diff --git "a/data/dm_maths/full_data_2/2306_11255.jsonl" "b/data/dm_maths/full_data_2/2306_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2306_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common factor of 1321 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 14?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73\/4 in 0.3, -1\/2, -2\/115, -0.09?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 6*t - 18. Let k be c(11). Let m = k - 34. Factor 1\/5*b + 1\/5*b**2 - 1\/5*b**m - 1\/5.\nAnswer: -(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-24)*(-10)\/25. Which is the third smallest value? (a) -1\/2 (b) -1\/11 (c) g (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -2.653\nAnswer: -1.3265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let k be l(3). Which is the closest to -1\/4? (a) k (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/2, -5\/1119, 5, 2?\nAnswer: -5\/1119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1 + 1012.353?\nAnswer: 1027.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*v)*(-v**2 + 0*v**2 + 3*v**2) + 2*v - v**3 - 2*v - 24*v**3 - v**3 - 20*v**3 + 7*v**3 - 3*v**3 - v**3.\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758073633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -389. Let i = -377.9999558 + g. What is i rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1611 and 66816.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 604054115 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5918750 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**6\/6 + 5843*u**4\/4 - 2057*u**3\/3 + 6735. Find the third derivative of c(z) wrt z.\nAnswer: -60*z**2 + 35058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*i + i + 2, 0 = -5*j - 2*i - 1. Solve 0 = q + 3 - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 28 + 14)*(0*m**3 + m**3 - 3*m**3).\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 18. Suppose -4*c + q = 3*s, 2*s = c + 3*c. Solve 2*w - 15*w - w + 10*w**s + 4 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8184\/124*2\/24.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71122, 142431, 213926, 285607, 357474?\nAnswer: 429527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 1, m: 1, d: 1, i: 1}. Give prob of sequence muu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(-1\/29))*v)\/(v\/(v\/(v\/v**(2\/5)))))\/(v\/v**3)**(-35\/2) assuming v is positive.\nAnswer: v**(-4877\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 493 (c) -29 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*w - z, -4*w = 12*z - 4*z - 60 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186122*v**2*x**2 - 76*v**2*x + 13*x**2 - 968887*x wrt v.\nAnswer: 372244*v*x**2 - 152*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8047535 micrograms?\nAnswer: 0.0000000000008047535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 - -274. Let z be (6\/n)\/((-12)\/30). Is z less than or equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1.08\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (5 + -5)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 - 2*n - 3. What is the units digit of o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1072 or 1073?\nAnswer: 1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -18\/5. What is the smallest value in l, -3\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 4. Suppose -f*l + l + 75 = 0. Let m be (0 + 6)\/(1\/5). What is the greatest common divisor of l and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7755*w**4 - 10118?\nAnswer: -31020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 33*p**2 + 67*p - 56. What is the least common multiple of f(31) and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 75\/(-10))*(-20)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84)\/56 + 21\/18. Which is the third biggest value? (a) 0.077 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8*k = 609. Let l = k + 89. Calculate the lowest common multiple of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h + 3*h - h + 10*h + 0*h + (0 - 2 + 0)*(-h + 3*h + 0*h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -10*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and (106\/13 - -2) + (-146)\/949?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:36 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2308 (base 12) to base 7.\nAnswer: -14234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36929 - 36925. What is the fifth biggest value in 89, -2\/11, 1, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f + 279. Let s be v(30). Let d(l) = 3*l - 4. Let t be d(8). What is the third derivative of 39*x + 7*x**2 - t*x**6 - s*x wrt x?\nAnswer: -2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8322 and 26412774.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 132. Let u be 14\/d - 26456\/(-34). Round u to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**7\/2520 + f**6\/720 + f**5\/24 - 55*f**4\/12 - 159*f**2. Let d(m) be the second derivative of i(m). What is d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3732, -7459, -11182, -14901, -18616, -22327?\n\"Answer: 2*k**2 - 3733*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 63 = 2*f, 39 = -3*o - 5*f + 261. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a23409 (base 13) to base 12\nAnswer: -2a6b2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from {b: 5, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 3*y + 3. Let u(x) = x**2 - 5*x - 3. Let l be u(5). Let b be v(l). What is the second smallest value in -3, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 11*u + 12. Let k be d(12). Solve i + 5*a - 29 = k, -2*i = -4*a + 4 + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/90*1\/2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 23*a = -52 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 33. Suppose o*l - 6*l = 306. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6*q)*(-3 + 0 + 4)*(-4 + 10 - 1).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + (-2 + 2 - -5) + (90 + -94 - 8).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25169925 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/12*854\/22204?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**3 - 11*d + 0 + 0*d**2 - 3\/50*d**5 + 1\/30*d**4 - 1\/105*d**7 + 1\/25*d**6. Factor c(k).\nAnswer: -2*k**2*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 15. Let i(k) = 2*k**2 - k + 31. Let d(c) = -3*i(c) + 7*q(c). What is the units digit of d(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 + 17*p. Let o(x) = -2*x**2 + 6*x. Let c(w) = -6*n(w) + 17*o(w). Let k(q) be the first derivative of 2*q**3\/3 + 17. Determine k(c(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (3 + sqrt(51)\/sqrt(3)) - sqrt(17))**2 - (-2 + sqrt(272)).\nAnswer: 2*sqrt(17) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.96101 + -0.981. Let u = n - -0.02. Round u to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(27))\/(sqrt(14)\/(sqrt(7)*-1)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7005311 divided by 28\nAnswer: -7005311\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3046 - 0.4.\nAnswer: -3046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -78) + -6 + (3 - (3 + 43))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -103. Suppose 142 = 2*y + 3*y + v, 4*v = -c*y + 148. Solve -a - 2*l - 6 = -l, y = -5*a - 3*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 2388 = -279*j + 12024. Calculate the smallest common multiple of 1782 and j.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b**3 - 9*b**2. Let m(y) = 6*y**3 + 2*y**2. Calculate -4*j(q) - 18*m(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = 3*i, 9*i - 8*i + 5*p - 27 = 0. Factor -5*a**3 + 551*a**2 - 571*a**i - 10 - 9*a - 16*a.\nAnswer: -5*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zyzyzzfzyyzfy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 3*q - 1. Let r be l(4). Solve -4 = -x - y, -4*y + 16 = -r*x - 0*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2900)\/(-464))\/(105\/48). Put 2, -3, l, 4, 11 in decreasing order.\nAnswer: 11, 4, l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v. Let y(s) be the first derivative of 13*s**2 - 78. Calculate q(y(a)).\nAnswer: 364*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 4, -4, -5, 2 in increasing order.\nAnswer: -5, -4, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32*(-16)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5066 and 5474.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442 (base 10) in base 6?\nAnswer: 32322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1165, -4680, -10561, -18826, -29493?\nAnswer: -42580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11468 + -9807. What is the remainder when a is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12114402303 + -3?\nAnswer: 12114402300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {a: 1, k: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:32 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -29 - 6*i**2 + 14 + 15. Let t(l) = -31*l + 24. Let u(j) = 21*j - 15. Let c(m) = -5*t(m) - 8*u(m). Calculate f(c(w)).\nAnswer: -1014*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + i = -6*o + 9, 5*o - 448 + 455 = 3*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 526.83*-40\nAnswer: -21073.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-114)\/285)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -355b8 (base 14) in base 5?\nAnswer: -13130420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033906?\nAnswer: 2, 17, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -17.8 (c) 5 (d) -312 (e) -0.1 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/177308 and 77\/8?\nAnswer: 354616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(187) + sqrt(187) + -5*(sqrt(187) + sqrt(187) + 1*sqrt(187) + sqrt(187) - sqrt(187))))\/(6*(sqrt(11) + sqrt(55)\/sqrt(45))))**2.\nAnswer: -325*sqrt(17)\/4 + 73425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)**(-7\/2)\/(h**(6\/5)\/h**7))\/((h\/h**(-8))\/(h*h*h**(-2\/9))*h**1\/(h\/h**(-8))) assuming h is positive.\nAnswer: h**(-353\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/466 and 5\/16?\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09458711 and 1?\nAnswer: 0.09458711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 10) to base 3.\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l + 2. Let i(a) = a + 4. Let n be i(-6). Let g be y(n). Which is greater: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 16*c**2 + 11. Let n(y) = -3*y**2 - 2. Calculate 2*g(o) + 11*n(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53326161?\nAnswer: 3, 7, 17, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 + 64*r**2 + 983*r + 920 = 0?\nAnswer: -40, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 39 - 64 + 48. Let y be a(-7). Which is smaller: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - 123) + -52 - -59.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j + 5. Let f(t) be the second derivative of t**3 + 3*t**2\/2 + 2*t. Let a(p) = 5*f(p) - 3*y(p). Let l(c) = c. Determine a(l(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 10 + 11 + 49 + -8\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/40*485876\/(-14). Let n = 8701\/5 - g. Let q = -3962\/11 + 69875\/198. Find the common denominator of q and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 500. Let k(u) = 3*u - 250. What is 11*k(b) + 5*z(b)?\nAnswer: -7*b - 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42.34 times 15747\nAnswer: 666727.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 36. Suppose 3*g - 42 = -3*y, 0*y - 5*y = g - d. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20091437100 rounded to the nearest one million?\nAnswer: -20091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v**6\/15 + v**5 + 2*v**4\/3 - 40*v**3\/3 - 48*v**2 + 2976*v. Factor d(k).\nAnswer: 4*(k - 2)*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**2 - 106*d**2 + 4*d**4 + 19*d**2 + 37*d**2 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-5)\/(10\/(-6)). Let w = 7 + h. Which is greater: w or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29754*j**3 - 3 + 178*j**4 - 2*j**2 - 161*j**4 + j + 29753*j**3 in the form h + d*j**3 + o*j**2 + v*j**4 + x*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/75 and -79\/366525.\nAnswer: 366525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 15*k - 7. Suppose b + 21 = 2*w - 0*w, b + 5 = 0. What is the remainder when x(-12) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 50, 121, 230, 383, 586?\n\"Answer: p**3 + 10*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74099293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05663 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -4*a**3\/21 + 208*a**2\/7 + 60*a - 454. Determine c so that f(c) = 0.\nAnswer: -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*z + 1800*z = 903*z - 70 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 317 - 33440?\nAnswer: -33121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 38*g + 19 - 40)*(-3*g**4 - g**4 + g**4).\nAnswer: 114*g**5 - 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 2. Let w(m) = 9*m + 1. Determine -2*i(v) + 3*w(v).\nAnswer: 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.33 - -166.67. Let o = 163 - d. What is the second biggest value in o, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4183898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times -4434\nAnswer: -14632.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*70\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 11:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/679, 2\/7, -1\/3, -2\/19, -2\/15, 120?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*i**2*n**2*u + 6*i**2*n*u + 3*i*u - 2*n**2*u - 66*u wrt i?\nAnswer: -96*n**2*u + 12*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v + 88*v - 405*v**3 - 42*v - 1958*v**3.\nAnswer: -2363*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 0 - ((-3 - -1) + 1*-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 20 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/(-360) + 22238\/40 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n + n - 2*n**2)*(0 + 1 + 0)*(-3*n + 3*n - 3*n**2).\nAnswer: 6*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-10)\/5 - 91. Let g = t - -218. Suppose 3*f - g - 14 = 0. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19205621 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (0 - 3) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 - 23 = 0, 3*v - 45 = -11*n - v. Factor 0 - 14\/5*i**2 + 2\/5*i**n + 24\/5*i.\nAnswer: 2*i*(i - 4)*(i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 783560838 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -68*r - 3151. What is the thousands digit of x(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 + k - 10. Let v be 4\/(5*1\/10). Let s be j(v). What is the remainder when 105 is divided by (162\/12)\/(s\/(-4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 145, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -2\/11 (c) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -4, 196852?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/20 - (-228)\/5. Suppose -l + 6*l - m = 0. What is the third derivative of -11*z**5 - l*z**2 + 8*z**2 + 20*z**2 + 2*z**5 wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10725 divided by -3575\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084248 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - ((-61760)\/650 + 13).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321.001648 - 321. Round h to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 22*t**3 - 17*t**2 + 220*t - 137. What is the units digit of c(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 + 1224 + 482 = -202*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 47, 65, 85, 107?\n\"Answer: j**2 + 13*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12 and -107\/3364116.\nAnswer: 3364116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:38 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*m + 10, 14 = 2*m - 3*j + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 4042*p - 360 = 4047*p, 28*k = 31*k + p - 113 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-7)*a*a**(-1)*a assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*-2*52\/195?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 25*o + 29. Let v be f(26). Suppose 5*b - v*g = 89, 0 = -2*g - 6. Calculate the remainder when 31 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(175)*4 - sqrt(175)))**2 + -3 + -1*(-1*sqrt(700))**2.\nAnswer: -450*sqrt(7) + 13497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 16, 15, 8, -5, -24?\n\"Answer: -3*k**2 + 14*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83114 (base 10) to base 2.\nAnswer: 10100010010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2 (b) 0.5 (c) 52\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - -726. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110*2 + 6 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83577 and 5733.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - (3 + 0). Which is bigger: 1\/14 or c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1330213?\nAnswer: 1330222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 12*a**2 + 18*a - 67. Calculate the remainder when 298 is divided by s(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -57. Suppose -64 = -q*v - 5*o + o, -128 = -4*v + 5*o. Let z = v - 27. What is the highest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 15 - (4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7025 - 4*p - 7034 + 3*p.\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0949? (a) 0.3 (b) 2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + 5*p + 4. Let j(a) = -9*a**2 + 9*a + 7. Determine -5*f(c) + 3*j(c).\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 302\/58877 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1089 + 2049. 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: Calculate the least common multiple of 32184 and 864.\nAnswer: 128736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 76?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in hours?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29178 = 11*i - 29277. Solve -29 = 5*p - 4, -4*n + p = -i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8530*f + 50945. Determine v(6).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 2. Let x(f) = 2*f**3 + 27*f**2 - 16*f - 30. Let c be x(-14). Calculate b(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o + 2. Solve o = -3*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -48*z - 14. Give t(-3).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 50*i - 149 - 389 + 1000 - i.\nAnswer: 3*i**2 - 51*i + 462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4)*(-2)\/7. Which is the nearest to -0.1? (a) 0.3 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*j - 1 = -0, 0 = -m - j + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 6. Let s(y) = y**2 - 8*y + 8. Let p be (-56)\/(-9) - (-6)\/(-27). Let n be s(p). Sort a, n, -3 in descending order.\nAnswer: a, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2038, -4066, -6090, -8110?\n\"Answer: 2*s**2 - 2034*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 11. Let n(t) be the second derivative of 2*t**4\/3 - t**3\/6 - 11*t**2 + 11*t + 9. Let y(g) = 5*a(g) + 2*n(g). What is y(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + 4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3689 - 445*c**4 + 827 - 1234 - 633 + 3848 wrt c?\nAnswer: -1780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 24.5. Put r, -4, -2\/5 in increasing order.\nAnswer: -4, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23959, -47961, -71967, -95977, -119991, -144009?\n\"Answer: -2*c**2 - 23996*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4271*r - 1571764. Determine c(-368).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from uvvoouvuuuuououvouu?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-1 - 1 - 0). Let g be 2\/10 + 14\/f. Suppose g*j = -2*j + 90. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1869 and 41563?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -966474.4325.\nAnswer: -966474.2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 1 + 1)*(3 + 2*n**2 - 3) - 534*n**3 - 228*n**3 + 23*n**3 in the form d + x*n + g*n**2 + u*n**3 and give u.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7712 + -7711.8. Put u, -12, -78 in ascending order.\nAnswer: -78, -12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/1575 + (-2)\/(-7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/539 in -115\/7, 0.3, 0, 2, -19, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 6:14 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -672 + 675. Let h = 61298238 - 61298235.00000052. Let l = t - h. Round l to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 320597273*t - 471489822.\nAnswer: 320597273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2430883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let o(d) be the second derivative of -d**4\/12 - d**3 - 36*d. Let q(c) = -o(c) + 6*t(c). Let p(v) = 4*v. Give q(p(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*s**3 - 55*s**3 - 2*s**2 - 56*s**3.\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 68, 131, 220, 341?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61173 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - x = -37, 5*k - 5*x = -40 - 25. Is ((-1)\/3 - -1)*6 - k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99636 and 912?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-16 + 13) - -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 0, 6, -554, 5 in decreasing order.\nAnswer: 6, 5, 3, 0, -4, -8, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 23, 27, 29, 29, 27, 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002122082 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (5 + sqrt(1573) + -1)**2 - (sqrt(1573) + ((sqrt(1573) + 0 - sqrt(1573)) + sqrt(1573))**2 + -5 + sqrt(1573)).\nAnswer: -3157 - 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 5)*(w**2 + 4*w - 4*w)*(8*w**2 - 2*w**2 - 7*w**2).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067370 rounded to the nearest ten thousand?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63154.6mg to grams.\nAnswer: 63.1546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqqqqe. Give prob of picking 2 q.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1036, -910, -794, -694, -616, -566, -550, -574?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4)\/c)\/(c\/c**(3\/5)*c))\/(c\/c**(-4\/3)*c**(-2\/11)))\/((c*c**(-2\/7))**(-2\/45)*(c\/c**(-2\/3))**(-7)) assuming c is positive.\nAnswer: c**(10904\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150*f - 2149*f + 5*c = 12, 2*c + 26 = 4*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (231\/(-1045))\/(3\/135) - -10\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72863 is divided by 3156?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 4. What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 7. Let w be y(5). Let x = 25 - w. Solve 0 = 2*g - 2*z + 8, 3*z = -g + 7*z - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21089594*n**3 + 6076421?\nAnswer: 63268782*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19540\/6839*(-14)\/(-6).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646608251 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -20. Suppose n*y = 33896 - 4496. Round y to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - 2*i**2)*(589 - 217 + 44 + 90).\nAnswer: 1012*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Let g = -557 + 566. Which is the third smallest value? (a) r (b) 2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 23*d**2 - 15*d + 474. Determine n(23).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h - 61. Let y be c(11). Find the second derivative of -59*b**2 - 46*b**2 + 17*b**2 - y*b wrt b.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*f - 262583, 352*f - 525206 = -4*i + 354*f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 55. Let m(p) = -2*p - 4. Let r be m(-3). Suppose -q = -3*n + 96, q = -r*n - 2*q + 64. Calculate the remainder when n is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582183019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 5, t: 3, s: 4, w: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1706158 divided by 43\nAnswer: 1706158\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5668*b + 0 - 1 - 2959*b + 1 to s + f*b and give f.\nAnswer: 2709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 37 + 129 = -4*j, 5*s + 3*j - 123 = 0. Suppose 0 = 5*i + 2*p - 264 - 66, -10 = 2*p. Calculate the smallest common multiple of s and i.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*m = 32, 2*r + 491 = -4*m + 485 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**2 - 15\/2*i - 1\/2*i**3 + 17 = 0. What is i?\nAnswer: -17, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3 - 1652\/177?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314 by 2423.\nAnswer: 314\/2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2. Let o(p) = 5*p**2 - 11. Determine o(u(h)).\nAnswer: 20*h**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216822 or 1?\nAnswer: -216822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*l - 24, -5*r - 41*l + 16 = -44*l. Solve -r*o - 41 = -81 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b - 3. Let w(y) = -2*y - 11. Calculate a(w(l)).\nAnswer: -20*l - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 804672 and 1605153.\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11158219 and 233228?\nAnswer: 11391447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9034 + 9033.7. Let p be (-28)\/(-36) + 3 + 4\/18. What is the smallest value in a, p, 63, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 39617*l - 79240*l + 39575*l. Let t(p) = -2*p**2 - 2*p. Give v(t(w)).\nAnswer: 96*w**2 + 96*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2622137.2 and -5.\nAnswer: -13110686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69259*t**2 - 69259*t**2 - 6525*t**3 - 11489*t wrt t.\nAnswer: -39150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1278631\/90 - 14207. Let t(r) be the second derivative of 4\/45*r**3 + 0 - 30*r - 1\/3*r**2 + j*r**4. Factor t(h).\nAnswer: 2*(h - 1)*(h + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (-2*(4 + sqrt(605) + 3 - sqrt(605))**2 - -5*(sqrt(605) + 2)*-4)).\nAnswer: -1100*sqrt(5) - 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x - x + 4*x. Let n(l) = 24*l + 21. Suppose -5*q + k = -3*k - 206, 3*k = 3*q - 123. Let a(m) = m + 1. Let r(h) = q*a(h) - 2*n(h). Give r(s(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k + 5. Let r be z(0). Suppose -2*g + 6 = r*w, 5*w = -0*w + g + 12. Factor -21*l**2 + 10*l**2 + 2 - w*l - 13*l**2.\nAnswer: -2*(3*l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41185, -41168, -41145, -41116?\n\"Answer: 3*k**2 + 8*k - 41196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:24 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110\/4*(-69)\/(-3036)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 19, -2\/15, -24, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43154277 * -0.4.\nAnswer: 17261710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 s when four letters picked without replacement from {z: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.76 - -1. Let i = n + 6.86. Let j = i - 7.100123. Round j to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -182. Suppose p*s - 180 = 111*s. Calculate the remainder when s is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -48275036.\nAnswer: -48275036.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -331.2 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -137*c**2 + 57*c - 64. Let z(x) = 45*x**2 - 18*x + 19. Determine -3*o(f) - 10*z(f).\nAnswer: -39*f**2 + 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 39*d - 28*d + 3 as q*d + i and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*o = -4, -4*t = o + o - 2. Let s(q) = -q**3 - 1 + 6*q + 4 + t*q**3 + 5*q**2. Suppose 9 - 1 = -2*u. What is s(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.01. Suppose 3*u + 16 = 5*g, 0*g = -g + 3*u - 4. Let i = 890 + -890. What is the nearest to i in g, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.67 + 13. Let x = l + 0.66968. What is x rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*p + 2*p + 29 + 21, 3*a - 24 = 31 + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from uyub?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 3, b: 7, w: 2, l: 1, f: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20344240 (base 5) in base 2?\nAnswer: 101001001011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2 - 8*g + 7. Calculate u(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 5. Let k(z) = -3*z - 1. Let q be k(2). What is the remainder when 34 is divided by o(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2784.164883 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9, k - 5*f = 30 + 13. Let r = 2082 - k. Suppose r = 15*g - 4*g. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245919.\nAnswer: 3, 81973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 48*m + 23*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q**2 + 2*q**2. Let w(t) be the third derivative of -1\/60*t**5 + 10*t**2 + 0 + 0*t**3 + 0*t**4 + 0*t. Give w(s(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5276 + -14?\nAnswer: 5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -15*t**3 - 79*t**2 - 79*t + 1. Let y be u(-1). Solve 7 = -y*c - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3139 by -28.\nAnswer: -3139\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -5 (c) -0.4 (d) -2.6 (e) -0.052 (f) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a. Let p(f) be the second derivative of -2*f**4 + f**2\/2 - 32*f + 3. Calculate t(p(h)).\nAnswer: -288*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z. Let d(t) = 345*t - 390. Let y(u) = 25*u - 28. Let w(s) = 4*d(s) - 55*y(s). Give r(w(m)).\nAnswer: 35*m - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2520, -2495, -2484, -2493, -2528, -2595, -2700, -2849?\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 5, -0.26, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217843 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -16*m + 1. Suppose -5*g = -2*p + 7*p, 0 = -4*g + 4. List the prime factors of c(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/1 + 1 + 0. Let v = b + 7. Let o be (2\/(-3))\/(6\/(-27)). Solve v*g - o - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*a = 7 - 8, 2*s + 4*a + 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/(-196))\/((-150)\/(-21)))\/((-10)\/(-475))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*d + 18 + 79*d - 41*d as l*d + f and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*s**3 - 23*s + 3*s**2 + 39*s + 24 - 23*s - 24 in the form h*s**3 + c*s + j + w*s**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321226 by 5266.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 88?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 23*z**2 - 2*z + 3. Let w(t) = 208*t**2 - 20*t + 28. Give 28*k(q) - 3*w(q).\nAnswer: 20*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1144\/5 - -228. Let h be 7\/315 + (-2)\/(-10). Which is the second smallest value? (a) h (b) l (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398\/1079 - -9\/166. Find the common denominator of 3\/(-4) - 374\/(-56) and a.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 47. Let a(m) = -m - 46. Let t(w) = -5*a(w) + 4*d(w). Suppose 2*y - 8 = -4*l, 2*l + 2*l = 4*y + 8. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 57363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, s: 1, w: 5, x: 1, n: 6}. Give prob of picking 4 w.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -65. Is 11 a factor of (-4257)\/36*a\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/27, 123, -1\/63, 4 in descending order.\nAnswer: 123, 4, -1\/63, -4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/7 in 1, 0.1, -0.4, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 7. Let c be w(3). Let m be (-4)\/c*2*-5. Put 1, 2, m in decreasing order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/2 + n**2 - n. Let f(a) = 3*a - 4. Let v be f(4). Suppose v*o = -4*o + 24. What is g(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 16*g + 14. Let l be q(-14). Let x be (-19)\/(-7) - 4\/l. Suppose 6*u - 47 = x*u + 2*i, 4 = -4*i. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000039995 to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = 5*w, n + 3*n - 3*w + 27 = 0. Let m be (-2)\/3 + 87*(-1)\/n. Which is smaller: 41\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * 14.\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c + 3. Let b be i(-3). Let g(r) = 3*r + 4. Let f(m) = -3*m - 4. Let w(v) = b*g(v) + 5*f(v). Let z be 4*(1 - (-6)\/(-3)). Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u - 18 = -102*u - 4*w, -u = 5*w - 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*d - 2, 23 = -4*s + 4*d + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/12 + 5*p**3\/6 + 4*p**2 - 3*p. Let f be y(6). What is the units digit of 1 - (7\/(-1) + f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 4 = r + 6*n, 2*n - 12 = -3*r. Suppose -r*s = 3*s - 385. Let o be 2 + ((-8)\/18)\/(10\/s). What is the third biggest value in -2\/5, o, -1\/10, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -21. Let i = z + -64.99876. What is i rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1396*k + 1396*k + 12 - 20 - 12*k**3 - 55*k**2 + 47*k**2. Let o(v) = -v**3 + v**2 + 1. Give 8*o(l) + p(l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-55) + (-59318)\/(-88). Let b = j + -696. What is the common denominator of b and 131\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2788 + 2*f + 46*f**2 - 167*f**2 + 59*f**2 + 64*f**2 - f in the form n + q*f + l*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 82 = -5*v, -5*o + 59 - 117 = -3*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1805*q**3 + 1615*q**2 - 185*q + 5 = 0. Calculate q.\nAnswer: -1, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-2 + 252\/7.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16295139 - -3?\nAnswer: -16295136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 125184 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c**4 - 4*c**4 + 3*c**4)*(-5 - 13 + 14)*((4 - 6 + 1)*(-4 + 2 + 0) - 1 + 2 - 4)*(5 + 1 - 4).\nAnswer: 8*c**4 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 + 8*k**2 + 4*k - 374. Let g(m) = m**3 + 2*m**2 + m - 1. What is -4*g(f) + j(f)?\nAnswer: f**3 - 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, s: 1, a: 7, c: 3}. Give prob of sequence aa.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, -59\/2, -0.49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 2*n = -12*b - 15, 4*n - 4 = 0. Is -5\/6 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4162 or -898?\nAnswer: -898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/98202 and 35\/4484558.\nAnswer: 13453674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895602597 minus 1506?\nAnswer: -1895604103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 18*b - 117. List the prime factors of o(8).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let h = 4 - d. Suppose 5*t + h*x = -3, -5*t - 13 = -2*t + 4*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 4*z + 4*z - 13*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-4)\/(-100))\/(10\/50).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - h = -0*a + 21, -5*a + 5*h + 30 = 0. Let l = 12 - 2. Solve -a*m + 30 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + 10?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(567) + 5 + 5 + -5)**2.\nAnswer: 90*sqrt(7) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -62, 0, -1 in increasing order.\nAnswer: -62, -24, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 327\/6 + (-11)\/(-22). Let x = q - 53. Let p(v) = -2*v + 30*v**2 - 2 - 18*v**2 - 15*v**x. Give p(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from scscsssssssscsscsss.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3382, 3378, 3374, 3370?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + w - 3*w + 2 - w + w**3 - 4*w**2. Suppose 4*z = -5*o + z - 9, 14 = -2*o + 4*z. Calculate u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -175. Let t(r) = -r + 26*r - r**2 - 3 - 3. Is t(n) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0467239 millennia?\nAnswer: 4.67239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84917851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -67244 (base 8) to base 3\nAnswer: -1102212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -15 (b) 2 (c) -0.68 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/5 + 2314*p**2\/25 + 130278*p\/25 - 79002\/25 = 0.\nAnswer: -133, -99, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 - 9*s + 21. Let a be d(8). Solve -3 = -2*z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p + 226. Give c(-30).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104\/5 + 21. Let q = 1.2241 - 10.2241. What is the nearest to q in -0.2, n, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by -18460.\nAnswer: -19\/3692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 3, p: 1, s: 3, a: 1, e: 1}. Give prob of sequence ss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 - 537 = 8*u. Suppose -12*w + 25 = -u. Solve 7*c - 5*c - w = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1522, -1520, -1518, -1516, -1514?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -977064?\nAnswer: -977061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 + 270*b + 1400 = 0.\nAnswer: -5, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 141915 (base 12) to base 6\nAnswer: 11102025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -2\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55726 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.874 - -0.92877. Let s = 24.76477 - m. Let d = -25 + s. Round d to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 4:59 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18521 - 13081. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 7*y - 1. Let u be q(-6). Let b = 0 + u. Solve g - 13 = 2*g + 4*n, -b*g - 20 = 5*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 4*d + 5. Let t be j(6). Let v = t + 58. Calculate the remainder when 27 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3748\/30 - (-31)\/465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 2. Let p(i) = -14*i + 2. Let s(x) = 9*x. Let y(o) = p(o) + 2*s(o). What is -3*a(k) + 2*y(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 48 = -0*q. Let r(n) = -n**2 + 9*n + 13. Calculate the remainder when r(6) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 6*i**2 - 11*i. Let q(r) = r**3 + 2*r**2 - 4*r. What is 4*f(d) - 11*q(d)?\nAnswer: d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.7415?\nAnswer: -4.