - 25\/50\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 86.78. Round t to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r - 1. Let q be t(-3). Let h be (-830)\/(-9) - (-22)\/(-99). Suppose -4*v + 190 = -3*a + q*a, a - v = h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 714 and 228088.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -15, -32, -57, -90, -131?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(210\/(-14))*1\/(-7).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255072 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -280695\nAnswer: -2\/280695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1113.1 - 1113. Let w(z) = z**2 - 3*z - 1. Let h be w(-4). Do t and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*1*(0 + sqrt(3)*2 + 4))**2.\nAnswer: 600*sqrt(3) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*a + 84, 0*s - 96 = 4*a + 2*s. Sort a, 3, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + p + 186 = 181, 0 = 3*p + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, -39, -249, -459, -669, -879?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2371002345 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/15 + 27492464*x\/3 + 472397235494560\/3 = 0.\nAnswer: -34365580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5\/2*y**2 + 4\/3*y**3 + 2 - 5*y + 1\/4*y**4. Let w be q(-4). Solve -10 = 2*k + h, 0 = -k - 3*h - w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 29*y + 12. Is 11 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 814, -20, -1, 1 in descending order.\nAnswer: 814, 4, 1, -1, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*d + 28 = 907*d, 3*z + 2*d + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - x**3)*(x**2 + 0*x + 0*x) + (70*x**2 + 20*x**2 + 44*x**2)*(x**3 - 3*x**3 - x**3).\nAnswer: -403*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*y + 56 = 208*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1309*n + 1210. Let b(m) = -1315*m - 1209. Let r(q) = -2*a(q) - 3*b(q). Differentiate r(j) wrt j.\nAnswer: 1327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.47 and -807 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 - -6) + -3 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(2)*-1 + (-4 + sqrt(2) + -2)**2).\nAnswer: -39*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/440)\/(4\/72)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 34*z**2 - 29*z - 43. Give p(17).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/80248 and -61\/2.\nAnswer: 80248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.014?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -9 in ascending order.\nAnswer: -9, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(3\/28)*((l\/(l*l\/(l\/l**(-6))))\/l*l)\/(l\/l**(-5))*(l**(2\/3))**(5\/14)*(l\/(l\/l**0))**(2\/33) assuming l is positive.\nAnswer: l**(11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 12 = 2. Suppose 2*w = s - 7, -2*s - o*w + 18 = 2*s. Suppose 0 = q + 1, -s*v + 0*v = -5*q - 45. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/(-32))\/(((-1)\/2)\/(-1)). Suppose i - 51 = t*v, -i + 51 = -4*v - 16. Sort -3, v, -1\/9, 2\/7 in decreasing order.\nAnswer: 2\/7, -1\/9, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35200075659 + 13479.\nAnswer: -35200062180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b. Let a be 402\/27 - (-7)\/63. Let z(i) = -12*i. Give a*h(p) + 4*z(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-48))\/1*3\/((-27)\/(-48))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -145142.\nAnswer: 1\/72571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15104\/11 + 1372. Find the common denominator of -29\/3 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 40*m = 4*v + 30316, -3*m + 3*v = -45492. Does 99 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16\/3469 + 311043\/68190133. Let q = -444962\/19657 + b. Let t = 340\/33 + q. Calculate the common denominator of t and 101\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d - -22?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 10*r**2 + 43*r - 165. What is a(8)?\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, 22, 113, 292, 589, 1034, 1657, 2488?\n\"Answer: 5*o**3 - o**2 + o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -12. Let p = 2 + r. Let d = -21 - -21.1. Put -0.05, d, p in increasing order.\nAnswer: p, -0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 38553*h + 422735. Give u(-11).\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*(1 - 2) + (2 - -2). Suppose 0 = -r*p + 21*p - 9106. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen tenths of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 14, o: 1}. Give prob of sequence olol.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(3)*5)\/(sqrt(7) + (sqrt(7) - sqrt(112)))*1.\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94082*n**6 + 17*n**2 + 2*n + 10 wrt n.\nAnswer: 11289840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221220112020 (base 3) to base 16.\nAnswer: 201bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a factor of 28999191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/105)\/(24\/28). Which is the third biggest value? (a) l (b) 0.1 (c) -2\/27 (d) 2\/9 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 - 227. Let v(u) = u**3 + 22*u**2 - 40*u + 23. Is 69 a factor of v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:27 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145272427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*f = 0, -3*o - f + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h, 0*w + 3*w - 3*h + 6 = 0. Let n be 87*(-1)\/(-9) + -9. Are n and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -2.01. Suppose -4*h = -5*h - z + 5, -5*h = -2*z - 46. What is the third biggest value in -3, n, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 725. Let s be y(46). Are s and -132 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44610.\nAnswer: 2, 3, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*r - 4*n, 41*r - 45*r - 4*n = 8 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**3\/9 + 56*h**2\/3 + 113*h\/3 + 1886. Factor w(n).\nAnswer: -(n - 113)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 56. Let z = -11 - d. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 121*w - 1. Let l(r) = 2220079*r. Determine c(l(i)).\nAnswer: 268629559*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 46 - 9 + 13. Let u(h) = 108*h + 32. Let z(y) = -10*y - 3. Let c(j) = -3*u(j) - 32*z(j). What is c(d(l))?\nAnswer: -8*l + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430338 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - -1) - (2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-810)\/(-1155)*(-5 + -1). Let i = v + 51\/11. Which is the smallest value? (a) i (b) 0.4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5069.336 seconds to milliseconds.\nAnswer: 5069336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3182, 3176, 3168, 3158, 3146, 3132, 3116?\n\"Answer: -z**2 - 3*z + 3186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + r)*(31262*r - 31257*r + r**2 - 1 - 2).\nAnswer: -r**3 - 5*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, 4, -0.15, 0.0582?\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqgx when four letters picked without replacement from {v: 1, g: 2, q: 1, x: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shc. Give prob of picking 1 s and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-2 - (-19 - -31))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -53*p**2 - 864*p. Let g(d) = 2*d. Determine g(j(h)).\nAnswer: -106*h**2 - 1728*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:00 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 27. Let o = -18 + v. What are the prime factors of (-9)\/4*((-159)\/9 - o)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q - 568727*q**2 + 571779*q**2.\nAnswer: 3052*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234652919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 115 = -53. Suppose 0 = -5*f + 4*l - 25, -26 = 3*f + l + 6. Let h = z - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 21, -1 in increasing order.\nAnswer: -85, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*l = 38, y + l + 367 = 377. Solve 8*q = -w + 12*q - 11, w - 13 = -y*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.824 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 + -4971.9.\nAnswer: -4483.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by 1061821?\nAnswer: 166\/1061821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*-6)\/(sqrt(343) - (sqrt(343) + 2*sqrt(343) - sqrt(343) - sqrt(343) - sqrt(343))) - ((-2*sqrt(88) - sqrt(88))*-6)\/(sqrt(648)*-1)) + 1.\nAnswer: 1 + 20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/1288?\nAnswer: -3\/1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 22. Let t be f(-8). Let g(h) be the third derivative of 0 + 0*h + 0*h**3 + 1\/24*h**4 - 1\/30*h**5 - h**t. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 - d + 2. Let s be g(0). Suppose -4*c = v - 24, s*v - 28 = v - 2*c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 120 = -q. Suppose -2*u - 1 - 1 = 0. Let r be u + (-21)\/(-3) + 0. What is the greatest common divisor of q and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*q**4 + 0 + 0*q**3 + 0*q + 0*q**2 + 2\/21*q**5.\nAnswer: 2*q**4*(q + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -23*n**6\/60 - n**5\/60 + 5*n**3\/6 - 10*n**2 + 10. Find the first derivative of w(q) wrt q.\nAnswer: -138*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**5\/25 + o**4\/20 - 7*o**3\/15 - o**2\/10 + 6*o\/5 + 40. Determine j, given that g(j) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 866167.2m?\nAnswer: 866.1672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 10451.2.\nAnswer: 10448.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3061 * 1163.\nAnswer: -1518.9943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -42290 - 131325. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n - 3*n)*(57 + 35 - 26) to g + m*n and give m.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (546*p + 113*p - 219*p)*(1 + 0 - 2 + p**3).\nAnswer: 440*p**4 - 440*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x + 44*x - 57*x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2480 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5 - 20*b**4 + 60*b**3 + 160*b**2 - 320*b = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/35 + ((-544)\/40)\/4. Put 4, g, -0.1, -63 in increasing order.\nAnswer: -63, g, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*i + 20, i = -2*i - 5*o - 7. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1571.473455 to 1 decimal place.\nAnswer: -1571.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -346\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((10\/(-110))\/((-14)\/(-4))). Suppose -9*y - g = -16*y. Solve 0 = -u - 2*u + 5*r - 11, -2*r + y = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/15522 and -107\/804.\nAnswer: 2079948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5475.966 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, 3\/74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1)*(-3*c + c + 3*c)*(4 - 5 - 1)*(-123 + 82 - 31)*(43 - 19 - 10).\nAnswer: -2016*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-3 + (sqrt(475) - (sqrt(475)*2 + -5)) + (-4*-1*sqrt(475) - -4*(sqrt(475) + sqrt(475) + sqrt(475) + 0)))*6 + -5))**2.\nAnswer: 157500*sqrt(19) + 96188725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2 + 3*t**2 + t - 3*t - 7*t**2 + 2*t**3. Suppose 237*r - 240*r + 42 = 0. What is the smallest common multiple of r and b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*v - 8, -3*h - 16 = 44*v - 48*v. Let n(x) = 5*x**2 - 4*x - 2. What is n(v)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 - b**4\/6 - 2*b**2 + 3*b. Let h be i(3). Let w = 9 - h. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2, -3, 9\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645 - 10749 = 549*u + 1782 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3084899.1000042 - -3084900. Let w = -1.05 - -0.15. Let k = i + w. What is k rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106035*u - 542413*u - 156151*u.\nAnswer: -804599*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4318\/(-2286) - (-10)\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:03 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 171. Let c = -94.99947 - y. What is c rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 7.634989884022?\nAnswer: -7.674989884022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11011222101 (base 3) to base 13\nAnswer: -2b645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -574*k**3 - 6*k**2 + 12*k**2 + 6*k + 5*k**2 + 5 + 573*k**3. Suppose -6*c = -3*c - 27. Is d(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u + 17*u**3 - 15 + 20*u**3 - 10*u**2 + 0*u**2 - 38*u**3. Determine l(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -242.18 and -29131.\nAnswer: 7054945.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1407623 by 1.\nAnswer: -1407623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -3*y, 1 = 5*y - j + 5. Let h be 7 - (16 - y)\/4. Solve -6 - h = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10796954 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/5992 and 29\/1070.\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9675 and 675.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14892 and 219.\nAnswer: 14892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + (-880)\/132?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3900 divided by 780?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903405611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 527780*w + 2638904. Calculate c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 8944*q**3 - 13158442*q**2 + 6345518300*q.\nAnswer: -2*q*(q - 1661)**2*(q - 1150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s + 27 - 6*s - 3*s**3 - 2*s**3 + 2*s**3.\nAnswer: -3*s**3 + 23*s + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 16 - 16 + 13*v.\nAnswer: 3*v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) -5 (b) 0.4 (c) -0.18 (d) 1 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*p**2*y - 4*p**2 + 304899*p*y**2 - 531*p - 383 with respect to y.\nAnswer: -11*p**2 + 609798*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490682715?\nAnswer: 3, 5, 37, 317, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -30. Let a be (12\/14)\/(m\/98). What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1532 - 593. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from eerrrreeer.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26.11 times 168\nAnswer: 4386.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 49*a - 207. Let u be s(53). Solve 5 = -34*g + u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z + z)*(-z - 4*z + z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -56. What is the second biggest value in -3\/5, v, 169, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -555436*w**2 + 2. Let r(p) = 21*p. Determine r(m(g)).