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = t, 4*t - 2 - 20 = -3*d. Let a be (d - 7)\/((-20)\/8). Suppose -2*h + 1 + 5 = 0. Solve 0 = -0*p - h*p - 5*q - 9, a*q = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*x - 1395 = -0*x, 4*r - 1858 = 3*x. Let f be (r\/(-2) - 2)*(3 + -1). Let d = 658 + f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let p = 524.2 - 524.6. Let y = 71\/322 + 3\/46. What is the fourth smallest value in y, m, -0.03, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5073588ml to litres.\nAnswer: 0.0005073588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + m**2 + m - 4. Let u(h) = -2*h**3 + 1 - h**3 + 2*h**3 + 0. Let o be (7\/2)\/((-2)\/(-52)). Let w = 92 - o. Give w*c(r) + 4*u(r).\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 - 8*m**2 + 10*m + 1977. Let y(p) = 2*p**3 + 3*p**2 - 4*p - 988. What is -2*w(d) - 5*y(d)?\nAnswer: -2*d**3 + d**2 + 986","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Let q be 81\/(-108)*(-8)\/6. Let c be ((-9)\/h - -2) + q. Round c to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (70\/12 + 12\/18)*124 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69\/5 - 2483\/180. Let r(f) be the third derivative of -1\/18*f**3 + 0*f - 2*f**2 - 1\/36*f**4 - q*f**5 + 0. Factor r(u).\nAnswer: -(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586272 times 5?\nAnswer: -7931360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 m when three letters picked without replacement from trcucrtrrrrrmr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000657 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -74. Suppose 7*o + o - 56 = i. Is o at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -21. Let c = -34 - -35. Let j = p - c. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 - 3. Let w be r(-6). Let b(g) be the first derivative of -g**4\/4 - 2*g**3\/3 + g**2\/2 - 1. Is 2 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 31204 = 6329. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (2\/(-2))\/(10\/(-30)). Let n(z) be the first derivative of 7\/2*z**2 - j*z + 3 - 1\/3*z**3. Determine n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590730477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*p = p + 372, -2*h + 4*p = -166. Solve 35*q + h = 46*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 112956*p + 225900.\nAnswer: 3*(p + 2)*(p + 37650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35312840 by 5.\nAnswer: -7062568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 6*q**2 - 28 + 30 in the form i*q**2 + a*q + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-239*k + 89*k**2 + 239*k)*(0*k**2 - k**2 + 2*k**2) to the form r*k**2 + p + d*k**4 + a*k**3 + y*k and give d.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -12. What is the remainder when 2 + (-2 - (0 - 23)) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65683, 260574, 585393, 1040140, 1624815, 2339418?\n\"Answer: 64964*j**2 - j + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 2, j: 4}. What is prob of picking 1 j and 1 b?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-153)\/54 + -2. Let j = 0.3 + 0. Let n = j - -4.7. Which is the closest to 1? (a) m (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 2*i + 3. Let b be z(1). Let c(v) = 1. Let l(k) = k**2 + 2. What is b*l(s) + 4*c(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*y = 0, -8 = -4*y - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-306)\/(-42) + 4\/(-14). Let k(c) = 4*c + 19 - u - 10. Determine k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115639383 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321495\/31 + -9796387\/558. Let u = b + 27919. Calculate the common denominator of 2\/7 - (-555)\/(-56) and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.8 - 90?\nAnswer: -163.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -15494620.\nAnswer: 3\/15494620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 113 = 2*a - 5*w, -w = 4*a - 93. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155340.64 rounded to the nearest ten?\nAnswer: 155340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33372 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*j + 18. Factor -d**j + 26*d**2 - 20*d**2 - 2*d - d - 2*d**3.\nAnswer: -3*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 1. Let l(t) = -2*t**2 + 3. Suppose -4*h = -2 - 2. Suppose 11*i - 3*i - 48 = 0. Let g(z) = h*l(z) + i*r(z). Differentiate g(m) wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(5280\/8)*(-69)\/(-23)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 85937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -61 + (0 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 916. Let u = -161 + w. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 1.5 (c) -1\/7 (d) -1\/200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22.000000111. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452203161*r + 4*r**3 + 452203161*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:36 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -247, 152, 4, 5 in ascending order.\nAnswer: -247, -3, 4, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4 and 12\/22007.\nAnswer: 88028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*k - 574 = 0, 0 = 5*a + 4*k - 251 + 1692. Let x = a + 408. Let g be 1\/(7\/(-11)) - 51\/x. Put -5, 2, 4, g in descending order.\nAnswer: 4, 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d + d - 6*d + 1 + d**2. What is the tens digit of k(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 + 13*r**2 + 14*r - 60. Let n(m) = 3*m**3 - 9*m**2 - 9*m + 40. Let j(t) = 5*k(t) + 8*n(t). Let z be 1 - (-12 - 19\/(-1)). Determine j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31053807 is divided by 410?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 6120*g**2 - 67684*g + 184920.\nAnswer: 4*(g - 6)*(g - 5)*(g + 1541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Suppose 4 + u = z. Solve 4*f = -5*r - 29, -f - z*r = -5*r - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 9342?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by -34.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 191, 300, 601, 1190, 2163, 3616?\n\"Answer: 16*d**3 - 3*d + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72268 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*x - 24*x**2 - 23*x**3 + 4*x + 5*x wrt x.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/20, 5\/7.\nAnswer: -1, 3\/20, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + z - 72 = -48, 2*g = -9*z - 50 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - (-6 + 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1654, -1656, -1616, -1528, -1386, -1184, -916, -576?\n\"Answer: k**3 + 15*k**2 - 54*k - 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w - 6. Let j(o) = -5. Let t(m) = -2. Let g(p) = -3*j(p) + 7*t(p). Let h(c) = 17*c + 11. Let y(s) = 2*g(s) + h(s). Calculate 13*q(x) + 6*y(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33212 (base 10) in base 2?\nAnswer: 1000000110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -26. Suppose 2*g - 2*n - 13 = y, 3 = -n. Calculate the remainder when 20 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -48, -61, -74, -87, -100?\n\"Answer: -13*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 724 (b) -1\/2 (c) -1.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/752376 and 11\/163560?\nAnswer: 3761880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60455935\/5528416 + -1\/178336. Let r = 11131\/930 - t. Let j = -17\/6 + r. Are -3 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75032, 150827, 226622, 302417, 378212?\nAnswer: 454007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-7) - (-6 - 5591187\/147)?\nAnswer: 109, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b - 7. Let g be y(0). Let w be 504\/49 + 2\/g. Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2305*c + 48 = 2298*c, 0 = 2*l + 3*c + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 459*t**2 - 261*t + 252. Determine m(1).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*98\/(-672)*36.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92313, 92314, 92315, 92316, 92317?\nAnswer: 92318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 778010 and 778010 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 + -507. Put -1, n, -4 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221720089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10 - -1)*(-5)\/(-6) and (-191)\/(-24) - (-8 + (-8 - -23) + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f. Suppose -2*y + f = -8. What is the derivative of -j**3 + y - 2*j**3 + 1 - 3 wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**3 - 3*n**2 - 3*n - 3. Let o = 9467 - 9471. Let x(i) = 9*i**3 - 4*i**2 - 4*i - 4. Calculate o*u(b) + 3*x(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1394 + -1. Let b = i - 1387. Suppose -3*w - 6 = 5*j, w - 3*j + 3 - 1 = 0. Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -258*s**3 + 283 wrt s?\nAnswer: -774*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 (base 4) in base 8?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*z - 4*r - 237, -2*z + 275 = -r. Calculate the remainder when z is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 32*z - 29*z - 3*z**2 - 3*z + 80 to c*z + g + q*z**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 7, d: 2, g: 4, z: 3}. What is prob of sequence gsz?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 63 + 55 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115977 is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Calculate the common denominator of 29\/5 and 98\/(-10) - m\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwan when four letters picked without replacement from nvpaawnpnpnawnwnvpaw.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.24 times 82?\nAnswer: -593.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 266*b - 2377. What is p(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1730.294909 + 331.818981. Let c = h - 2061.9. Let p = c + -0.215. What is p rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose -5*g = 6*v - 4*v - 13, -11 = -5*g - o*v. Let s be (-1 - -12) + (g - 5). Solve -2 = l + 2*i + 1, 0 = 2*l + i + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = 10. Solve a = t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 + 2. Let g be u(-3). Suppose g*r + 1179 = r - f, 0 = 2*r + 4*f + 2358. Calculate the common denominator of (-4)\/22 + r\/110 and -39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6228*k + 39294 = -440262 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15721906 to the nearest integer?\nAnswer: 3965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -90 - (-16 - -8) - -41?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {j: 2, c: 1, d: 2, u: 2, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 2 + 2)*(-4354 + 4354 + 2492*w) as v*w**2 + j*w + b and give v.\nAnswer: -2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2677311 + -13?\nAnswer: 26772a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 0, 0*y = 2*b - 4*y - 12. Let d(m) be the third derivative of 12*m**2 - b*m**2 + m**4 + 16*m**2. Let h(t) = -t**2. Calculate d(h(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.379566 to 2 decimal places.\nAnswer: 222.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o**3 - 48*o**3 + 97*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w + 8. Let u be b(5). Suppose -5*h + 3 = -2*v - 2*h, 4*v + u = 5*h. Let p = 31 - v. Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - f + 1551 = 0, 2343 = 3*k - 0*f - 4*f. Suppose 3*m - 312 = -2*y + m, 5*y - k = -2*m. List the prime factors of y.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 2 + 15 - 5 - 33*i with respect to i.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/63*28\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*c = -10 - 1, -5*s = -c + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279.7298 + -227.23. Let j = -45.209 + z. Let b = -7.3 + j. 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: Evaluate 1 + -1 + 31 + 17572118\/(-567102).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -513219*m - 3592539. Determine w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/(-4)*(0 + -16) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 5*y + y)*(-43*y**3 + 1462 - 1462).\nAnswer: -387*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:38 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1885*q - 5515. What is i(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345542 (base 7) in base 6?\nAnswer: 1155035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 - 6*r**2 + 6. Let s(k) = 7*k**3 - 2*k**2 + 2. Let a(j) = -j**3 - j**2 + 1. Let f(p) = 3*a(p) + s(p). Give -6*f(c) + 5*o(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -11 (c) -245 (d) 10\/7 (e) -0.3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-41)*n)\/(n\/(n*n**(-1\/6))) assuming n is positive.\nAnswer: n**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, -26, -7, -2, -8 in decreasing order.\nAnswer: 1, -2, -7, -8, -23, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6.22.\nAnswer: 18.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**4 + 0 + 0 + (l**2 - l**2 + l**3)*(3*l - l - 3*l)*(6 - 5 - 3).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.435 + -63.3. Let n = -0.535 + z. Let b = 0 - 1. Sort b, -3\/5, n, 1.\nAnswer: b, -3\/5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 - -2) + 2. Let z = k - 2. Let o = -35 + 51. What is the highest common factor of z and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34615968 to the nearest integer?\nAnswer: 5884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(364)\/sqrt(700) - (-3 + (0 + sqrt(1573) - sqrt(1573)) - (sqrt(1573) + sqrt(1573)*-2 + 2 - sqrt(1573)))**2).\nAnswer: -6317 + 1103*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 26) + 2 - (3 - 55)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u - 29 + u**2 - 2\/3*u**3 - 11\/2*u**4. Calculate w(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/(t**(-6\/11)*t) assuming t is positive.\nAnswer: t**(83\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s + 2*s - s + (-2*s + s + 3*s)*(-2 + 0 + 3) - 3*s + 2*s + 5*s in the form b + w*s and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*r = -64, 3*d + 165 = -r - 82. Let n = 121 + d. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1590, 1586, 1582, 1578?\n\"Answer: -4*y + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 638 + 488*n**4 - 162*n**4 - 156*n**4 - 168*n**4 + n**2 as j + r*n**3 + a*n**2 + x*n + b*n**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/2 + 7*m**2\/2 + 7*m + 12. Let k(a) be the first derivative of y(a). Let b(o) = -8*o + 20. Give -5*b(f) + 14*k(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k*k**(-2\/3))\/((k*(k*k**(-5))\/k)\/(((((k\/k**(2\/5))\/k)\/k)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(-37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1832, 3655, 5478, 7301, 9124?\n\"Answer: 1823*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 273 = 4*v, v - 4*j = -7*j + 82. Solve -68*d = -v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 576\/10 - 4\/(-10). Suppose 0*o - 3*o = -5*i + p, o - 18 = -i. Suppose 6 - i = -4*g. Let x(d) = d**3 - 2*d + 3. Give x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.8. Let r = 3.5 - j. Which is the second biggest value? (a) -2 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -235974 or -235973?\nAnswer: -235973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18622.1 rounded to the nearest one hundred?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.7094673 take away -457?\nAnswer: -352.7094673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 956320.164 to the nearest 10000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, 5, 378.\nAnswer: -4, -1, 2, 5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 370, 753, 1140, 1531, 1926, 2325?\n\"Answer: 2*z**2 + 377*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 12*n - 22)*(n - n + n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-85)*-2*305\/16 + (-5)\/(-20)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b**2 + 412*b + 1667. Determine l(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2831.55 take away 4357?\nAnswer: -7188.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/33 (b) -54 (c) -1 (d) -6602\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 65\/(-2). Let u be 99\/(-2)*88\/(-12). What is the highest common factor of u and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -5*(sqrt(21)*-1 - sqrt(21)))\/(sqrt(7) - (-2*sqrt(21))\/sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16632120 by -744.\nAnswer: -22355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*a - 8 = f, 2*f - 3*a = 16. Suppose -g + 4 = 0, -7*g + f*g - 1396 = -4*w. Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -2, -o - 3*l + 17 = 0. Suppose 2*j + 0*s = 5*s + 31, -o*j = -4*s - 26. Solve 2*y - 12 = -2*a, a + 3*a = j*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 924, -3\/5, -33, -43, 0, -0.4 in decreasing order.\nAnswer: 924, 0, -0.4, -3\/5, -33, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/(4\/(-20)))\/7.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i + 2411 = 302 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*t + 24*t. Suppose 5*u - 39 = -4*f, t = 9*f - 12*f - 5*u + 33. Solve f*q = -5*q - 33 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z, 5*o = 6*o - 2*z - 2. Find r, given that 38*r**o - 3*r**5 + 6*r - 108*r**4 + 34*r**4 + 9*r**2 - 3*r**3 + 27*r**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28965*g - 1 - 28578*g - 27013*g + 4666*g.\nAnswer: -79890*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + -191. Let g be 1 - 2 - (1 - 2). Solve g = -2*y - 5*u - 2, -4*u + 3 = -m*y - 5*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.178\nAnswer: -0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 14*x - 10*x + 2*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/84321 and -11\/6993.\nAnswer: 21839139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 3*y - 4*s, 2*y - 7*y + 738 = -2*s. Suppose 2*u + y = -4*q - 2*u, 2*q - u + 65 = 0. Find the common denominator of -21\/16 and q\/(-4)*(-20)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) + sqrt(39) + -2*sqrt(39))*4)\/(sqrt(6)\/sqrt(2)*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.5. Which is the second biggest value? (a) 0.1 (b) t (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + r**4 - 2*r**4)*(-221 - 4*r + 221) + (-6*r**4 - 3 + 3)*(3*r - 2*r + r).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20566 is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2336 or 7452?\nAnswer: 2336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, 1261, 7 in decreasing order.\nAnswer: 1261, 7, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12215 (base 9) to base 12.\nAnswer: -48ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 17965676 = 15184884. Let u = -18650560 - x. What is u rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 45, 2, -0.3, -1\/6.\nAnswer: -0.3, -1\/6, 1.4, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -114, -129, -142, -153?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 5858*h**2 + 116318*h + 122178.\nAnswer: 2*(h - 2909)*(h - 21)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5438110 is divided by 2152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/16 and 91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 27. Differentiate 12*b**3 - 4*b**3 - 8*b**3 + f*b**4 + 4 wrt b.\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - (-12)\/10. Let m be 96\/190 - (4 + (-444)\/114). Find t, given that 4\/5*t - k*t**3 + m*t**2 + 0 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 3. Let g = x - -14. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8 - 6 + 74*d - 2*d - 7. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 41 = 3*t, 2*t + 0*t + 3*b - 29 = 0. Calculate the highest common divisor of t and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7494765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 57, 123, 225, 369, 561, 807, 1113?\n\"Answer: y**3 + 9*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + i = -35*d - 142, -5*d - 5*i = -130. What is the smallest common multiple of 32 and d?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*q = -256, q - 4*q = -6. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 2, q: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 15*x + 4*x + 9*x to m + r*x and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t - 4*t + 420. Suppose -5*y = -3*i + 33, 2*i - t = -4*y - 6. Suppose -6*b + 215 = -b. Calculate the remainder when b is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 5*m**2 - 11*m + 11. Let y(q) = -5*q**3 - 21*q**2 - 45*q + 43. Let l(n) = 9*w(n) - 2*y(n). List the prime factors of l(7).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41700 + -24790. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3521 is divided by 791?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*l + 49, -10*l + 15*l + 159 = -2*d - 8*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 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: Evaluate (-6)\/(-36)*(-2 - -11)*310\/(-93).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, -102, -353, -738, -1257, -1910?\n\"Answer: -67*j**2 + 84*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 50500351.\nAnswer: -50500351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1085 at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/((-3645)\/30))\/((120\/(-198))\/10).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 57*d**2 - 44*d + 28. Let p be q(-6). Solve 7*l - 2316 = -p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17722*f*z - 36145*f + 6*z + 20 with respect to z.\nAnswer: 17722*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - 104. Solve -n*r + 10 = 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1 - -0.1. Let r = -1.8 - -1.5. Let u be 1\/1 - (1 - 2). What is the nearest to u in y, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -2*(sqrt(130) + sqrt(130) + sqrt(130)*3) - (sqrt(130) - -2*(sqrt(130) - (4*sqrt(130) - sqrt(130)))))\/(1*-5*sqrt(810)*4))**2.\nAnswer: 637\/8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d - 8*d**2 - 36*d + 12*d**2 to t*d + m + p*d**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12202979, -12202977, -12202973, -12202967?\n\"Answer: t**2 - t - 12202979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -82 - (-6 + -19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r**2 + 0*r + 0*r**3 + 1\/4*r**4 + 0 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -5 + 20 + -1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 25*n**2 + 7*n + 176. Calculate u(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 76.117561415?\nAnswer: -78.117561415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 13275618\nAnswer: 39826854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 112, -80, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 97 in ascending order.\nAnswer: -4, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6664936.\nAnswer: 2, 833117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -764 - -825. What is the second biggest value in 0.04, 0, d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/8 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -35, 15\/4, -8, 0, -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**3 + 38*s**3 - 10*s**3 - 9*s**3 - 9*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 1 - 1)*(5 - 3 - 3) + 1 - 3*x**4 - 1 + 6*x**4 + 12 - 12.\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-13\/2) assuming l is positive.\nAnswer: l**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 5712.1, 396, -0.4.\nAnswer: -1, -0.4, -0.3, 396, 5712.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/555152 and -79\/4082.\nAnswer: 555152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369.1 - 419. What is r rounded to zero decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 1. Let u be m(4). Suppose 2*v = 2*k - 142, 0 = -4*k + 2*v + 351 - u. Suppose 4*y - y - k = 0. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2. Let r(w) = -2*w**2 + 2. Calculate -2*r(f) - 3*x(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4962*l - 5410*l + 25536 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343390*f = -1343455*f - 3185 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/250*70\/21. Let p = 21.1 + -22. Which is the third biggest value? (a) s (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56\/3 + -115\/6. Sort 3, -3\/5, 5, u, -7 in ascending order.\nAnswer: -7, -3\/5, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 2481303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300) + -1))**2.\nAnswer: -80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2 + 2)*(8*o + 7 - 7) + 44*o**4 + 63*o**4 - 23*o**4.\nAnswer: 92*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - -1a10?\nAnswer: 19ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12\/(k\/(k*k**(-7)\/k)*k)*k**10\/k**(-1\/8) assuming k is positive.\nAnswer: k**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 865*z**4 + 18*z**3 - 23*z**2 + 4738 wrt z.\nAnswer: 20760*z + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + 0. Let g(k) = 2*k**3 + 3*k**2 + 2*k - 3. Let a be g(-3). Let u = -24 - a. What is the highest common factor of t and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/9799 + 39219\/225377. Let y = 6 + -1. Factor 2\/23*i + 2\/23*i**2 - o*i**y + 0 - 10\/23*i**4 - 6\/23*i**3.\nAnswer: -2*i*(i + 1)**3*(2*i - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 248, 5, -103?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53864 by 26932.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 4130410?\nAnswer: 4130411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1 + 3*n**2 - 5*n - 3*n**2 + n**3 - 1 + 2*n**2. Let h be r(5). Suppose 0*b - b + h = -y, -b + 5*y = -144. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210044*i*v**3 + 6*v**3 + v**2 - 10*v - 423 with respect to i.\nAnswer: 210044*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -15*g. Let d(i) = -i**2 + i + 3. Let f be d(g). Suppose -o = -f*m + 118, -6*m - 4*o = -2*m - 168. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 13 + -14 + 17 + 8 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*(12 + 27 + -15). Factor -20 + g*o**2 + 2 + 17*o - 23*o**2.\nAnswer: (o - 1)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 3*r - 2*r)*(27*r - 11*r - 14*r - 16*r**2) in the form t*r**2 + p*r**3 + f*r + y and give p.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4.7, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 1. Let o(z) = -6*z - 12. Let p(s) = -5*d(s) + o(s). Let n(i) = -i. Let a(c) = -4*n(c) + p(c). What is the first derivative of a(y) wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 + 82*a + 776. What is the hundreds digit of x(-37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q + 8. Let g be l(-6). What is the third derivative of -o**g - 4*o**5 + 5*o**2 + 0 + 0 wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 18*c**2 - 9*c + 17. Is g(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2761, -2756, -2749, -2740, -2729, -2716?\n\"Answer: q**2 + 2*q - 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 2. Let l(j) = -5. Let w(n) = 1. Let u(o) = -l(o) - 6*w(o). Suppose 2*m + 2*z + 8 = 0, -5*m = -0*z - 3*z + 12. Calculate m*u(h) - y(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 245861 divided by -17\nAnswer: -245861\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -807874 - -1490577. Let u(o) = 7892*o**2 - 2*o + 7. Let s be u(5). Suppose 4*t - d = s. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87, 99, 125, 171, 243, 347, 489?\n\"Answer: o**3 + o**2 + 2*o + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/7 - 888*d**4\/7 + 63848*d**3\/7 + 142932*d**2\/7 - 862474*d\/7 + 656580\/7 = 0.\nAnswer: -5, 1, 2, 93, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by 1227122.\nAnswer: 71\/1227122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y**3 + 2*y. Let b(a) = 9*a**3 - 5*a**2 - 9*a + 5. Let m(g) = -2*g**3 + g**2 + 2*g - 1. Let l(x) = b(x) + 5*m(x). What is 6*l(j) - 3*q(j)?\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 517510.912 to the nearest 100.\nAnswer: 517500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -846267 - -2166268. Let z be w\/(-3) - 7\/(-21). What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 13877*s**2\/2 - 10411*s\/2 - 1735.\nAnswer: (s - 1)*(s + 3470)*(4*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -s + 4, 0*s - 4*s - y + 1 = 0. Suppose -1 = -j + s. Solve 0 = j*g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 470, 2980, 7530, 14120?\n\"Answer: 1020*k**2 - 550*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -881392 take away 333309?\nAnswer: -1214701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/5)\/b*b)\/b**(-4\/11)*b**(-1)\/b**(-1\/9))**(-7\/5) assuming b is positive.\nAnswer: b**(-952\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 12. Let p(n) = n**3 - 6*n**2 + 3*n - 2. Let x be p(m). Solve x = 4*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132*-0.01.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235124745 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -30*l + 0*l**3 + 1\/5*l**5 + 37\/12*l**4 + 0 + 0*l**2. What is the third derivative of o(s) wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 41. Let z be b(20). Let k = 13 + z. Suppose 3*t + u - 8 = 105, -2*u = 3*t - 115. Calculate the remainder when t is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 3, x: 6}. Give prob of sequence axrr.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + 3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12739404 divided by 1\nAnswer: 12739404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*n - 129, -109 = -5*z - 2*n + 17. Let u = -10 + 16. Solve -2*i + 25*i**4 + u*i**2 - z*i**5 - 31*i**4 + 27*i**3 - i = 0 for i.\nAnswer: -1, -1\/2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 7) in base 8?\nAnswer: -1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 4*i**2 - 2*i**3 + (0*i + i - 3*i)*(-3*i**2 - 3*i**2 + 4*i**2) - i**3 - 4 + 4 + 11337*i**3 + 12498*i**3 - 6877*i**3.\nAnswer: 16959*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-2))\/(-21)*56\/525.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/12 - s**3 - 3*s**2\/2 - 40*s. Suppose -2*m = 5*c - m - 29, 2*m = -2. Give y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3583 - 1137 = 287*x - 1859 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 0, -5*s - 10*o = -15*o + 35. Sort s, -1, 3, -2 in increasing order.\nAnswer: s, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.43 and 4899051.\nAnswer: 4899059.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -1.12. Let l = 49.8 - 50. What is the second smallest value in y, l, -3\/14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73\/4 of a kilogram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 > 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05218 in 1\/5, 18, 30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -1.26. Let m = -0.95 + w. Let k = m - 3.71. What is the nearest to 1 in 5, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1216)*-2 + (-1*sqrt(19) + -5 - (sqrt(2736) + 0)))**2.\nAnswer: -510*sqrt(19) + 49444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1291)*(-57)\/228. What is the greatest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 44. Let q(x) = -35*x + 399. Determine -28*f(o) + 3*q(o).\nAnswer: 7*o - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-5) + (-2)\/5. Suppose -19*a - 13 = 6. Is a + (-2 - d) - -156 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlolloh. Give prob of sequence loo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*q - 144. Let a be q\/(-49) + (-936)\/21. Let j = a + 62. Which is greater: 16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/21*(4 - 5). Let z = 4.5 + -0.5. Sort z, c, 0.2 in decreasing order.\nAnswer: z, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2818 + 2562 = z. Is 0 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m**15*m*m*(m\/m**1)\/(m*m*m*m*m*m\/m**(-1\/6)) assuming m is positive.\nAnswer: m**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49398?\nAnswer: 2, 3, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30a4165 (base 12) in base 10?\nAnswer: 9172445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -11)\/(4\/1*87\/(-14384))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 89. Let r(q) = 6*q + 1. Let v be r(1). Let w(d) = d**3 - 16*d**2 + 17*d - 30. Let g be w(15). Solve g = 2*j + 3*u + 22, j + y*u = 3*u + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 9\/5*o**5 + 33\/2*o**2 - 39 + 0*o**4 + 0*o**3 + 0*o. What is the second derivative of k(w) wrt w?\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 4*n - 30 = 0, -5*d + 126 - 157 = -0*d - 4*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, 24311, -3, -5 in decreasing order.\nAnswer: 24311, -1\/5, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 0, -2.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15956965 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/7)\/(92\/(-3542)). Solve -4*b + c = 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 265.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/20 + 7*c**4\/12 - c**3\/3 - 2*c**2 + 3*c. Let r be s(-7). Solve 5*o - 30 + r = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*n**3 + 1844*n**2 + 204512*n + 1788304 = 0. Calculate n.\nAnswer: -14, 2281\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2067\/(-265))\/(1*3\/(-60)). Solve -i = 28*m - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-309540)*-1169 - (-130)\/2145\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 1 p when three letters picked without replacement from hahahapap.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-2\/11)))*v*(v*v**(-3\/4))\/v)**(-24) assuming v is positive.\nAnswer: v**(-282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*h + s, h + 4*h + 5*s - 120 = 0. Suppose 4*g + 2*u - 103 = 191, g + 2*u = 72. What is the remainder when g is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -3*r. Let k(g) = -109*g - 1415. Let y be k(-13). Solve 3*a = -r + y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 283 - 12 = 0. Let z = 81 - j. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14528.23451 to the nearest integer.\nAnswer: 14528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-21) - 1642\/84 and 0\/8 - (-40)\/90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -137*c. Let a(t) be the third derivative of -t**8\/10080 + 41*t**5\/20 + t**2 + 9*t. Let l(r) be the third derivative of a(r). Calculate s(l(g)).\nAnswer: 274*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3360338.85 to the nearest one thousand.\nAnswer: -3360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 16*h**2 + 18*h - 20. Give r(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*z - 35, -b - 4*b - 20 = -z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by -88.\nAnswer: 157\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401*b**3 + 338*b**3 - 385*b**3 + 1693*b**3.\nAnswer: 3047*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4831?\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107\/12 + 26\/3. Let r = 478.62 - 471. Let d = r - 4.62. Put d, -0.2, -4, s in decreasing order.\nAnswer: d, -0.2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Let u = 57\/5 - 526\/15. What is the common denominator of u and (9\/5)\/(o\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 3*u + 20 = 0. Calculate the highest common factor of 6 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 742721 * 8\nAnswer: 5941768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - r + 3*r + 5. Let k be l(3). Which is bigger: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**9\/72 - 7*k**5\/30 + 12*k**2. What is the third derivative of f(p) wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*i - 20 = 630*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -68, 4, 76, 148, 220?\n\"Answer: 72*r - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 4, v: 1, i: 3}. Give prob of sequence giav.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*j - 276, 0*t - 3*j + 564 = 4*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = 2*m + 2*v, 0 = -m + 3*v. Suppose -172 = -m*p - 40. What is the greatest common factor of 99 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13655208 is divided by 53973?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 - 642*v**2 + 26397*v - 25758 = 0.\nAnswer: 1, 54, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -33, -91, -205, -393?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -851604*r**3 + 221034*r**2 wrt r.\nAnswer: -5109624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*c = -35, 142629*d - 142625*d - 3*c - 28 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 76. Calculate the highest common factor of 36 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8878 - 8878. Let g(q) be the first derivative of s*q + q**2 - 11 - 7\/3*q**3. What is the second derivative of g(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)\/m**(1\/10))**(-5)\/((m\/((m\/((m*m*m\/(m\/((m\/((m*m**(2\/7))\/m))\/m))*m*m*m*m)\/m)*m*m)\/m))**14\/(m**(-2\/7)\/m)**(-28)) assuming m is positive.\nAnswer: m**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1288032)\/(-168) - (-3)\/21.\nAnswer: 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + y**2 + 10*y**2)*(-3*y + 2*y - y + (15 + 15 - 9)*(-6*y - 2*y - 9*y)) to b*y**3 + r + d*y + t*y**2 and give b.\nAnswer: -2513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nkknnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/16)\/(4\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 4*c + 4. Let m(y) = 2*y + 370*y**3 - 369*y**3 - 2 - y**2 + 1 + 3*y - 4*y. Calculate -g(p) - 4*m(p).\nAnswer: -4*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -463, -1361, -2999, -5593, -9359, -14513, -21271?\nAnswer: -29849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (140\/(-6))\/((-26)\/117). Let l = 165 - s. Let v(j) = -2*j**2 + 10*j + 1. What is the remainder when l is divided by v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 44. Let g = 7.2 - i. Let s = 566 + -565.9. What is the closest to 0.4 in g, -2\/13, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5 and 45\/134891?\nAnswer: 674455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 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 common denominator of 53\/36 and 5\/134477424.\nAnswer: 134477424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:11 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 36. Suppose s + 2*s = -r*v + 1043, -1 = -s. What is the highest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/21, 22, -2\/35 in ascending order.\nAnswer: -2\/21, -2\/35, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 - 2*o + 6. Determine v(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-744)\/25296)\/(9\/(-204))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*p + 5*p. Suppose -2*x + p*g = 10, 0*x - 5*x = -2*g + 25. Let u be 1\/(-15)*x - 4\/(-6). Solve h - u = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*r + 131*r + 4008. Solve r = -2*o + 509 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 70 = 20467*n - 20462*n, 2*q + 2*n = -24 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40491716 - -0.08?