\nAnswer: -11664156*g**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:12 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 2 + 571*b + 3 - 38 to w*b + s and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - h + 1, -3*n - 11 = -n - 5*h. Let g(d) = 0*d**2 + 14*d**n - 11*d**2. Let x(b) = 18*b**2. Determine x(g(q)).\nAnswer: 162*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 4*m, 35 = 4*m + u + 27. Suppose -5*s + 122 = -5*b + 42, 5*s - m*b = 86. Solve -8*r + 58 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 15 + -42 - (-2 + 2 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04458 - 46.57542. Round g to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*t - 39 = 0, -338*j + 5*t - 457 - 3420 = -149 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13351 + -3299. Calculate the greatest common divisor of 56 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/20)\/((-2)\/(-5)). Let m = 0.03 - 4.03. Sort y, -0.1, m in decreasing order.\nAnswer: y, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19024)\/820)\/(7*(-5)\/175)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, 12, 19, 28?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = j + 4*z, 0*j + 4*z + 170 = 5*j. Let i = -11 + j. Let c(p) = -p**2 + p + 5. Let u be c(0). Solve 2*k + 3*n - 18 = -1, -u*n + i = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3 and (-4 - -2)\/(-10) - (-97)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - c**2 + 0*c + (2*c**2 + 1 - 1)*(-8 - 11 + 1) + 7 - 7 + 3*c**2 as p + l*c**2 + b*c and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 10*u - 35 - 4. Solve u*i - 2*l = 0, l - 1 - 1 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 417. Determine x(42).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-52)\/(-78)*6\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159430659 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 - 38*w**2 + w + 4. Let n(m) = -m**3 - 13*m**2 + 1. Let d(p) = l(p) - 3*n(p). Let z(x) = 5*x**3 - 3*x**2 - 19*x - 3. Give -3*d(h) - z(h).\nAnswer: -2*h**3 + 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**3*r**3 - 44*q**3 - 7*q**2*r**2 + 165*r**6 - 2*r**2 wrt r?\nAnswer: 42*q**3 + 19800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t + 6732 = 246*t - 77*t + 544*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + -25 + -11 + 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19731270 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 22*p**3 - 38*p**2 - 50*p + 24. Let d(w) = 7*w**3 - 13*w**2 - 17*w + 8. Let m(s) = -14*d(s) + 5*r(s). Solve m(q) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c5 (base 13) in base 12?\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*d*p**3 - 241507*d*p + 3*d - 36752109*p**3 wrt d.\nAnswer: -26*p**3 - 241507*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 8*z - 7. What is x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 24*r = -5, 3*z + r - 46 = 0. What is the common denominator of (70\/z)\/(80\/15 + -2) and (-372)\/(-16) + (-2)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1090a (base 16) to base 9\nAnswer: -113058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n. Let q(p) be the first derivative of -p**4\/4 - p**2\/2 + 623. Let f be (-2)\/(192\/(-30) - -6). What is f*q(v) - t(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2. Let j(h) = 93*h**2. Give j(w(x)).\nAnswer: 837*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16860 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -b686e?\nAnswer: -b686d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 3*a - 4*a + (-3 + 1 + 1)*(-7*a + 10*a + 1736 - 1739) as v + x*a and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, -3, -0.4, 3.13, -0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -1)*1904\/(-64). Calculate the highest common divisor of b and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g + 11*g - 970*g**3 + 987*g**3 wrt g.\nAnswer: 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164971 + 165086. Let h(b) = 11*b**2 + 4*b + 3. Calculate the remainder when v is divided by h(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n + 2 - 6 + 30*n + 6. Let p(h) = 5*h + 1. Give 2*p(y) - 3*u(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 125*f**2 + f. Determine d(-1).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366764801?\nAnswer: 13, 293, 96289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -637 + 642. Solve -f*h = -c + 1 + 10, 0 = -3*c + 5*h + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -971.12757?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 87. Let s = 44 - 29. What is the first derivative of -s*z - 33*z**3 + x*z - 17*z - 42 wrt z?\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l - 4*j - 19 = 0, 0 = -5*l + 4*j - 11. Suppose 4*c - 2*a - 34 = 0, c = a + 5 + 4. Let i be (-1 - 0)*(-11 + c). Sort i, l, 2.\nAnswer: l, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 1. Let k be s(-2). Suppose 211 = k*y - 704. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o**3 - 3*o**2 - 7*o + 33. Let b be t(4). Is b at most as big as -558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-482)\/(-2) + (-7 - -4) + 0.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/17 - 62*f\/17 - 64\/17.\nAnswer: 2*(f - 32)*(f + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1)\/sqrt(7)*4)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92806 - -3*(88\/66 + 3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469909307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612462 is divided by 404.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 5, n: 1, v: 1, h: 3, f: 3}. What is prob of sequence tvf?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, r: 1, d: 9, y: 1}. What is prob of picking 1 p, 1 r, and 1 d?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*w - 8 = 0, 4*w + 4 = -o - 0*o. Let k = 3 + o. Let i = 2 - k. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 49*t + t**3 - 49*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azl when three letters picked without replacement from {z: 1, l: 4, a: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 2 s when four letters picked without replacement from {d: 3, z: 1, e: 4, v: 2, s: 6}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 181 = 5*s, 3*j - 323 - 233 = 2*s. What is the greatest common factor of j and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -1222, -1219, -1216?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/120 + l**5\/60 + l**4\/12 - 2*l**2. Let c be 3 + 232\/(-72) + (-25)\/9. Let h be (-6 - (-84)\/18)*c\/2. Determine x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 48 = -446 - 42. Solve -2*j + g*z + 16 = 44*z, j = -3*z + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391447412.\nAnswer: 2, 97861853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*i - 12 + 18, -4*i + 2*b + 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 260*n - 6050. Calculate u(24).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 14 + 5)*(h + 0 + 0) - 41*h - 26 + 52 - 25.\nAnswer: -47*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 less than 925662?\nAnswer: 925625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q = 33*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002268 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101598*l + 2 + 33864*l + 33862*l + 33865*l.\nAnswer: -7*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)*(j*j**(-5\/2))\/j*j**(2\/3)\/((j\/(j*j**2))\/j) assuming j is positive.\nAnswer: j**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2904 and 3.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 5*t - 10. Suppose 2*z + 3*g = -3, z + 0*g = -3*g + 6. Let x be l(z). Suppose 5*p + 5*m = 3*m + x, -2*m - 16 = -2*p. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001445 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/871426 and 39\/9585686.\nAnswer: 9585686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350224 (base 7) in base 16?\nAnswer: 82292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**3 - x**3 + 3*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*b - 19246 = -305*b + 8804 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1015 (base 6) to base 13\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 2.6. Let i = c - 2.1. Sort 2\/3, 1, i.\nAnswer: i, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28534 less than -0.5?\nAnswer: 28533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 5, -5, -1 in increasing order.\nAnswer: -7, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2.9\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.01, -0.2, 0.07, 3\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7036 (base 13) in base 6?\nAnswer: -155224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*s + 78*s + 49712 = -127*s for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2158, 4, 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/8 + 5493*v\/8 - 45004833\/4 = 0. Calculate v.\nAnswer: -6469, 4638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f. Suppose 0 = j - 0*x - 2*x - 18, 2*j - 37 = 3*x. Let q(p) = 22*p**2 + 4*p**2 - j*p**2. What is q(a(r))?\nAnswer: 1176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84*(2 - 8\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -51. Let k = 27 + u. Solve -m - 1 + k = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let l be v(-3). Let w(m) = -2 + l + 1 - 3 - m. What are the prime factors of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 5*q - 3. Let i(b) = 1. Let p(f) = 5*i(f) + s(f). Let c(h) be the first derivative of p(h). Determine c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -137533, -126447, -107971, -82105, -48849, -8203?\n\"Answer: 3695*o**2 + o - 141229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 85320088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h + 12*h + 11*h - 33*h + 24. Let d(b) = -2*b**2. What is n(d(u))?\nAnswer: -4*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 4, -110, 3, -1 in ascending order.\nAnswer: -110, -3, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 8:40 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365864 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3960 - 5488.2. Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o. Suppose -2*a + 3*s + 6 + 0 = o, 2*a - 18 = -3*s. Suppose 86 + 16 = a*f. What is the remainder when 32 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6 - 0. Suppose f*a - 152 = 4*z, 5 = 2*z - 3*z. Let v(w) = -w**3 + 4*w**2 + 5*w - 5. Calculate the remainder when a is divided by v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8502.243, -1, -1\/3 in decreasing order.\nAnswer: 8502.243, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in sixteen sevenths of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 7. Let i = 10 + l. Solve -k = i*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - t)*(-4*t**2 - 3*t**2 + 5*t**2) + (t**2 - 3*t**2 + t**2)*(3*t + 3*t - 5*t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1061640 and 1167804.\nAnswer: 11678040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -121*s**3 + 47*s**2 + 34*s + 31. Let o(t) = -40*t**3 + 16*t**2 + 12*t + 11. What is -17*o(j) + 6*u(j)?\nAnswer: -46*j**3 + 10*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 2 = -4*g, 2*v - 16 = -2*g. Let x be (-91)\/(-26)*(-72)\/(-21). Solve x = 4*l + g*w, 0*w + 4 = -l + w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 - (9 + -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 + 4*g**2 + 3. Let b(i) = 4*i**3 + 3*i**2 - i + 2. Determine 3*b(t) - 2*q(t).\nAnswer: 2*t**3 + t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5768*x**2 + 5768*x**2 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 5. Let c = 17 - r. Let k = 4 + 1. Put c, k, -0.14 in decreasing order.\nAnswer: k, -0.14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Which is the closest to n? (a) -2 (b) 2 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let m(t) be the third derivative of -1\/24*t**4 + 0 + 0*t - 14*t**2 + 3\/2*t**3. Calculate a(m(g)).\nAnswer: -g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 1269 - 1251 = -6*g. Sort 0, -14, g, 3 in ascending order.\nAnswer: -14, 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19 + 21)*(-6)\/4*-1*5. Solve -9*j = -v - 39 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 5. Let d be s(-7). Let k(n) = -22*n**3 - n**2 - n. Let t be k(-1). Suppose t*h - 210 = 8*h. Solve d*b + b = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*m + 7728 - 7728 + 2*m - 2*m + 5*m + (6 - 3 - 1)*(-1 + 1 + 2*m) + m + 2*m - 4*m - 2*m + 5*m - 4*m + m - 2 + 2 as a + t*m and give t.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/3 - 14*u**3\/3 + 91*u**2\/3 - 76*u\/3 = 0 for u.\nAnswer: -19, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)\/o**(-5))\/(o*o\/(o\/(o*o**3))*(o*o**(-2\/15)*o)\/o) assuming o is positive.\nAnswer: o**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3\/3 + 2*g**2 + 4*g + 1. Let o(l) be the first derivative of j(l). What is the tens digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -53 (b) -0.3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -121, -257, -483, -799, -1205?\n\"Answer: -45*c**2 - c - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1\/60*r**5 + 0*r - 5\/6*r**3 + 4 + 7\/24*r**4 - 3\/2*r**2. Let n(y) be the second derivative of g(y). Determine n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/7, -7, -1, 2\/7, 2\/13 in descending order.\nAnswer: 12\/7, 2\/7, 2\/13, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.068 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 4*y + 37, -2*j - 2*y = 46. Let n = j - -116. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 3, b: 1, w: 4, k: 1}. Give prob of sequence tb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 21)\/((-42)\/(-56)). Let w = 52 - t. Suppose -2*v + 3*v - w = -4*a, 0 = -4*v - 4*a + 48. Solve -5*y + v = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -1 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 9, 8, 1 in ascending order.\nAnswer: 1, 8, 9, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-15 + 14 + -3 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4176)\/(-15) - 4\/10. Let m = -832\/3 + t. Determine u so that 2\/3 - m*u**2 - 1\/3*u + 1\/3*u**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 30*u**2 + 27*u + 58. Calculate y(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 56088048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391052.5 weeks in seconds?\nAnswer: 236508552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 5*x**8\/672 - 9*x**7\/80 + 121*x**6\/480 - 27*x**5\/160 + x**4\/24 + 7*x**2 - 4*x - 49. Let b(l) = 0. What is l?\nAnswer: 0, 1\/5, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*a - 1058 - 271, 3*v = 3. Let z = 79 + a. List the prime factors of z.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b740 + 1?\nAnswer: 2b741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2162133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.210212 - 1.490158. Let m = -24 + 25.7. Let c = m + p. What is c rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11260445219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let j(p) = 18*p. Let g be 4 - 16\/(-1 - 3). Suppose g = -3*o + 5. Let a(w) = w. Let q(l) = o*j(l) + 12*a(l). Determine q(h(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3 + 45*l**2 - 90*l = 0?\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.069397ms to nanoseconds.\nAnswer: 69397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 736, 10762, 0 in descending order.\nAnswer: 10762, 736, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:02 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*(10\/(-4))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-4 + 24\/(-5)). Suppose -8*w - 34 = -7*w. Let q = f + w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s**3 + 0*s + 2*s**2 - 1\/24*s**4 + 0. Let g(z) = -16*z**2 + 24*z + 8*z - 32*z. Determine g(n(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58354, 57673, 56992?\nAnswer: 56311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 27648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7) + 4 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2652 and 10036.\nAnswer: 511836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:34 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2979340 and 560.\nAnswer: 11917360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 - 1 = 0. Which is smaller: n or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026974 to five dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rool when four letters picked without replacement from {l: 1, z: 10, r: 1, o: 2}.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 0. Suppose -a + 5 + u = 0. What is the third smallest value in a, 0.2, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -245 + 16?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 71 - 97 + 18*n**2 - n**3 + 3*n + 5*n. Suppose 0 = 5*i + s - 95, -6*i + i + s = -85. List the prime factors of h(i).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/28)\/((-7)\/(-28)). Let d(x) = x**2 + 12*x + 24. Let j be d(-3). Which is the nearest to 1? (a) j (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/(1 - -1). Let h(w) = -7*w + 17. Let p(o) = -8*o + 18. Let u(i) = -7*h(i) + 6*p(i). Determine u(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -593 - -880. Suppose 3*g + 19 = -r. Let i = g - -104. Solve -i*c = -9 + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1939 and 8587?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 124153575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665 = 103*c + 452*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6894)\/(2 - (-8)\/(-164)). Let y = -3533 - t. Let z = -1533\/40 - y. Calculate the common denominator of -31\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10935396 and 36451320.\nAnswer: 109353960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 - (0 + -1 + 2). Suppose -5*b = -4*r - 1130, -4*b = -b - 2*r - 680. Let q = -76 + b. What is the greatest common factor of w and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 103*x**2 + 6*x - 6. Let w(b) = 22969*b**2 + 1339*b - 1339. Give -1339*f(p) + 6*w(p).\nAnswer: -103*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.103 - -0.503. What is the smallest value in 7, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -77910178.\nAnswer: -77910194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -4\/7, 2\/9, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460 + 521. What is the tens digit of 3389\/6 + (-10 - o\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.3 (c) 0 (d) 9 (e) -17 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {u: 3, a: 3, i: 1, l: 3, e: 1, y: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*(-6)\/14. Let z = -0.10739 - 4.89261. Which is the nearest to -1\/4? (a) z (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 - 0.26. Let o(y) = y**2 - 4*y - 2. Let j be o(5). Let i be 1\/j - 2\/(-12). What is the biggest value in 1, x, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.4, -114\/5, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4607035908?\nAnswer: 2, 3, 37, 10376207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + o = -23, 0 = 3*o + 8790 - 8730 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbsbbsbbbbbbbbbbbbbb. Give prob of sequence bb.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 1) + -116*(-10)\/300. What is the closest to s in 3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z - 21. Determine t(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 - 335*f**2 + 2975*f - 7125 = 0. Calculate f.\nAnswer: 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753930 to the power of 1\/2, to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4259 + -690?\nAnswer: -4949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*w**4 + 13*w**2 + 145*w + 3 wrt w?\nAnswer: 540*w**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 165, 334, 561, 846, 1189, 1590?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 43324872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let p = 35 - 33. Let a(g) = -6 - g**m + 1 - 5*g - g**p + 7*g**2. Give a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(1408) + sqrt(1408)*2))\/(sqrt(66)\/((2*sqrt(72) + sqrt(72))\/sqrt(12))))**2.\nAnswer: -279936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2450529 - 0.232202. What is l rounded to four dps?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 3. Let y be h(-3). Suppose 2*k = 2*a + 6, 4*k - 5*a - 11 + y = 0. Let c = -4 + k. Solve c = -u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzctzcjtotttzoctst. What is prob of picking 1 s, 1 t, and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 7*l**5\/120 - 2*l**3\/3 - 34*l - 42. Let y(x) be the third derivative of f(x). Let w(g) = -3*g. Give y(w(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89301 and 4017.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 (base 10) in base 4?\nAnswer: 1120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 70272.13 nanoseconds?\nAnswer: 70.27213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 136 = j. Suppose 0*f + 5*y = -4*f - 18, j = -4*f + 3*y. Let w = f - -10. Solve 9 - 33 = -4*p - w*n, 0 = n - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, a: 6}. What is prob of picking 2 a and 1 f?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.03 - 85.03. Let x = n + 82.714. Let k = -0.014 + x. Which is the biggest value? (a) -4 (b) 0.3 (c) k (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:53 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/20 - 37*(-3)\/(-2). Let p = o - -58. Let u be (8\/(-90))\/p - (-2)\/(-10). Which is the second smallest value? (a) -1 (b) 0.1 (c) u (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcangcugcann. What is prob of picking 1 c and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-8) - -3)\/((-12)\/(-16)). Let m be (55\/v)\/(18\/16 + -1). What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 10. Suppose -1 = -z + o, o - g*o - 5 = 0. Suppose -20 = -2*i - z*i - 2*w, 4*w + 5 = 5*i. Let x(s) = -s + 4. Give x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (423\/(-1))\/(-6*10\/60). What is the first derivative of 428 - 962 + r + 7*v**3 wrt v?\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 6}. Give prob of picking 1 j and 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3 (c) -5\/27 (d) -0.2 (e) -2\/9 (f) 5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.6 - 38.7. What is the second biggest value in b, 8, -2\/13, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 83330*i - 162*i**2 - 83330*i - 53 + 107.\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {r: 2, f: 11, h: 4, l: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/5 (b) 4\/7 (c) -92\/2209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 363, 2, 4 in decreasing order.\nAnswer: 363, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -186729000 rounded to the nearest 1000000?\nAnswer: -187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*f - 21868 + 11875 - 20485 = -500*f for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -2025, -4424, -7783, -12102?\nAnswer: -17381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-1155) + ((-6)\/(-44))\/((-189)\/(-252))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10339*f. Let h(m) = 16*m. Calculate n(h(g)).\nAnswer: -165424*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**13)*t*t**7\/t)**(2\/43) assuming t is positive.\nAnswer: t**(-14\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) + sqrt(27)\/sqrt(3)) - (sqrt(7) + 1*sqrt(21)\/sqrt(3)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3288 divided by -4?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-6)\/(-54)). Let h(k) = -k**3 + k**2 + 14*k + 6. Let j be h(m). Suppose j*r - 2\/11*r**3 + 0 + 4\/11*r**2 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + -5*(sqrt(49) + sqrt(196)\/sqrt(4)))\/sqrt(7) + -5.\nAnswer: -9*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*o**2*z**3 + 730*o**2*z**2 - 2*o**2*z + 2*o**2 - 203923*o + 48*z**3 wrt o.\nAnswer: 272*z**3 + 1460*z**2 - 4*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11373, 11146, 10915, 10680, 10441, 10198?\n\"Answer: -2*y**2 - 221*y + 11596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20316*s**2 - 22*s - 14614. Let i(o) = -2903*o**2 + 3*o + 2088. Let t(y) = -3*a(y) - 22*i(y). Differentiate t(v) wrt v.\nAnswer: 5836*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10749165 divided by 5.\nAnswer: -2149833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a - 100965 = -98*a. What are the prime factors of a?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 185493 and 1483947\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2133.5 - 2134. Which is the smallest value? (a) 2 (b) t (c) 17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36918 by 3222.\nAnswer: 2051\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a + 5\/2 + 1\/2*a**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 3*n, 5*f = 5*n - 1 + 16. Suppose 15*l - 8*l - 1575 = n. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25443 divided by 182.\nAnswer: 25443\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h = -33 + 147 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 + 12*p + 4. Give w(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 169, 243, 315, 385, 453, 519?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f**2 - 31*f - 18. Let a(m) = 7*m**2 + 16*m + 8. What is 9*a(t) + 4*i(t)?\nAnswer: 3*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101100010001000011001000 (base 2) to base 9\nAnswer: 23745830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -378228 divided by -4\nAnswer: 94557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -2 + -14 + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457172460*u**6 + 112*u**2 - 291*u + 843.\nAnswer: -54860695200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11100 + 3120 = -108*w + 9*w + 194*w for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 1 - (-7200)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by ((-42)\/49)\/(6\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = d - a, 3*d + 130 - 29 = -a. Let u be 8\/30*d\/(-42). What is the nearest to u in 2\/11, -4, -2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 13) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1) + 117\/(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 45*j**2 - 27*j - 114. Determine p(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 2 + 17 - 18 - -22.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02731*-32.61\nAnswer: -0.8905791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 15*m**2 - 11*m + 28. What is r(-16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7163.\nAnswer: 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, -34, -147, -294, -469, -666, -879, -1102?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2*h - 4)*(h**2 + 3*h**2 - 3*h**2) + 0 + h**3 + 0 - 5*h**3 + 68*h**3 + 31*h**3)*(-6*h - h - 5*h).\nAnswer: -1164*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v + 2. Let h(p) = -p - 1. Let g(u) = u**2 - 3*u**2 + 2*u**2 + 8*u + 2*u**2. Let l(j) = -g(j) - 4*h(j). Give -4*l(k) + 9*x(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.1 + 13. Let r = -0.1 + t. Let j = 10.5 - 11. What is the third smallest value in r, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/4*(-16)\/4. Let b = o - 10. Solve -b = l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/195)\/(4\/30) - (-92)\/(-8372)*14.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.444582ml to litres.\nAnswer: 0.005444582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 4*i + 1, 0 = 5*o - 4*i - 40 - 13 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 1 c when three letters picked without replacement from bbdbddddbcdcdbdpdb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.295 and 1667960729.4.\nAnswer: 1667960729.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:05 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 + -3)*2*-1. Let r = -175\/4 + j. What is the nearest to -2 in 4, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38130597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/2)\/(x\/(x**(-5\/2)*x*x))*(x**2*x)**(-2\/87))**(-41) assuming x is positive.\nAnswer: x**(-2296\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 67.983. Let h = -0.723 + s. Round h to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.28 in 2\/7, 3, 3\/5, -0.2, -2\/35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) 6 (b) -0.035 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**3 - 1780*p**2 - 28905*p + 400680 = 0.\nAnswer: -24, 9, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-288)\/138 - -8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212863 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 134635900 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3*(-395)\/45)\/(35 - 0) and 154\/24 + 3\/4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-328)\/(-72) + -4 - (-2)\/(-6). What is the closest to -0.1 in y, 0, 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6093502 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 - 138*s**2 + 3168*s.\nAnswer: 3*s*(s - 48)*(s - 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 18*i + 3. Let a be n(-15). List the prime factors of (-156)\/39 - a*-7.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 3. Let l(p) = 13*p**2 + 30. Let h(q) = -10*a(q) - l(q). Let t(f) = 2*f. Determine h(t(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkiw when four letters picked without replacement from kkkqqiiiwiqikiqwki.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 989*z - 90 = 971*z. Which is the third biggest value? (a) 2\/19 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 72*g - 3. Let v be o(-18). Suppose 4 = -2*s + 4*s. Let u(z) = -s*z + 0 - 1 + 4. What is u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**5\/5 + 27*b**4\/2 + 128*b + 99. What is the derivative of w(d) wrt d?\nAnswer: 8*d**3 + 162*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/7 and -3\/245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-33\/5)*p)\/p)\/(p*(p\/((p\/(p*p*p\/(p\/(p*p**38*p))*p)*p)\/p))\/p))**(7\/2))**(-25\/2) assuming p is positive.\nAnswer: p**2170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 + 6 = 4*r, 3*z - 15 = -r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9*4\/(-24))\/(12\/(-8) - -1). Put 211, 3, 4, v, 5 in ascending order.