\nAnswer: -40491715.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221 = -624*n + 91*n - 19211 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000735682898 rounded to seven decimal places?\nAnswer: -0.0000736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from gggzhgh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 464 = -4*t, -t + 5*g - 2*g + 132 = 0. Let d(c) = c**3 + 11*c**2 + 8*c - 5. Let f be d(-10). What is the greatest common divisor of t and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -29*u**4\/4 + u**3\/3 + 2*u**2 - 40*u + 53. Find the second derivative of i(s) wrt s.\nAnswer: -174*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-16) + (-4)\/(-16). Is l smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -o + 2*v, -4*o - 4*v - 222 = -5*v. Find the common denominator of 7\/(o\/25)*10\/55 and 29\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -b - 11, 4*b - b + 3*h = -9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 11*b**2 + 2*b - 2. Let y(j) = 4*j**3 - 11*j**2 + 2*j - 3. Determine -6*a(r) + 4*y(r).\nAnswer: -2*r**3 + 22*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 2154*h + 1341600.\nAnswer: -3*(h - 1118)*(h + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(6)\/((-2*sqrt(8))\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 10 = -7*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22500\/(-350) + 66)\/(4\/140).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:57 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 27*w = -30*y - 146, -17 = 3*y - 0*y - 2*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence een when three letters picked without replacement from {e: 2, n: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x. Suppose 2*r - 5 - 9 = x. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2110 divided by 435.\nAnswer: 422\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12 and 119\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*d = -3224*d - 1892*d + 41553 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3679257869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 957091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/17 - 3030*x**3\/17 - 3042*x**2\/17 + 15166*x\/17 - 9096\/17 = 0 for x.\nAnswer: -3, 1, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -577369 minus 3305?\nAnswer: -580674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/12 + q**3\/3 - 2*q**2. Let z(g) = -2*g - 2. Let h = -11 + 6. Calculate h*u(a) - 6*z(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-367840)\/(-340) + (-2)\/(-17).\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 (base 9) in base 2?\nAnswer: -11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66150 by 7.\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -491170 times 0.5\nAnswer: -245585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x = -59*x - 30, -3*o - 4*x = -48. Solve 7*z - o = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 33*s - 1628. Give g(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213271 and 6285.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54388750 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35047.\nAnswer: 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73728 = 52*n + 28540. Calculate the remainder when n is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-1)*11*3929\/(-19645)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 9*z**5\/20 + z**4\/12 - z**3\/6 + z**2\/2 + 29*z + 56. Determine j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 200*t - 2000.\nAnswer: -5*(t + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197000.6 decades to centuries.\nAnswer: 19700.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73.029 from -0.5.\nAnswer: -73.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/(36603\/(-126)))\/(10\/(-56)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4044459 is divided by 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121\/20 + 29\/5. Let s be (6\/(-15))\/(-4 - -6). Which is the closest to 2\/3? (a) -4\/3 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = f, -4*f + 45 = -2*y + 5. Let w be (1 - -2) + (-908)\/f. Let j = w + 72. Put 1, j, 1\/8 in increasing order.\nAnswer: j, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s - 8 = -2*w, 0 = -w - 3*s + 4. Let l(v) = -v**2 - v. Let j be l(-1). Let u = 0 + j. Solve u = 3*i - 5 - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/24 + -5)\/((-1)\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c - 1. Let y(z) = -33*z - 2. Give 8*q(o) - 3*y(o).\nAnswer: 11*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4968, -1, 0.\nAnswer: -4968, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 - -1.1. Let r = j - 5. Put 0, r, -2 in decreasing order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72153946?\nAnswer: 2, 36076973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 89545580 a multiple of 4485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 781, -10, -2, 2.\nAnswer: -10, -2, 2, 5, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148\/3 - -50. Factor -l*k**2 + 0 + 0*k - 1\/3*k**3.\nAnswer: -k**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - 36. Let j = g - -75. Let z = -64 - j. Let c(a) = -a**2 + 24. What is c(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.08 (b) 5 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3334*u - 2*u**3 + 388*u + 976*u.\nAnswer: -2*u**3 + 4698*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 4*b + 6*b**2 - b + 7*b**2 + 4*b. Let d(o) = -4*o**2 - o. Determine 2*c(v) + 7*d(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4504 - 4502. Solve 0 = -4*m - 2*v - 14, 4*m + 5*v + i = -9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnu when four letters picked without replacement from nhuacpnccnunupuuccuu.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 285\/90 + -3 + (-46)\/(-156)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5041 + -2.6551. Let f = -0.051 - d. Let t = 6.1 - f. What is the closest to 1 in t, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11664621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66271 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6396*x - 5480*x + 4143*x + 5167*x + (3 - 2 + 0)*(-3*x - 7 + 7).\nAnswer: 10223*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/11 - 7*s**2\/11 + 8*s\/11 + 16\/11 = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2 + 3\/1. Let l be g\/(-5)*5\/4. Is 2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/7 - 2\/7. Suppose -7*q + 76 = -3*q + j*w, -q + 17 = 2*w. Let r = -5 + q. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*b + 1924 = 133*b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-3496)\/(-133) - (-3 + -2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*-1*(-1089)\/(-18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2827587.\nAnswer: -1\/2827587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035549804 to four dps.\nAnswer: -0.0355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 1184*c - 1201*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 2*x + 2. Suppose o = 6*o + 15. Let g be h(o). Find r such that -r**3 - 1 + 0 + r**g + 1 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1756, 8869, 20732, 37351, 58732, 84881, 115804?\nAnswer: 151507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from balllnzaaboobanlbaz. What is prob of sequence onla?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -23. What is the closest to f in -2\/9, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -23. Let y = 10.4 + -10.1. Which is the fourth biggest value? (a) -4 (b) -3\/8 (c) y (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 32)*4\/12. Let w = 17 - i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j**2 - 3. Let b be s(4). Let q = -4 + b. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 - 96*c**3 + 468*c**2 = 0. Calculate c.\nAnswer: 0, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {v: 3, r: 2, c: 2, z: 4, x: 1, t: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7348, 14687, 22022, 29353?\n\"Answer: -2*f**2 + 7345*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 542176927*m**2*n**3 + 3*m**2*n**2 - 5*m**2*n - 335*m**2 - 5*m*n**2 - m + 1 wrt n.\nAnswer: 3253061562*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*q**2 + 27*q**2 + 2*q**2 + 82*q**2 - 10*q**2)*(-4 + 1 - 4).\nAnswer: -861*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 583 - 589 - (-4 - -2 - (0 + -20))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let q be (-3 - -1) + 4 + 0. Suppose q*u + 2*f = -u + 32, 0 = -3*f + 12. Let p = u - 11. Determine s(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -418, -637, -856?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/28 and 93\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 3, o: 8, q: 4}. Give prob of picking 1 o and 1 q.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.171 take away 2?\nAnswer: -3.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3459144)\/(-66))\/4 + (-4)\/(-22). Suppose 2*v + 8*x = 3*x + d, -3*v = 3*x - 19668. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*m + 56 = 36, -3*s + m = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*d - 30, -5*x + 19 = -3*d - 11. Suppose -4*q + 4*r = -24, -3*r + x*r - 6 = -5*q. Let c be (-4)\/(-32)*4*q. Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12*3)\/(1107\/(-13284)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + 4*u**4)*(-4 + 1 - 2)*(1 + 0 + 0) + (-2*u + 3*u + 3*u)*(3*u**3 - 3*u**3 - u**3).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j**2\/j*j))\/(j**(-1)\/((j**(-1\/4)\/j)\/j))*(j*j\/j**(-1))\/j*j*(j**(-6)\/j)\/j*(j**(-1\/7)*j*j)\/((j\/j**2)\/j) assuming j is positive.\nAnswer: j**(-67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -66. Suppose -20*j + k*j = -25. Suppose -2*s + j*c = -1, 5 = 5*c - 0. Solve -s*u = -6*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Let j(r) = 13944*r. Calculate j(u(t)).\nAnswer: -55776*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 4, -4, 6361 in increasing order.\nAnswer: -4, 4, 207, 6361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -75, -132, -185, -234, -279, -320?\n\"Answer: 2*y**2 - 67*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 4. Let j be g(6). Suppose 0 = -3*i - 0*i + 9. Suppose -8 = i*a + 1. What is the closest to 1 in j, a, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -242030 and -242028 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*y - 5, y + 2*v = 12 - 19. Sort 0, y, 3, -6 in increasing order.\nAnswer: -6, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0*a**2 + a**3 + 4 + 13*a + 0*a**3 - 13*a**2. List the prime factors of w(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.707 - -0.047. Round u to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-5 - -3)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3064*n - 605*n - 1017744 = 7515*n for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 9, v: 2, t: 6}. What is prob of sequence clv?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a3 - -60?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((16\/120)\/((-4)\/6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-6)\/(-8)*3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**3 + 4*h**2 + 7*h - 1. Let x(o) = o**2 - 5*o - 9. Let k be x(6). List the prime factors of g(k).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176\/5*v + 2\/5*v**5 - 36\/5*v**2 - 178\/5*v**3 + 0 + 36\/5*v**4 = 0. Calculate v.\nAnswer: -22, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**7\/d*d*d*d**(-3)\/d*d*(d*d*d*d**(-5\/2))\/(d\/(d\/d**(-11))) assuming d is positive.\nAnswer: d**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 70315655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048 divided by -4?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {s: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564 + 611.9. Let t = d + -52. Let i = t - -5.4. Round i to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.58794 and -0.04.\nAnswer: -0.62794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 524?\nAnswer: -5\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 10*x**2 + 12*x - 11. Let f be p(11). Suppose g = -f*g + 1. Let s be 366\/252 - 2\/12. Is g at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n**5 - 863*n**4 + 11610*n**3 + 729*n**2 = 0 for n.\nAnswer: -1\/16, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.30006 + 1.3. Round x to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92330, 92322, 92312, 92300, 92286, 92270?\nAnswer: 92252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131449532*c**2 + 258487870*c wrt c.\nAnswer: 262899064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 20536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 8*c + 6. Let k = -201 + 207. Calculate z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -773959, -3, 7 in ascending order.\nAnswer: -773959, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**4\/6 - y**3\/2 - 224*y**2. Calculate t(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-35)\/2))\/(2\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1 - 2*r + 0*r + 0*r + (-4*r + r + 2*r)*(3 - 3 + 1) - 4*r + 0*r + 3*r)*(-1 - 7 + 2)*(-4*r**4 + r**4 + r**4) - r**5 - 2*r**5 + r**5.\nAnswer: -62*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 4*z + 16. Let m be 48\/21 - (-2)\/(-7). Sort z, -2, m in decreasing order.\nAnswer: z, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -s - 8. Let y = -2 - s. What is the lowest common multiple of y and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.04 + -0.32. Let l = o - 0.17. Let q = 0.550053 - l. Round q to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:01 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2*i - 5577*i**3 - 29 - 5569*i**3 + 11157*i**3 to the form r + l*i**3 + y*i + s*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011111111001000?\nAnswer: 1011111111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let w(n) be the first derivative of 13*n**3\/3 + 7. Calculate w(x(q)).\nAnswer: 52*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k - 7. Let b be l(-5). Suppose 3*t - 2*t = -2*j - 13, b*j = 3*t - 15. Let u be (-3)\/(1*j)*0. Solve 2*f + f - 9 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*l - 63, -l - 2*l + k = -71. Suppose z - 42 = -2*z. Calculate the least common multiple of l and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 11*k - 11. Let a(y) be the second derivative of y**4\/6 + 7*y**3\/6 - 15*y**2\/2 + 19*y. Let r be a(2). List the prime factors of p(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s - 150 - 334 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u. Let t = -3.2 + 42.2. Let k = t - 35. What is the third biggest value in u, 0.1, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let u be 2 - (-11)\/11 - 8\/(-2). Suppose 3*d = d + 2*b - 4, 2*b + 8 = -2*d. Let p be (d + 4)*1\/1 - u. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1922 + 1983. What is the remainder when 914 is divided by f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.740665 rounded to 1 decimal place?\nAnswer: 780.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 6*p**2 + 6*p + 21. What is k(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.02 (c) 0.4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/3, 331, -226004?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuguuguuuucuuuuu. What is prob of picking 1 u and 2 g?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = q, -10*q + 11*q - 5*p - 13 = 0. Solve q*j - 2 + 8 = 0, -5*z = 5*j + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4626\/14 - 2) + (-76)\/(-133). Let n be (-1)\/1*(-115 - 4). Suppose -d + n = -6*p. What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36350638 (base 9) in base 12?\nAnswer: -5b3aa22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3630, 1, 565, -5.\nAnswer: -3630, -5, 1, 2, 4, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 3. Suppose -5*b - 2*z = 27, 12 = -2*b - b + 3*z. Let k = 490 + -489. Let x(n) = -32*n + k + 29*n + 4*n. Determine b*x(q) + 2*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732426247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -41. Let w be (-16800 - 0)*v\/(-15). Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070356 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0248 times -7972?\nAnswer: -197.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -156. Let c = y - 81.99892. Round c to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905451070?\nAnswer: 2, 5, 6367, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -416073 divided by -180\nAnswer: 138691\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28253628 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/90*k**6 - 1\/6*k**2 + 0*k**3 + 0*k**5 + 0 + 1\/18*k**4 + 4*k. Factor y(x).\nAnswer: -(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 12 = -8*o. Let s = 8 - -4. Let w = o - s. Put w, 5, -1 in increasing order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 10}. Give prob of picking 3 b and 1 w.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) 0.1 (c) 3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8198695, -16397394, -24596095, -32794798, -40993503, -49192210, -57390919?\nAnswer: -65589630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84bc (base 16) to base 15.\nAnswer: a105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356519239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*d + 583 = 0, -3*n - 2*d + 1746 = -5*d. Find the common denominator of n\/98 - 2\/4 and 23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19187694 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27971800907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 154219339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2838044 - 1b?\nAnswer: 2838025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/(-1) + 3 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3 and 10\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 108264.26.\nAnswer: 108283.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyiyyiiyyyyyyyyy. What is prob of picking 3 i?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.221 - -344.779. Let m = 218 - y. Let d = m + 127.000079. Round d to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117083?\nAnswer: 191, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*h - 4 - 10 = 0, -5*h + 10 = 0. Let w = b + 2. Suppose -w*r - 54 - 34 = -4*d, 63 = 3*d - 2*r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/7 - 58890*z**2\/7 + 275296800*z\/7 + 136082160000\/7 = 0. What is z?\nAnswer: -450, 10040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 3, a: 7, k: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -181*p**3 - 3*p**2 - 2*p. Let r be j(-1). Let t be (483\/r)\/7 + 30\/(-225). Which is the closest to -3? (a) -4 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341180227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24490433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*j + 199 = -684*j. Let v = 203 + j. What is the closest to -0.09 in 1, -2, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*z - 40, 0 = -4*r + r - 3*z + 30. Suppose -90 = -r*o - 0*o. Is 896\/(-24)*o\/(-8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:06 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(-10)*24\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22000)\/1001 - 224\/10192?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -4 + -1 - 4) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/36*p**4 + 0*p**2 + 1\/18*p**3 + 0 + 3*p. Factor m(x).\nAnswer: x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1984, -1865, -1582, -1057, -212, 1031, 2750?\n\"Answer: 13*b**3 + 4*b**2 + 16*b - 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.894101*-4\nAnswer: 15.576404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, p: 2}. Give prob of sequence sspp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.85168 weeks in seconds?\nAnswer: 47689496.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122 and -750.\nAnswer: 91500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -10, -5, 845, -3 in increasing order.\nAnswer: -10, -7, -5, -3, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = l + 2*d + 27, 0 = l - 4*d - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/72 and 109\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/84)\/5)\/(108\/144).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 15*w)*(-3 + 2 + 3)*(-4 - 4 + 6) to c + u*w and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + 82 - 2806*u - 860 + 2808*u in the form r + f*u and give r.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54382 + 5.\nAnswer: -54377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 42 + 6 = 0. Suppose -r + 12 = 33. Let y = r + 105. What is the greatest common factor of y and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3. Let g be r(-2). Suppose s + g = 4. Suppose 4*o**4 + 7*o**s - 11 + 11*o**3 + 22*o**2 + 3 = 0. What is o?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 11 - 2 - o. What is the tens digit of s(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228 - -303. Let 65*k + 3645 + 56*k + 5*k**2 - h*k + 224*k = 0. Calculate k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2357673, -2357694, -2357715, -2357736, -2357757, -2357778?\nAnswer: -2357799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -6 + (-3)\/(-3 - -2). What is the remainder when b\/4 + 2305\/20 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*a**2 + 55 - 256 + 162*a**2 + 126*a**2 + 2*a**2.\nAnswer: 483*a**2 - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -2\/3, -5, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-40))\/(1\/(-35)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/4900 and -143\/7000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 - 2*t + 2. Let q be y(0). Suppose -3*l + 261 = -2*a, -q*l = -0*l - a - 174. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 359619*v - 3 - 719191*v - 1 + 359584*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 10*l**2 - 8*l + 8. Let u be q(-9). Sort u, 4, 3 in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otffooo. Give prob of picking 1 f and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60860954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from ujujujujjujjj.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - 2*h)*(-4*h + 0*h + 2*h) - 51*h - 5*h + 13*h**2 + 14*h.\nAnswer: 17*h**2 - 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 439*f**3*w**3 - 91430*f**3*w + 2*f**3 - f**2*w - 203533*f*w**4 + f + 3*w + 1 wrt w?\nAnswer: 2634*f**3*w - 2442396*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -276, -522, -840?\n\"Answer: -36*h**2 - 66*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53208 by -24.\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30083\/78 + -2303\/6. Suppose -i - 16\/13*g + 2\/13*g**2 + 2\/13*g**3 = 0. What is g?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1191 + -823. Suppose -k = 2*g - 454 + 74, k - t = g. Suppose -5*j - 3180 = -5*q, 3*q - j = k + 1540. What is q rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:30 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5329531 and -65\/8.\nAnswer: 42636248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*((-3 - 2*h + 3)*(-30 + 200 + 141) + (-6 - 2 + 1)*(-h + 0*h + 3*h)*(-4 + 2 + 1)).\nAnswer: 608*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16118 - 10394. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*(-6)\/4. Suppose 4*g - 3*w = -305, j*g + 382 = 5*w - w. Let y = g - -445\/6. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5940*q = -8310*q - 11850 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 5*x = -10*u - 9, 5*u + 19 = -3*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24507675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (6 + -8 + 2\/1). Suppose 0 = -3*p - f*p + 44. Solve 2*l = p*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, t: 7}. Give prob of picking 4 t.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89.95 and 0.1.\nAnswer: -8.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 18 = -3*b, b - 3*k = k + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*m, -4*x + 17 + 14 = 5*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 591.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 8, m: 1, i: 4}. Give prob of picking 2 b.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 18. Determine t(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + a, -l + 4*a = 1 + 11. Let z = 5 - l. Suppose -r = 2*f + f + 5, -2*r - 5*f = z. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 101780*m + 1628473. Determine i(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/910*13*56?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89751 or -89756?\nAnswer: -89751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.479 - -0.521. What is the third biggest value in 5, a, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 6900*a**4 - 2*a**3 + 189415*a**2?\nAnswer: 120*a**2 + 165600*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 - 7 + 37 - 43 - 54 - 8*f to s + i*f and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2)\/4*-1. Let a = 3660 + -3663. What is the closest to m in a, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5331676?\nAnswer: 2, 7, 17, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 11*p**2 - 9*p - 5. Suppose -7 + 56 = 7*b. Is 28 a factor of o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128796 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 11*o**5\/60 + o**4\/24 + 23*o**3\/6 - 971*o**2 - 1. Let f(j) = 7*j**2 + j + 15. Determine -8*f(p) + 5*g(p).\nAnswer: -p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a + 50 = 0. What are the prime factors of (0 - 5)*(-28 - a)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382787 less than 0.06?\nAnswer: -1382786.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*b - 10, -3*b + 8*b = 10. Suppose -s = -n - 4. Suppose s*f = 469 + 23. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421 + 421. Which is the biggest value? (a) l (b) 2\/9 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = h + 4*r, 15*r - 18*r = -h + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.032, 0.1, -17.01, -0.5, -4.\nAnswer: -17.01, -4, -0.5, 0.032, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 31 = -3*c. Suppose 2*x - 4*x + c = d, 2*x - 11 = -3*d. Suppose 3*a = -h + x, a + 3 + 7 = 3*h. Solve -h*j + 4*r = -28, 2*r = -2*j + j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.1, 0.5, 1418.6505?\nAnswer: 1418.6505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 90. Put g, -2, -5 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/5 + 5301*j - 26502\/5 = 0.\nAnswer: 1, 8834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68536115 to the nearest integer?\nAnswer: 8279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0406 + 0.056. What is v rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7137.25944 + -7137. Let z = 0.26 - t. Round z to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/69230 and 59\/175.\nAnswer: 346150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3214, -4, -1, 2, -3, 6, 3 in ascending order.\nAnswer: -4, -3, -1, 2, 3, 6, 3214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8624025 or 8624015?\nAnswer: 8624015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, -2\/9, -4044025?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 9. Let h be i(11). What is the remainder when 15 is divided by (-1)\/2*h*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v + 6*v + 0*v. Let r(s) = -s. Determine r(f(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 9 + 3*f - 90)*(0 - 2 - 1) - 1 + 1 - 2*f as k + y*f and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100.9 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1143 + -1132. Calculate the highest common factor of 1518 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -109, -240, -423?\n\"Answer: -26*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2532039 is divided by 978?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 12. Let t(w) = -125329*w. Determine t(p(r)).\nAnswer: 125329*r + 1503948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 4*z + 7. Suppose -j + 2 = 7. Let a be q(j). Suppose 2*p + 5*m = -p + 5, 5*p - 2*m = -a. Sort p, 5, -1.\nAnswer: -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 22*y**2 + 19*y + 26. Let w be p(21). Let k = w + 43. Calculate the remainder when 95 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/4 (c) -0.4 (d) -684 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 1124910?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -19, -41, -89, -175, -311, -509, -781?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Let c = -3 - -5. Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 360 = -30*m. Solve 2*t + 3*q + m = -q, -q = -t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2182*f + 458204. Calculate y(-210).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 105 (b) -0.4 (c) 0.084 (d) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -9, 0.2, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -12. Let p = 12.999983 - z. What is p rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j**2 - 6*j + 77. What is the thousands digit of x(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -30*w - 715. Calculate n(-11).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - -1.16. Which is the nearest to r? (a) -0.3 (b) -4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.4 and -3903688700163.\nAnswer: -3903688700166.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4.49 (b) -2\/13 (c) -5602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q + 6. Let c be u(3). Solve c*w - 7 = v, -2*v - 16 = -4*w + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -206. Factor 1\/2*v + 1\/4 + 1\/4*v**t.\nAnswer: (v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164453*v + 9489*v - 11549*v.\nAnswer: 162393*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4337\/2 + -2124. What is the common denominator of 13\/9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 6. Let i(y) = 21*y + 28. Let s(u) = i(u) - 4*t(u). Give s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*s - 59 - 152, -3*r + 4*s = -137. Is 18\/(9 + -3) + r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -14. Let l be h\/14 + (-64)\/(-14). Let z(j) = 3*j**2 - j + 1. Let b(t) = -t**2. Determine l*b(u) + z(u).\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -6373032129.46 and 10.\nAnswer: -6373032119.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9, -3*j + 4*f + 923 - 146 = 0. Let r = j - 155. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9312 and 4512.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245798221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4234524 (base 6) to base 7\nAnswer: -1521601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-8)\/3))\/((-69)\/414)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (sqrt(48) - (sqrt(48) - sqrt(48)*1))) + sqrt(48) - 2*sqrt(3)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13823 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-20))\/(((-132)\/(-40))\/11). Calculate the lowest common multiple of 228 and ((-6)\/8)\/(u\/160).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/2*g**2 - 2*g + 2 - 1\/2*g**3. Let f(o) be the first derivative of t(o). Give f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8072638 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/15)\/(3 + 105\/(-36)). Is o - 56352\/(-30) - 2\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 32, 70, 108, 146?\n\"Answer: 38*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 72 = w. Let n = w - 30. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/5 + 228*p**4\/5 - 4472*p**3\/5 - 10704*p**2\/5 + 17824*p\/5 + 39168\/5 = 0. What is p?\nAnswer: -72, -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 10, 3\/5, -0.09, -200 in ascending order.\nAnswer: -200, -43, -0.09, 3\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 2*b**3 + 2*b**2 + 2*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281644.\nAnswer: 2, 11, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 + 0*j**3 + 2*j**3 - 58*j - 2968*j**2 - 3*j**3.\nAnswer: -j**3 - 2968*j**2 - 58*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 34. Let j(p) = 6*p**2 - 7*p + 4. Suppose -6*c + 3*c - 7 = -b, 3 = -b - 2*c. Let a(w) = w**2 - w + 1. What is b*j(f) + d*a(f)?\nAnswer: f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**2 - 14*a. Suppose 77 = 8*p - 15*p. Let n(y) = 7*y + 2*y**2 + 3*y**2 - 2*y. Calculate p*n(t) - 4*h(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - o - 1, o - 11 = -5*r. Factor 0 - i**2 - 2 + r*i**2.\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7939.561ml to litres.\nAnswer: 7.939561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(396\/275) - 5\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/7097477?\nAnswer: -1\/7097477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -1657*i**7\/42 + 10*i**4\/3 + i**3\/6 + i**2\/2 + 2172*i. What is the third derivative of u(l) wrt l?\nAnswer: -99420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128322659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 9 + -6)*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063272256*b**3 - 2 + 2 + 1063272027*b**3.\nAnswer: -229*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825675 divided by 1?\nAnswer: 1825675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 24 - (3 + -10)) + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2, 0 = 5*o + 2*m - 5*m - 314. Suppose -n = -29 - 17. Let q = o - n. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-14 - -16) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i - c, 4*i + c = i - 37. Let q be (-164)\/i*(0 - -3). Let m = -25 + q. Solve t + 3*a + 10 = 0, -t - m = -5*t + 2*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 21, -59, -1, -2 in descending order.\nAnswer: 21, -1, -2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11 + 2*k**2 - 12 + k + 3*k**2. Let m be o(-1). Solve -5*v = 6 + 4, -m = -f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1135 and -1136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/(z\/z**(-3)*z*z))\/z*z)**(-42))**13 assuming z is positive.\nAnswer: z**1638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -4 + 4. Solve 5*i = -5 - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115076.\nAnswer: 2, 13, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -3*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/720 - y**5\/120 - 5*y**4\/24 - 5*y**2. Let v(t) be the second derivative of m(t). What is v(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-200)*5 - (-9848)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 1 + -9 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-22)*(-3)\/((-3)\/(-4)). Let l = -2.168 - -1.868. Which is the fourth biggest value? (a) z (b) -2 (c) -0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 75*t - 342. Let j be d(32). Solve 2*i + 19 + j = -5*x, -i = -x - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14128 and 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 670260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + h**2 - h + 21. Let d be 1*(3 - (-3 + 6)). Let n be m(d). Let q be (-12)\/(-6) - (-40)\/1. What is the highest common divisor of n and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c + 4*q - 25 = 70*c - 32, -2*c + 14 = 4*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6542973?\nAnswer: 3, 19, 83, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let u be 1 - y - (1 - 11). What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + l - 220 + 22, 0 = -5*a - 4*l + 330. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(0 - 0)*(-145)\/580. Solve -12*x + 0*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7888981um in millimeters?\nAnswer: 0.0007888981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 20 + -63 + 68?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 36 = 347*v - 349*v, -4*v = 5*b - 81. Solve 2*m = 4*d - 6, 3*m = -3*d + b + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4)\/(4\/(-2)). Suppose -o = -0*r - r. Find the second derivative of 3 + 2*n**r - 3 - n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 3*h**2 + 9*h + 0*h**2 - 11 + h**2. Let k be l(8). Is 4\/6 + (-40)\/k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -133*q**2 + 103*q - 50. Let a(b) = 73*b**2 - 51*b + 26. Let w(u) = -5*a(u) - 3*s(u). Suppose w(c) = 0. What is c?\nAnswer: 10\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -46, 4, 1\/3, 0.4, 103.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 7*w - 4*w)*(-2465 - 1562 + 664 + 437).\nAnswer: -5852*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/7 + -74\/105. Let m = -35 + 24. Is y greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295 - 200) + -108 + (0 - (0 + 7)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-324) + 8938280\/216 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(468) + 3) - sqrt(468))**2 + 0.\nAnswer: 1512*sqrt(13) + 23258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9.02. Let t = -2.98 - f. Let y = -22.2 - -21.2. Which is the closest to y? (a) t (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -149*i + 4. Let z be w(-2). Let x = -142 + z. What is the tens digit of ((-46)\/(-10) + -1)*x\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Suppose 0 = a - k + 1 - 5, 3*k - 6 = 0. Let c(n) = 4*n - 12*n + a*n. Calculate c(u(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*a + 239, -p + 4*p = 5*a - 297. Calculate the common denominator of (135\/a)\/(6\/(-44)*14) and 29\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-21)*(-1092)\/(-130)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - 9*c + 9*c)*(-4 + 3 - 1 - 2 + 1 + 0 + (2 + 1 - 4)*(0 - 1 + 0) - 2 + 5 - 2 + 3 - 1 - 4 + 0 - 1 - 1)*(-3*c**4 - 2*c**2 + 2*c**2).\nAnswer: -75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*(-510)\/(-1530)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + n - 27. Let b(t) = 44*t**2 - 124*t + 752. Let s(l) = b(l) - 20*f(l). Factor s(a).\nAnswer: 4*(a - 19)*(a - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.72088s to minutes.\nAnswer: 3.595348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 53*m**2 + 44*m - 1780. Determine h(-24).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225583043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-19)\/((-380)\/60)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -12*k - 4. Let l be 32 - (0 + k - 2). Solve 0 = -4*j + 5*b + l, -4*b = 4 + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2 + (-2 + 1 + 3)*(5 - 6 - 1))*(22*w**2 + 40*w**2 - 16*w**2)*(13 - 13 - 4*w) to l*w**3 + r*w**2 + k + a*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrirvrrne. What is prob of sequence nv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602748 is divided by 108.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29993769 is divided by 948.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 3, -5 in increasing order.\nAnswer: -5, 3, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t + 62. Let f be k(-13). Let s be (f + -1821)\/((-2)\/(-56)). Round s to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98.44 + 3.44. Put 1\/4, -1, -0.5, d in descending order.\nAnswer: 1\/4, -0.5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:15 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 23*a**2 + 15*a + 17. What is y(12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -81. Sort 1\/7, -2, 0.1, z in decreasing order.\nAnswer: z, 1\/7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-33)*o\/(o**(1\/40)*o)*o**30\/(o\/(o\/o**(-3\/8))) assuming o is positive.\nAnswer: o**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u - 15 = -104*u - 3*k, 2*u + 3*k - 20 = 0. Let c(f) = -f + 1. Let t(i) = 30*i - 40. Determine u*t(d) + 40*c(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k + 20. What is the remainder when (6\/(-27) - 84\/(-135)) + 26768\/280 is divided by n(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 530, -4411, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8067905 litres to millilitres.\nAnswer: 806.7905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 61*r**2 + 84*r - 120. Give q(-29).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 304714481\/4 or 76178619?\nAnswer: 76178619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.18096 decades in millennia?\nAnswer: 0.1518096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11\/22*(-4)\/(-15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 14*b - 12*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -61*m - 1457. Calculate v(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1189 and 229303.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkkkqkkkqkkkkqkkqk. What is prob of sequence kkq?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) 0.5 (b) 2\/19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 5*w**2 - 5. Let j(u) = -2*u**2 - 2. Let b(x) = -6*i(x) + 14*j(x). Suppose 136*r - 12 = 130*r. Is b(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -40.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g - 1. Let h(i) = -i**2 - 25*i + 1. Let c(l) = 5*b(l) + 3*h(l). Let p be c(-3). Solve 2*f + p = 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 124 + 318 + 108*a.\nAnswer: 108*a + 364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y + 16. Let k be g(-2). Solve 5*b + 7*o - 2*o + 10 = 0, k = -4*b - 3*o - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u - 3*u)*(-2 - 3 + 3) + (-1 + 1 - 2*u)*(1 - 4 + 1)*(52 + 42 - 11) to the form l*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15003 (base 6) to base 2\nAnswer: 100101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 - 4*x. Let y be ((-4)\/(-10))\/(4\/40). Let u be v(y). Solve u = 5*n + 5*b + 10 - 5, 0 = -n + 5*b - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21011 (base 5) to base 9\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 5)*((-1 - 7 - 3)*(0*o + 0*o - o) + (-o - 6*o + 5*o)*(33 - 20 - 24)) to i*o + t and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 1, p: 2, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 + 1995. What are the prime factors of o?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, x: 2, i: 1, u: 2, j: 2}. What is prob of sequence zzut?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 1. Let r be f(-1). Find the third derivative of 5*s**6 - s**6 - 2*s**6 - 4*s**6 - r*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + -1 + 5 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 31*j - 46. Let b be z(-29). Suppose -y + 10 = -5*w + 7, -4*w + b = 4*y. Solve -y*r + 21 - 18 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 + -213. Solve -9 = -b*g - l, 3*l - 8 = -5*g + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3*z + 5*z - 4.\nAnswer: 5*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3923250137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (3 + (3 - 4) - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3709 + -3708.999998343. What is q rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 395 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, 22, 5, -10 in ascending order.\nAnswer: -10, -5, -2, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 17*l**3\/2 - l. Let p(a) = 5*a**2 + 64*a - 4. Let i(y) = 14*y**2 + 176*y - 11. Let h(w) = -4*i(w) + 11*p(w). Give h(f(j)).\nAnswer: -2601*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52556 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 + 4. Let y be i(5). Let x be (0 + (-3 - -7))\/(-2). Suppose -4*r = -f + 3, -r - 2*r + 2 = -5*f. Sort f, x, y.\nAnswer: x, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose f = -3 + c. Let s be (f + -49)*(-1)\/2. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376767458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-9))\/(37\/111)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1360\/(-2)*(-426)\/3408.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53031, 107053, 161075, 215097?\n\"Answer: 54022*f - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 28 = -17*o. Let u = 5.1 - 0.1. What is the second smallest value in -5, -6, u, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17120805 to the nearest integer?\nAnswer: 4138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 - 5*z**2 + 5. Let j(n) = n**2 + 5*n**2 - 14*n**3 + n**2 - 7. Let m = 50468 - 50461. What is m*t(u) + 5*j(u)?\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361862406.\nAnswer: 2, 8761, 77723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 1. Let z be r(0). Sort z, -6, -2.\nAnswer: -6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8106 divided by -21.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29939794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42*21\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236.84 - 0.84. Let z = 235.9841 - f. What is z rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767739 divided by -80?\nAnswer: -1767739\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**6\/360 - a**5\/120 + 3*a**4\/8 + 154*a**3\/3 - 123. Let j(c) be the third derivative of i(c). Determine j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/12 + -1)*-159. Suppose 4*a - k = 7. Solve -m + a = -6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17775041 (base 8) to base 14.\nAnswer: 7b1dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 7. Let f(d) be the second derivative of d**3\/2 + 2*d**2 - 33*d. Determine 5*f(s) + 2*n(s).\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 587936892 to the power of 1\/2, to the nearest integer?\nAnswer: 24247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 167. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (971 - 971 + 25*q)*(1 + 3 - 1)*(-1 + 1 - 2).\nAnswer: -150*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/21 - (-4)\/(-14). Let w = -89 - -94. Calculate the highest common divisor of v and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 16*p**3 + p**2 - p - 1. Let b be f(-1). What is the units digit of ((-72)\/b)\/((-2)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12) + sqrt(108) + sqrt(120)\/sqrt(10) + 1.\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531 at least as big as 5532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -21*o + 42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2937 (b) 5 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2825315 and 3799295?\nAnswer: 3865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51600\/(-1093920))\/((-5)\/2).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from fpupuffjfuuwfuwi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 146171.37 from 843.\nAnswer: -145328.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 662258396.\nAnswer: 1986775188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133302 + -133114?\nAnswer: -321421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/1265 and -62\/345.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/3 + 20*l**2\/3 - 36*l - 96 = 0.\nAnswer: -24, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-8) - (15\/(-10))\/3. List the prime factors of 745 + (-1 - (-4)\/4)\/w.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/371202, 0, -2\/5.\nAnswer: -2\/5, 0, 5\/371202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 32*u**4 - 2*u**3 - 8*u + 7. Let f(y) = 64*y**4 - 4*y**3 - 15*y + 16. Let i(s) = 2*f(s) - 5*g(s). What is the second derivative of i(l) wrt l?\nAnswer: -384*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 50*u**3 + 85*u**2 - 140*u.\nAnswer: 5*u*(u - 1)*(u + 4)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-150)\/(-4))\/(-5))\/((-45)\/18). Let m(q) be the second derivative of -1\/3*q**f + 0 - 9*q - 5\/2*q**2. What is the first derivative of m(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = 102*v - 40*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**6 - 9012*g**3 - 1813*g**2 + 31.\nAnswer: 2760*g**3 - 54072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-51)\/12)*(-15)\/(133 + 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 307 = -757 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + b - 2. Let i(r) = 23*r**2 + 2*r - 5. Give -i(o) - y(o).\nAnswer: -25*o**2 - 3*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*d + d = -140, 5*l = 3*d + 167. Suppose 5*u - l = -6. Let i(c) = c + 1. Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/3 + 3*m**2 + 7*m + 11\/3 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (-76)\/(-20))*(-10)\/4. Solve -h = 1 - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52041)\/(-133) - (9\/7 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -37*h - 10. Let l(x) = 73*x + 18. Let p(a) = -2*l(a) - 5*u(a). Let c be p(-2). Let s = c + 128. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*5\/45*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*u - 1 - 1348*u + 148*u - 1.\nAnswer: -1067*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(20\/11)*p\/p**(2\/71))\/(((p**24*p)\/p)\/p*p*p**19*p))**(2\/15) assuming p is positive.\nAnswer: p**(-68488\/11715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**2 + 22065870*o - 24345130942845 = 0.\nAnswer: 2206587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/11, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or -156?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r**3 + 5*r**2. Let z(h) = -h**2 - 39*h - 69. Let u be z(-37). Let d(a) = -13*a**3 - 2*a**2. Give u*d(l) + 2*k(l).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 809839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -22. Let t(i) = -2 - 2*i - i - w. What is t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13659, 27736, 42639, 58782, 76579?\n\"Answer: 69*q**3 - q**2 + 13597*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 - 64. Suppose 4*t + 4*d + 14 = 58, -5*t = 2*d - 70. Suppose l - t = 8*w. What is the smallest common multiple of 2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ittleenene. Give prob of picking 2 e and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 - 4*m**3 - m**2 + 4*m**2 + 0*m**2 as y*m + s*m**3 + j*m**2 + x and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - 49. Let o = y - -129. Let r be (-35)\/o - 3\/(-2). Solve -2*d - 2*b - 9 = -25, -r*d = 4*b - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38280, -38281, -38282, -38283, -38284, -38285?\n\"Answer: -o - 38279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h + 104 = 0. What is the remainder when 51 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 2*v**5\/25 + v**4\/5 - 2*v**3\/5 + 10. Factor k(o).\nAnswer: 2*o**2*(o - 1)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24*(4 - 3)*-2. Let r = f - 33. Calculate the remainder when 44 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -3, -1, 3\/2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yysrcsymmrsyyy. What is prob of picking 1 c and 2 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 - 217. Let g = -94.9 - -96.9. Do o and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.066 - 3.066. Let m = 35 - 32.1. Let c = s + m. What is c rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 13, 48, -1 in descending order.\nAnswer: 48, 13, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:47 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7937872?\nAnswer: 2, 409, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 635\/6 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3*l**3 + 0*l**3)*(3*l + 138 + 3*l - 101).\nAnswer: -6*l**4 - 37*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4 + 2 - z + 3 + 3. Let k(i) = 10*i - 35. Calculate -4*k(h) - 35*q(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34746?\nAnswer: 2, 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 27. Let x = -1.79 + 1.69. Let z = -70 + 69.8. Which is the nearest to z? (a) l (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061474335 to five dps.\nAnswer: 0.06147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39885 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23896 is divided by 5946?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*r - 22, -5*v - 5*r = -0*v - 5. Solve -v*q - 36 = -40 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31414261 divided by 7.\nAnswer: -31414261\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*o + 28 = 0, -4*z + 0*z + o = -36. Let a = z + 27. Calculate the greatest common divisor of 70 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -100*b**2 - 1244*b + 2224. Determine w(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*y**3 + 34*y**3 - 91*y**3 + 28*y**3 + 306*y**2 to the form j + w*y**2 + g*y**3 + o*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4101310\/329 - 12466. Let d be 9\/12 + (-65067)\/75012. Let b = z - d. What is the biggest value in -0.2, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 135\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/9)*k)*k\/k**(13\/4))\/(k\/((k*k**(-1\/3))\/k))**(-2\/21) assuming k is positive.\nAnswer: k**(-563\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*m**2 - 1713074*m - 23385529 wrt m?\nAnswer: 62*m - 1713074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - p + 0*p + (0*p + p - 2*p)*(0 + 2 - 3) + (-2*p - 2*p + 2*p)*(-4 + 2 + 4) - 5*p + 5*p + 2*p)*(6 - 59 - 19) to the form y*p + i and give y.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 976.542m?\nAnswer: 97654.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3 - 3*j**2 + j. Let y(a) = -a**2 - 25*a + 25. Let z(q) = 9*l(q) + 2*y(q). Calculate z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 != -56.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12854 + 12853.9958528. Round w to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -0*h. Solve 0 = h*q + 2*m + 12, -3*q + q = 3*m + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 42*k**2 - 196*k + 196*k - 273*k**2 - 175*k**2.\nAnswer: -490*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 15464 = -1214. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*u - 371 = 330*u. Let q(x) be the first derivative of 3\/20*x**2 + 2\/5*x + u - 1\/30*x**3. Determine p so that q(p) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440196.\nAnswer: 2, 11, 31, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 8. Let h be x(6). Suppose 4*i - 4*b - h = 3*i, 2*b = -4*i + 44. Calculate the greatest common factor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/600 - 11*o**5\/75 - 121*o**4\/30 + 53*o**2 + o. Factor d(a).\nAnswer: -a*(a + 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131 + -41712?\nAnswer: -41571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 7}. What is prob of picking 2 o and 1 i?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 5) to base 11\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 41. Suppose 2*a = -3*m + 35 + 28, -5*a + 15 = 0. Let r be 7 - (-12)\/24*8\/(-2). Solve 3*w = -2*z + m, 2*w - i = 2*z - r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37689 is divided by 618.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8269440 divided by 59.\nAnswer: 140160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 33*z**2 - 25*z + 109. Does 40 divide w(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2099.056km to centimeters.\nAnswer: 209905600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/u**(2\/11)))\/u*u**(-2\/19)\/u assuming u is positive.\nAnswer: u**(-820\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3625.2988 + 3626. Let j = 1.8 - 2.5. Let l = b + j. What is l rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*l + 39, 0 = -4*q + 3*l + 11 + 12. Suppose -q*g = -13*g + 35. Find the third derivative of 0*b + b**6 - g*b**2 - 2*b + 2*b wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2615278 hours in microseconds?\nAnswer: 941500080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (452\/1130)\/((-8)\/(-55))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033 divided by 439?\nAnswer: -2033\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 8) to base 6\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 - 4*y - 6. Let t be z(6). Let r(v) = 12*v - 5. Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/9 + 2297482*z\/9 - 127638.\nAnswer: 2*(z + 574371)*(2*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-1\/66)*(g\/(g\/g**(-4))*g)\/g**(-19) assuming g is positive.\nAnswer: g**(4223\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 607, 1575, 2923, 4651, 6759, 9247?\n\"Answer: 190*l**2 + 18*l - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 5\/24*m**4 - 1\/30*m**7 + 0*m**3 + 0 - 1\/15*m**6 - 249*m**2 + 0*m + 1\/15*m**5. Find the third derivative of y(d) wrt d.\nAnswer: -168*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.72? (a) 0.08 (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8445862*z. Let f(i) = 2*i. What is f(y(b))?\nAnswer: 16891724*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137068 divided by -3?\nAnswer: -7137068\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.6 (b) -16\/15 (c) 0.07 (d) -4\/7 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44389451977\/3135 + -14159315. Let q = 2\/285 - x. Suppose -4*t + 0*h = -h + 4, -5*t = -h + 4. Which is the closest to 0.1? (a) t (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -133?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d - 2. Determine l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*z + 31, -3*p = -2*z - 21 + 12. Suppose -805 = -0*w - p*w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 23*r**2. Let k(f) = -2*f**3 - 22*f**2. Give 2*k(c) - 3*p(c).\nAnswer: -c**3 + 25*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094.1048 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -573 + 590. Suppose g*o - 18*o + 3 = 0. Let j = 5 + -2. Solve 4*y - f = j*f - 12, -o*y - f = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2332 times -295\nAnswer: 687940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:33 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121567002*z**2 + 367881425*z.\nAnswer: -243134004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v, o + v + v = 56. Calculate the least common multiple of (4 + -22)*(11\/12 + (-370)\/296) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 divided by 1?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:32 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than 980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 7)*(-38)\/(-4). Suppose q - p = 7. What is the remainder when 412\/q + 12\/78 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*h**3*n + 1455*h**3 + 3*h*n**3 + 8*h*n wrt n.\nAnswer: 9*h**3 + 9*h*n**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-15) + 4 + (-5 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85224 and 2351716?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(228)\/sqrt(4))\/sqrt(3) + -1 + 3 + (-2 + sqrt(304) - (sqrt(38)\/sqrt(2) + 5)).\nAnswer: -5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.23978666 to two dps.\nAnswer: 17.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from {x: 5, h: 4, o: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -177116.\nAnswer: 11\/88558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 + -334. Is 3\/(-6) - d\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 3, -128 in descending order.\nAnswer: 3, 1, -14, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152188 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428 = 1144*z - 3292 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3896*u**2 + 7795*u**2 + 26*u**3 - 19675 - 3900*u**2 + 19675.\nAnswer: 26*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110100111111001 (base 2) in base 7?\nAnswer: -1621203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 502841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 4 (b) -3 (c) 1\/4 (d) 0.12 (e) 4143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/140 in -2\/3, 2\/19, 0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*q**3*y - 48*i**2*q*y - 5*i*q**2*y - 2*i*y + 2*q**3*y wrt i.\nAnswer: -2*q**3*y - 96*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(58*1)*175536\/(-10971)?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 845*f**4 - 52230*f**3 - 1132430*f**2 + 2418145*f - 1234335 = 0. What is f?\nAnswer: -213, -19, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522 is divided by 807?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + 113. Let o = j - 158.9. What is the nearest to o in 3, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 1. Let w(b) = -4*b + 1. Suppose 2*y + 0 - 4 = 0. What is y*w(v) - 3*x(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/30*5\/(-2). Let z = -37\/16 - u. What is the common denominator of -53\/16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + b + 11 = -0*b, 3*b - 9 = -g. What is the closest to 2 in -0.3, g, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlkaukd. Give prob of picking 1 d, 1 u, 1 k, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.455ml to litres.\nAnswer: 0.857455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001542951363 to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -380\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25776529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16380*k - 16356*k - 216 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -683, -1046, -1423, -1814, -2219?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r - 9*r)*(0*r - 3*r + r + (-8 + 0 - 3)*(-2*r - 2*r + 3*r)).\nAnswer: -99*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 10. Let o(d) = -d**3 + 5*d**2 + d. Let r be o(5). Let b(w) = -425*w - 24225. Let u be b(-57). Solve u = 3*p - t*p - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39.663 + -39.9. Let i = -0.23700133 - a. Round i to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 26*z**2 + 2*z - 52*z**2 - 13*z.\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059222949 to 6 decimal places.\nAnswer: -0.000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 126 - 9*y**2 + 159 + 85 + 32.\nAnswer: -9*y**2 + 2*y + 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 6. Suppose 0 = 2*s - 4 + 12. Let r(f) be the third derivative of f**4\/6 - 13*f**3\/6 - 3*f**2. Determine s*r(h) - 9*o(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29901, 51679, 73457?\nAnswer: 95235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -102. Suppose k*x + 1 = 9. Find the second derivative of -7 - 8 + 15 + 14*s**x + 22*s wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -161*(6 + -7) + 2\/(-2). Let p = b + 380. Calculate the highest common divisor of p and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345*o - 111 with respect to o.\nAnswer: -345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2) + (-1548)\/(-24). Let n = -68 + m. Which is smaller: -5\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -966282 - -1827282. What is a rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 1 + 15 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165628 by -3524.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -972, -2212, -3958, -6216?\nAnswer: -8992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7920.15 litres to millilitres.\nAnswer: 7920150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25394879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 206*o**2 - 821*o - 11. Give h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 974, 1489, 2032, 2615?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1118*s. Let l(q) = -223502*q. Determine c(l(j)).\nAnswer: 249875236*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 1.26. Let p = d + -2.96. Which is the second biggest value? (a) p (b) 0 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24680*w**4 + 21*w**2 + 377209*w wrt w.\nAnswer: -296160*w**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 + -244. Let u be 11\/(t\/(-48)) + 2\/10. Suppose -4*h = h + u, 4*s + 3*h = 11753. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 11*t**2 - 1 - 6*t**2)*(-7*t + 2*t - 8*t) in the form x*t**3 + j*t**2 + m*t + g and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 53.43824ug?\nAnswer: 0.00000000005343824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077768 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h)\/(h\/h**(-4\/25))*(h**(2\/37)*h*h)**32 assuming h is positive.\nAnswer: h**(67127\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:37 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 16 + -2 + (-26 - -8 - (4 - 25))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14414195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49405479 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3 - (-6 + 3). Suppose 2*t + 10 = 0, m*t - t - 50 = -3*k. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + 22*k - 8. Let y(m) = 48*m**2 + 137*m - 54. Let z(w) = 27*s(w) - 4*y(w). Let t(c) = 2*c**2 - 3*c**2 + 3*c**2. Give z(t(h)).\nAnswer: -12*h**4 + 92*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let s(a) = -13*a - 2. Let t(g) = -s(g) + 6*y(g). Find the first derivative of t(d) wrt d.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -1\/3, -5, -7 in decreasing order.\nAnswer: 2, 0.1, -1\/3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476590, 0, 5 in decreasing order.\nAnswer: 5, 0, -476590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922052?\nAnswer: 2, 3, 11, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17101.\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.214, 2\/9, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let i(t) = -t. Let q(a) = 2*a**2 - 2*a - 3. Let h be q(2). Let k(m) = -15*m + 3. Let s(x) = h*k(x) - 9*i(x). Calculate s(g(d)).\nAnswer: -6*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((0 + -4)\/(-8)). Let w = -437\/7 + 63. What is the nearest to u in -0.3, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 2:10 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11675810 and 9340648?\nAnswer: 46703240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 3.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -20*n + 3. Let c(w) = -10*w - 65. Let j be c(-6). Is p(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -168, -240, -310?\n\"Answer: b**2 - 77*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-180))\/((-2)\/4)*-27*(-32)\/(-7920)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -24.6. Let n = m + 22. What is the nearest to n in 2, -7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 9*d + 7*d. Let y(q) = -3*q. Give i(y(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*i + 8. Let v = -10 - -23. What is the third derivative of 8*p**6 + 5*p**i - 13 + 11*p**6 + v wrt p?\nAnswer: 2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 33\/12. Let s(q) = 5*q + 1 - i*q - 1. Let g(w) be the second derivative of -5*w**4 - 5*w + 117. Determine s(g(t)).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 - 28. What is the greatest common factor of 72 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6334063 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -1539.\nAnswer: 11\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-7 - (8 - 12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0489905 (b) -1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 + -4*1. Let g be (-693)\/10 - (-5)\/(-25). Let i = g + 68. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -8*g + 30. Is g < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c + 9*c + 260 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 - 1. Let w be a(-1). Suppose 4 - 14 = -w*k. Suppose 0*l + 4*z - 14 = -k*l, -5*l - 5*z + 35 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155549, 155556, 155577, 155618, 155685, 155784, 155921?\nAnswer: 156102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.03 + 0.03. Suppose 26*t - 38 = -3*t - 10*t - 233. Put t, 3.4, z in increasing order.\nAnswer: t, z, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/6*48\/4. Solve 3*f + 8 = 4*m - 16, 2*f = 4*m - x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u - 45 = 25*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 + 1 - 3471*v**2 + 353*v - 348*v - 40*v**3 + 3471*v**2 to the form s*v**3 + l*v**2 + k + u*v**4 + q*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(896) - (sqrt(896) - (-1*sqrt(896) - sqrt(896)))) + sqrt(896))\/(sqrt(8)\/(-2*sqrt(36))))**2.\nAnswer: 790272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - 2065\/(-77). Let k be 4\/(-18) + 9267\/b. Suppose -133 = -4*x + k. Calculate the greatest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*d = -2*d + 1246 - 1248, 0 = 9*b + 5*d - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 211*g - 2. Let i = -6 - -7. Is n(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.013 - 33.013. Let t = -33 - f. Which is the closest to t? (a) -2\/5 (b) -0.3 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:55 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:12 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 369. Let r be o(34). Let q(u) = -u**2 - 4*u + 6. Let v be q(-6). Let f(c) = c**2 + 5*c - 5. Let y be f(v). Sort r, 4, y.\nAnswer: y, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(6) + sqrt(6)*4)*2)*2.\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + (6 - 3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 2982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o + 0 + 0*o**6 + 0*o**4 + 3*o**2 + 0*o**7 + 1\/168*o**8 - 1\/60*o**5 + 0*o**3. What is the third derivative of z(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325) + 1 + 5 + (sqrt(325) - (sqrt(325) + sqrt(325) + 2)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 + 237965*r**3 + 117038515*r**2 + 233363155*r + 116562600 = 0. What is r?\nAnswer: -47096, -495, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, y: 6, d: 3, r: 3, n: 4}. What is prob of sequence irr?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97483134?\nAnswer: 2, 3, 7, 17, 136531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495282 is divided by 523?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 284 - 371*y - 284 + 60*y - 571*y. Let d(i) = 2*i. Determine d(p(b)).\nAnswer: -1764*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 725779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.04 * -1.34.\nAnswer: -4.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5381 + -4946. Calculate the greatest common divisor of f and 765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*v - 2*a, 0 = 5*a + 10 + 5. Let d(o) = 2 + 12 + o - 4. Calculate the remainder when d(0) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-5)\/15). What is the greatest common divisor of n and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 26. Calculate the remainder when 110 is divided by m(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*r**4*v + 3*r**3*v**2 + 38*r**2*v + v**2 - 4*v wrt r?\nAnswer: -264*r*v + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2181*b = 2636 + 8033 + 11141 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -170, -2, 6 in increasing order.\nAnswer: -170, -3, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h - 12. Let i = -119 + 200. What is the remainder when i is divided by c(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 6}. Give prob of sequence ss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.8. Let v = -160 - -159.9. What is the closest to v in b, -4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 2*n)*(-5*n**2 + n**3 + 5*n**2) + (4*n**4 + 0*n**4 - n**4)*(38 + 2 - 8).\nAnswer: 97*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -730, -1, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -37.53?\nAnswer: 37.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 39*j - 47. Let f be d(21). Suppose -5*v + v + f = 0. Suppose -8*p + 4*p + 24 = 0. Calculate the remainder when p is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c**6 + 0*c**4 + 0 + 3*c**2 + 1\/105*c**7 - c**3 + 0*c**5 + 0*c. Differentiate v(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.82991 times 0.03\nAnswer: 0.0248973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/35 + 332\/(-980))\/(10 + -6 - 7)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvy when three letters picked without replacement from ylcvnff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/24*(-1)\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - f = 0, 2*a + 4*f + 14 = -0*a. Let d = 14 - -45. Suppose 3*l = a + d. What is the lowest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5749430802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 458676 by -274.\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1507 + 34663\/23. Which is smaller: 15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141808283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/18813 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 3*u**2 + 10*u + 3. Let w be i(5). Sort -3, w, 0.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.5? (a) -1 (b) 1\/9 (c) 1\/2 (d) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3992, -4004, -4018, -4034, -4052, -4072, -4094?\nAnswer: -4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + -216925?\nAnswer: -216988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + f**4 + 0*f**4)*(0*f + 0*f + f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*u = 9, 0 = -5*j - 5*u - 0*u - 15. Let p(m) = m**2 + m + 22. What is the lowest common multiple of p(j) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-516)\/(-432) - 32\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/45)\/((-174643)\/(-8180))?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*q**3 - 4*q + 871*q**3 + 4*q.\nAnswer: 401*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198 + 202. Let r be 12 + -1 + 0\/2. Differentiate 24 - 45 - r*w**n + 27 wrt w.\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-53)\/3. Suppose 4*j - 74 = t. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10223 - -333?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y = -35*y + 10. Solve -1 = -p - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(18)\/sqrt(6) + -2 + 1*sqrt(12) + -5)*4.\nAnswer: -24 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-4)\/1*180\/45)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-198)*-3)\/((-10)\/(-528)*11)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230 - 30?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k + 15. Let y(q) = 9*q + 7. What is -6*o(u) + 13*y(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-2 + -11 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 42476*h - h**3 - 42476*h + 3*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 13\/(104\/(-176))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15818163?\nAnswer: 3, 1667, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 11) to base 7\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 4. Let g be s(-2). Suppose 0 = 4*z - v - 7 - 4, 2*z + v - 1 = g. Let c(k) = -2*k. Give c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.9 - -6.906336. Round a to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*s, 0 = -g + 4*s - 0 - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*v**3 + 1753*b**3 + 132*b**2*v - 16*b*v**3 + 2*v**3 wrt b.\nAnswer: 18*v**3 + 10518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356 - -359. Solve -4*a = -n*v + 17, a + 11 = 3*a + 5*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 2, u: 1, f: 1, b: 2}. What is prob of sequence fbug?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f*f*f**(-1\/5)))*f)*f)\/(f**(-25)\/f) assuming f is positive.\nAnswer: f**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*y - 516 + 64831 = 425*y for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 7)*(-33 - 1). Suppose 3*u + 4*y = w, -2*u = -6*u - 5*y + 90. Let l = -4 + u. What is the highest common factor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1222 + -1303. Sort -5, z, -2, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j - 869 = -248. What is the closest to j in 0.5, -0.5, -2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*c**3 - 157*c**3 - 871*c**3 + 1174*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30687760 a multiple of 2143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 6*q**2 - 20*q**2 + (0 + 1 - 3)*(-11 - 20 - 25)*(-q**2 - q**2 + 4*q**2) in the form c*q + r + p*q**2 and give p.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*l = -14, 0 = f + 2*f - 3*l - 18. What is the third derivative of 2*i - 2*i - 4*i**2 + 0*i**4 - 4*i**f wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnai when four letters picked without replacement from {i: 3, n: 3, h: 6, a: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 3*m**4 - 2*m**4 + (m**2 + m**2 - 4*m**2)*(m**2 - 1 + 1) - 2*m**4 + 2*m**4 + 2*m**4 + (5*m**2 - 4*m**2 - 8*m**2)*(-2*m**2 - 2*m**2 + 2*m**2).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.59 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 115*o + 16333. Give w(-142).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59187 + 59166 = 3*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 - 141 = -106*i - 221 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10062509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 126 = 2*k, -63*k + 16 = -58*k + 1 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 16. Let k(n) be the third derivative of 0*n - 1\/60*n**5 + 1\/24*n**4 + 0*n**3 - 13*n**2 + 0. Give k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30931.96 less than 685?\nAnswer: 31616.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 225059944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6758934 + -4074934. What is y rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 192*s\/7 - 2120\/7.\nAnswer: 2*(s - 10)*(s + 106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31875498 to the nearest integer?\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r + 22. Let u be k(-2). Solve 0 = 3*y + u*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 4*i - 3. Suppose -s + 24 = 3*m + 5, 0 = 3*s - 12. What is the remainder when d(6) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**3\/2 - i**2 + i + 14. Let m(z) = 3*z + 3. Calculate -4*k(d) - 3*m(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.798627301 to five dps.\nAnswer: 0.79863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + 0 + 6 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, q: 2, v: 1, i: 2}. Give prob of sequence kiq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529048*y - 643658.