\nAnswer: v, 3, 4, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a - 76d?\nAnswer: -6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - -0.5. Let n = f - 4. Let p = n + 0.2. Which is the second smallest value? (a) -5 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 + 1395 + (-9 - (-3 + 3)) + -4 + 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -79 (b) 1\/5 (c) -2\/139 (d) 5 (e) -2\/5 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 2. Let l be j(2). Suppose -40 = -q - 4*q. Let x = q + l. Solve -x*n = 16 - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-25)\/10 - -1). Find the first derivative of -5*g**3 + 4*g**3 + 34 - g**3 + 0*g**3 - i*g**4 wrt g.\nAnswer: -36*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2365.15 and 0.1.\nAnswer: -236.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6369795.\nAnswer: 12739590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.088 + -41. Let b = i + 0.112. What is the nearest to b in 0.2, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 4, d: 2, x: 4, m: 2, v: 1}. What is prob of sequence xxv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37*z**2 - z. Let j be u(1). Suppose -4*s = -s - j. Solve -3*t + s = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - l, -l + 1 = -3*k - 1. Let m be (k + 0)*(0 + 0). Let d be ((-8)\/12*(2 - 5))\/(-2). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((0 + 5 - 5 - -12) + -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x + 1 - 22967*x**2 - 3*x + 22968*x**2. What is n(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 3*l + 42, 4*o + 2*l = -46. Let p(c) = -c + 10. Calculate the remainder when p(o) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5964 and 1888316.\nAnswer: 39654636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/507*9\/15.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*s - 494*s - 3*g = 17, 4*g + 16 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 9*x + 40. Calculate the least common multiple of 40 and (6 - 5)*(1 + x) + 1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1179?\nAnswer: -4716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42391489 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28 - ((-150)\/(-180) - 27) and (-205)\/(-96) - 1\/1?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:49 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 605*g + 1208. Let m be h(-2). Which is the third biggest value? (a) 119 (b) -0.8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g**3 - 412*g**2 - 4*g + 46. Is x(-22) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11590.\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5\/2 - 2427*y**4\/2 + 98415*y**3\/2 - 226613*y**2\/2 + 83832*y - 18522 = 0 for y.\nAnswer: 2\/5, 1, 42, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119642024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 4*s + 6. Suppose 2*b = u, -u + b + 21 = 3*u. Let g = -49 + 51. Let a(d) = 0*d + 3 + 1 - d**g - 5 + d. Give u*a(z) + l(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q. Let g be y(-8). Suppose -u + g = 2*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j**(2\/15)*j))**39 assuming j is positive.\nAnswer: j**(-221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:50 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 4. Suppose -3*a + w = 2*a + 20, -3*a = w + k. Let h = -2\/33 - 29\/66. What is the nearest to 2\/3 in 5, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2357894l to millilitres.\nAnswer: 235.7894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712\/5*c**2 - 1428\/5 + 2\/5*c**3 - 718\/5*c = 0. Calculate c.\nAnswer: -357, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64269499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 589*h**2 - 279*h - 279. Let y(o) = -2*o**2 + o + 1. Calculate 2*s(w) + 558*y(w).\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 256\/91? (a) -3 (b) -168 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/45 and 74\/11355?\nAnswer: 34065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, -69, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85893823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28133 at least as big as 28112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80495565.\nAnswer: 3, 5, 107, 50153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**4 - 4 + 23*s**3 + 24*s**3 + 2 + s**2 - 6*s**3 as f + d*s**4 + y*s + c*s**3 + b*s**2 and give c.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0*w**2 + 5 - 1\/6*w**4 + w + 0*w**3. Let f(j) = 68*j**2. What is y(f(b))?\nAnswer: -9248*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t + 461. What is the hundreds digit of w(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1282, 1283, 1266, 1225, 1154, 1047, 898, 701?\n\"Answer: -w**3 - 3*w**2 + 17*w + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 2. Determine c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 4*n - 7 - 2*n - 4*n - 4*n + 4*n - 2*n + 1 - 1 + (3 - 3 + 1)*(0*n + n - 2*n).\nAnswer: -9*n - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 574*u + 8.\nAnswer: -574*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5801*h**2 + 17168*h**2 - 5793*h**2 - 6540*h**2.\nAnswer: -966*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 15. Solve i + o = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100487300 to the nearest one million.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:06 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*g + 16, 5*z - z = -4. Suppose -g*d + 2*y = -130, -4*d + 0*d - 4*y = -76. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -982*t - 3001. Determine l(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/3 - (278 + -286)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.0589954 rounded to three dps?\nAnswer: -14.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15376.8 and -108.63?\nAnswer: 15268.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 41*y = -15*y. Let k(a) be the first derivative of -1\/26*a**4 - 15 + 2\/65*a**5 - 2\/39*a**3 + y*a + 1\/13*a**2. Solve k(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5997*b**3 + b**2*p**2 - 701*b**2 + 5*b*p**2 + 23*b*p - 17601*b + 3*p**2 + 2*p + 1 wrt b.\nAnswer: 35982*b + 2*p**2 - 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j**2 + 7*j + 12. Let u be t(-2). Let y = u + -74. Suppose h = -5*c + 55, -15 = 3*c + 5*h - 48. Solve y = 5*a - 16 + c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 180 = 0. Let h be -6*12\/(-3)*1. Calculate the greatest common divisor of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, p: 6, c: 4, y: 1, b: 1}. What is prob of sequence clly?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {c: 3, z: 1, f: 2, g: 2, o: 4, l: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aa - -1ea1?\nAnswer: 19f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v - 15. Let n be m(-6). Solve -2 - n = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/113 in 1, 0.1, -5, 0.0479?\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/96)\/((-5)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*7956\/408\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-315)\/30)\/(4*(-15)\/(-40))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -80*r - 10. Calculate the lowest common multiple of 63 and a(-1).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-12 + (-8 - -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/34)\/3 - 17026\/(-68). Let r = 251 - l. Factor 0 + r*k**3 + 1\/2*k + k**2.\nAnswer: k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 2*z**2 + 25*z - 1. Let d be c(5). Solve -d + 39 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + v + 2 + 4 + (-5 + 3 + 1)*(-2*v + v + 2*v) + 651 - 651 + 10*v.\nAnswer: 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4329546 + -4329526.00097. Let w = 19.988 + 0.012. Let a = w - u. Round a to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*u**4 - 186605*u**3 - 310582444*u.\nAnswer: 3552*u**2 - 1119630*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34132, 34131, 34130, 34129, 34128, 34127?\nAnswer: 34126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -45.6. Let a = 5.48 - t. Let q = a + 0.37. What is q rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1126.\nAnswer: 112.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**6 - 168*t**5 - 83*t**2 + 2?\nAnswer: 360*t**3 - 10080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-5) + 0 + 2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3155, -6310, -9465, -12620, -15775, -18930?\n\"Answer: -3155*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 44*r**7\/21 - 23*r**3\/3 - r**2 + 108*r. Find the second derivative of n(s) wrt s.\nAnswer: 1760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + -155. Let q(j) = 10*j - 82. Let w be q(b). Suppose -4*o = -3*n, 0*n = 2*n + 3*o. Sort n, 5, w in ascending order.\nAnswer: w, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28595 + 2516253\/88. Find the common denominator of -127\/264 and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3214, -10565, -22810, -39949?\n\"Answer: -2447*g**2 - 10*g - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2897805 and 1830?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 17285924*d\/3 - 17285926\/3.\nAnswer: 2*(d - 1)*(d + 8642963)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -17*n**8\/56 + n**7\/42 - 7*n**4\/12 + n**3\/6 - 5*n - 1. What is the third derivative of t(j) wrt j?\nAnswer: -2040*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -4*h. Let -46*v**3 - 17*v**h + 24*v + 56*v**2 + 19*v**4 + 4*v**4 = 0. Calculate v.\nAnswer: -1\/3, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14053 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 15*i**2 + 4*i + 9. What are the prime factors of d(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 8*f**2 - 36*f + 12*f**2 - 30552 + 30552 in the form w*f**2 + b + v*f and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 61 = 3*j, l = -2*j + 6*j - 70. Let f = -1.1883 + 0.1883. Let v = 129 - 511\/4. Which is the nearest to f? (a) v (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2289.9 less than 4535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 7. Let p be (-6 - (0 + -2))*20. Let x be (-1)\/3 - p\/15. Let f be r(x). Solve -4*z + 14 = s, 4*s + z = -f*z + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/202 and 107\/3772?\nAnswer: 380972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + r + 21 = 6*r, 0 = -g + 5*r - 19. Which is the closest to g? (a) 0 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12)*(-48)\/4. Suppose -16 = d - 5*d. Suppose -5*i - 12 = -2*m - 4*i, d*i + 16 = 0. Solve -w - m = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5117 and 364769?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpp when three letters picked without replacement from kwfppkwsfwkwqkf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 50 = 3*q - 8*q, 5*q = 3*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -12*l + 54. Suppose -l*j + 3*a - 230 = 7*a, -2*j - 154 = 3*a. Is j != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70147)\/(-1375) + (-44)\/41250*15?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5365*z**2 + 27*z + 26. Let t be y(16). Suppose t - 3473898 = 2*f + b, -4*b - 2100000 = 2*f. Round f to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 3*x - 5. Let o be l(3). Let c(v) = -v**3 + 5 + 5*v**3 - 5*v**3 - 6*v**2 - 5*v. What is the units digit of c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 1911?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4128 + -4127.47. Does 4\/5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 5. Let w = 15 + -12. Let k(v) = v**2 - 3*v + 2. Let f be k(3). Let y(c) = -4*c**2 + 4*c**f - 3 + c**3. What is w*n(o) - 5*y(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234522948 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 - 5*p + 4. Let l be z(3). Let f = -11 + 15. Suppose 3*t - 5 = -f*h + l, -2*t = 2*h - 30. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/9*2808\/(-21216)*68.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7\/7560 - b**6\/432 - 5*b**4\/3 - 12*b. Let h(t) be the third derivative of y(t). Find m, given that h(m) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/513 and 13\/256695.\nAnswer: 43894845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 4*r - 3. Let n be s(-4). Let f = 5 + n. Let l(u) = -u**2. Let w be l(f). Let c(v) = 6*v - 6. Let m(a) = -11*a + 11. Give w*m(q) - 7*c(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(130 - 60*i - 129 - 76*i).\nAnswer: 136*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1355\/6 - -4989\/22. Find the common denominator of 1\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -140, -22, -6\/13, 0.04, -1\/5, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 2*i - 2. Let a(b) = -b**3 + 5*b**2 + 15*b + 3. Let u be a(-2). Let x(h) = h**2 - 1. Give u*w(s) - 2*x(s).\nAnswer: -s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 - 254. Let n(u) be the third derivative of -u**5\/60 + u**2. Calculate n(d(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 2\/3, 12, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186931924 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (4 + (-174000)\/4). Suppose 18118 = -2*j + 3*i + 724, 5*j - 4*i = -b. Round j to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (2 + sqrt(245) + -2)) + -3 + (5 + (sqrt(500) - 3*sqrt(500)) + sqrt(500))**2.\nAnswer: -100*sqrt(5) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1 - 2 + m**2 - 3*m + 2. Let i(w) = w**2 + 9*w + 12. Let j be i(-8). What are the prime factors of t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 107*r**2 + 38*r + 4063. What is x(-107)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 11. Let b = p - 3. Let d(g) = -5 + g - g**2 + 3*g + 1. What is d(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 9*h**2 - 9*h + 12. Let d be r(-10). Let u = d + 17. Suppose -3*f + 0*f = -5*x + u, 4*x - 5 = -f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201250100 rounded to the nearest 100000?\nAnswer: -201300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 42 - 51 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/63 in 6, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 greater than -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251080424 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3710 or 48212\/13?\nAnswer: 48212\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3871686 is divided by 438.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-6)\/231*-11*7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000634 to 5 dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a + 153. Let z be 1\/1*(-80)\/(-320)*(-132)\/3. What is b(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.1, -1.5, 4, -47\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5494 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(5*sqrt(187) + sqrt(187)))\/(sqrt(55)\/(sqrt(605) + sqrt(605)*-6 + sqrt(605) + sqrt(605))).\nAnswer: -4752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/34799 and -47\/7.\nAnswer: 243593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 4:24 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/594 and 49\/32901.