\nAnswer: 529048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*l - 85. Solve c + x - 7 = 0, -l*c - 5*x + 10*x = 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:48 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10525122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 10*q**2 - 11*q - 31. Calculate d(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(41055\/(-910))*-69.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8130882\/116069 - 2592\/37. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 7*n - 20*n)*(-n**3 - 4 + 4 + (2*n**2 + n**2 - n**2)*(-20*n + 16*n - 8*n)) to o*n + q*n**3 + p + b*n**2 + l*n**4 and give l.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3209776 by 802444.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40226939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 922.\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7061e5 - 0?\nAnswer: 7061e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 121, -132 in increasing order.\nAnswer: -132, -2, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 3. Let h be p(5). Let u be (-2 - -1)\/((-1)\/h). Let a = 857 + -857. Solve 2*n - 14 = 2*z, a = -u*n - 2*z - z - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167034 and 147?\nAnswer: 1169238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/9 - 1238*j**3\/9 - 56600*j**2\/3 + 6831656*j\/9 - 29757280\/9 = 0 for j.\nAnswer: -326, 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.07 - 0.07. Let y = -2.4 + k. Let d be (-17)\/238*2*-4. What is the biggest value in 2, y, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 2*m. Let l be u(-2). Suppose -o = -l*o + 5. Put -4, o, 5 in increasing order.\nAnswer: o, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 31.2245?\nAnswer: -31.1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 20 + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 13. Let w be (3\/(-4))\/(1\/604). Let c = w + 7704\/17. Is j less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50451.\nAnswer: 3, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*b**3*r + 1231090*b*r - 87725973*r wrt b.\nAnswer: -84*b**2*r + 1231090*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358 divided by 16482?\nAnswer: -393\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 155846 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 58*(-17)\/2. Let m = -255 - c. Suppose m = 2*i + 81. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c + 2. Let p be h(0). Suppose -4*o = p*f - 136, o = -0*f + f + 31. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1007, 1006, 1005, 1004?\n\"Answer: -d + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 2. Let o be v(-11). Let y = -4 - o. Let a(r) = 2*r - 26 + 56 - y. Determine a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*o**3 - 76\/5 - 308\/5*o - 64*o**2.\nAnswer: -4*(o + 19)*(2*o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 9*y**5\/20 + 7*y**4\/12 + 68*y**2. What is the second derivative of u(h) wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:54 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d - -57e2?\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(448) + 4)**2*3 + (-4*(sqrt(448) + -1) - sqrt(448))).\nAnswer: 912*sqrt(7) + 8376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2465183, -2465184, -2465185, -2465186, -2465187, -2465188?\nAnswer: -2465189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, -0.01, -5\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2220283*i*m + 2946*m + 20 with respect to i.\nAnswer: 2220283*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015745687?\nAnswer: 11, 347, 266111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = 5*g. Find the second derivative of -35*j**2 - 14*j**2 - 7*j**2 - 2*j + g + 0 wrt j.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -695*c**4\/12 + 80*c**3\/3 - 3*c**2 - 45. Let s be m(14). Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 t when four letters picked without replacement from rrtrrrtrrrrrrrrrrt.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g - 51*g**2 + 26*g**4 + 4*g + 18*g**4 wrt g?\nAnswer: 1056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25733 + -25723. Put x, -0.7, -2, -1\/3 in descending order.\nAnswer: x, -1\/3, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2897*934.4.\nAnswer: 2706956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 1\/2 (c) -0.14 (d) -5.83 (e) -38 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7e6771 (base 15) to base 16\nAnswer: 5c4262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 13*v - 3364. What is o(-56)?\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(98))\/((-2*sqrt(70))\/sqrt(10)))\/(-4*((sqrt(490)*-3)\/sqrt(10))\/sqrt(7)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y)**(-18)*(y**(1\/4)\/y)\/(y\/y**(4\/9)) assuming y is positive.\nAnswer: y**(-6349\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3189312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at least 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/154*100\/30\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -37253?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62798 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 8 - 5\/(-5). Solve -2 = a - g, 2*g + 8 = u*a + 3*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1305202 (base 8) to base 13\nAnswer: -c9399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 9) to base 7\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/2 - 78\/5. Let s = -215\/3 - -71. Let n = 2 + 0. Which is the third biggest value? (a) s (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17196740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3.2, 0, 1\/6, 1016\/13, -0.4 in descending order.\nAnswer: 1016\/13, 4, 1\/6, 0, -0.4, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 24. Let l be 14\/5 - a\/15. Suppose 0 = l*c - w - 50, 5*w = 5*c - 0*w - 130. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehhhhshsejsjshjdesh. What is prob of picking 1 s and 2 e?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/190 and -107\/120624.\nAnswer: 11459280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.092 + 1.122. Let m = 1.0299728 - i. Round m to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, -36, 0, -5 in increasing order.\nAnswer: -36, -5, 0, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/(-25) + (-4)\/(-10). What is the common denominator of -85\/4 and s\/6 + 259\/(-140)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*d - 382*d + 4*d**3 + 521*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 320*m**2 - 1650*m - 8103. Give o(-325).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 347*b - 1725. Let u be s(5). Let c(v) = v**3 - 10*v**2 + 7*v - 40. What is c(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1218\/(-261))\/(21\/153)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -4, 2, 14, 32, 56?\n\"Answer: 3*k**2 - 9*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 72*j - 140 = -30. Solve -j*p - 4*c - 4 = 0, 2*c = -4*p - 19 + 35 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/21666 and -137\/12936.\nAnswer: 46711896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11840 + -11844. What is the closest to -26 in -19, h, -1\/5, 1\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 43 - 3*h + 25*h)*(h + 3*h + 0*h).\nAnswer: 88*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**3 + n**4 + 4 + 7 - n**2 - 10 - 4*n**3 as j + v*n**3 + o*n**2 + c*n**4 + b*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from nnndccdvjvccndnjvcnc.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 1642, 3592, 6326?\nAnswer: 9844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (7 + 1 - (-10 - -19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(-6*sqrt(567) - sqrt(567)))**2 - (-4 + ((-1*sqrt(12) - sqrt(12))\/sqrt(4))**2).\nAnswer: -10583\/1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 3 + sqrt(2) - sqrt(2))*1 + ((sqrt(32)\/sqrt(4))\/sqrt(4))**2 + sqrt(14)\/sqrt(7) + 4 + (sqrt(384)\/sqrt(12))**2.\nAnswer: 2*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2551340?\nAnswer: 2551340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 10*m = -18*p - 15*p + 62, 22*m = -110 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303 (base 4) to base 8.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*p - p = 0, p - 4 = 0. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 - 6*w + 3. Let r = -20 + 25. Suppose 0*c + 20 = r*c. Let t be h(c). Are t and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 393 = 398*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11317016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3061\/2 - 1530. Factor x*l**2 + l - 3\/2.\nAnswer: (l - 1)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -2 - (2 + -7). Suppose -3*y = -4*y - a. Suppose 4*w + 5 = 3*w. Sort -2, w, y in increasing order.\nAnswer: w, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 4, x: 1}. What is prob of sequence zx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/765 + 14521\/10710. Find the common denominator of 13\/12 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355\/13, 5\/4, 1\/213 in decreasing order.\nAnswer: 5\/4, 1\/213, -355\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2709344 divided by 246304\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68\/101181 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((18\/(-4))\/(22*-21)). Let u = l + -308. Solve u = -x - 4*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24*g**3 - 7*g**2 - 46. Let r(o) = -22*o**3 - 8*o**2 + o - 52. Determine 8*d(y) - 7*r(y).\nAnswer: -38*y**3 - 7*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20679490 take away -1692?\nAnswer: 20681182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(2 - (1 + 2)). Suppose -2*p - 85 = -x + 92, p - 3*x + 86 = v. Let n = -52 - p. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 0 - 4*(-3)\/(-12). Suppose -79 + 81 = -f. Sort -28, t, f, 3.\nAnswer: -28, t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 22 = -4*f, 48*s - 43*s + 51 = -21*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 604478331 to the power of 1\/2, to the nearest integer?\nAnswer: 24586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*v + 69 = 5*r - 206*v, -2*r + 18 = v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1404?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 80 = -6*y. Suppose -y*o = -2*d - 4*o + 2234, 0 = d - 3*o - 1127. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 1, x: 1, t: 3, s: 2, y: 5}. What is prob of sequence ystx?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 52*h + 138.\nAnswer: 2*(h + 3)*(h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.144m in kilometers?\nAnswer: 0.085144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. What is the nearest to j in -2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56491082532023 less than 4?\nAnswer: -56491082532019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (((sqrt(637)*2 + sqrt(637) - sqrt(637)) + sqrt(637))*-5 + sqrt(637))**2) + -4.\nAnswer: 374546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 25*m - 96 - 148 + 3*m**2.\nAnswer: 3*m**2 - 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.96 - -48. Which is bigger: -0.4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Suppose 8 = 2*n, l + l = n. Suppose -5*k + 4*c + 14 = 0, -4*c = k - 3*k + 8. Let p(x) = -3*x**2 + 2*x**k - x**l. Give p(v(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107144 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(120)*1*2 + sqrt(120))\/sqrt(6))\/(((sqrt(100)*1)\/sqrt(5))\/(sqrt(16)\/(sqrt(24)\/sqrt(3)))).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 6*s - 4. Let f(p) = -p - 36 - 22 + 59. Determine 4*f(r) + j(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 49*g - 32. Determine p(-48).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737541 (base 9) to base 6.\nAnswer: 13222231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35012 is divided by 506.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37440 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: What is ((-2)\/(-37) + 4293\/(-23976))*((-71)\/21 + 3)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 39 = 3*t, 2*t - 3*d + 517 = 505 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396 - 4*w - 30*w**2 + 2*w - 396 to the form k + f*w + h*w**2 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n**4 - 18*n**2 - 2. Let q(u) = -4 - 7 + 10 - 4*u**2 + 3*u**2. Let t(v) = 2*q(v) - y(v). What is the third derivative of t(a) wrt a?\nAnswer: 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 884522674 and 3.018?\nAnswer: 884522670.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1691*b - 92*b + 1011*b - 187*b to the form o*b + z and give o.\nAnswer: 2423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 381620472 divided by 475836?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = -43*z + 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * 0.9.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*o - 69*o - 51*o = -248 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -29*g - 75. Let h(m) = 28*m + 77. Let c(l) = 6*h(l) + 7*q(l). What is the first derivative of c(z) wrt z?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -490 - -1468\/3. What is the second biggest value in c, -2\/199, -1\/4, 3?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from vovoveevvveevvvvee.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 119*y + 22252. Give q(-190).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4131035 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/8 - d**4\/4 - 25*d**3\/8 + d**2\/4 + 3*d = 0. Calculate d.\nAnswer: -4, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5225 = 5*c, 2*c - 37*l - 2110 = -39*l. Calculate the highest common factor of c and 650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -12\/841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035 and -1559.42.\nAnswer: -54.5797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -13*w**5\/20 + w**4\/12 + w**3\/6 + 3*w. Let b = -4588 + 4587. What is z(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.49 + -0.49. Which is the third smallest value? (a) -0.7 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 and 87\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*(-348 - 0) - (-5)\/(350\/(-84))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 1\/6*r**2 + 1\/18*r**3 + 0*r - 1\/24*r**4 + 29. Suppose l(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrkkkkryrkyrrkkkkv. Give prob of picking 4 r.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503 - 499. Sort g, -2, -0.7, -0.1 in ascending order.\nAnswer: -2, -0.7, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*p - 7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 - 17*w**3 - 96*w**2 - 208*w - 128 = 0. Calculate w.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 5*s + 4*m, -8 = -2*s - m. Suppose w = -s*v + 29, w = 5*v - 27 - 8. Calculate the remainder when 31 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2624\/9 + -57485\/198. What is the common denominator of u and 37\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t + 7. Let d(j) = 23*j - 14. Let c(m) = -6*d(m) - 13*f(m). Let o be ((420\/(-8))\/15)\/(1\/2). Let l(h) = 2*h - 3. Give o*l(z) + 3*c(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3972.\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3267, 5, -2, 3\/7, 0.5, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3562 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/5 + 14*q**4\/5 - 38*q**3\/5 + 10*q**2 - 32*q\/5 + 8\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54913 = 325*b - 1422*b - 1007*b - 10311 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -35. Let b = -15.9 + k. Let t = b - -0.4. Sort t, -0.4, 0.2 in ascending order.\nAnswer: t, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144396710 to the power of 1\/2, to the nearest integer?\nAnswer: 12017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4227 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*i + 23 = -2*i, 0 = -4*w + 5*i - 17. Let q(a) be the first derivative of a**2 + 0*a**2 + 2 - w*a**2. Let d(s) = 3*s. Determine q(d(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-790)\/(-240) + 9\/(-216).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 11, h: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6861273?\nAnswer: 3, 313, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 54*t**2 + 194*t - 271. Calculate z(-50).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 0*y + 0*y. Let h(l) be the first derivative of l**3\/2 + 51*l - 46. Let i(b) be the first derivative of h(b). Determine q(i(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:50 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 101 = -74. Solve 4*j - 6 = z*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12569414 to the power of 1\/2, to the nearest integer?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 3. Give h(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23478 and 559559?\nAnswer: 3357354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -121 + 117 + (-11 - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times 0.05?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 35*q**2. Let m(o) be the first derivative of 82*o**3 + 5483. Give -2*m(f) + 15*v(f).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 35. Solve -5*p + 4*l + 0*l - c = 0, 0 = 5*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2153476 + -523361. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 i when three letters picked without replacement from {o: 4, y: 2, l: 1, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2 (b) 5\/2 (c) -0.064 (d) 4 (e) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c - 30*c**2 + 313*c**3 + 13 - 16*c + 10*c**4 - 21 - 309*c**3.\nAnswer: 2*(c - 2)*(c + 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9*3)\/((1456\/21)\/(-4)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2 + 9*w - 4 - 1. Let t be f(7). Suppose -2*a - 3*a = -t. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 + 4.7. Let u = p - -0.7. Let t = u - 2.5. Which is the nearest to -0.1? (a) 2 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 2*m**2 - 13*m + 7. Suppose 35 = -51*j + 56*j. Let h = -2 - -8. Let c(s) = 2*s**3 - 2*s**2 + 12*s - 6. Determine h*g(i) + j*c(i).\nAnswer: 2*i**3 - 2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 4*a + 2. Determine c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -812.5+856.698256\nAnswer: 44.198256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5\/3*l**5 + 0*l - 5*l**4 + 5\/3*l**3 + 35\/3*l**2 - 20\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8612344?\nAnswer: 1\/4306172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-6))\/((-75)\/(-270)). What is the closest to 1 in n, -1, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/364 and (1150\/(-276))\/(4\/(-9))?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717953.1 litres to millilitres.\nAnswer: 717953100","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 371 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -11 (b) -15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807378 is divided by 403672.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*d*j**4 - 11*d*j**3 + 16380*d*j + 3707*j**4 + 155*j**2 wrt j.\nAnswer: -816*d*j - 66*d + 88968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j + 1. Suppose 0 = -4*r + 10 + 2. Suppose 2*d = -2*d + 8. Suppose -d = -r*y + 4. Give f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*f + 2*f + 36, -4*l = -3*f + 37. Suppose -4*t + 2*t = 0. Suppose -2*i + t*i = -36. What is the remainder when i is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4385381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 15 = -41*x + 37*x, 0 = -3*x - 2*i - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 d when three letters picked without replacement from {r: 1, k: 3, d: 2, a: 1, m: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617*c**2 - 771*c**2 + 4*c**3 - 846*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052961339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/3 - 2) + (-880)\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153686199 and 4023?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111100000000100100110 (base 2) in base 10?\nAnswer: 4063526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + s**2 + 5*s - 6. Let n be g(2). Let z = 35 + n. Suppose -3*v + 5*x + 4202 = 0, -2*v + x = -z*v + 1414. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**3 + 7*k**2 - k - 6. Let h(g) = -g**2 + g + 1. Calculate 3*h(l) + o(l).\nAnswer: 8*l**3 + 4*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1 + sqrt(17))**2*1) + -2 + -1.\nAnswer: -21 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/9 + v**2\/3 - v\/3 + 7. Solve z(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c07a - -11d07?\nAnswer: 1dd83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqyyyyyyyyyy. What is prob of sequence yy?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 - 5*t**2 + 91 - t + (-7*t + 23*t + t)*(-2 + 2*t + 2).\nAnswer: 29*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3120 and 12?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1783 + 1796. Let k = 5.1 + -5. Sort -5, a, k in ascending order.\nAnswer: -5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 254*w**6\/15 - w**5\/30 - w**4\/8 - 2*w**3\/3 - 5*w**2. Let x be l(4). What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, b: 12}. Give prob of sequence bhhh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r + 60. Let p be 162\/r + 6\/10. Let c(b) = b**2 - b - 4. Does 9 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + -3)*(-48)\/12. Suppose -14*h - q = -108. Solve -2*r = -3*v - 11 - 3, 0 = -h*r + 2*v + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 13. Suppose 4*d + 20 = z*d. What is the second derivative of 6*g**d + 4*g**3 - 9*g + 2*g**3 - 6*g**3 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 12*a + 10. Give p(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -6) + (-1 - -4). Let f be 636\/w + 4\/10. Suppose 3*g = 5*g - f. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 85182 (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.5, -14, 6, -0.05, -0.09, 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 - 11316*u**4 + 27333*u**2 + 3*u - 2?\nAnswer: -360*u**3 - 271584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66706.\nAnswer: 2, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282 - 10151\/36. Let o(n) be the second derivative of u*n**4 + 1\/18*n**3 - 1\/90*n**6 - 1\/60*n**5 + 0*n**2 + 4*n + 0. Determine m, given that o(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*s = 21, 5*v - 115*s + 108 - 54 = 259 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6157*r + 991254. What is u(161)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 713180115 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69710*c**5 - 96*c**2 - 177*c?\nAnswer: -4182600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -30 - 2*i**2 - 2*i**2 + 3*i**2 - 3*i + 19*i. Let u be v(14). Let s = 12 + u. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2 (c) 284 (d) 526\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yhhhthtykyyhyttytyh.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 5 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 - 11272*y\/5 + 11268\/5.\nAnswer: 4*(y - 2817)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 46 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(11 - 4 + 5)*(-123*u**3 + 123*u**3 - 37*u**4 + 2*u).\nAnswer: 888*u**4 - 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 72*b - 4100. Let c be o(57). Let s(k) be the third derivative of 0 - 1\/75*k**5 - 15*k**2 + 0*k**3 + 0*k**c + 0*k. Factor s(r).\nAnswer: -4*r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-8)\/12) - 0. Calculate the common denominator of 438\/54 + -4 + 0 and ((-6)\/4)\/j*1650\/44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d - 2908 + 8750 - 2906 - 2903. Give v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10414 = -302*t + 556*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -509*v**3 + 4*v**2 + 4*v - 4. Let h(y) = -12726*y**3 + 99*y**2 + 99*y - 99. Calculate -4*h(j) + 99*m(j).\nAnswer: 513*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -79, -134, -205, -298, -419, -574, -769?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6875 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehh when three letters picked without replacement from {e: 11, z: 2, h: 1, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o**3\/13 + 2*o**2 - 184*o\/13 - 64\/13 = 0 for o.\nAnswer: -8, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -1.03. Let o = 11 + -10.6. Let s = -169\/4 + 42. Which is the second biggest value? (a) m (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -119*p - 84. Let y be k(-26). Let o = -6324 + y. Is 0 + 1\/((2\/o)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*i + 1210*i - 38551 = -15011 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370840 and 574040?\nAnswer: 41904920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150618?\nAnswer: 2, 3, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -49 + 54 - (-2 - -17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 71 = 3*i, 2*i = 5*r + 19 - 168. Let j = -6 + r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**8\/20160 - i**7\/2520 + i**6\/180 + 7*i**5\/60 - 2*i**2. Let o(v) be the third derivative of f(v). Is 6 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95471.25 days in microseconds?\nAnswer: 8248716000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13 + 1 - 6 + 0*t - 2 - t. What is o(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/190*(-5)\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -20*y**2 - 12*y + 12. Let d(x) = -12 + 8*x**2 - 34 + 5*x + 41. What is 12*d(t) + 5*h(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from dfpngng.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n - 4*k, -4*n + k + 12 = -20. Let v(l) = -2*l. Let d(w) = -8*w. What is n*v(u) - 2*d(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (577 + 10*w**4 - 577)*(12 - 3 + 6) to the form j*w**3 + u*w + g*w**2 + o + n*w**4 and give n.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrw when three letters picked without replacement from {l: 1, w: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*p + 6884738 + 1049252, -5*p = -r - 3967010. Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3 + 0 = 0, 0 = -y + 3*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 467, 1, -5 in increasing order.\nAnswer: -5, 1, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84257434?\nAnswer: 2, 643, 65519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**3 + 3*z**4 - 6*z**3 - 6 + 6*z + 37 + 19*z**3 in the form u*z + x*z**3 + j*z**4 + g*z**2 + y and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -727, -1622, -2875, -4486?\nAnswer: -6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 9*k + 3*k - 3*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71853843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 259850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2770 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Let r be (-364)\/(-14) + k + 0. Let z be 2\/(-9) - (-1464)\/r. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452 and 53842466.\nAnswer: 107684932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1735 and 34111835.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.2275 decades to centuries.\nAnswer: 78.22275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, l: 2, b: 2, e: 2, v: 1}. Give prob of picking 2 l and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.08, 0.2, -798?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 2*u**2 + 4*u - 3. Let w be v(2). Suppose 2*q - 3*y = 173988, -3*q - 2*q - w*y = -435020. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001097272 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -153. Calculate the remainder when b is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/18*(-204)\/136 + -60.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3162 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*c + 80 = -1219*c + 23*v, 3*c - 4*v = -25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most as big as -8486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 2*z**2 - 3*z**2 + 3*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6006*q + 6012*q + 6005*q - 24042*q + 6012*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 14. Let u = y + -12. Which is the nearest to -0.1? (a) -4 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 1, e: 11}. Give prob of sequence xfef.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*a + 24, -2*h + 15*a - 12*a - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2299*i**3 + 2298*i**3 - 9190*i**3 + 2297*i**3 + 2295*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7998 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 130, 129 in ascending order.\nAnswer: -3, 129, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**5 - 884*h**4 - 397*h**2 + 6*h + 3 wrt h?\nAnswer: -480*h**2 - 21216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 + 1 + 0\/2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*j + 860*j - 81034 + 21784 = -189*j for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92033 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 - 180 - 2711*q**2.\nAnswer: -2711*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10349 rounded to the nearest one hundred?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.6778 decades to centuries.\nAnswer: 88.86778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 10. Let u be p(-6). Suppose -3*x = -r + 3*r - 35, 0 = -5*x - u*r + 61. What is the second derivative of 10*h**4 - x*h**4 + 30*h - 6*h**4 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/767924 and -3\/8347?\nAnswer: 767924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 0.189 (c) -1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045704 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3569?\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 2821?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1732479, 3464966, 5197457, 6929952, 8662451?\n\"Answer: 2*w**2 + 1732481*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 - 1501 = -16*w. Which is smaller: w or 152?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(168\/(-54))*(-1484)\/(-2120).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.58 + -0.48. Let w be (1\/(-1) - -4) + 0. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-g - g + 0*g)*(39*g**3 + 25*g**3 + g**3).\nAnswer: -390*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 - n**4 + (-4*n**2 - n**2 + 2*n**2)*(-3*n + 3*n - 3*n**2).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -969*t + 7. Let j(b) = 127*b. Calculate j(i(v)).\nAnswer: -123063*v + 889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 134*s - 462*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 4*d - 4. Let z be s(-5). Suppose 0 - z = -f. Which is greater: f or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b298 (base 12) in base 14?\nAnswer: -7108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19.4848 - -5\nAnswer: -14.4848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + i + 2 = 21, -5*z + 4*i + 29 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-329400)*-16*27\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 405 or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 25*f**3 - 20*f**2 + 5*f - 330. Determine k so that t(k) = 0.\nAnswer: 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 - 226271916*m + 4266581664192588 = 0.\nAnswer: 37711986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/364 and 121\/6.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Solve -j*q = -2*r + 14 - 0, 8 = -4*q - r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -41. Let f be ((-1)\/2)\/(2\/w). Find the third derivative of -2*t**5 + t**2 + 4*t**3 - f*t**3 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 + 7*f**2 - 3*f. Let d(n) = 8*n**3 + 14*n**2 - 7*n. Let l(j) = -3*d(j) + 7*u(j). Find the third derivative of l(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89080198 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 47. Let d = -54 + n. Which is greater: -10\/23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by 1\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 14. Give s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*a + 193 = -382*a + 2*r, -142 = -2*a + 2*r. Solve -75*i + a*i = -48 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11066 and 847.\nAnswer: 852082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 + 1 = 0. Let y(g) = -g. Let o(m) = m + 3. Let n(t) = o(t) + 2*y(t). Let x be n(-9). Calculate the highest common divisor of x and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.213 + 0.113. Let b = d + 16. Let s = -214 + 218. Sort b, 2\/5, s, -2 in decreasing order.\nAnswer: s, 2\/5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose 8*a - 145 = i*a. Calculate the remainder when -10*(21\/(-2) + (2 - 0)) is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 309.207, -3, 132?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392805262?\nAnswer: 2, 31, 227, 98963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -0*w + w. Let t be 68\/2*w\/16. Let k = -102 + t. Find the common denominator of -101\/8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110375 is divided by 2897?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 6.9083 to 2 decimal places.\nAnswer: 6.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 14*a**2 - 47*a + 12. Let r be c(-7). Let x = 0.7 - 1. Let k = 0.4 - -3.6. What is the third biggest value in r, x, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-2*c**3 + 4*c**3 - c**3) + (-15297*c**3 - 1907 + 15294*c**3 + 147)*(1 - 3 + 0) in the form a*c + w*c**3 + b*c**2 + v and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000308846 to 6 dps.\nAnswer: 0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295.3 - -295.2. Let t = 16 - 10. Let z = t + -3. What is the nearest to z in -1, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/5 - 48*t**2\/5 - 3872*t\/5 + 16128\/5 = 0.\nAnswer: -36, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = x - 3*k, 4*k = 2*x - 95 + 89 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, y: 1, m: 3, g: 5, q: 3, j: 2}. Give prob of sequence gm.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46041, -184277, -414669, -737217, -1151921, -1658781, -2257797?\n\"Answer: -46078*f**2 - 2*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 (base 8) in base 6?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and -6*(36\/8)\/(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -1\/5, -1\/2 in descending order.\nAnswer: 0.08, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaooaooaooo. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllpo. Give prob of sequence lp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -839*l - 14000.\nAnswer: -839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1588308*r - 1. Let c be h(-2). Let p = c - -19676617. Round p to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 61386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 11*w - 4. Let a be u(-5). Let r be 11\/3 - (-6)\/a. Suppose 0 = -4*i + 3*d + 18, -5*i + 23 = -r*d - d. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -5 (c) -58.3 (d) -1\/12 (e) -2\/33 (f) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 + 11551*r**2 + 8340396*r + 8328999. Let k(i) = 48*i**3 + 80856*i**2 + 58382820*i + 58302992. Let t(u) = 3*k(u) - 20*x(u). Factor t(m).\nAnswer: 4*(m + 1)*(m + 1443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 161*j**4\/2 - 115*j**3\/6 - 987*j. Find the second derivative of p(m) wrt m.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-20) + (-3)\/(-20))*-15. Let w(o) = -o + 4. Let b(k) be the first derivative of k**2\/2 - 5*k - 33. Calculate l*w(c) - 5*b(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-770)\/42)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428\/419 or -2?\nAnswer: -428\/419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1263, -2367, -3451, -4503, -5511, -6463, -7347, -8151?\n\"Answer: 2*r**3 - 2*r**2 - 1112*r - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 170256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. Find the third derivative of -6*y**4 + y**2 + 4*y**5 + s*y**4 wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10336847177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1702, 1696, 1686, 1672?\n\"Answer: -2*q**2 + 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19196 times -0.02?\nAnswer: -383.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 + 9*z + 4. Let v be y(-6). What are the prime factors of 1\/(-1 - v\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -82. Suppose 4*h + 6*h - 190 = f. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:38 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -70956?\nAnswer: 29\/35478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/33)\/(86\/(-1892))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.04066 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 46. Let h = -20 - c. List the prime factors of 2 + (-6)\/h + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 61. Let d(s) = 3 + 0 + 5*s - b - 4*s. Let x(n) = 2*n**2 - 18*n - 12. Let p(w) = 28*d(w) + 2*x(w). Factor p(y).\nAnswer: 4*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 9 - (3 + -2 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.353.\nAnswer: -1.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v - 605. Let w be c(37). Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1253 + 1253. Suppose -7*q + 2*q + 5 = 0, -4*a - 5*q = -25. Sort a, -9, 4, p in decreasing order.\nAnswer: a, 4, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12697326 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*m**3 + 3*m**2 - 43*m**3 + 2*m**4 + 85*m**3 + 2*m + 1 to c*m**3 + j + v*m + w*m**2 + z*m**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/2725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 178042 divided by -1?\nAnswer: -178042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26065 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806286 not equal to 14806305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/5 - 7*y**4\/5 + 4*y**2\/5 = 0 for y.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(99)*-1)\/((sqrt(9) + (sqrt(9)*-1 - sqrt(9)))*-4).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, -66, -312, -790, -1578, -2754, -4396, -6582?\n\"Answer: -13*u**3 + u**2 - 4*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339833 + 59*w + 339833 + 56*w - 173*w + 60*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or -1900?\nAnswer: -1900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 4. Let f(v) = -6*v - 3. Suppose -5*p + 15 = 0, -5*p = -4*z - 3 + 4. Give z*f(i) - 3*s(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337710873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 10126847?\nAnswer: -10126856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**8\/720 - p**7\/1260 - 7*p**6\/1080 + p**5\/180 + 2*p**3\/3 + 2*p. Let c(a) be the second derivative of h(a). Factor c(u).\nAnswer: u*(u - 1)*(u + 1)*(7*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5\/22 (b) 0 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27724\/6579 - -6\/731. Let s = 5497\/11 + -497. What is the common denominator of g and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(-21)\/(i**3*i**(2\/5)) assuming i is positive.\nAnswer: i**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -21*k + 2. Let j = -2 - 0. Let l be g(j). What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -4.03?\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90052236?\nAnswer: 2, 3, 41, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(16\/4)\/(-8) - -5. Suppose 9*t = 10*t + x. Let o be (-1)\/(-7) - 13\/t. Solve o*s = 4*p - 8, 3*p = -4*s + p + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 45592 - 45592.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/10 + 34\/((-16830)\/1287) - 358\/(-30)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 41, -4, -7 in increasing order.\nAnswer: -7, -4, -3, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1402.\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (36 - -32)) + 12?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 <= 6770\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/9 - 4*y**3\/9 + 2*y**2 + 4*y = 0. What is y?\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8655 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0.5, -1544.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -51 + 31, 4*m - 4 = x. Sort -5, m, 359, 2, 1.\nAnswer: -5, m, 1, 2, 359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 543998*c**2\/11 + 6*c\/11 = 0.\nAnswer: -3\/271999, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 183*s - 2777. Let h be i(28). Let g(c) = -c**2 - c - 3*c + 2 - c - 6. Let u be g(-5). Put 3, u, h, -3 in ascending order.\nAnswer: h, u, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 18. Sort b, 1, 14.\nAnswer: b, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1332004328*f**3 - 3*f**2 - 590*f - 39244 wrt f.\nAnswer: 7992025968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((81\/20)\/27)\/((-1)\/(-5)). What is u in -3\/2*u - 3\/4*u**2 - y = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 - 127321*t + 246 + 254633*t + 0*t**2 + t**2 - 127312*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a - 6. Let s be r(6). Let y be s\/(-16) - (-2)\/(-8). Let i = 92 + y. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640135325 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -15. Let p = a + -3. What is the closest to -1 in -0.1, 0.3, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 - 10*j - 4. Let o be g(-8). Suppose 0 = -6*m + 9*m + o. Which is the second biggest value? (a) -20 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-15)*(-11 + 2)\/1. Let k be 60\/(25\/5) + m. What is the greatest common factor of k and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 6. Let t(k) = 4*k - 3. Let q(r) = -36*r + 28. Suppose -83*z + 2336 + 2312 = 0. Calculate g*q(l) + z*t(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 91, 99, 107?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:44 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -4. Suppose 5*f - 5*u - 121 = -11, -65 = -3*f + 2*u. Suppose 5*w - 23 = -4*d, -s*d + 59 = -3*w + f. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 1 - 3*-1. Which is the closest to -1? (a) 3 (b) u (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 74 + 11)*(4*i**4 - 3*i**4 + i**4) + 2*i**4 + 3*i**3 - 3*i**3 + (i**3 + i - i)*(-1 + 2*i + 1) + 12*i**3 - 12*i**3 - 7*i**4.\nAnswer: -145*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4 and -17\/34108.\nAnswer: 34108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 + 8*h - 8. Let q(z) = 2*z**2 + 3*z - 3. Let n be 400\/28 - 4\/14. Let v be 2 - (n + -3 + -1). Give v*q(m) + 3*u(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -32*u**2 - 106*u - 504. Calculate w(-6).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5 + 35. Let y(k) = -3*k + 5. Determine y(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/89 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3661.29 to the nearest ten.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 1184 = 44*k. Solve k = -4*p - 4*q, 0 = 3*p - 0*q - 5*q - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**7\/735 - p**6\/420 - p**5\/105 - 3*p**2 + 10. Let k(d) be the second derivative of x(d). Suppose k(y) = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16*x - 14*x = -1369, 0 = 5*p + 5*x - 1390. What is the remainder when p is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.3 (b) -269 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4033134 + 4?\nAnswer: -4033130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*o - 129, -3*o - 2*a + 7*a + 187 = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l + 8. Let f(n) = -9*n - 9. Let i(a) = -2*f(a) - 3*k(a). Find the first derivative of i(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 31. Sort -3, -0.3, j in descending order.\nAnswer: j, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 4*f**2 - 4*f + 2. Let s be p(2). Let n(k) be the first derivative of 1\/8*k**4 + 1\/4*k**2 + 0*k + s + 1\/3*k**3. Factor n(v).\nAnswer: v*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oshu when four letters picked without replacement from {h: 1, u: 5, r: 2, s: 8, o: 2}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 123 - ((-181 - -119) + 139)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 85. Let g = z - 34. Put -33, g, -3, 1 in decreasing order.\nAnswer: 1, g, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-14) - 3\/(-3). Let x(g) be the second derivative of 2\/15*g**l + 3*g + 0*g**2 + 0 - 1\/30*g**4. Factor x(w).\nAnswer: -2*w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 + 5*w**3 - 33*w**2\/2 + 22*w - 10.\nAnswer: -(w - 5)*(w - 2)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -527 - -548. Solve -y = -w - 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Suppose 97 - 29 = -2*q. Let o = q - -38. Which is the biggest value? (a) o (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 8, -1, -2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5 + 2\/15. Sort o, -1, -5 in increasing order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 0.1, 55, 29.75?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.024 (c) 57126 (d) 0 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*q**2 - a*q + 26*q**4 - 3931*q**2 - 2*q - 171469 wrt q.\nAnswer: -2*a + 312*q**2 - 7862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q. Let k(n) = -4*n**2 - 14*n. Let t(s) = -6*k(s) + 21*w(s). Let f(z) = 48*z**2 - 2*z. What is t(f(p))?\nAnswer: 6912*p**4 - 576*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 3. Let s be i(2). Let w be -10*(-2)\/(-8) - s\/(-6). Is (-40 + 6)\/(w\/2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2462369 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345400.\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 250 = -349 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*p - 52, -2*p - 2*c + 6261 - 6279 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/282 and 107\/60?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 4*g**2 + g + 2. Let c be u(-4). Let n = c + 4. Is n less than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98468 is divided by 326?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1428\/51)\/(1477\/(-5064))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 11) in base 13?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4642581 or -4642573?\nAnswer: -4642581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9e1 (base 16) to base 8\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121322?\nAnswer: 2, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.003?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Let c(s) = s - 7 - s**3 - 6*s - g*s - 3*s**2 - 3*s**2. Determine c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2692)\/(-5) - -1) + 57\/95. Suppose 2*i + k = 17*i. What is the least common multiple of i and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 172?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178179553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + 61*g - 6. What is the units digit of x(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 10:46 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371658941.\nAnswer: 11057, 33613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**4 - 1\/40*l**6 - l**2 + 46*l + 2\/105*l**7 + 0 + 0*l**3 - 31\/30*l**5. Find the third derivative of m(f) wrt f.\nAnswer: 96*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14204, -28397, -42590, -56783?\nAnswer: -70976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**8\/168 + z**4\/6 - 9*z**2\/2 + 7. Let l(v) be the second derivative of u(v). Find the second derivative of l(b) wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10609812 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*o = 72, 0*u + 38 = 2*u - 2*o. Let c = 17 - u. Solve 2\/5*l**c - 2\/5 + 2\/5*l**3 - 2\/5*l = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410131 (base 5) to base 6.\nAnswer: 140542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - l - 37 + 19 + 3*l**2 + 10*l = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35216142 divided by -78\nAnswer: -451489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.66 + 1.76. Let u = 14\/29 + 1\/58. Let r = -0.24 - 0.76. Which is the closest to z? (a) 2\/3 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 6252665?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/3? (a) 0.2 (b) 1\/2 (c) -6\/7 (d) 0 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b. Let x be ((-84)\/(-140))\/((-3)\/(-15)). Solve x*r + 6 = -b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3 + m - 1 + 3. Let z be t(-1). Let b = 0 - z. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -186*n**2 + n + 10. Let m(g) = 37*g**2 - 2. Determine -2*d(s) - 11*m(s).\nAnswer: -35*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-23)\/z*z*((z\/(z**21*z))\/z)\/z*z assuming z is positive.\nAnswer: z**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 154*k**3 - 55*k**2. Suppose 11*h - 577 = 28. Let c(x) = 17*x**3 - 6*x**2. Give h*c(u) - 6*g(u).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 14. Suppose 4*n - u + 6 = -3*l, -3*l = -n - 25. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*q + 13*q + q - 188*q**2 - 11*q**2 - 2 - 32*q wrt q.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:35 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*(-16)\/192)\/((-1)\/(-9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.2? (a) -7 (b) -3 (c) 2 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11648\/15 or -776?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5)*(-5)\/(-1). Calculate the remainder when 22 is divided by l\/(2*(-1)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1378*d + 0*d**3 + 1377*d - d**3 + 14*d**2 + 1 + 4. Give s(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004567004 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v - 5. Let w(i) = -i + 2. Let o be w(6). Let l be f(o). Suppose -b = -l*h + 2*h + 9, 3*h - 42 = -2*b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.174*-0.1.\nAnswer: 3.5174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21) + 46\/14. Let t be 4\/(-5) - (-5 + (-10)\/(-50)). Suppose 0 = -2*k + t*k + 6, 2*k = -w*h + 36. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 36 = 6*j. Let c be (-1)\/(1\/(-2) - 0). Let z(y) = -2*y**2 - 2 + c*y**2 + 5*y + y**2. What is z(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 6*u - 1. Let m(b) = -6*b**2 - 3*b + 7*b**2 + 2*b + 2*b. What is -c(r) + 4*m(r)?\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 3408*z - 725904.\nAnswer: -4*(z - 426)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -107*k**2 + 250*k**2 - 133*k**2. Let m(c) = 936*c**2. What is m(z(w))?\nAnswer: 93600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 0*q**2 - 4*q**2 + q**2. Let n be (-4)\/2 - (-3 - 11). Let m(v) = 12 + 5*v - n. Determine m(x(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37577144 is divided by 5553?\nAnswer: 5546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1476831925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 976.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491268 = 27*j - 993214 - 137975. What is j rounded to the nearest one hundred?\nAnswer: 60100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-48))\/((-3)\/18). Let l = -2.4 + -11.6. Let u = 14.1 + l. Put k, u, -3 in descending order.\nAnswer: u, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 615, 600, 575, 540, 495?\n\"Answer: -5*y**2 + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1 + 105*h + 99*h - 203*h + 0. Let z(g) = 6*g + 5. What is -14*f(x) + 2*z(x)?\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppkpscckvspv. Give prob of sequence vcc.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/((-16)\/64). Let d be u\/(165\/(-10)) - (-196)\/(-110). Suppose w - 5*x + 7 = 0, 12 = -5*w + 3*x - 1. Is d equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m = -37*m + 70*m - 1324755. What are the prime factors of m?\nAnswer: 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3 + 2 + 0 + 3*i - 3*i**2. Suppose -3*l + 2 = -100. Let d(f) = -4*f + 1 - l*f**2 + 17*f**2 + 20*f**2. Calculate -3*d(h) - 4*t(h).\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*a*d**4 - 5092*a*d**3 + 4*a*d**2 + 5*a*d - 7*a + 2*d**3 - 436*d**2 wrt d?\nAnswer: 2208*a*d - 30552*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*(b\/(b\/b**9))\/b)**11\/((b*b**(1\/4)*b**9)\/(b\/(b\/(b\/b**(-1\/4)))*((b**(6\/11)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(2294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11214323*w + 5575644 wrt w?\nAnswer: -11214323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1431348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -6908\nAnswer: -7\/3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**2*i**2 - 2*d**2*i - 8*d**2 - 43*i**2 - 4*i with respect to d.\nAnswer: 16*d*i**2 - 4*d*i - 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 780*n + 4*n**2 - 780*n. Let u(s) = 17*s. Calculate p(u(k)).\nAnswer: 1156*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314441713.\nAnswer: 127, 773, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 65 = 3*h, 0 = x - 6*x + 5*h + 105. Find the second derivative of -1553*z**3 + 1553*z**3 - 11*z**4 - x*z wrt z.\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 5*w + 30 = 13*f, -10 = 3*f - 5*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114914.\nAnswer: 2, 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(208)\/sqrt(2)*1)\/(sqrt(98)*-1 + sqrt(98) - sqrt(8)\/sqrt(4)*-4) + -2).\nAnswer: -3*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.3. Let d = -0.041 - 0.959. Which is the closest to d? (a) z (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527.63389 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + 438 + (4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*u + 156*u + 106*u + (-u + 0*u - u)*(4 - 4 + 1) - 5*u + 2*u + 2*u - 4*u + u - u to h + w*u and give w.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13277*s - 198. Let l(z) = 531*z + 8. Give 99*l(j) + 4*r(j).\nAnswer: -539*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5489, 1, -15.\nAnswer: -5489, -15, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 168*t**2 - 5952*t + 932925. Give g(166).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/120 + d**5\/60 + 2*d**2. Let m(z) = 2*z**3 - z**2 - z - 1. Let c(g) = 2*m(g) + 3*x(g). Is 14 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a939 (base 11) in base 12?\nAnswer: -8435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/(2 + -11 + (-273)\/(-26)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -561337 in descending order.\nAnswer: 0.3, -4, -561337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154 take away 13?\nAnswer: 7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/5 + 372*j\/5 + 17298\/5 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5))**(-26\/5) assuming c is positive.\nAnswer: c**(26\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 5*s**2 + 16*s - 4. Determine u(-4).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - -73.5. Let q = 72 - o. Let c be (0 + -1 + 4)\/(-1). Sort 0.7, c, q in decreasing order.\nAnswer: 0.7, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(252) - sqrt(7)))*-2 - (sqrt(84)*4)\/sqrt(12)) + 5.\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(2 + (1 + sqrt(304) + sqrt(304) + -2 + sqrt(304) - (-3 + -1*sqrt(304))**2)).\nAnswer: -6240 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 185 times -0.1\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -6\/4691, 4.\nAnswer: -6\/4691, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -52, -82, -112, -142, -172?\n\"Answer: -30*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -89. Let i be 2\/(-2) - 3\/(-9)*-87. Let o = k - i. Let v(m) = m**3 + 4*m**2 - 6*m + 1. What is v(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/62040 + 1939\/15510. Suppose 1\/2*z**2 + m*z**3 - 1\/8*z - 1\/2 = 0. Calculate z.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let y(r) = -4077*r - 8. Let v(a) = 5*o(a) - y(a). Let j be v(1). Suppose 5*n - j = -595. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10487, 10486, 10485, 10484, 10483?\n\"Answer: -i + 10488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3028.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 39380\/2171?\nAnswer: 39380\/2171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 174.9. Let s = p - -174.99999934. What is s rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191249 + 4781227\/25. Suppose -5*t = 2*g + 5, 4*g - 4*t - 2 = -2*t. Suppose 0 + g*v + a*v**3 - 2\/25*v**2 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/5 - 8*z**3\/3 - 32*z**2\/5 + 111. Suppose b(p) = 0. What is p?\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1\/2, -0.3, -0.1261, -0.1, -6?\nAnswer: -0.1261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 0)*(-98)\/28. List the prime factors of (-60)\/b*14\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11614, 11612, 11608, 11602?\n\"Answer: -k**2 + k + 11614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 26727 = 5*d - 846, -4*d = -2*s + 55118. What are the prime factors of s?\nAnswer: 43, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1374066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 - 3*h. Let o be u(-2). Let y = -19 - o. Let q(c) = c**3 + 6*c**2 + 2*c - 5. Determine q(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.7. Let d = -1381 - -1377. Which is the nearest to 0? (a) d (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 19*g**2 - g + 20. Let x be u(19). Let y = -0.2 - -0.7. Let n = 6145 + -6144. What is the closest to n in -1, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 + 384*n - 388 = 0. What is n?\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8431156?\nAnswer: 2, 23, 113, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 8 = 11*k. Let o(w) = -w**2 + 5*w - 5. Determine o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 47*i**2 - 6494*i + 19503. Determine r(3).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 796 = -5*k + n, 3*n = -4*k + 652. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*u - 1270 = 0, -4*b = 2*u - 149 - 879. Suppose b = 4*o - 644. Calculate the highest common factor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64.398 - 0.398. Which is the nearest to 0.2? (a) -0.05 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/4*4\/(-7). Let k = p - -1. Does 6 divide 4 + k + (2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 19011366.\nAnswer: 760454.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2560\/7*n**2 + 0 + 4100\/7*n - 1416\/7*n**3 - 128\/7*n**4 + 4\/7*n**5 = 0.\nAnswer: -5, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -61. Let b(a) = a**2 - 6*a - 5. Let x be b(t). Suppose -2*p - 5 = 1. Sort -5, x, p in decreasing order.\nAnswer: x, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 155*t**2 + 6*t - 1004. Let s(x) = x - 3. Let k(v) = n(v) - 6*s(v). Differentiate k(d) with respect to d.\nAnswer: 310*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 48. Determine r(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from zlllq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201*u**2 + 175*u**6 + 34*u**6 + 57*u**6 + 2 + 23*u**6 wrt u.\nAnswer: 34680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5547587 + -8.\nAnswer: -7.4452413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 = 95. Solve 5*b - 1 = y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {a: 2, e: 3, p: 3, m: 1, v: 2, z: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -1\/6 (c) -163\/2 (d) -0.0692\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 - 8*j - 2*j**5 + 6*j**5 + 9*j**5 wrt j?\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 145752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/105 - 4*j**6\/75 + 3*j**5\/25 - 2*j**4\/15 + j**3\/15 + 4*j. Determine h so that q(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 326 + 11. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 5) to base 13.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 + -292. Suppose -w = 221*o - 223*o. Is o greater than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 17. Calculate the lowest common multiple of 6 and j(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/72*-14)\/((-62)\/(-279))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) - (-78)\/126?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q - q)*(29 + 57 + 13) - q**2 + 6 - 1 - 3 - q.\nAnswer: -100*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 233 - 450 + s + 218. Calculate q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/3 + 77*h**2\/3 + 76*h\/3 = 0.\nAnswer: -76, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -5d?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -647*m + 9*m**3 - m**3 + 5*m**2 + 3*m**3 + 6*m**2 - 12*m**2 wrt m?\nAnswer: 66*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) - (sqrt(675) + sqrt(675)*1 + sqrt(675)))*1 - (sqrt(675) + -5*sqrt(675)*-2))\/((sqrt(9) + sqrt(45)\/sqrt(5))*2 + (4*sqrt(54))\/sqrt(6)).\nAnswer: -65*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2 - 5*i**2 - 3*i**2 + i**2 - 6*i**6 wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5208 divided by -2604.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*l**2 + 77*l - 469*l**2 - 156*l + 79*l.\nAnswer: -318*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1680*m - 1669*m + 3336*m)*(0 + 3 - 2)*(-m + 0*m + 2*m).\nAnswer: -13*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.052786965698 and -1.\nAnswer: -0.947213034302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Collect the terms in -v**3 - 5*v**3 - 4*v**3 + 5*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-560)*10)\/((50\/(-10))\/((-8)\/14)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2 - -2)\/((-4)\/(-8)). Let x be (-4)\/d*(10\/(-15) - -1). What is the nearest to -1\/2 in 5, x, 9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3 - 9*b**2 + 27*b + 3. Factor m(v).\nAnswer: 3*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5986*k + 225 = 6001*k. Let i(r) be the third derivative of 7*r**4\/24 - r**2. Does 15 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -5\/3*z**4 + 2\/15*z**6 + 4\/3*z**3 + 0*z**2 + 0 + 3\/5*z**5 + 2*z - 2\/21*z**7. Find f, given that w(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 3.1. Which is the smallest value? (a) -7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.2. Which is the smallest value? (a) 3 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*f - 30 = 2*f, 2*f = -5*n + 75. Let j be (-6)\/n - (-114)\/10. Let b be 9\/6 - (-717)\/6. What is the highest common factor of j and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 599 + -577. Calculate the greatest common divisor of m and 1936.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1632 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-71628)\/(-5715)*((-3)\/10)\/(8\/(-10)) and 81\/454.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 2073, 6557, 15187, 29349?\nAnswer: 50429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, c: 2, d: 6, y: 3, z: 1, b: 2}. What is prob of sequence yzy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 375 + -373. Suppose 2*u - 5*a - 37 = 0, 28 = 3*u - p*a - 0*a. Let q(m) = m**3 - 6*m**2 - m + 12. Give q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -1247\nAnswer: 37.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -1, -287222, 1?\nAnswer: -287222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 13 + 17)*(0*g + 0*g + g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 147061.4661 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) 3\/5 (c) -0.07 (d) -3\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 15296?\nAnswer: 15296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 15*o + 1 + 23*o**4 + 17*o)*(-2*o + 5 - 5).\nAnswer: -46*o**5 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0006 and 3.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 29. Let v = g + 86. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001375435 rounded to six dps?\nAnswer: -0.001375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 15133465.\nAnswer: 34\/15133465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i + 11. Let u be n(10). Round u to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**2 - 5*b**2 + 36*b**2 + (3*b + 4*b - 6*b)*(-2*b + 0*b + 0*b) + 7*b**2 + 3*b - 13*b + 11*b.\nAnswer: 52*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 229200 divided by -24?\nAnswer: -9550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172145.48 and -0.3.\nAnswer: -51643.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -252*b**3 + 8*b**2 + 4*b - 40. Let a(n) = 126*n**3 - 5*n**2 - 3*n + 20. Let z(y) = -5*a(y) - 3*h(y). What is the second derivative of z(l) wrt l?\nAnswer: 756*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-90))\/(4\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 3*n**2)*(54*n - 85*n - 180*n).\nAnswer: -211*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 19, -5, 1 in decreasing order.\nAnswer: 19, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 1, y: 1, e: 4, l: 2, r: 3}. Give prob of sequence reyk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -530.95, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 81. Let o be i(15). Suppose -28100 = -o*s - 19*s. List the prime factors of s.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**2 - 1. Let y(c) = 22*c**2 - 13*c + 3*c**2 + 88*c - 75*c. Calculate x(y(r)).\nAnswer: -4375*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -36. Let d be 3 + 7 + -5 - z. Solve -260*b**3 - 20*b**2 + 5*b**5 - 23*b**4 - 7*b**4 + 305*b**d = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10048 divided by -3.\nAnswer: -10048\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -3. Let i = r - -6.8. Let j = 1.3 - i. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = -4*t + 38*w + 521, 0 = 2*t + 2*w - 256. Calculate the highest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176)*-1))**2*-1 - (0 + -1*sqrt(176)).\nAnswer: 8*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c2500 (base 13) to base 9.\nAnswer: -11382703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31722 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6842 - -14385. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 7. Let j(y) = 6*y**3 - 3*y**2 - 3*y + 1. Let g(v) = 5*v**3 - 4*v**2 - 4*v. Let n(q) = -5*g(q) + 4*j(q). Let f be n(9). Is 4 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -234424.98.\nAnswer: 703274.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**7\/70 - 23*r**6\/20 - 163*r**5\/20 + 105*r**4\/4 - 7206*r**2. What is i in l(i) = 0?\nAnswer: -42, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 0*h + 2\/3*h**3 + 16 - 2\/3*h**2 - 1\/6*h**4. Factor x(n).\nAnswer: -2*n*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380688 and 936?\nAnswer: 14846832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1066 and 13.\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2370359499?\nAnswer: 3, 790119833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 13 = -2*m - 3*t, -4*t + 8 = 0. Let f = 7 - m. Suppose -f*o - 2*h = -65, 6*o = o - 3*h + 110. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40635*0.3.\nAnswer: 12190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-47)\/(517\/(-2178))*(-1)\/(-2). What is the highest common divisor of z and 9405?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 8, f: 4}. What is prob of sequence xs?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131108671?\nAnswer: 23, 71, 80287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - 0) + (-41 - -20 - -10) + -9?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-54)*(-2 - (-41)\/22). What is the smallest value in h, -1, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -149?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 10. Let i(x) = 2*x**3 - 5*x**2 + 4*x. Is i(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/327 and -76\/15?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)\/(14\/2). Let w(r) = r**2 - 4*r + 2. Let j be w(4). What is the closest to j in -5, l, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.94 + 4.940103. Round d to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 - 57168*q\/11 - 197752.\nAnswer: 2*(q - 28622)*(q + 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -59*j**2. Let m(g) = -2*g**2 - 4*g. Determine m(f(s)).\nAnswer: -6962*s**4 + 236*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 + 396*x**3 + 547 + 942*x**3 + 260 wrt x?\nAnswer: 4014*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (4 - (0 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*r. Suppose 0 = -3*s + f + 3*f - 1, -3*s = r*f - 5. What is the second derivative of 9*q**3 + 2*q - 6*q**3 + 1 - s wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 6, 2 in descending order.\nAnswer: 6, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-126) - 13\/(-3). Solve -5*h - g*q + 25 = 0, -6*h = -5*h - 5*q + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300223 (base 6) in base 7?\nAnswer: 125160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 - (14 + -20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a**2 + 21*a - 19. Calculate m(-6).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*y + 4*w - 147, -4*y - 128 = 2*w. Let r = y - -65. Suppose t + 3*c + 24 = 4*t, -4*c = -5*t + r. Solve t*j - d + 15 = 0, j + 1 = -0*j - d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 199*u**3\/3 + 3866*u - 441. Differentiate h(f) with respect to f.\nAnswer: 398*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 178*l - 309. Calculate the least common multiple of g(2) and 2.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2193 + 2193 = 5*u + 4376, -2*u + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113443 (base 5) in base 2?\nAnswer: -1000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10333607 (base 9) to base 11\nAnswer: 28a3457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:18 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13585361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + 1*sqrt(208) + 0 + (sqrt(325) + 0)*-1))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3\/2 - 3*c**2\/4 - 3*c + 1. Factor q(o).\nAnswer: 3*(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18316475 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r**2 + 16*r - 6*r**4 + 3*r**4 + 31*r**2 - 11*r**2 - 2*r**3 - 2 + 4*r**4 to x + a*r**2 + j*r**3 + i*r**4 + k*r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let r(d) = -194*d - 192*d + 14 + 388*d. What is r(y(n))?\nAnswer: -2*n + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 + (2 - -7). Let m = 13 - f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8663 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/7207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23123 is divided by 236.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -12, o + 1 = 6*o - k. Let t(x) = x - 6*x**2 + 4*x**2 - o + x**2. What is t(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 3. Let s be a(3). Suppose -o = -y - 4*y + 3, -5*y = -5. Let j be (495\/18)\/(o\/12). What is the greatest common factor of j and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 0*n**4 + 17*n**3 + 5*n**4 - 2 - 20*n**3 - 4*n**4 to v + l*n**2 + f*n**4 + j*n**3 + p*n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46465974 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0 + 1\/3*x**3 + 3*x - 1\/2*x**2. Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f**2 + 265*f - 88. Determine x(-22).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 122\/2036311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527427287.\nAnswer: 3, 487, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let n(y) = 2*y**3 - 16*y**2 - 15*y - 21. Let o be n(9). Sort 5, c, o.\nAnswer: c, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*3\/2. Let d(r) = 5*r**3 - r**2 + 1. Let x be d(n). Let a = x - -62. Solve 2*t - j = -3*t - a, -3*t - 5*j = -11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107832211*i**3*j - 14518*i**2*j + 3462*i*j wrt i.\nAnswer: -646993266*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*z - 57*z + 25. Solve -4*q + q + 3 = 3*f, -z*f = -4*q + 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4710 + 5437. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2158.22 - -2158. Which is the biggest value? (a) -3\/8 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 68*f = -36. Let u = -6 + 11. Suppose -u*m + 23 = f. What is the smallest common multiple of m and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 963 and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -19. What is the remainder when 11 - 3*-2*x\/30 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjdjjjgdjjjdjgjj. What is prob of picking 2 d and 2 j?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**3 - 2*q**2 - 2*q - 1. Let x be h(-1). Let z = -10 + x. List the prime factors of z + (17 - (-2)\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/26 and 89\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471291773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4353917 is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 = -2*w + 3, 2*w = 5*c + 48. Suppose 4*b - 114 = w. Suppose 22 = 2*p + 5*j + 6, j = 0. What is the highest common divisor of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) + (-57)\/(-9). Let a(k) = k**2 - 15*k + 14. Let s be a(t). Let b = 84 + s. What is the highest common factor of b and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26671708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/53)\/(v**1*v*v)*v*v**(-1\/14)*v*v*v**(-1\/22)*v assuming v is positive.\nAnswer: v**(3758\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-45)*(-2)\/2. Let q(m) be the first derivative of -3 + 2\/15*m**3 - b*m**2 - 4\/5*m. Find l, given that q(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -11*o + 24. Let h be (3\/(-4))\/((-2)\/o). Solve -2*x = -h*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 43*y**2 - 621*y + 2035. What is w(-55)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 17942.4\nAnswer: 8971.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + -5 + sqrt(637) + 3 + sqrt(637) + ((2*sqrt(637) + sqrt(637) + sqrt(637))*-6 - sqrt(637)) + -2 + -3)**2.\nAnswer: 2898*sqrt(13) + 337054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*j - 141532 = -1412*j - 8985 + 82107 for j.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96396.24ug to tonnes.\nAnswer: 0.00000009639624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (12 - 5) - 2 - (26 + -17 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*l + 410 = 0, -336*m = -550*m + 355*m + 2*l - 122 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176 and 102?\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(44) - (sqrt(165)\/sqrt(3))\/sqrt(5)) + 1*1*sqrt(11) + sqrt(99)*6.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, e: 4, v: 5}. What is prob of picking 2 v?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 12:13 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-7 - -4) + 56. Suppose -255 = -3*s + x. Suppose 3*k - 37 = s. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:58 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/21)\/1*553\/(-474). Sort d, -2, -1 in descending order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*j**5*n + 2*j**4*n - j**2 - 4*j*n + 14*j + 4*n wrt j?\nAnswer: 10620*j**2*n + 48*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 + -1)*-80. What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 0*w)*(3 + 1 - 3).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Which is smaller: m or 2\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -416850, -416847, -416844, -416841?\n\"Answer: 3*u - 416853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -a + 4, 3*w = a - w + 11. Let i(m) = 13*m**2 + 2*m - 1. Is 11 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeueuuuuuuuueueuuu. Give prob of picking 4 e.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3166 or -103\/371?\nAnswer: -3166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*f**2*u**2 + 9*d*f*u**2 + d*f - 14063*f**2*u**2 + 12*f**2 - 9*f*u - 12*f + 19*u**2 wrt f?\nAnswer: 6*d*u**2 - 28126*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 113\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h*j*w**3 - h*j*w**2 + 2*h*t*w**3 + j*t*w**3 - 24*j*t*w wrt h?\nAnswer: 4*j*w**3 - j*w**2 + 2*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r + 24. Calculate the remainder when i(8) is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*d**2*j**2 - 994*d**2*j + 474977*d*j**2 - 9103*j wrt j?\nAnswer: -140*d**2 + 949954*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 23735 and 23879 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8) + -5 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.5, -1.87, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -118773192?\nAnswer: 118773192.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -159, -157, -153, -147, -139, -129, -117?\n\"Answer: j**2 - j - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.2 and 0.487666?\nAnswer: 20.712334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o - 4. Give u(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1398*m**2*o**5 + 11*m**2*o**2 - 10*m**2*o - o**6 - 2*o**2 - 2 wrt o?\nAnswer: -83880*m**2*o**2 - 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 3, -11, -25, -39?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13770*w + 18*w**2 - 13770*w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224091 and 2142.\nAnswer: 7619094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {y: 1, m: 2, t: 1, b: 1, j: 2, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (26 - 63))*((-2)\/(-10) - 0)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*g + l, 8*g - 4*l = 3*g - 22. Let m be 2\/3 - 74\/g. Suppose 9*q = m*q - 8. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 20*h - 470. Calculate f(22).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*l - 14 = -269*l + 3*q, 2 = 5*l + 2*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000400484 rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 7, 6\/13, 6, 0.2, -5, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3.6, -48.3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66165 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9109*u**4 - 4*u**2 + u**2 + 9099*u**4 + (u**3 - 2*u**3 + 0*u**3)*(-2*u + 2 - 2) + 4*u**4 + u**4 - 2*u**4.\nAnswer: -5*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3}. What is prob of picking 3 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-425)\/(-510)*(-1 + 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 121?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-3)\/(-21)*-3. What is the third derivative of 6*g**d + 13*g**2 + 14*g**3 - 7*g**3 - 36*g**2 wrt g?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1028 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/5, 1, 0.3, 2\/17 in increasing order.\nAnswer: 2\/17, 0.3, 1, 56\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 3*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 19*c**2 + 468*c - 4602. What is o(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 3 (c) -343 (d) -0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 7)*(-1 + 2 - 3)*(0 + 0 - 2*f**2) - f**2 + 0*f**2 + 3*f**2.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123 + 8313 - 1756*o**2 + 1758*o**2 - 4190.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 10*z**2 + 4*z + 13. Let g be j(-10). Let q = 85\/3 + g. Which is the nearest to 1? (a) 1\/2 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7748 is divided by 329.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 375, 757, 1139?\n\"Answer: 382*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 - 6*i**2 - 6*i - 2. Let o(q) = -5*q**3 + 5*q**2 + 5*q + 4. Let g(v) = -v**3 + v**2 + v + 1. Let y(r) = -4*g(r) + o(r). Give c(n) + 6*y(n).\nAnswer: 3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + 4*(0 + (sqrt(325) - (sqrt(325)*5 + sqrt(325) + sqrt(325))))**2*1).\nAnswer: -234015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23336 divided by -3.\nAnswer: -23336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 8. Let u = f - -14. Let r = 5.99 - u. What is the nearest to r in 2, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17358 + -1.4.\nAnswer: -17359.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 5. Let j be h(0). Suppose j = -v - 7. Let w = -7 - v. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 48676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 22*m**2. Let z(f) = -21*f**2. What is -6*p(k) - 7*z(k)?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6726, -4, 37, -5\/4, 2\/3 in ascending order.\nAnswer: -4, -5\/4, -0.6726, 2\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/254, 0, 2, 0.1, 5, -3 in descending order.\nAnswer: 5, 2, 0.1, 0, -1\/254, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/7 (b) 5 (c) 1.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 15 + (-3 + 0 + 1)*(6 - 1 - 3))*(0*l**3 + 0*l**3 + l**3).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 25 = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (3024\/105)\/((-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 13. Let q be b(19). Let k = 40 - q. Solve 4*a**2 - a - 5*a - 4 + 8*a**3 - k*a**5 + 44*a**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6342592 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 400*z**2 + z - 400*z**2 - 64*z**3 + (-1 - 24 - 1)*(2*z**2 - 2*z**2 - 2*z**3) to w*z**2 + u + a*z + x*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*p - 842*p - 552 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1936 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - -0.1. Let s = -4.95 + w. Which is the second smallest value? (a) -0.5 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 + 4*m**3 - 2*m**3)*(-m + 4*m - m) - 17*m**3 - 8*m**4 + 10*m**4 - m**3 in the form d + i*m**3 + u*m**2 + b*m**4 + p*m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -288*o**3 + o**2 - 2*o + 1. Let m be q(3). Let d = -7674624 + 138003419\/18. Let b = m - d. What is the common denominator of b and -35\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.1 (c) -2\/19 (d) 19 (e) -11 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgifjtf. Give prob of sequence ttfj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -804 + 0?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 11:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g - 370 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*i = -u + 15, 3*i = -5*u + 25. Suppose 0 = 3*y + 5*q + 12, 3*y = -4*q - 2 - 10. Suppose -x + 2 = -0. Put u, x, y in decreasing order.\nAnswer: u, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != 2153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 59. Let c be u(-6). Let s be (c - 1 - -2)\/(21\/56). Let h = s + 4. Calculate the smallest common multiple of 24 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 129\/7. Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 2*w, 30 = -2*w - 0*c - 5*c. Which is smaller: w or 9\/205?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 37 = 2*i + 2*i, -4*g - 20 = 2*i. Let t = -28 - g. List the prime factors of 8\/(-28) - 468\/t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2, -1.2, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.9, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-359 + 3)) + -3. Suppose -j + 36 = 8*v. Let y = -33 - v. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42656342?\nAnswer: 2, 21328171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 0*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945 and 4179.\nAnswer: 188055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p = 3*f - 12*p + 319 + 6, 0 + 3 = -3*p - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.9 (c) -0.2 (d) -73 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236124030 to the nearest integer?\nAnswer: 15366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-4 + 6 - 3). Let y be (2 - -3) + t + 4. Factor -2*u**y + 6*u**5 - 3*u**3 - 7*u**4 + 6*u**4.\nAnswer: 3*u**3*(u - 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -536, -1229, -2206?\nAnswer: -3467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 5. Let c(z) = -z**2 - 3*z + 12*z + 10 - z**3 + 9 - 4. Let d be c(-3). Let a(m) = 11*m + 11. Calculate d*a(y) - 13*k(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 7. Let j be z(3). Is j < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exeeeexe. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 20. Let w be ((-6)\/(-16))\/(n\/(-4)). Let g be 0\/(12\/(-4)) + 4. What is the closest to -1\/5 in -4, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 41*m + 88. Let f(h) = -101*h - 180. Give 2*f(n) + 5*g(n).\nAnswer: 3*n + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((q\/(q**(-4)\/q))\/q)\/q)\/q)\/q)**(-41)\/((q\/(q*q**10)*q)\/(q**(7\/2)\/q)))**38)**(-48) assuming q is positive.\nAnswer: q**128592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114, 471, 1092, 1995, 3198, 4719, 6576, 8787?\n\"Answer: 3*w**3 + 114*w**2 - 6*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0.5, 28, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - z + 1. Suppose -b - 2*b = -3. Let r be k(b). Does 14 divide (r\/(-6))\/((-3)\/(-117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*h = 17, 25 = -5*w - 2*h - 3*h. Suppose -4*n - 11 = 2*r + 3*r, 2*r = n + 6. List the prime factors of (-1230)\/(-90) + n\/w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-25)*t\/(t**43\/t) assuming t is positive.\nAnswer: t**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3373, -2767, -1759, -349, 1463, 3677, 6293?\nAnswer: 9311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-3 + 3 - a)*(-a**2 + a**2 - a**2)*(-3*a**2 + 5*a**2 - a**2 + 4*a**2 - 5*a**2 - a**2 + (4*a - a - a)*(-3*a - a + 3*a)).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3 + 9. Suppose 0 = m*w + 3*w - 80. Let r = 117 - 55. Calculate the remainder when r is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 129, 78, -103, -456, -1023, -1846, -2967?\n\"Answer: -7*u**3 - 2*u**2 + 92*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*6\/240*10\/14*(-84)\/81?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42392, -42263, -42048, -41747, -41360, -40887?\n\"Answer: 43*m**2 - 42435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2. Let g(a) = -9*a + 6*a + 7*a. Calculate g(l(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12249 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: b\"What is the kth term of 421, 386, 329, 238, 101?\n\"Answer: -2*k**3 + k**2 - 24*k + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -232.\nAnswer: -57\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-36) - (-1660)\/240. Solve -4 = -6*r + g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24592267 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -18*n**3 - n**2. Let k be d(-1). Let w = k - 14. Differentiate 1 + 2*y + w*y - 6*y - 2*y with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 - 5*w**4 - 45*w**3 - 55*w**2 - 20*w = 0. What is w?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668261.\nAnswer: 11, 79, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - 3*l**2 + 3*l + 3. Suppose 12 = -7*g + 3*g. Let c(a) = -1 - 4*a**2 - 33*a**3 - 4*a + 36*a**3 + 8*a + 5 + 0*a**3. Calculate g*c(v) + 4*q(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -20. Let m be (-1 - (-34)\/6)*n\/(-2). Let f(p) = -16*p - 24. Is 11 a factor of f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 662*r - 144. Let y(i) = 4*i. What is y(l(k))?\nAnswer: 4*k**2 - 2648*k - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3564267\/4 or 891068?\nAnswer: 891068","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*j + 20348 + 9052. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 2. Let x be w(-1). Suppose 0 = -o - 5*m - 5, o + x*m + 2*m - 1 = 0. Calculate the remainder when 12 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 5*d + 7. Suppose 2*w - 2 = -12. Let g be b(w). Solve -4*a = -g*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13518631?\nAnswer: 7, 1297, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41783.\nAnswer: 7, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/100*(0 - -2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -342, -691, -1032, -1365, -1690, -2007, -2316?\n\"Answer: 4*r**2 - 361*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -62, -153, -280, -443?\n\"Answer: -18*h**2 - h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71\/(-213))\/((-3)\/(-180))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1483*g = -1476*g + 84. Let q(d) = 46*d + 552. Let k be q(g). Factor 0*x + 9\/4*x**3 + 9\/4*x**4 + 3\/4*x**2 + 3\/4*x**5 + k.\nAnswer: 3*x**2*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + h + 14 = 6*y + 3*y, -8*h - 29*h - 557 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24748 take away 445560474.4?\nAnswer: -445535726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444305?\nAnswer: 5, 488861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1 - 608\/(-306). Let f = p + -100\/153. Which is the third smallest value? (a) 3\/2 (b) 2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/1176 - (-8)\/(-84))\/((-18)\/72*-6)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583625734 = -12*v + 1207854266. What is v rounded to the nearest one million?\nAnswer: 149000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*d - 2112 = 128*d. What is the greatest common factor of d and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -441048\/75113 - -182\/31. Let t = -133269\/4846 - q. What is the common denominator of 2\/5 + 21\/(-20) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - t + 1. Let q be j(1). Suppose -8 = -5*d - 4*a, -3*d + a + 24 = -q*a. Let m be 2\/2*1 - -3. Solve 0 + d = -m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, -3, -12562.\nAnswer: -12562, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w - 3. Let l(z) = -93*z - 12. Let s(b) = 2*l(b) - 9*x(b). Suppose -2*u - u + 6 = 0. Is s(u) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*h + 22 = 0, -2*h - 2 + 11 = k. Suppose k + 5 = x. Let v be ((-6)\/4)\/(x\/(-16)). Solve -v*o = -5*w + 23, 0 = 4*w - 9 - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 7)\/((-1)\/(-2)). What is the tens digit of (r - 9\/6)*28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:25 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*t + 910 = 481 - 1311 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.999957 + -26. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-12)*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -354?\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8794745 decades to millennia.\nAnswer: 0.008794745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-15.7.\nAnswer: 0.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(-4*(-1)\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -7*a**3\/3 - 95*a**2\/6 + 79*a\/6 + 5 = 0.\nAnswer: -15\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 625831.699 to the nearest 1000.\nAnswer: 626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let u(l) = -293*l - 62. Let f(t) = -28*t - 6. Let k(z) = -21*f(z) + 2*u(z). What is -3*k(s) + 7*w(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 70. What is the remainder when o(24) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -284*s - 9. Let k(v) = -72*v - 2. Determine 26*k(n) - 6*u(n).\nAnswer: -168*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/3 - 32*y\/3 - 31\/3 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6039721 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -18. Let x = -13 - q. Is (x\/(-5))\/(2\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = t - 1657, 2341 = 3*t + 3*r - 2582. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 26*y + 15. Is z(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 178 = 166. Let s(h) = h**3 - 7*h**2 + 6*h. Let g be s(6). Let d be 4 + (g\/4)\/k. Calculate the greatest common divisor of 44 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(-82)*2)\/(4\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g + 3*g)*(4 - 4 - g) - 292*g**2 + 404*g**2 - 302*g**2 + g in the form s + d*g**2 + a*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, 4, -2, 0, -10 in descending order.\nAnswer: 4, 0, -2, -6, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 1. Let u be h(1). Is (126 + 2 + -1)*u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 295, 658, 1167, 1822, 2623, 3570?\nAnswer: 4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2100 and 1076250.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*y*y**(4\/11)*y)\/y)))\/(y*y*y*y**(-3)) assuming y is positive.\nAnswer: y**(26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 3 - (30 - 37 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36811673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is e9 (base 15) in base 12?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 68 = 0. Suppose 4*h = -5*c - 566, -c - 2*h + 44 - 156 = 0. Let u = r - c. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2674 divide 173875955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225108 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 1679800*b**2 + 13438592*b - 26877312.\nAnswer: -4*(b - 4)**2*(b + 419958)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113581544 and 2452?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0*r + r + 3)*(140 - 12 - 77).\nAnswer: 51*r - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 242404*f + 3635610 = 0 for f.\nAnswer: -121187, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35.5? (a) -3.7 (b) 1888 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75368, -150727, -226082, -301433, -376780, -452123?\n\"Answer: 2*v**2 - 75365*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 314.04 and 4.\nAnswer: 318.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1837*z + 1836*z = -4*p + 16, -16*p + 164 = 16*p + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6*o - 45 = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3, 13 = -h - 4*j + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 7 - 5 - 2 + f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23919460?\nAnswer: 2, 5, 313, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3341018*q*u**2 + q - 72*u**2 - u + 1273 with respect to q.\nAnswer: 3341018*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043971 rounded to 5 dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3\/4, -68?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24939 - 603 = -1639*m - 78921 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 4 + -2 - 6. Suppose -2 = -2*x + 3*x. Let h = x - i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -2. Suppose -4*i + m = 10. Suppose -f - 5*s + 92 = i, 2*f - s = 187. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 1748.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**2\/2 - 3. Suppose -4*s + 21 = -31. Let r(a) = 19*a + 3 - s*a - 3. Give r(i(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(280)\/((sqrt(10) - (sqrt(50)\/sqrt(5) + sqrt(10)))*-4) + sqrt(28)*2*-2 + (sqrt(112)\/sqrt(4) + sqrt(28))*-2.\nAnswer: -31*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:24 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:10 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 499879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*s - 25 = -0*s, -5*g = -5*s - 35. Suppose -2*v = -0*v + 3*n - 1, -g*n = -4*v - 9. Put v, 2, 1 in ascending order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2. Let d(y) = 5*y**2 - 6*y + 2. Let l(j) = d(j) + 2*t(j). Let w(f) be the first derivative of l(f). Let n(b) = 5*b - 2. What is 17*n(s) - 6*w(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80793*m - 242386*m + 80796*m - 1 + 1 + 80793*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p. Let t(h) = -3*h**3 + 3*h**2 - 4*h + 2. Determine -4*d(u) - t(u).\nAnswer: -u**3 - 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*r. Solve -f = 5*l + 5, r*l + 3*f - 2 = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a**2 - 12 + 2\/9*a**3 - 6*a = 0. Calculate a.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1524)\/(-60) + -23 + (-6)\/(-10))*-9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 3, l: 2, u: 1, n: 1}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/2520 + l**3\/6 + l**2. Let g(d) be the first derivative of k(d). Let g(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (7 - (-5 - 4 - -3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + 0*u**2)*(-11*u**3 + 8 - 8) + 2*u**5 + u**3 - u**3 - 25*u**5 + 47*u**5 + 73*u**5 + 2*u**2.\nAnswer: 119*u**5 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 24 = 5*a, 3*v + 31*a - 26 = 36*a. Solve 0 = -5*x - v*m + 9, -5*m + 4 = 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y + 322 = 65*y. Let q = -222 + 514. What is the smallest common multiple of q and y?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**3 - n**2 - 2*n - 1. Let u(r) = -4*r**3 - r**2 - 2*r - 1. Calculate 3*c(k) - 4*u(k).\nAnswer: k**3 + k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.1557 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -141*i + 46. What is the smallest common multiple of 24 and c(-2)?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23203142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6779 + 554?\nAnswer: 7333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 1 (b) 31 (c) 3 (d) -2\/55 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from nnknk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976687841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:16 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/7, 6, -11, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55093409709 plus 2.4?\nAnswer: 55093409711.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -209.306 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38555 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(7) - (sqrt(35)\/sqrt(5) + -2)) + sqrt(28) + -4)*2)**2*6 + 5.\nAnswer: -192*sqrt(7) + 776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 5*k - 12*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20264911*c**5 + c**3 + 173*c**2 - 139804*c + 3?\nAnswer: 1215894660*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9128 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/3*r**3 + 0*r**2 + 0 - 2*r - 1\/6*r**4. Let f(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2 + 5*y**2 + 6*y**2. Let c(m) be the first derivative of m**2 + 2. Determine c(z(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 37\/5 (b) -1.4 (c) 1 (d) -2 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*a - 10. Let w(i) = -5*i - 68. Let s be (-3)\/(-12) - (-171)\/(-12). Let y be w(s). Solve -3*l + 5*o - 28 = -y*l, 4*l = -5*o + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*h - 2 - 2, -h - 6 = -5*g. Let u = -2 + g. Let p = 5 + u. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5 + 10. What is the nearest to 3 in -1\/4, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:43 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Let f = -0.1 - -0.6. Let n = 8\/17 - 70\/221. Which is the nearest to -0.2? (a) n (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3602 - 4080*h - 3975*h**2 + 2197 + 3980*h**2 + 2341 = 0 for h.\nAnswer: 2, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:27 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -407 and -378 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 29272*f - 192. Let h be x(-14). Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -5*a + 1433. Let h be ((-16)\/40 - 92\/20) + 5. Suppose h = -0*m + m - a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18536 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/5)\/y**0*((y**5\/y)\/y)**4)**(8\/11) assuming y is positive.\nAnswer: y**(504\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 292 (b) 2 (c) -1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.1 (b) 0.2 (c) -0.3 (d) -8 (e) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 840*o**3 + 5882*o**2 - 42*o - 385. Calculate p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5*l**8\/42 - 22*l**7\/105 + 4*l**6\/15 + 3*l**5\/5 + 129*l**2 - 1. Factor w(u).\nAnswer: -4*u**2*(u + 1)**2*(10*u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 1820830. Let h(g) = 17*g**2. Give f(h(x)).\nAnswer: -34*x**2 + 1820830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 2*d**2 - d - 8 + d**2. Let y be r(0). What is the units digit of y\/6*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/(-1)*(-1)\/(-12) and ((-3)\/12)\/((-96)\/(-8384)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 1 r when three letters picked without replacement from rreeerrccresrerccc.\nAnswer: 175\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704)*-1*-1 - sqrt(704))*-4)**2*1 + 0)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141927703 a multiple of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 + 144 - 81*h - 493 + 148.\nAnswer: -81*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8 + x**2 + 4 - 3 - 8*x. Let h be j(7). Suppose -50 = -5*w - h*a, -w + 4*a + 10 = 3*a. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/2, -1.2, 43\/3, 4 in ascending order.\nAnswer: -1.2, -1\/2, 2\/13, 4, 43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 11. Let h be n(-5). Suppose 2*c - 6*c = h. Let j(p) = -20*p - 3. Let o(f) be the first derivative of -7*f**2\/2 - f + 49. Give c*j(i) + 11*o(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*v - 2936 = -33*v - 85*v. Solve 0 = 8*o - 4*o - v, 15*h + 38 = 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253284937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20818 divided by -10409?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -70032608 divided by 4377038?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by 6.\nAnswer: 283\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -3*w. Suppose -3*l = w*b - 4, l = 2*l. What is the first derivative of -3 + b + d + d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-2 + -2) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*c + 7, 0*c + 5*q = -2*c + 33. Let l be c + 15\/(-20) - 3. Put -0.07, l, -0.1 in decreasing order.\nAnswer: l, -0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)*(4 + (-66)\/12). Which is the nearest to -13? (a) 0 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1046 = 3*g, -2*c = 2*g - 1361 - 731. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1818)\/(-27))\/((-22)\/18) + (-2)\/(-22).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)*2\/1. Suppose 0 = 2*i + j. Let p = 0.2 - -0.8. Is p bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*f + 26470 - 7435 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10013 (base 4) to base 8.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 + 5*y - 5. Suppose -4*k + 127 = 3*s, 4*k + 0*k - 3*s = 97. Suppose 12*x - k = 44. Does 18 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 37, -12 in decreasing order.\nAnswer: 37, 10, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*s. Suppose -s*a = 2*a - 60. What is the least common multiple of a and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39715060 to the nearest 10000.\nAnswer: 39720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(4 + 153\/(-34) + 1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -6.5?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-42))\/(10\/(-40))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 2, r: 2, a: 2, b: 1, o: 7}. What is prob of sequence wwo?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 80 = 4*c - 16, -c = 3*c - 7*c + 15 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 - 3.02. Round d to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2521, -5042, -7563, -10084, -12605?\n\"Answer: -2521*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-7))\/((-13215)\/(-357) + -37).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h + 96 = 335*h - 286*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*f**2 + 39*f**3 + 562 + 116 - f**3 + 3479 wrt f.\nAnswer: 114*f**2 - 154*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487628 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20102 - 20102 + 1294*n**3.\nAnswer: 1294*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 41*m - 29. Give t(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*z + 7249 - 2557 = -234*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/96 - -49\/96. Sort -1, -5, -2\/9, g.\nAnswer: -5, -1, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/13 - 24566*v**3\/13 + 7737660*v**2 - 137338290184*v\/13 + 137237725168\/13.\nAnswer: 2*(v - 4094)**3*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547632?\nAnswer: 2, 284227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) -2 (c) -2\/205 (d) -51 (e) -7 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Let r = t - 7. Let q = -1\/40 + 5\/8. What is the nearest to 2\/7 in 3, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952991 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 3 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/5 - 1027*w**4\/5 + 262138*w**3\/5 + 792586*w**2\/5 + 158929*w + 53045 = 0?\nAnswer: -1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 1437*r + 11287. Calculate p(471).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - 0) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -608*w + 74949. Give l(123).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138240 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -9. Let d(u) = -22*u + 8*u + 9*u - 13*u. Determine d(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60896 by 1.\nAnswer: -60896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3844.616 to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose b + 8 = 2*a. What is the second derivative of -j - j**4 - 3*j**a - 2*j + 3*j**4 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*u + 4*y - 7, -2*y = u + 2. Let v(t) = -2*t - 6. Let p be v(u). Factor 94*z**p - 70*z + 77 - 24*z**3 - 142 + 77.\nAnswer: -2*(z - 3)*(3*z - 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 8 + 7. Suppose 0 = n*v + v - 324. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*p**3 + 244*p**2 + 4*p - 8.\nAnswer: 4*(p + 2)*(5*p + 1)*(6*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(3*w + 2*w - 3*w) - 8 - 6*w + 8 - 27 - 12*w + 27 in the form h*w + k and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**4 + 0*p**4 + 3*p**4)*(-2 - 4 + 4 + (2 - 1 + 0)*(-2 - 1 + 1) + 2 + 1 + 2) to o + y*p + k*p**3 + b*p**2 + d*p**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.22911, 1\/5, 0.5, -13, 0?\nAnswer: -0.22911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - 41*v**2 - 13*v**4 - 6*v - 1 + 10*v + 2*v**3 + 15*v**4 to the form d*v**3 + n*v + i + h*v**4 + b*v**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*g**2*r**4 + 10*g**2 + 4*g*r**2 + g - r**4 + 149914*r**3 - 1161730*r**2 wrt r?\nAnswer: 3168*g**2*r - 24*r + 899484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - o**3 - 2*o**4 - 4*o**3 + 2 - o**4 + 2*o**4 to the form d*o**3 + x*o**4 + u*o**2 + l*o + n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.125466 + -0.040434. Let g = 0.0441 - t. Let i = g - 0.21. Which is the second smallest value? (a) i (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851121478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 13*i**2 - 11*i - 14. Give n(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.29026 + -0.04974. Let q = w + 51. Round q to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 7*i + 1. Let m(l) = -l + 1. What is -k(a) + 3*m(a)?\nAnswer: -2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 942391.4 meters?\nAnswer: 942391400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.8 (c) 174 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75a58 - -3?\nAnswer: -75a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 743 and -166752148855.\nAnswer: -166752148112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -67.17. Round a to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from iiuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {k: 5, z: 4, v: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 1. Let w be z(1). Put 3\/4, -0.2, w in increasing order.\nAnswer: -0.2, 3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17680 or -75\/106?\nAnswer: 17680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 638 = 3*w, 0 = -4*w + 2*y - 6*y + 848. Round w to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a**2. Let g(q) be the first derivative of 20*q**3\/3 + 518. What is g(u(n))?\nAnswer: 13520*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5474508 divided by 741.\nAnswer: -7388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 579841.2 tonnes?\nAnswer: 579841200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51148 is divided by 1348?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*u = 61*u + 29634. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14416*n**5 + 529*n**2 + 1 wrt n?\nAnswer: -864960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7) + 166 + 235 + -432?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 77672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -5?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13124.68 and 169.\nAnswer: -2218070.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -0.32. Let u = -8.44 - -4.27. Let r = u - -0.17. Which is the second biggest value? (a) v (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvavbqqmvvbvqmvbmvbv. Give prob of sequence bbq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 24*b**2 - 902*b + 10779. Give a(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20793 and 171?\nAnswer: 1185201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 520. Is o(-26) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*o + 425*o = 2*z - 34, 3*z + 4*o + 64 = 8*o for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -67. Let s = 7 + g. Solve o - s = 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1236)\/(-6) + (-3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.2 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 123?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 168418638?\nAnswer: -168418638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 51*h**2 - 155 + 93 - 3*h**3 - 78*h**2.\nAnswer: -3*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72 (b) -668.8 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*w - 4 + 32 = 0, a - 2*w = 2. Calculate the remainder when (71 - 3) + 7 + -6 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4*x + 4. Let q be o(5). Suppose -29 + q = -5*i. Suppose w - 29 = -4*k - 0*w, i*w + 12 = 0. Calculate the remainder when 15 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.4 - 11.85. Let o = b - 0.05. Which is bigger: o or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27482 divided by 13.\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1699704144 to the nearest integer?\nAnswer: 41227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:41 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -8, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 2*j**3 + 2*j**3)*(145694 - 71860 - 71119).\nAnswer: 2715*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20494 - 20497. Let y be 2\/(-5) + (-21)\/(-15). Put y, 0, -4, a in increasing order.\nAnswer: -4, a, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:00 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3087) + 1)*-5)**2.\nAnswer: 37800*sqrt(7) + 2779200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 4*d**2 + 2*d - 1. Let q be l(4). Suppose -q*g + 3*g + 16 = 0. Suppose 5*c = 4*x + 54, -2*c - c = -g*x - 26. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 9*y + 851. What is the highest common factor of 148 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1358865*t - 89 + 89 + 1358865*t - 14*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54087 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 5*n + 84 - 44 + 6*n + 4*n**4 to h*n + j + w*n**3 + a*n**2 + b*n**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 325866203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:46 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from rrlfrfrfbrrrflrraffr.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2. Let a be z(-1). Suppose a*j - 5*u + 23 = -j, -15 = -3*u. Let s = -7 - -17. Solve 0*y - s = j*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 6*w**3 + 2*w**3)*(-3 + 0 + 5) - 4*w**3 - 8*w**2 + 8*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 6 = 0. Let f(a) = a - 6. Let x be f(r). Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t**3 - 1)*(-4*t**2 + 16*t**2 + 33*t**2).\nAnswer: -45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -41340768\nAnswer: 41340771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*16\/6. Let w(q) = 1 + h + 11 - 20 - 2*q. Suppose -7 = -3*z - 19. Give w(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2459308 by -1229654.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*2*154\/(-28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 4) in base 12?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1212 + -76358\/63. Let y(t) = -t**3 - 2*t**2 - 2*t - 5. Let h be y(-2). Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*n = 674*n - 1773 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.8 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*a + 14 = -4*k, 5*k - 2*a - 18 = 0. Is k equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 - -72) + (-35 - 12).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1}. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-160))\/((-145)\/(-174)*54\/30)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-16)\/(-45)))\/((-70776)\/(-314560)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40430077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4914 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 179 = -2*c + 51, -6 = -3*c. Suppose 0 = 56*l - 101*l - 8730. Let p = x - l. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*l = -8*f + 1177*l - 62, -23 = 5*f + l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4171 divided by -3.\nAnswer: 4171\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 67. Calculate the smallest common multiple of 4*((-53)\/(-36) - (-6)\/y) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 132*h + 267. Calculate g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 828, 1\/18, -1.8, -0.5?\nAnswer: 828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 3459055*f - 608948560.\nAnswer: 5*(f - 176)*(f + 691987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/4))**20\/(p**(2\/7)\/p)**(-2))**(-11\/4) assuming p is positive.\nAnswer: p**(1265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c\/(c\/c**(2\/11))*c)\/c)\/c)**(36\/11)*(c**(2\/7)\/c*c)\/((c\/(c\/((c*(c\/(c\/(c\/c**(1\/2))))\/c)\/c))*c)\/c))**(-12\/7) assuming c is positive.\nAnswer: c**(-47298\/5929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 14326?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8*f + 30. Let s be 7 - f\/((-15)\/(-6)). Suppose s*j = 2*j + 273. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70\/3 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/90)\/(-30*8\/144)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. Suppose 4*a - 6 = f. What is the units digit of 1 - (-6 + (a - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 2. Let b = -27 + 36. Suppose u - z = -2*u + b, 4*u = -2*z + 2. Determine x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1555 by -412.\nAnswer: 1555\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 51*h**2 - 10480*h - 16. Give n(-80).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.1 - -6. Suppose -2*q = -5*u + 243, -2*q + 6*q + 143 = 3*u. Let v be (-2)\/12 - (u\/18)\/(-7). What is the closest to -2 in c, v, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a - 9*a + 6 - 6*a**2 + 7*a**2. Let d(b) be the first derivative of b**3\/3 - 2*b**2 + 7*b - 11. Give 4*c(o) - 3*d(o).\nAnswer: o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 89. Let z be (-5)\/(-25) - v*(-14)\/(-15). Let x be (z\/6)\/(3\/18). Sort -4, -0.4, x, -1 in increasing order.\nAnswer: -4, -1, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30892.94 times 3?\nAnswer: -92678.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by 101.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 1, e: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033 + -2022?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**3 + 50*l**2 + 104*l + 101. Calculate y(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = 0, 0 = 18*c - 15*c + k + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -794*t**3 - 23*t**2 - 83533*t wrt t?\nAnswer: -4764*t - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 216.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2 - sqrt(66))*-4 + sqrt(66))\/(sqrt(72)\/sqrt(108)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 16049*y**3.