\nAnswer: 592218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 33*q - 564. Let n be l(17). Let g = -3 - -2.8. Which is the closest to 0.1? (a) g (b) 5\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673 (base 8) in base 2?\nAnswer: -110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 8444 = 11*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090*u + 132 + 544*u + 544*u.\nAnswer: -2*u + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*b**2 - 92*b - 3174 = 0. What is b?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*x - 12 - 15 = 0, 0 = -c + x. Suppose 1950 = -0*d + 5*d + 5*n, d - c*n - 402 = 0. What are the prime factors of d?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 - 167 = 4*j. Let c = -96 - j. Solve -3*w + 2*n = -c, 5*n = 4*w - 11 - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/3 (b) 2 (c) -11 (d) 2621 (e) 1\/8 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 4667977.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 7, u: 8, a: 2}. Give prob of sequence rr.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1776 + -3952. List the prime factors of (x\/96)\/((-1)\/51).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-402)\/(-4) - ((-12)\/(-8))\/3. Let q be (-45585)\/j*2\/(-3). Let k = -307 + q. Calculate the common denominator of k and -137\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-35)\/28)\/((-10)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -5 + 14 - (-8 + 9 + -15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x + 25. Suppose -m + 5 + 19 = 0. Let f(p) = 1. Let b(y) = 3*y + 2. Let u(c) = -b(c) - 3*f(c). Let g(r) = -15*r - 24. What is m*u(h) + x*g(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m + 10. What is the lowest common multiple of 3 and s(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56624 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/(2\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6699902, 13399805, 20099710, 26799617, 33499526, 40199437?\nAnswer: 46899350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 45\/640589?\nAnswer: 45\/640589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2653 + -2639. Solve 0 = -g*r - 0*r + 56 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4200) + (2*sqrt(4200) + sqrt(4200))*2))\/(sqrt(18)\/(sqrt(3) + sqrt(24)\/sqrt(8)) + (sqrt(6) - (sqrt(6) + sqrt(12)\/sqrt(2)))*-3).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 + 52 = 0. Suppose -24*n = -s*n + 18500. What is n rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5434596 is divided by 495?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12337 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-10) + -1*2*-2. Solve -m = -z*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyyyyqqyqyy. What is prob of picking 2 y?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from cctczzczcczztc.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -51. Let r be (19 - -5)*(-10)\/75. Is w >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 10*w**2 + 2*w**2)*(0 + 1 + 3)*(0 + 0 - w).\nAnswer: -88*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*b + 101*b = 6320 - 600 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41106, 41766, 42426, 43086, 43746?\nAnswer: 44406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 - 2*n - 1. Let a = -2 - 0. Let l be r(a). Let k be (l\/6)\/(1\/(-4)). Are -4 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 1, j: 3, e: 1}. Give prob of sequence jn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 - q + 6. Let f(s) = -3*s**2 - s + 5. Let c be (6 - 15) + 8*2\/4. Determine c*i(d) + 6*f(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 13) to base 7\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2159\/3250 or -1?\nAnswer: -2159\/3250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 4*g, -g = -5*p + 1 - 2. Let o be (6\/8)\/(1\/4). Suppose -5*n + 6 = -2*n, o*z + 5*n = 16. Solve z*y - y = -g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183*-69\nAnswer: 12627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/4 - 1. Suppose 0 = 5*d - 7*d. Let u be (-16)\/(-14) - d - 1. What is the closest to 0 in u, -1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + 11\/3. Let g = 6346 - 6348. Suppose -3*s + s = 0. Sort p, g, s in descending order.\nAnswer: p, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79338.71 days to minutes.\nAnswer: 114247742.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-13)*26*(-30)\/(-2730)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41139 = 5585*f - 6238*f for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 18 - 22 = 0. Let y(j) = -2*j - 5. Let w be y(q). What is the first derivative of -12*z**w - 5 + 5 - 11 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + (-3670)\/(-50). Let c = -71 + a. Let g be 26\/10 + 2\/5. Solve -2*x - g = -c*u - 1, 2*u + 1 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 605*p + 421*p.\nAnswer: 1047*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 437 + -3611. Let v = f + 3160.47. Let w = 14 + v. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2023\/15 + -135. Sort z, 3, -9.\nAnswer: -9, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**3 - x**2 + x - 1. Let u be h(1). Let g be 8\/u*(-10)\/4. Let c = 5 - g. Solve -5 = -4*q + c*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Suppose 4*l - 32 = -d*l. Suppose -l = -5*b + 3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -3) + -4 - -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 16. Let f be (-4 - -1) + 1 - -6. Let l(a) = 2*a**2 + a + 15. Let g(x) = f*l(x) + 3*h(x). Let p be g(6). Solve p*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16*p = -11*p + 1940, -3*p - 1934 = -5*m. Calculate the highest common divisor of m and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r)**(-10))**47)**5 assuming r is positive.\nAnswer: r**(-4700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82194 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(24\/(-4))*-1*((-12048)\/(-204) + -59)?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/308*11*12\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*z = -237 + 18656, -3*h + 2*z = -18461. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, -2, 3, -27, 5 in descending order.\nAnswer: 175, 5, 3, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19 + 4 + 14 + 4155*z.\nAnswer: 4155*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = -2*z, 3*z = 5 - 2. Solve 5*m = -5*c + 3*c + j, -18 = 3*c - 4*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 479, 713, 943, 1169, 1391?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**5 + 5\/12*d**4 + 0 + 0*d**3 - 1\/28*d**8 + 0*d**6 - 3*d + 0*d**7 + 0*d**2. Find the third derivative of g(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 13 + 1\/12*h**6 - 1\/3*h**3 + 9\/10*h**5 + 7\/4*h**4 - 7\/2*h - 15\/4*h**2. Factor a(g).\nAnswer: (g - 1)*(g + 1)**3*(g + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39\/20 - 11\/5. Let o = 0.05 + -0.08. Let i = 0.27 - o. Sort -0.1, p, i in decreasing order.\nAnswer: i, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033*r + 31441 = 451. Let k(s) = 3*s**2 - 2*s + 3. What is the remainder when k(-5) is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15)*(-20)\/(-16))\/(9\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 503, 519, 539, 557, 567, 563, 539, 489?\n\"Answer: -z**3 + 8*z**2 - z + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-1))\/((-18)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -718*b**2*q*z**2 - 12*b**2*z - 144*b*q**3 - 5*q**3*z**2 wrt z.\nAnswer: -1436*b**2*q - 10*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574932497 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + m**2\/2 - m + 705. Let t(r) = -5*r**3 - 7*r**2 + 6*r - 6. Give t(x) - 6*w(x).\nAnswer: -5*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**3 + 8*c**2 - c. Let h(d) = -2*d**3 - 4*d**2. Suppose 4*a - 3*a + 16 = 3*u, -5*u = -4*a - 29. Let p(q) = u*h(q) + 2*l(q). Factor p(y).\nAnswer: -2*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12382?\nAnswer: 24764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -79*x**2 + 167*x - 473. Let d(m) = 190*m**2 - 417*m + 1182. Let l(t) = -5*d(t) - 12*g(t). Give l(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 + -62. Suppose -u = -4*b + 2*g, -2*b - 2*g - 2*g = -48. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9418 divided by -17?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -j + g + 62, 5*g = -3*j + 261. Suppose 8*x - 434 = -j. Calculate the smallest common multiple of 20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121211102021 + -1?\nAnswer: 121211102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(153) + sqrt(153))\/sqrt(9) + -1 - (6*(sqrt(17) - (sqrt(102)*-2)\/sqrt(6)) + 1)**2.\nAnswer: -5510 - 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -896838 - -896838.1499994. Let o = p + -0.15. What is o rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/5 + 75672*s**2\/5 - 756872*s\/5 + 1816608\/5 = 0.\nAnswer: -37846, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-369)\/(-1148) + 18\/(-24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 + 8*t - 19. List the prime factors of w(-8).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -729 - 4*o + 3*o**2 + 719 + o**2. Is i(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 4915*a + 1. Let w(v) = -7*v. Give g(w(k)).\nAnswer: -49*k**2 - 34405*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 32 - 12. Suppose 25 = -f - 5*y, 4*f - 2*y + 1 = h. What is the closest to f in 0.1, 4, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1 + (-1)\/(24\/(658152\/(-3927)))\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13227 - 1093106702?\nAnswer: -1093119929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, c: 1, q: 1, d: 1}. Give prob of sequence od.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.07 - 71.07. Let i(h) = h - 3. Let v be i(5). Suppose f - v*f = 0. Which is the nearest to f? (a) 0.3 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21092471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 398907 equal to 797815\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3685*a + 70002. Give h(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-3))\/(4\/(-36)). What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376522513 - 4?\nAnswer: 376522508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77621 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 19*u - 57*u = 35208 - 33080 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845, 1682, 2517, 3350, 4181?\nAnswer: 5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/6 + 5\/6*h**2 - 13\/6*h + 1\/6*h**3.\nAnswer: (h - 1)**2*(h + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -10. Let b = 6 - k. Let s = 18 + -17.3. Put 0.5, s, b in increasing order.\nAnswer: 0.5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78*(12\/16)\/((-27)\/(-18)). Calculate the greatest common divisor of 18 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/30 + 29*l**5\/20 + 34*l**4\/3 + 97*l. Find the third derivative of v(o) wrt o.\nAnswer: -24*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 50*p. Let z(s) = -905*s + 1. Give w(z(c)).\nAnswer: -45250*c + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(7\/(-42)). Suppose -2*p = -x*a + p + 789, 0 = 5*a - p - 1307. Suppose -2*g + n + n + 106 = 0, 0 = 5*g - 4*n - a. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4 - 7) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98 + 8?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5518784744?\nAnswer: 2, 11, 47, 1334329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t. Let m(c) be the first derivative of -c**4\/4 - 7*c**2\/2 - 6. Determine -6*m(w) - 7*s(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 3*l + 126 - 100, 2*s + 4*l - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11972014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t*w**4 - 4*t*w**3 - 129*t*w**2 - t*w - t - 7741*w**4 + 2*w**3 - w**2 - 1 wrt w.\nAnswer: -96*t*w - 24*t - 185784*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248853276 by 1.\nAnswer: 248853276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7317 + 7346.894. Let l = 39 - 9. Let x = l - h. Round x to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197.134 - -197. Let d = f + 0.188. Round d to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 488461*b**3*g**2 + 5846*b**2*g**2 - 9*b*g**2 wrt b?\nAnswer: 2930766*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - l**4 + 4*l**4 + 7*l**3 - 7*l**3 + (-1 + 0 + 3)*(-l**3 + l**3 + l**4) + (2 + 2*l - 2)*(-6*l**3 - 1 - 2 + 7*l**3) - 23*l**3 + 9*l**4 + 23*l**3.\nAnswer: 16*l**4 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*m - 11 = 0, 5 = 5*p - 4*p + m. Suppose -2*r + 0*r = 0. Let i = 75 + -52. Solve -12 = -3*w - r*w, p*w = 5*z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 33*v**2 - 16*v - 3. Calculate z(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)*b*b)**9*(b**(-3\/8)\/b)\/(b*((b\/((b\/((b**(1\/7)*b)\/b))\/b*b))\/b)\/b) assuming b is positive.\nAnswer: b**(853\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkddgdddkgvvddddf. Give prob of sequence vd.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3 - 80*w**2 + 798*w = 0?\nAnswer: 0, 19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/2 - 11. Let h(o) be the first derivative of 2 + 1\/4*o**4 + 5\/3*o**3 + o - d*o**2. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*o**5 + 3 + (0*o + o + 0*o)*(-69*o**4 - 56*o**4 - 29*o**4) - 6*o**5 + 4*o**5 - o**5 + (o**3 + o**3 - o**3)*(0*o**2 - o**2 + 3*o**2).\nAnswer: -153*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyn. What is prob of sequence yny?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01297*-1\nAnswer: -0.01297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -82. Let f = -7 + 7.3. Which is the third smallest value? (a) v (b) f (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88.8 - 94. Let k = -1.2 - y. What is the closest to 0 in -0.1, 5, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/24 - 125*g**3\/6 - 15625*g**2\/4 + 1488*g. Factor s(j).\nAnswer: -(j + 125)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 143. Let t be n(14). Let w = t + 140. What are the prime factors of w?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 2*u**2 - 15*u + 2. Let k(m) = -21*m**3 + 11*m**2 + 76*m - 11. Give 6*k(v) + 33*q(v).\nAnswer: 6*v**3 - 39*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z + 97*z + 85605 = 1319*z for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-6 + -2) - -14) + -9 + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95335832 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0169? (a) -6 (b) -2 (c) 185 (d) 0.01 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 + 7*s - 12. Let h be 6*(-13)\/273 - 46\/(-14). Let f(q) = 5*q**2 - 3*q + 6. Determine h*i(b) + 7*f(b).\nAnswer: 2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 1. Let i(k) = k**2 + 3*k - 14. Let l be i(6). Let c = l + -38. Let r be h(c). Solve 0 - r = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -7. Let m(u) = 4*u + 10. Is m(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 13*i = 3*i - 24. Solve i*n - 18 = u, 3*u - 8 + 7 = -2*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9089442 is divided by 4544709?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 62 - 14. Solve -w**3 + 25*w**5 - 45*w**4 - 16*w + 4 + 22*w**2 - g*w + 19*w**2 = 0 for w.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*b - 15, 4*b = -0*i + 4*i + 20. Solve -l = -6 + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3585 and -1\/5824?\nAnswer: 20879040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62461 (base 7) to base 9.\nAnswer: -23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290\/99 + -28\/9. Which is the second smallest value? (a) -2\/9 (b) s (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 3:59 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 4 - (-1 + -1)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**3 + 4*k**2 + 6*k - 4. Let m(w) = -7*w**3 + 5*w**2 + 7*w - 5. Let t(g) = -4*m(g) + 5*s(g). Find d such that t(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -55\nAnswer: -98\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 2*u - 2*u)*(2 + 0 + 0)*(-u**2 + u**2 + 3*u**2).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2113480 and 220.\nAnswer: 23248280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 409 and 1.101258?\nAnswer: 450.414522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 1933424*m\/3 - 467266045472\/3.\nAnswer: -2*(m + 483356)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*t - 28 = 2*i, -4*t = 3*i - 35. Is (i + -2 - 0)*2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3361*u**3 + 6 + 3287*u**3 - 6 + 6*u**2.\nAnswer: -74*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**3 + q**2 - 2639*q + 2639*q - 1474*q**3 + (-4 - q + 4)*(-q**2 - 1 + 1) - 2*q**3 + 3*q - 3*q + 5*q**3 - 3*q**3 + 0*q**3.\nAnswer: -1472*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -326, -631, -1088?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 141 = 4*r + o, 5*r + 5*o = 195. What is the hundreds digit of r\/66 + (-22815)\/(-99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9432\/432 - ((-116)\/(-24) + -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**6\/240 - q**5\/60 - q**4\/3 - 12*q. Let k(r) be the third derivative of u(r). What is k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 11*g**2 - 3. Let f be s(-11). Let m be 4\/f*27\/(-12). Suppose 0 = m*d + 10 + 8. Let h(c) = c**2 + 9*c + 8. What is h(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.151 (b) -1\/4 (c) 2\/7 (d) 258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -465600 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s - 106*s - 176*s - 32*s + 3.\nAnswer: -334*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - 37536\/6624?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.15 and -0.0251.\nAnswer: 0.1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3 - 19. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-613650)\/(-60) - (-5 - 1))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 144 = 4*u, -4*u = 27*f - 608 + 856 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 161635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l**3 + 21*l**2 + 21*l. Let x(n) be the first derivative of -3*n**4\/4 - 4*n**3\/3 - 2*n**2 - 20. What is 4*i(b) + 21*x(b)?\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -111\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 15. Determine x(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - u = -4215, 22*u - 26*u = -5*k + 3498. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:37 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-14 + 12 - (-2 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1488 - 1491. What is the closest to -1\/5 in l, -2, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310100962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 13 + 3)*(-28*u**3 - 58*u**5 + 28*u**3).\nAnswer: -2146*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/1260 - r**6\/360 + r**5\/30 - r**4\/12 + 2*r**2. Let w(u) be the second derivative of h(u). Factor w(y).\nAnswer: -2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxppxxpxpppppppxx. Give prob of picking 3 p.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 44616 = 5229. Does 69 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 - 262 - (-100 - -14)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -33*g + 6. Let c be i(0). Let d(v) = 8*v**3 - 3*v. Let a(q) = 7*q**3 - 2*q. Give c*a(n) - 5*d(n).\nAnswer: 2*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8 - 7 - -4) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**3 + 24*m**2 - 58*m - 376. Does 106 divide v(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, o: 4, d: 7}. What is prob of picking 4 o?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 2492466 + 2492466.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6913273 divided by -3\nAnswer: 6913273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72165 + -33227. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 0*x**3 + 0*x**3)*(3*x**2 + 2 + 4*x + 10*x - 9*x).\nAnswer: 9*x**5 + 15*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12*6)\/(5\/((-30)\/3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -67. Let d = 38.23648 + 0.00352. Let k = n + d. What is k rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12212 greater than or equal to 12213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16. Differentiate 9*z**3 - z**d + 0*z**3 + 0*z**3 + 3 with respect to z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109117\/16 + -6817. Let g be (-1)\/(-3) + (-920001)\/(-126). Let v = -7295 + g. Find the common denominator of h and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = f, -f - 2*h - 11 - 1 = 0. Put f, 8, -4 in descending order.\nAnswer: 8, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3168)\/660 - (-3318)\/35.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 500, 2004, 4510, 8018, 12528?\n\"Answer: 501*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92197320?\nAnswer: 2, 3, 5, 251, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6841 is divided by 201.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9071 - -99783\/11. What is the nearest to -2 in c, -3\/4, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3595\/7182 - -2\/3591. What is the nearest to -1 in n, 3, 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y**2. Let j(g) = -246138*g**2 - 3*g. Determine j(i(l)).\nAnswer: -88855818*l**4 - 57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 321077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, -5, 21467.\nAnswer: -5, -4, -3, 5, 21467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(68)\/sqrt(4)*-6 + ((-2*sqrt(153)*5 - sqrt(153)) + sqrt(153))\/(sqrt(45)\/(sqrt(15)\/sqrt(3))).\nAnswer: -70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 123414 (base 9) to base 16\nAnswer: 123c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3127109 days to nanoseconds.\nAnswer: 27018221760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let j = g + -1.8. Put -3, j, 0.4 in decreasing order.\nAnswer: 0.4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -3, 16, 55, 120, 217, 352?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54\/12 - (-3)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 71 - 0. Suppose 8 = -7*t + a. Suppose t*o + 68 = 5*o. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/20 - 11*s**4\/12 + 11*s**3\/6 - 11*s**2\/2 + 12*s. Calculate the remainder when 3 is divided by a(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48921*m*p - 2*m + 269320*p wrt m?\nAnswer: 48921*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4059 and 3911072?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -42*h - 63. Determine d(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 4 - 2 - (-90 + 87).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -5, 1, 30, -3\/4, -2.\nAnswer: -5, -2, -3\/4, 1\/7, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77827595143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40, -2, -2\/15, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -321*d + 43686. Give b(136).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -236. Let a = b - -16. What is the nearest to 0.3 in 4, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 4 + 2 - 7)*(2*p + 1 - 1).\nAnswer: 12*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 143.7. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 6078.5?\nAnswer: -30392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 595\/3*(-276)\/(-230). Solve d = 14*c + 280 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 - -203. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/15723 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*h + 4*x, x - 4 - 1 = 0. Let t = -19 - h. Solve -14 + 4 = g + 4*m, -2*m = t*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*q - 76, -601*d + 597*d + 52 = q for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10 and 95\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rutu. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -3213203551?\nAnswer: -3213203545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9754, -18079, -26404?\nAnswer: -34729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.42?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4050 and 1458?\nAnswer: 36450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -18\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162368 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -62. Let q = -16.7 - o. Let l = q - 2.3. What is the closest to -0.1 in l, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30310193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -707 + 707.5. Let g = 19.2 + -22.2. Let h = 0 + -0.2. What is the fourth biggest value in h, -1\/4, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - n - 14, 3*w - 24*n + 27*n - 12 = 0. Suppose -4*p = -5*t - 53, 0 = -p + w*t - t + 17. Calculate the greatest common factor of p and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*s - 285*s = -99115 + 2271 + 15888 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -626dab + 1?\nAnswer: -626daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 12872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 0*s**5 + s**5 + (1 - 2 - 1)*(-s**5 + 4*s**5 + 7*s**5).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*d - 88. Let n = d + -59. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -2, 3 in descending order.\nAnswer: 7, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/9 - 128*f**3\/9 + 1126*f**2\/9 - 620*f\/3 + 96 = 0.\nAnswer: -72, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120600, -120603, -120606, -120609?\nAnswer: -120612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 10 = 5*c + 9*z, 0 = -4*c - 4*z + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - 6 = 0, 5*q - 91 = -2*i. Suppose 55 = 4*r - i. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94079808, -5\/6, 2\/9, -1, -0.1 in descending order.\nAnswer: 94079808, 2\/9, -0.1, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1.097, 24, -2\/5?\nAnswer: -1.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -51*a**2 - 125. Let d(u) = -3*u. Determine d(t(n)).\nAnswer: 153*n**2 + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3420, -14019, -31760, -56643, -88668, -127835?\n\"Answer: -3571*m**2 + 114*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 50. Is (-1992)\/r + (-3)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(2))\/sqrt(2) - (sqrt(3) + sqrt(3)*-1*-2 + sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = -4*w, -7*z + 1 = -8*z. Let g(t) be the first derivative of 3\/2*t**2 + 3*t + 1\/3*t**w - 5. Calculate g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -843402*h. Let t(y) = -y**2. Calculate t(g(c)).\nAnswer: -711326933604*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229236692.\nAnswer: 2, 3, 19, 5391389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhcchhccchhhn. What is prob of sequence cch?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49754 plus -1461?\nAnswer: -51215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -281174, -562186, -843198?\n\"Answer: -281012*c - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10156\/3 - -60857\/18. Calculate the common denominator of -26\/27 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5\/2 - 11128265*j**4\/2 - 6191908531375*j**3\/2 + 6191919659645*j**2\/2 = 0?\nAnswer: -1112827, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157234, 314460, 471686, 628912, 786138, 943364?\nAnswer: 1100590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133471996*q**2 + 152990626*q wrt q?\nAnswer: 266943992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/60*6*(396\/528)\/(513\/24).\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(20)\/sqrt(4) + (sqrt(5) - sqrt(360)\/sqrt(8))))**2*2*-2.\nAnswer: -3000 - 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzzztlr. Give prob of picking 1 l and 2 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 0 + -2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/69 and 7\/2.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**4 + 2*z + 28\/9*z**3 + 32\/9*z**2 + 4\/9 + 2\/9*z**5.\nAnswer: 2*(z + 1)**4*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -7\/8*w**4 + 1\/10*w**5 + 0*w + 5\/3*w**3 + 0*w**2 + 154. Factor x(z).\nAnswer: z**2*(z - 5)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((3 + 245\/(-105))*(-1)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - m = 6*z - 258930, 0 = -4*z - 2*m + 258928. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*z + 105*z - 5184 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 16) to base 8\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1428 (b) -3\/5 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -4 (c) -166 (d) 5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = 2. Let s be 2*(1\/2 - y). Suppose -g + 3*l - 6 = -1, s*g = -3*l + 11. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 15. What is the least common multiple of 48 and ((-9)\/15)\/(l\/40)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503 (base 6) to base 10.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 * 191.156\nAnswer: -4.205432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1695610 and 12.\nAnswer: 10173660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, 4\/149, 0.5, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - 9*f**3 + 3*f - 2*f - 5*f**3 as a + p*f**3 + z*f + b*f**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 + 5*v - 10. Suppose -450*p + 455*p - 25 = 0. Let w(s) = -8*s**2 - 6*s + 12. Let i(o) = p*w(o) + 6*q(o). Let y(z) = 6*z - 7. Determine y(i(d)).\nAnswer: 12*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -349 + 353. Suppose -b*a + 1851 + 2977 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*r**3 - 3*r + 160*r**3 + 157*r**3.\nAnswer: 7*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98400 and 9902976.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -798214, -798180, -798118, -798016, -797862?\nAnswer: -797644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2939 * -14.\nAnswer: -41146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5))\/d)**(-31)*(d**(-17)\/d)\/d**(-1\/13) assuming d is positive.\nAnswer: d**(1782\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/60 + 5*o**2. Let u(c) = c. Give u(y(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.561 less than 0.015?\nAnswer: 42.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372201045 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 25*i + 19815. Let p = i - 2733. Round p to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1178\/381?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.26 + 1077724.\nAnswer: 1077778.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.398533 to 3 dps.\nAnswer: 0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-1)\/2). Let s = o - 0. Let a = s - 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - (7 - 1 - -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j - 335 + 175 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 27*t + 3. Let f be 2\/9 + (-97)\/(-9). Let u be k(f). Suppose -75 = -u*v + 64*v. What is the greatest common factor of 105 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 50 = 38. Solve 3*h = -2*j - g, 3*j + 3*h - 1 + 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.81? (a) 11747 (b) 1 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let g(c) = -100329*c**2 + 4*c + 2. Calculate g(s(d)).\nAnswer: -401316*d**2 - 8*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aao. Give prob of picking 1 a and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -431118640?\nAnswer: -431118639.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/6)\/(15\/(-18)). Let f(x) = 2*x**i + 0 + x**2 + 0. Let r(n) be the third derivative of -n**4\/12 + n**2. Give f(r(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 261*q**3 - 265*q**3 - 4*q**2 - 13*q + 50*q**2 + 8 + 14*q to the form c*q + o + h*q**2 + p*q**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*x - 651 = 0, -2*x = -4*v - 7*x + 661. Suppose 109 = 2*k - v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798*j**2*w**6 + 2*j**2*w**3 - j**2 - j*w**2 + 26*j wrt w.\nAnswer: -95760*j**2*w**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -3. What are the prime factors of (-549)\/(-15) + 3 - o\/25?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, y: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-25)\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u**2 - 19*u - 8. Let g(k) = -7*k**2 - 6*k - 3. Let r(n) = 8*g(n) - 3*y(n). What is the second derivative of r(w) wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449213860.\nAnswer: 2, 5, 269, 83497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513651*f**3 + 161934*f**2 wrt f.\nAnswer: 3081906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 2*d - 7. Let z(c) = 4*c**2 - 10*c - 8. Let v(t) = -8*t**2 + 22*t + 16. Let f(s) = 4*v(s) + 9*z(s). What is -5*f(a) + 6*h(a)?\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3156*m + 28420 = 124295 + 14585 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from eeeegeeeeeeegg?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6292241 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 80*y - 44. Give b(-40).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 679*d**5 + 3*d**2 - 17?\nAnswer: 40740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2234*h = 2236*h + 8. Suppose -4*m + 26 = -2*t, m = -5*t - 2*m. Sort h, -6, -5, t.\nAnswer: -6, -5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g + g + g)*(-1 - 1 + 0) - g + 2*g + 0*g + 13*g + 6 - 6)*(-1 + 1 + 5*g)*(-4 + 0 + 2)*(-1 + 1 + g).\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.089 in 0, -0.071, -273, 5?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -63*d + 65*d - 6, -d = 5*s - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {n: 4, l: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/((((-120)\/(-9))\/20)\/((-16)\/12)). Let v be (-48)\/8*(-4)\/6. Suppose -3*b - v*q - q + 101 = 0, -4*b + 163 = q. Is t less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 2\/11 (b) -2 (c) -6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2622)\/115)\/57*(-10)\/(-114).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/9*(-1 + (-7)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1.78. Let k = q - 0.18. Let c = 13\/5 + -89\/40. What is the nearest to -1 in c, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110572, 2, 18, 4, -9 in descending order.\nAnswer: 110572, 18, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v. Let y(j) be the third derivative of -7*j**4\/24 + j**2. Suppose 3*c - 18 = -0*c. Calculate c*w(s) + 5*y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 17. Let n(q) = q - 2. Let s be n(g). Suppose x - 5*u - 12 = 6, -s*x - u + 25 = 0. Calculate the greatest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 15 = 7*d + 5*i, -4*d + 26 = 3*i. Solve d*c - 2*c = 3*u, u = -5*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1687 divided by 9529?\nAnswer: -1687\/9529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -940, -3597, -7980, -14089, -21924?\nAnswer: -31485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 4.92. Let j(x) = 8*x**2 + 6*x + 4. Let f be j(-4). Let u = -970\/9 + f. Which is the third biggest value? (a) i (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127*r*t**2 + 373*t**2 wrt r?\nAnswer: 127*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*j = -98*j - 3*y + 51400, -4*j - 4*y = -102796. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204540798.\nAnswer: 2, 3, 7, 11, 63247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3161 is divided by 1541.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da9 (base 14) to base 10.\nAnswer: -2697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.081 - 0.096. Let h = 0.131 + r. Let f = 1.116 - h. Which is the closest to 1? (a) 0.9 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -26. Suppose -j = -2*j + b. Let k = j - -3. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from qqjjqj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4255 + 8702. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -957, -952, -931, -888?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-5*((-6)\/(-9))\/(450\/405).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 6:03 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a + 2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppcqgqqccp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005754 rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 43 - 41, 0 = 5*h + 3*y - 706. What is the lowest common multiple of 20 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -15) + -3 + -8. Which is the closest to 16? (a) 0.3 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/((-35235)\/(-324)))\/(4\/90)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 18*u - 6. Let d be c(15). List the prime factors of (-1)\/2 - d\/4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14162?\nAnswer: 2, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, 3\/7, -4\/5, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**25))**(11\/3)\/(g*g*g*(g\/g**(41\/3))\/g*(g*g**30\/g)\/g))**(-49) assuming g is positive.\nAnswer: g**5390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.23706nm in kilometers?\nAnswer: 0.00000000000923706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from ahffafaahaqqa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -18*c - 2\/7*c**3 - 34\/7*c**2 + 162\/7 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**5 - 612*c**4 - 764*c**3 + 22308*c**2 + 74200*c + 51744 = 0.\nAnswer: -4, -3, -1, 7, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l - 695 = 85 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 617244 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 28 = -2*q. Let y(u) = -u**3 + 5*u**2 + u - 7. Let l be y(5). Calculate the smallest common multiple of 0 + l + (2 - -2) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44452.18l to millilitres.\nAnswer: 44452180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 0 - 20, -5*n + 10 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1591 - -1590. Let x = -1.99 - 0.01. Which is the second biggest value? (a) 19 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 345 = 14*a. Let s = a + 118. Let w = 49 - s. Solve 10 + w = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.4, -11, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:32 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 887 + -863. Solve h = -9*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*j*j*j*j**(1\/6)\/j*j*j*j)\/j*j**(-6)*j*j*j**3*j\/j**(-3))**(2\/55) assuming j is positive.\nAnswer: j**(67\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -96, -114, -134, -156, -180, -206?\n\"Answer: -b**2 - 13*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 1 + 5 - 4*q + 71*q + 7 to the form k + o*q and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.562 - 0.138. Let u = 11 + -11. What is the biggest value in y, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*18.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/5 (b) 0 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:48 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1299*a**7\/70 + 265*a**5\/4 + 8*a**2 + 19*a. Find the third derivative of i(s) wrt s.\nAnswer: 93528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*v = 0, -2*f + v = -2*v - 15. Suppose 12 = f*g + g. List the prime factors of 1*(0 - g) + 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11022, -10465, -9550, -8289, -6694, -4777?\nAnswer: -2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 11, w: 1}. Give prob of picking 2 l.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614*u + 54455 = -147929 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 858*a**3 - 3*a**2 + 4*a - 15. Let f be r(8). Suppose -4*n = -3*b - f, 87001 - 416363 = -3*n - 2*b. Let j = 269784 - n. Round j to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*w = -12, 0*w + 6 = 3*i - 3*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100000000010101011 + 0?\nAnswer: 1100100000000010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 70*k. Calculate x(-70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3 = -z, 16*g - 11*g + 12 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 0 (d) 0.247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.247 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/5? (a) 1\/8 (b) -229.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*m - 11, -1 - 5 = -3*m. Let j = b + 8. Is 1\/(((-3)\/(-45))\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/553650 and -167\/553650?\nAnswer: 553650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5387*t - 576. Is c(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1000)\/((-3873111)\/553300 - -7). What is w rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 5*d**2 + 4*d - 3. Let p = 11 - 8. Let n be t(p). Suppose -5*j + 5*s = 0, 5*j - j - n = -5*s. Let u(v) = -v - 1. Give u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5182236 - -31\nAnswer: -5182205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4260 (base 7) to base 10.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3091\/174 + 107\/6. Which is greater: -0.04 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 4*r + 2. Let q(l) = -l**2 + 8*l + 6. Let s be q(9). Let w be j(s). Suppose 0 = w*h + 5 - 45. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-4\/11)*x*x**2\/x*x assuming x is positive.\nAnswer: x**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 11*w)*(2 + w - 2) - 11 + 11 + w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.639 - 0.061. Let i = 0.7 + u. Let r = 10.4 + i. Which is the second smallest value? (a) -4 (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*a - u, -3*a - u = -3*u - 34. Solve -3*q = q + a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 483, 726, 969, 1212?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(5\/2))**7\/(c**(-23)\/(c\/((c**(-4\/17)*c)\/c))))**(-50) assuming c is positive.\nAnswer: c**(-11675\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1123*z**2. Let j(r) = -5*r + 4278 - 1422 - 1431 - 1425. Determine j(k(u)).\nAnswer: 5615*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/3)\/((-16)\/(-24)). Suppose -4*o + 0*o + 28 = 3*j, 0 = -4*j + 5*o - s. Let a be -1 - (-1)\/((-2)\/(-8)). Solve -j*m + 1 = -a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 23*c - 8. Calculate f(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-163924)\/(-28) - (9 - 268\/28)?\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3) - sqrt(3888)) + 5 + (sqrt(3) - (sqrt(3) + sqrt(3) + 1)))**2.\nAnswer: -19520 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 14955\/(-555)) + (-10)\/37*(-574)\/(-1015)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:44 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 19 = -6*g + g, 2*g = v + 1. Suppose 0 = -2*y - 4*x + 72, -3*y - 66 = -5*y - g*x. What is the remainder when y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 3021020222?\nAnswer: 3021020303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1044*s - 1044*s - 1044*s**5 + (-3 + 0 + 4)*(3*s**5 + 0*s**5 - 5*s**5) - 4*s**5 + 5*s**5 - 2*s**5 + (0 + 0 - 2)*(-s**5 - 2*s**5 - s**5).\nAnswer: -1039*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/35)\/(((-100)\/(-70))\/(-5))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 30*c + 2. Let y be f(10). Suppose 6*d = y*d - 23040. What is d rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2337, 4683, 7009, 9309, 11577, 13807, 15993, 18129?\n\"Answer: -y**3 - 4*y**2 + 2365*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -12441705?\nAnswer: -12441711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*u + 4*c - 10, 2*c = -5*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 210349077*q.\nAnswer: -3*q*(q - 70116359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11129 - 9?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3363 - 4507 = -8*x. Calculate the remainder when 152 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1438*c = -1437*c - 54544, 27270 = 2*z + c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -95. Let g = 2 - 3. Let n be (11 - (24 + -16 + 8))\/(1*-5). What is the closest to n in d, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 2034.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8712 rounded to 2 dps?\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 14 + 16 + -32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*((-1218)\/1044)\/((-14)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0 + 0*y**4 + 0*y**5 + 1\/15*y**6 + y**2 + 0*y**3 + 3*y. What is the first derivative of d(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 f when three letters picked without replacement from {m: 2, f: 1, z: 1, w: 1, r: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(324)*3 - sqrt(36))\/sqrt(12) + -3)*-5*3*-1)**2 + 1.\nAnswer: -10800*sqrt(3) + 45225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 18 + 26 = 0. List the prime factors of (281 + 1)*4\/z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:35 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/3 - 18934*l\/3 - 188740 = 0. What is l?\nAnswer: -9437, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 - 32 = 0. Let s be (-3)\/(-7)*(m - -7). Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 1740 = 17*m. Let t = m - -747. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597319359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*t**3 - 82*t**3 + 270*t**3 - 67*t**3 - 128*t**3.\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(4\/(2\/(-2)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 + 12*c - 38. Let h be b(7). Suppose -139 - h = -8*t. What is the remainder when 191 is divided by t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/42 + 16975\/735. Suppose 33*r - q*r = 160. Solve 19*g = r*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 5 (b) -1\/5 (c) -0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -21*r - 9. What is the lowest common multiple of d(-2) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.038 and 87.27.\nAnswer: 90.58626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 40875132.\nAnswer: 40875132.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 3*c**2 - 2*c - 4. Let q be d(-3). Let y(o) = -2*o - 2. Let v be y(q). What are the prime factors of ((-2)\/v)\/(2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 223.603.\nAnswer: 219.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1623 + 1621.69. Let w = 4.79 - 4.6. Let j = w - n. What is j rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 2*k**2 - 3*k + 2. Let v be q(-3). Let p(r) = 177*r**2 + 6 + 179*r**v + 9*r - 357*r**2. Calculate p(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 33. Let c(m) = 3*m - 1. Let i be c(a). Let b be i\/17 + 1080\/2380. What is the closest to 1 in 0.1, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -855227412*k**3 + 1135068451*k.\nAnswer: -5131364472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 8. Let u be r(-4). Let t be (-1)\/u - (-99)\/36. Let d = -3 + 2. Is t smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 30 = 14*z. Suppose z*s = -7*s - 9. Let k(l) = -109*l + 2. What is the units digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314916689 a multiple of 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 2\/3, -10031.33?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18245 (base 11) in base 13?\nAnswer: b849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2*-1 + -2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-52)\/(-7))*(-234)\/(-130)*(-20)\/(-42)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4279, 4418, 4557, 4696?\n\"Answer: 139*z + 4140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 52370*l**3 + 52351*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(28 - 81 + 35 - 2*c).\nAnswer: 4*c + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:42 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 45 in descending order.\nAnswer: 45, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2309444 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/8)*(g*g*g*g\/(g*g\/(g*g\/g**(3\/20)*g*g))*g)\/g assuming g is positive.\nAnswer: g**(209\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 0*c - 2*c**3 + 9*c**2 - 2*c**3 + 3 + 3*c**3. Let w be s(4). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44234 + -40829.1. What is g rounded to the nearest 10?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*q = -6363 + 6344, 1036 = 4*i + 348*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, m: 1, i: 2, w: 1, r: 8, b: 1}. Give prob of sequence irwr.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - n = -9, 5*n - 18 = -3*a + 5*a. Suppose -5*j = -4*j - 2. Suppose 2*o + 22 = j*k, 29 = 2*k - 5*o + a. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 84453.\nAnswer: 253359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from jjjuuzu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {k: 1, s: 1, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*r + 570 - 448 = 0, 2*z - 58 = 3*r. Let f(h) = h**3 - 8*h**2 + 4*h + 8. Let y be f(8). What is the greatest common divisor of z and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 + 0*i**2)*(-11*i**3 + 18*i**3 + 10*i**3 + (-2*i**2 - 4*i + 4*i)*(5 - 5 - 2*i) - i**3 - 4*i + 4*i).\nAnswer: 40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 10*j + 12*j - 7, -c + j - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152234701?\nAnswer: 1879, 81019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 - 54*n**2 - 243*n = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 48*f - 1567. What is i(32)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3287b?\nAnswer: 3287a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 + 44*x**2 - 128)*((4*x**2 + 4*x**2 - 2*x**2)*(-6 + 4 + 3) + 3*x**2 - x**2 - 6*x**2).\nAnswer: 88*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58257 + 58082 = -10*t - 25*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1 - 4)*-1. Let u(t) = -4*t**2 + 14*t + 3*t**3 - h*t**2 - 17 - 2*t**3. Is u(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/5655 and -163\/45240.\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 3 = 11*x - 3*m, -3 = x + 3*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/14 - -8\/7. Let c = v - -41\/30. Let y = -0.2 - -0.3. What is the second smallest value in y, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/495 and (-11)\/(132\/16)*(-111)\/(-16).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhh. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 16. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25642*h - 55 - 57 - 50 + 162.\nAnswer: 25642*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(200) + (sqrt(200) - -2*(sqrt(200)*-3)**2) - ((sqrt(200)*1 + 3)**2 + (sqrt(200) - (sqrt(200) + 1 + (sqrt(200)*1 - sqrt(200))**2)))).\nAnswer: -6774 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m - 452. Let h be v(19). Solve o = -3*o - 12, 10 = h*i - 2*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68705.5 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 0.03 (c) -247 (d) 701 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.4. Let r = -1.4 - p. Let v = r + 1.9999984. What is v rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 73 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 302201100 (base 4) to base 11\nAnswer: 131517","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 14*b + 18. Let g be d(-13). Let a be (8\/10)\/(6 + (-140)\/25). Solve -4*u + 3*u + 3*r = 3, 4*u - a = g*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 3902799?\nAnswer: 101472774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/19 - 170*z**4\/19 - 12826*z**3\/19 + 54666*z**2\/19 + 67320*z\/19 = 0. Calculate z.\nAnswer: -51, -1, 0, 5, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**7\/a)*a*a)**(-9\/5))**(12\/13) assuming a is positive.\nAnswer: a**(216\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -328. Suppose -3*c + q = -335. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 366 and 374 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g + 2. Let d(r) = -2 + 2 - 8*r + r - 2. Let x = -200 + 196. What is x*c(a) - 5*d(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5)*a*a\/a**27)\/((a*a**(4\/11)\/a*a*a)\/(a**(-10)\/a)) assuming a is positive.\nAnswer: a**(-466\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70 - 437*y**2 - 109 - 116 + 4*y - 49 + 2*y wrt y.\nAnswer: -874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 313 = -280. What is the highest common divisor of 21 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.5 + 15.1. Let f = 5.1 - y. Which is the smallest value? (a) f (b) -3\/4 (c) 1\/3 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89100 minus -0.5?\nAnswer: -89099.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 215. Let o(q) = -q**3 + 5*q**2 - 6*q + 2. Let i be o(3). Let n(a) = -59 + 117 - 58 + i*a. Determine n(x(g)).\nAnswer: 2*g - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*g + 6 = -15, g = 0. Let u(k) = -5*k + p*k - k. Let r(f) = 5*f**2. Give u(r(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7169*l. Let s(t) = 355*t. Give o(s(r)).\nAnswer: 2544995*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -400384750 divided by -837625\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23779399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 + 2*i - 4. Let t be j(-6). Suppose 0 = 4*l + 528 + t. Round l to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 2*s - 1. Let y be m(-1). Suppose -q - 13 = -4*r, -4*r - y*q = -5*q - 14. Factor 0 + 2\/3*h**r - 2\/3*h**2 - 4\/3*h.\nAnswer: 2*h*(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*j - 199 - 221 + 420 - 259*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -38. Suppose -5*l = -3*t - 116 + 15, -35 = -2*l + m*t. Solve h + 5*a + 5 = l, 15 = 5*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 + -179.\nAnswer: -177.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*i = -361*i + 5. Let t(v) = -v + 1. Let m(x) = -x**3 - 6*x**2 + 9*x + 10. Let w be m(-7). Let b(z) = 2*z**3 + 4*z - 4. Determine i*b(h) + w*t(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/252*((-210)\/(-100))\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24970305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14\/11)\/(t\/t**(-26)))\/((t*t**(-13))\/t*t\/(t\/(t\/t**(-30)))) assuming t is positive.\nAnswer: t**(-509\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:55 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-20) - (-27)\/5. Let k be (11\/2 - u)*0. Which is the closest to k? (a) -2\/9 (b) 2\/3 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, n: 3, o: 9}. Give prob of sequence nofn.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l - 7. What is n(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - r = r + 8, 3*l = 4*r + 2. Let n = -25 + 28. Suppose -v + 4 = -n. Solve -v = l*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43024853.\nAnswer: 647, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 3\/7, 28\/5, -2, -3\/4.\nAnswer: -2, -3\/4, -1\/12, 3\/7, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112203143 (base 5) to base 6.\nAnswer: 124415542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10740 and 0.5.\nAnswer: -5370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/120 + 2*o**5\/15 - o**4\/12 - 7*o**3\/2 + 2*o**2 + 3060*o. Let c = 18 + -25. Is k(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*1.0095.\nAnswer: -0.030285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f + 7. Let n(t) = 5*t + 2. Let w(h) = 3*c(h) - 8*n(h). Let y(q) = -q - 3. Let d(l) = -l**2 - 8*l + 58. Let o be d(-12). Determine o*y(i) + 6*w(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511560 (base 7) in base 4?\nAnswer: 1223123031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-1 + -5))\/(4\/(-36)). Solve 0 = 3*r - q*p - 15, -r - 2*p - 7 = 3*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-24) - (6\/(-8) - (-2313)\/35980)\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 10.04. Let p = r + -0.04. Which is bigger: p or -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130322646.4 rounded to the nearest one hundred thousand?\nAnswer: 130300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*m**2 + 322*m wrt m?\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19986625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 7*p**2 - 45*p + 13. Let w be i(-11). What is the greatest common divisor of w and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -21*x**2 - 11*x + 88. Let g(r) = -r + 8. Let h(n) = 44*g(n) - 4*w(n). Let o(m) = 4*m**2 - 15*m**2 + 10*m**2. Calculate h(o(j)).\nAnswer: 84*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 92740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2595 + 2594.972972. What is w rounded to 4 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -0.3, -3\/13, -4\/3, -1\/4 in ascending order.\nAnswer: -4\/3, -0.3, -1\/4, -3\/13, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.733317444 and -4.\nAnswer: 1.733317444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2)*y)*y\/((y**(2\/5)\/y)\/y*y))**(-13) assuming y is positive.\nAnswer: y**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106651375?\nAnswer: 5, 853211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11910.08207 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j. Solve j*o = o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*t**3 - t + 192*t**2 - 114*t**2 - 78*t**2 - 5 in the form h*t**3 + q*t + x + c*t**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:31 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167372871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 72*v - 16*v - 28*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14 + -16298)*-6. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 2*c**2)*(-6 + 3 + 2) + 409659 + 5*c - 409657 - 6*c - 2106*c**2 in the form w*c + u + q*c**2 and give q.\nAnswer: -2108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + -0.41. Which is the second smallest value? (a) 5 (b) -3 (c) 4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10ec683 - -2?\nAnswer: 10ec685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = q - v, -4*v - 466 = -0*q - 3*q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102212100 (base 3) to base 11\nAnswer: -6553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Let q = 27 + -15. What is the remainder when q is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1014879.3 + -1014879.01999954. Let g = 0.28 - a. What is g rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4344*a**2 + 1 - 49074*a**2 + 6 - 7.\nAnswer: -44730*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2 - 5*f**2 + 0*f**5 - 5*f**5 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2. Suppose 5*g - 7 = -4*l, -g = 5*l - 4*g - 18. Let v(p) = l*p - 5*p + 6*p. What is c(v(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79.53050246 and 0.04147.\nAnswer: 79.57197246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 313 and -14.93.\nAnswer: -4673.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5*m**2 + 995*h**5 + h**2*m**2 - 29*h*m**2 - 10*h + 1 wrt h.\nAnswer: -60*h**2*m**2 + 59700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 12. Let j be 0 + -8 + 0\/(-1). Let f be r(j). Let d = -5 - f. Solve -d = -2*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 (base 11) in base 12?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 2*s + 0*s + s + 0*s.\nAnswer: 3*s + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2835 divide 61449294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -11 - -3 - (8 - 7 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 36. Let h = 11 - y. Suppose 0 = -x + 3, h*x = -n - 0*x + 24. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m - 4. Let t(k) = 12*k + 7. Let f(b) = -2*b**3 - 10*b**2 - 14*b - 73. Let w be f(-5). What is w*t(o) - 5*x(o)?\nAnswer: -6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.2. Let j = 31.87 - 32. Let o = 1.87 - j. Put b, 3, o in decreasing order.\nAnswer: 3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.3 (b) 11\/130 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -6. Let t = u + 2. What is the closest to 2 in 0.3, t, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137, -139, -135, -119, -85?\n\"Answer: k**3 - 3*k**2 - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}