\nAnswer: 16049*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 3 = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8001 + -56170\/7. Let f = -625\/56 - l. What is the common denominator of 59\/3 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 + 14 - -11 - 9) + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 370, 372, 376, 382, 390, 400?\n\"Answer: k**2 - k + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from tttitmttz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 90*f - 193*f + 285*f.\nAnswer: 2*f + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.983 - -0.017. Sort -0.3, 0.03, d, 0.2 in decreasing order.\nAnswer: d, 0.2, 0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = -4*k + 532. Suppose -52*h = -56*h + k. Is h a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/33)*v**(-3\/7)*v**(-4\/5)\/(v*v**(-2\/15)))**(-35) assuming v is positive.\nAnswer: v**(830\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)\/(f*(f*f**(-31))\/f))\/(f*f**2*f*f**(-36)\/f) assuming f is positive.\nAnswer: f**(566\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8*h + 114191 = -30277. What is the lowest common multiple of 14 and h?\nAnswer: 112364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*k - 5*r, r = 3*k - 3*r + 3. Let q = -1 + k. What are the prime factors of 12*((-8)\/(-6))\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11630758.\nAnswer: 2, 5815379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-3*sqrt(2)))\/(6*sqrt(2)*-1).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v - 3. Suppose -5*z + 25 = 0, -5*z + 31 = a + a. Let f be m(a). Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 + b**3 + 5*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 10*v + 0*v**3 - 13\/42*v**7 + 0*v**2 + 0*v**6 + 0*v**5 + 0 + 1\/12*v**4. Find the third derivative of i(g) wrt g.\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/18*64\/112.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 + 2*o - 11. Let w = -8 + 2. Let u be i(w). Solve -u = -3*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*y**2 - 49*y**2 - 163*y**2 + 612*y**2 + y - 2*y**4 - 104*y**2 - 2 to q*y**4 + b*y + u*y**2 + s + h*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 426*a**5 + a**4 - 29*a**2 - a wrt a.\nAnswer: 25560*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 59*f - 51. Let p be w(27). What is the highest common factor of p and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 479*g**4 - 716735*g**3 + 33756773*g**2 - 9 wrt g?\nAnswer: 11496*g - 4300410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let a(l) = -7*l - 2. Let c(h) = 190*h + 55. Let r(b) = 55*a(b) + 2*c(b). Give r(v(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 49, 60, 71, 82?\n\"Answer: 11*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -168, -165, -162?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -144*p + 5. Let b(t) = -2*t - 1. Determine 6*b(a) + s(a).\nAnswer: -156*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 16 = 4*u, -u - 10 + 2 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -1\/150*q**5 + 2*q**2 + 2\/45*q**3 - 22*q - 1\/900*q**6 + 1\/180*q**4 + 0 + 1\/1575*q**7. Let m(p) = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 28. Let u(z) = 3*z + 29. What is -4*b(j) + 3*u(j)?\nAnswer: j - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242.22 - 242.2. Which is the nearest to 13? (a) 1 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122995943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*9\/(-12)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g + 1. Let x(u) = -u**2 + 6*u - 3. Suppose -4 = 97*a - 93*a. Determine a*x(r) - 3*q(r).\nAnswer: -2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 0 - 3*r + 5*r**2 - 3*r**2 + 2. Let m = -24 - -27. Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -5, 35, 22853.\nAnswer: -5, -3, 1, 5, 35, 22853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2.7, 5, -5?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -74. Calculate the highest common divisor of n and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 13*a**2 - 41*a - 9. Let k be s(-8). What is the second biggest value in 36, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 176\/(-484)*(-1)\/(-4). What is the fourth biggest value in 3, i, -7, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + (184 - 209)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/395161 and -9\/942307.\nAnswer: 12249991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23371 and 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 837?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36))\/((42\/30)\/(-7))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -536241 (base 7) to base 15\nAnswer: -1ca33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 211700 to the nearest one thousand.\nAnswer: 212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 16. Let d(l) = -l - 5. Let f(r) = 11*d(r) + 4*o(r). What is f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985440 and 3232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 2*j**2 + 6*j**2 + (-3 + 3 - 2*j)*(j + j - 4*j) - 17 - 34*j**2 + 17.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5\/5 - 2061*x**4\/5 + 447474*x**3\/5 - 30907278*x**2\/5 - 64988277*x\/5 + 95450139\/5 = 0. What is x?\nAnswer: -3, 1, 179, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.5 + 54.9. Let j = -1.4 - 0.6. Which is the nearest to 2? (a) j (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -550?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2378 - 2377. Let d be (2 + 1)\/((-3)\/2). Let h(w) = -17*w + 342. Let y be h(20). Sort -5, d, y, t.\nAnswer: -5, d, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 - -2861033.\nAnswer: 2860642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 47*o + 187. Determine x(-43).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/120 - 11*o**5\/60 - 53*o**4\/24 + 3094*o**3\/3 + 41*o**2 + o - 10. Differentiate n(y) wrt y.\nAnswer: 3*y**2 - 22*y - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 150, 205, 316, 501, 778?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4 + 6 = -10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 1\/4, -10\/7, -2\/11?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, -42, -29, 6, 69, 166, 303, 486?\n\"Answer: n**3 + 2*n**2 - 16*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*x + 13, -92*x = 2*t - 88*x + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.5 + -68. Let b = l - -24. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) + sqrt(576)*1*-3 + (-2*sqrt(576)*3 - sqrt(576)))\/(((-1*sqrt(363))\/sqrt(11))\/(sqrt(396)*-1 - sqrt(396))).\nAnswer: -864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 4. Suppose 2*c - 2 = 0, -5*c + 5 + 12 = -2*y. Let l = y - -11. Let i(q) = 3*q - 5*q - 3 - 4 + l. Give -5*i(h) - 3*o(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4748331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 40 - 81829*a + 81829*a - 11*a**2 + 36 to the form z + q*a + m*a**3 + b*a**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54871, -109743, -164615, -219487, -274359?\nAnswer: -329231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4 = 36*m - 42*m - 23, -m - 2*w = 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1505 - -1505. Let a(k) be the third derivative of k**2 + 3\/70*k**7 + 0*k**5 + 0*k**4 + 0 + b*k**6 + 0*k + k**3. Differentiate a(y) wrt y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from qquuqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -12. Let p(t) = 10*t**2 - t - 9. Let b be p(s). What is the highest common divisor of 31 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -870 - -872. What is the first derivative of 35 + 106*g**l - 173 + 23 wrt g?\nAnswer: 212*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -759465\nAnswer: 37973.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - 3?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 1401, 3143, 5569, 8673, 12449, 16891, 21993?\nAnswer: 27749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 3*n + 4. Let r be o(3). Suppose 0 = 2*a + 2 + r. Let h(l) = l**3 + 2*l**2 - 3*l + 1. Let y be h(0). Sort y, 2, a.\nAnswer: a, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25743 + 5021*k - 25743)*(-1 + 3 + 0).\nAnswer: 10042*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k**2 - 4*k - 4. Let l(u) = -34*u**2 - 13*u - 10. What is -7*d(m) + 2*l(m)?\nAnswer: 9*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/143 and 25\/117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -37, -42, -47, -52, -57?\n\"Answer: -5*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126478 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/58 and 40\/9.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/13 - 51174*d**2\/13 + 7874*d + 153534\/13 = 0.\nAnswer: -25589, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 188*c - 1 - 18*c + 68*c + 196*c.\nAnswer: 394*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 + n**2 - n. Let u be 3 + ((-4)\/3 - (-2)\/(-3)). Suppose -r + 8 = r. Suppose -u = -r*t + 3. Give w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/4)\/(-6))\/(((-20)\/(-88))\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/99*360\/300.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 27*q - 96*q + 11968 = 92*q for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 - 5*h**3 + 2*h**4 + (-3*h**2 + 1 - 1)*(2*h**2 + h - h) + 6*h**4 + 2*h**4 - 5*h**4.\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*l + 22, 8*l + 9 = 5*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbo when four letters picked without replacement from mrubcmomommmmumor?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52.3366 in -5, 0.3, -1\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 8*w**2 - 11*w + 4. Let j(b) = -3*b**3 + 23*b**2 + 32*b - 12. Let o be -6 + (-6)\/3 + 0. Let f(h) = o*y(h) - 3*j(h). What is f(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 170*f**2 - 6*f - 26. Suppose -6 = 3*v + g, 7*g - 8*g + 6 = -v. Is h(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 - v - 7. Let h be r(-7). Suppose 3*p - 9 = -h*p. Differentiate -p - 1 - 7*x**2 - 2 + 4 wrt x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972557 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202202011220 (base 3) to base 10.\nAnswer: -408372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90674, -2, 2 in increasing order.\nAnswer: -2, 2, 90674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -0*v + r, -5*v - 3*r + 15 = 0. Suppose 3 + v = 3*s. List the prime factors of -11*3\/(-6)*s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, w: 1, v: 12}. Give prob of picking 2 g and 1 w.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 738 = 3*a, 680 = 4*a - 3*z - 379. What is the highest common divisor of 25671 and a?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6. Suppose -5*y = -y. Let a be p(y). Let g be (-74)\/a + (-1)\/3. Solve 3*t = -0 - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -3*sqrt(68)*1) + sqrt(68))\/(-1*sqrt(64)).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225\/5206 greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {u: 1, s: 7, y: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 64*d + 897 - 65. Solve -4*u + d = 0, 10*t - 4*u = 6*t - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21373226743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3610 and 2034235.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v + 11*v - 0*v + 2*s - 297, 5*v - s = 81 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3364*i + 11466.\nAnswer: 3364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -118546 + -0.2\nAnswer: -118546.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(22)\/sqrt(2)*-6)**2 - ((sqrt(891) + (sqrt(891) - -1*sqrt(891)))*-4 + -4)**2.\nAnswer: -124756 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 50. Let w be x(-10). Let r(i) = 2*i + 9. Let y(t) = t - 1. Let o(p) = -r(p) + 4*y(p). Let u be o(w). Let l(k) = 2*k - 6. Calculate l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -34. Let z = a + -19. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19405567 and 18203.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n + 28. What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0 + 0 + (0 - 1 + 0)*(t + t + 0*t) + t - 17 + 17.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -6ad0?\nAnswer: -6ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10920 and 12.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2. Let p(i) be the first derivative of 0*i**3 + 0*i + 1\/24*i**4 + 3\/2*i**2 + 4. Let f(r) be the second derivative of p(r). Give y(f(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346939*d**4 - 348400*d**4 - 2 + 659*d - 182*d wrt d.\nAnswer: -17532*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 533*x + 106049. What is z(-199)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 433.\nAnswer: 57\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -5*z**2 + 1863. Let a(w) = 3*w**2 + w**2 - w**2. Give a(l(o)).\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66005907.33736228 + 66118124.21536. Let w = b + -112230.778. Let r = w - -13.9. Round r to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -9)*4\/(-6). Let p be ((-4)\/z)\/((-3)\/36). Let a be 62\/p - 1\/(-4). What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415792374*n**5 + 486610093*n wrt n.\nAnswer: 8315847480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (-3 - (-8 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let q(v) = 329*v. Calculate q(w(i)).\nAnswer: -658*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5881 * -15341\nAnswer: 90220421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38 (b) 5 (c) -148495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 12 + 2 + k + 2*k**3.\nAnswer: 2*k**3 + k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/((-2)\/3). Suppose 2*v + 5*g + 15 = -2, 5*v - 10 = -x*g. Find the third derivative of 8*y + 8*y**5 + y**2 - v*y - 4*y wrt y.\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -343, -474, -611, -754, -903?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8176263658.\nAnswer: 2, 433, 9441413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234042233 (base 5) to base 10\nAnswer: -1080943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/5036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 5*n**3 - n**3)*(2*n + n - 4*n) + (6 - 24 + 7)*(0*n**3 - 2*n**3 + n**3)*(-n - 2*n + n) + 1 + 2*n**4 - 1.\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0*y**5 + 0*y**4 + 19\/42*y**7 - 11\/6*y**3 + y + 0*y**6 + 0*y**2 + 0. Find the second derivative of b(r) wrt r.\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -2.92. Suppose 3*j - 14 = -k, 3*j - 3*k = -0*j + 6. Which is the second biggest value? (a) w (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -14\/11, -3, -5, -4, -20\/9.\nAnswer: -8, -5, -4, -3, -20\/9, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16686363+-234\nAnswer: -16686597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*(-30)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-4 - -2) - 1) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121974 to 7 dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -117*r**2 - 67*r - 4. Let h(i) = i**2 - i + 1. Let k(l) = b(l) + 2*h(l). What is the second derivative of k(v) wrt v?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133516 and 580?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36241750?\nAnswer: 2, 5, 144967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19*j**2 - 5*j. Let l be w(-1). Suppose -x + 534 = -l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22212132 (base 4) in base 13?\nAnswer: -169c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2742 - -1061. Let w = 304 - o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 44 = 0. Let x = -18 + t. Is 2\/(-7) - 345\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 14. Suppose 3*c + 223991 = 2*q, 0 = 2*q - c + w*c - 224015. What is q rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in 3\/7, 0.8, 56, 1108?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {t: 3, g: 15}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22167 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -568579.19794 plus 0.02?\nAnswer: -568579.17794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by -52.\nAnswer: 173\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2982 - 2983. Is 12\/95 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -16. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*3\/(8\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 9*k - 7. Let g be -4 + (-2 - (-1)\/(-1)). Let q be u(g). What is q rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4 = 10. Let r(t) = -l + 867*t - 109200*t + 4. Let k be r(-6). Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 32 = -26*u. Solve 3*p - u*p + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 16*l. What is the nearest to -2\/7 in l, 0.7, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 80 = 16*d. Calculate the smallest common multiple of 1 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k\/(k\/k**1)*k)))**(-37)\/(k**(-3))**(2\/31))**(1\/4))**13 assuming k is positive.\nAnswer: k**(-44655\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087464 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1015, 1018, 1031, 1060, 1111, 1190, 1303, 1456?\n\"Answer: j**3 - j**2 - j + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**5 + 2*m**4 - 72*m**2?\nAnswer: -240*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.08 - -0.134.\nAnswer: -1.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.5 - 18.5. Let j = 2 + 3. Which is the nearest to n? (a) j (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17879 rounded to the nearest 100?\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/(2\/((-1)\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -63\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -4, -1\/3, -5\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54939492 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(11\/33) - 13. Let n be (1\/(5\/l))\/(29\/(-145)). Let m be 10\/((5 - 2) + -1). Solve 0 = m*o - 4 + n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = -2*c, 2*w + 16 = 4*w - 3*c. Which is greater: w or 32\/11?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 + 19 + 1434*y**2 + 36*y**5 - 6*y**5 + 8*y**3 - 11 wrt y.\nAnswer: 1800*y**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 2\/17, -0.4, 4.21, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 < 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x. Let f(k) = k**2 - k + 2. List the prime factors of f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*730\/(-146)*3\/(-126)*-2.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79, -139, -185, -211, -211, -179, -109, 5?\n\"Answer: w**3 + w**2 - 70*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821706?\nAnswer: 2, 3, 136951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, u: 5}. What is prob of picking 1 b and 2 u?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 75*i**2 + 1905*i - 26965. Let t(m) = 13*m**2 + 318*m - 4494. Let d(v) = -6*j(v) + 35*t(v). Determine b so that d(b) = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190278?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25989373.\nAnswer: 797, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 961*f**5\/3 - 124*f**4 - 925*f**3\/3 + 124*f**2 - 12*f = 0 for f.\nAnswer: -1, 0, 6\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180405.809861 - -180408.6. Let k = -2.79 + i. Round k to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6801476 or 6801469?\nAnswer: 6801469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvgcppraa. What is prob of picking 1 g and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 9. Suppose f*w = -8*w + 1224. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:50 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 145356202 (base 7) to base 4\nAnswer: 211003002322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32856 - 605137.026?\nAnswer: -605137.35456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/20 - 851*q**2. Let g(x) = 38*x. What is g(d(z))?\nAnswer: -114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p*p\/p**(-1\/3)*p)\/p)**(-6\/13))**(-24))**28)**(-17) assuming p is positive.\nAnswer: p**(-228480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*m**2 + 46*m**2 - 151*m**2 - 1 + 1 + m**2 + (2*m - 1 + 1)*(-4*m + 2*m + 0*m).\nAnswer: -184*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035341784 + 22277122.\nAnswer: 22277122.035341784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (8 - 8 - -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -790 (b) -23 (c) -2\/17 (d) 3 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 2, y: 1}. What is prob of sequence viv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -42*h**2. Let r(m) = 15*m**2 + m - 2. Let n be r(1). Let y(b) = n + 13 - 27 - b. Calculate z(y(s)).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*w - 2. Let p = 47 + -27. Calculate the remainder when p is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 - 23*y**2 - 1957*y - 22021 = 0. Calculate y.\nAnswer: -19, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:58 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/11, -20, 33\/91?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-20))\/6)\/(9\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -520 - -1233. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u\/(u**(2\/3)\/u)))\/u)\/(u\/u**(-2)))\/(u\/(u\/(u\/(u\/((u**(1\/4)\/u)\/u)))))**7)\/(u*u**(1\/4)\/u*u**(1\/3)\/u*u**(-5)\/u**2) assuming u is positive.\nAnswer: u**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d, 5*s + 15*d = 10*d + 5. Suppose -4*c + s*m = -2348, -4*m + 2921 = 5*c - 3*m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*h - 64 = -a, -3*h - 121 = -5*a. What is the remainder when 68 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3\/3 + 11*o**2\/2 - o + 93. What is d(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4*60\/135. What is the tens digit of (4 - o) + (-3 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.142 - 7.158. Let i = -7 - n. Let w = 28998 + -28997. Sort 0.8, i, w.\nAnswer: i, 0.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*v**3 + 161*v**2 + 103*v - 76.\nAnswer: -(v + 1)*(2*v - 19)*(9*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 315*j**4\/4 - 160*j**3 + 30. What is the third derivative of a(s) wrt s?\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -2916447?\nAnswer: 2916449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 5. Suppose 19 + 51 = 7*s. Let p(n) = n - 3. What is s*p(h) - 6*f(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14608, -1.4, 0.2, 79\/5?\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11435866 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 2*l**2 + 19*l + 16. Let c(n) = n**2 + n + 1. Let m = 4 + -3. Let t(d) = m*h(d) + 2*c(d). Find b such that t(b) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 5*x + 6001 = 0. What are the prime factors of x?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - 17 + 17)*(-5 - 51*o + 4 + 1 - 1094*o - 145*o).\nAnswer: -6450*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 4. Suppose 3*o + 15 = -0*o. Let b(m) = 13*m + 97. Let r be b(-8). Let u(q) = -q - 3. Calculate o*a(g) + r*u(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k - 14. What is the units digit of i(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37567802?\nAnswer: 2, 37, 507673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91910 divided by -455?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4. Let t be w(2). Suppose 5*h + 17 - 7 = 0. Let z be ((-9)\/3)\/(t\/h). Which is the second biggest value? (a) z (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 367\/4 + -91. Let k = 0.06 + 0.04. Let h = 2836 + -2836.1. What is the second biggest value in h, k, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 43*c**2 - 5760*c - 6086. Determine y(135).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70499, 1, 0 in decreasing order.\nAnswer: 1, 0, -70499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, u: 2}. What is prob of picking 2 u and 1 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/145 and 64\/1632 + 11434\/38760?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -98. Let j = k + 0. Calculate the common denominator of ((150\/(-9))\/(2\/j))\/8 and -79\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1195*w + 342977. Give g(287).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -p - 20. Suppose p*w = 9*w - 250000. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -43*r - 4. Suppose 0 = -14*o - 187 + 495. Let m(l) = 11*l + 1. What is o*m(p) + 6*d(p)?\nAnswer: -16*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26846\/13 + 2069. Suppose -4*f = -16 + 20. What is the common denominator of l and f + 206\/(-4)*(-2)\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 3*g**4 + 2*g**4 - 5*g**4 + g**4 + 6*g**4 + (-2*g**2 + 2*g - 2*g)*(2*g**2 + 0 + 0).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6313 - 0.6813. Let a = -2\/113 - 220\/339. What is the second smallest value in a, -7, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2968 and 2641149?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(2*r**2 + 3*r**2 - 4*r**2) + (29 - 13*r**2 - 29)*(-14 - 6 + 5) + 0*r**2 + 3*r**2 + 0*r**2 in the form h*r + i*r**2 + z and give i.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 14 - 2)*(-u - u - u) - 24*u - 36 + 36 as r + i*u and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 109 = b, -3*v + 0*b = 3*b - 63. Calculate the remainder when 160 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.9 - -11.89894. Round t to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 13*x + 368. Give v(30).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let b = -12 + 19. Suppose 0 = b*z - t*z - 155. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475 a factor of 84794800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2103.8 + 2104. Let d = -0.1 - -0.4. Which is the closest to 0? (a) d (b) o (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y + 2*y + 4 + y - 4 - 2*y - 2 + 2 + (2 - 1 + 1)*(0*y - 2*y + y) + 0*y + 0*y - y + (-3 - 2 + 3)*(-9*y - 15*y - 28*y).\nAnswer: 99*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 3, -98, -245, -438, -677, -962?\n\"Answer: -23*f**2 + 14*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6252 is divided by 1018?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k + 2*k)*(85 + 510 - 152)*(-3 + 2 + 3) + 1 - 1 + k - 2*k + 5*k - k + (-2*k + 5 - 5)*(1 + 3 - 5).\nAnswer: -1767*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(13\/6)\/(y**(-2))**(-2\/157))**(2\/7) assuming y is positive.\nAnswer: y**(-4154\/9891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -561 + 385. Let x = 141 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from sqlliviisqqqsvqsq?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let a(l) = 2*l**2 + 67894*l + 119. Calculate v(a(f)).\nAnswer: -2*f**2 - 67894*f - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Let i = f + -2. What is the highest common factor of 11 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2650791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/5 + 2622*x**2\/5 - 2085*x - 2610 = 0.\nAnswer: -1, 5, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*v**2 + 598*f*v - 16957*f + 3*v**2 - 417548*v + 69 wrt f.\nAnswer: -2*v**2 + 598*v - 16957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Suppose -b*j + 5 = -1. Let v be (-3)\/j + 7 + -2. Solve 0*t + o = -t - v, -11 = -t + 4*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078*c**2 + 343*c**2 + 393*c**2 + 341*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1501522*w**2 + 704800 wrt w?\nAnswer: -3003044*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2167 + 2197. Solve 43*h - n = 28*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00347966252 to five dps.\nAnswer: -0.00348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b57 - -3a17?\nAnswer: 4871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -51. Let u = -57 - g. Let s = 59 - 59.2. Sort u, 2\/19, s.\nAnswer: s, 2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3180465, -2, 0, 5.\nAnswer: -3180465, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16966687.\nAnswer: 101, 167987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from aiiciaai?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2*l + 2. Let w be z(2). Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3020 + 3?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8649 - 4170 = 14*v + 4297 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-18)*2\/(-14)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4731960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.53 and -345.2?\nAnswer: 349.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-10 + 5) + -1. Let k(v) be the second derivative of -1\/30*v**r + 0*v**2 + 2\/15*v**3 - 2*v + 0. Factor k(b).\nAnswer: -2*b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(v + v - 4*v)*(3*v**2 + 2*v**2 - 4*v**2).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.99 - -3.09. Let r = y + 13.8. Let j = 2 - 2. Sort -3\/8, j, r in decreasing order.\nAnswer: j, r, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*((-2)\/(-1) - 1). Let a(c) = -c. Let k(b) = -17*b + 9. Let m(l) = 3*a(l) - k(l). Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, -1, -5, 2\/5, 13652?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020222010122 (base 3) in base 10?\nAnswer: -668591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 629557406*f**3*m**3 + 72404*f**2*m + 7140*m**3 wrt f?\nAnswer: 3777344436*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -8\/11*d - 5\/22*d**4 + 2\/55*d**5 + 8\/11*d**2 - 12 + 1\/33*d**6 - 2\/33*d**3. Find s such that v(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 734 - 721 - (44 + 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i**3 + 3*i**2 + 0*i**2 + 0*i**2 + 117 - i**3 + 3*i**2 wrt i?\nAnswer: -18*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*p - 2 = -4, -24 = -4*w - 4*p. Let d(t) = -t**2 - 1 + 3 + w + 6*t. Let i be d(5). Calculate the highest common divisor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5301 - 5298. Sort p, 5, -5, -206 in decreasing order.\nAnswer: 5, p, -5, -206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20072 and -87\/14612.\nAnswer: 5640232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -545920*k. Let y(j) = -j. What is u(y(z))?\nAnswer: 545920*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366558 is divided by 241.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5803455*t**3 + 34*t**2 - 7963*t + 1.\nAnswer: -34820730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 13*r - 13. Let z = -75 + 123. Suppose 3*f - 12 + z = 0. Determine c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-12 + (21 + -9 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**4 + 28*g**3 + 148*g**2 + 68*g - 40 = 0 for g.\nAnswer: -2, -1, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31541540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*n**3 - 348*n + 4792.\nAnswer: 270*n**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8032 - 4981. Let t(u) = 6101*u - 2 - 3043*u - w*u. Let z(a) = -8*a + 2. Calculate -2*t(j) - 3*z(j).\nAnswer: 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Solve 2*r - 14 = -c*i + 5*i, -6 = -4*i + 2*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 1\/15*t**5 + 0 + 1\/3*t**4 + t**2 + 1\/42*t**8 + 0*t - 1\/3*t**3 - 2\/15*t**6 - 1\/105*t**7. Solve x(u) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 53*v**2 - 110*v + 185. Give h(55).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 5. Suppose v = -4*d + 37, -5*d - 2*v + 70 - 23 = 0. Let w be ((-15)\/d)\/((-4)\/(-36)). Let l(o) = 1. What is w*l(c) + 3*u(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*1)\/((-24)\/984) + -4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 0.2.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6282300, 6282297, 6282294?\nAnswer: 6282291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**2\/p))**(-5)*(p*((p**13\/p)\/p)\/p)\/p*p**(-4) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a11 + -52?\nAnswer: -a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12609 or 12610?\nAnswer: 12610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7\/2)\/s)\/(s\/(s\/(s*(s**18\/s)\/s)*s)))**23 assuming s is positive.\nAnswer: s**(-943\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11344*z**3 + 10*z - 182 wrt z?\nAnswer: -68064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 2, y: 4, m: 6, c: 3}. What is prob of sequence vnv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 124 + 137)*(-17*p**2 - 6 - 17*p**2 + 31*p**2).\nAnswer: -582*p**2 - 1164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 3*c - c)*(c + 22*c - 3*c)*(-6*c + 24*c + 5*c) to d + a*c**2 + t*c**3 + b*c and give t.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1 - (-8 + 13 + -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -18.\nAnswer: -113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*y - 8 = -4*s, -4*y - s + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6535551 and -47.08.\nAnswer: -6535598.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14287573 + 14287656.000057. Let z = -0.154 - -83.154. Let k = z - b. What is k rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 211 = 13. Suppose 0 = 3*n + 79 + f. Let q = n - -60. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r + 3*m, -r + 5*m = -5*r + 2. Suppose r*k - 2*j - 21 = 9, -4*k + 40 = -5*j. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.0141\nAnswer: 0.1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 8*q**2 - 4*q - 10. What is the least common multiple of u(-8) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 21 = -3*q, 7*q + a = 4*q + 21. Suppose -4*b = -q - 5. Find the second derivative of 12*v - b + 3 - 3*v**2 - 14*v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591549629 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(3 + -4 - -2). Let q be (-1)\/p*0\/6. Suppose r + 7 - 22 = q. What is the highest common divisor of 135 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2 - 0. Suppose -s*u - 3*u - 69 = -2*k, -35 = -k + 2*u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 3*z + 4*z + (-4 + 0 + 5)*(-z + 0*z + 0*z) - 3*z + z + z + 9 - 9 + 11*z to d*z + m and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 288*r**2 - 666*r - 24971. What is s(-290)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -283 + 302 + 6 + -27 + -4 - (1 + -58)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 6*j + 16. Let f be o(7). Let p(n) = -f + 3 + 3*n - 2. What is the least common multiple of p(6) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3 + -32)\/(-1). Let o(q) = -q**2 + 17*q + 728. Let s be o(36). Calculate the greatest common factor of d and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11194192 by 11194192.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 divided by 1.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b - 8*b - 15*b + 67*b - 27*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -24 + 14. Let q(t) = 13*t**3 + 3*t + w*t**3 - 22*t**3 - 2 + 5*t**2 - 1. Let f be q(-4). Which is the closest to f? (a) -4 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*g - 25 = 0, 5*n - 6*g - 45 = -2*g. Suppose 3*d - n = 8*d. Let c = -2 + 2. What is the closest to 0.1 in d, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a week in hours?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 2*u**2 + 5*u - 2. Let y be k(3). Let p be 4\/18 - 94340\/(-477). What is the highest common divisor of y and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8184)\/429)\/(-31))\/(16\/520)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2935 + 2937. Solve 31*k - x = -64 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 100*b - 53*b = 48*b + 24, -4 = -7*j - 3*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10615 divided by 1857.\nAnswer: -10615\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 39. Let l = 417 + j. Let q = l - 238. Does 37 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - 132\/18. Let f = l + 40. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124042449 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -877? (a) -1\/3 (b) -1\/5 (c) 34 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2 - 4. Let j(r) = -r**2 + 1. Determine 4*j(i) + y(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Suppose 5*x = 2*a + a + 4, 0 = -b*x - 5*a + 14. Let d be (-1)\/(-3) + (39\/(-9) - -4). Put d, -4, x in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5.7. Let k be (-4 - (-330)\/77) + 75\/7. Let p be k\/55*-2 + 8\/10. What is the smallest value in p, j, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 61. Which is the nearest to m? (a) -0.4 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.345, -0.5, -2, -14, -5\/2?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2389, 4715, 7047, 9385, 11729, 14079, 16435?\n\"Answer: 3*w**2 + 2317*w + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 + 66789*x - 5609844\/7.\nAnswer: -3*(x - 155829)*(x - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864180 by 1.\nAnswer: -864180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267*k**4 - k**2 + 29.\nAnswer: 6408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300130 + -220?\nAnswer: 1233310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t - 50*t = -1640 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -69*k + 471. Let c be b(5). Calculate the greatest common divisor of 119 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 252.784.\nAnswer: -176.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 37*j = 20. Let y(r) be the first derivative of 0*r**5 - r**2 + r**j + 3 + 0*r**3 - 1\/3*r**6 + 0*r. Determine g, given that y(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 - 2*k**3\/3 + 7*k**2\/2 - 1485*k - 3. Determine o(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4992 and (-19 + (-3243)\/(-161))\/(3*3\/(-24))?\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:03 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 217477*x**2 + 65. Let a(y) = 2*y. Give i(a(t)).\nAnswer: 869908*t**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 128*w + 0 + 417*w + 187*w.\nAnswer: 476*w + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-8))\/(28\/(-20)*5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 + 10\/(120\/54). Suppose -16*n + w = -14*n - 26, 0 = n - q*w - 18. Suppose -3*a - 2 + 29 = 0. Calculate the least common multiple of n and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 18. Let s be t(0). Let b be 6\/s*(0 + 0). Let q(r) = r**2 + r + 7. Determine q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1\/1008*m**8 - 1\/18*m**5 - 5\/72*m**4 - 1\/18*m**3 - 1\/36*m**6 - m**2 - 1\/126*m**7 + 0*m + 0. Solve c(g) = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -92*h**3 + 24*h + 2. Let y(v) = -v. Give y(o(b)).\nAnswer: 552*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*n - 570 = 0, 0 = -3*x - 2*n + 358 - 16. Find the third derivative of -x*m**2 - 208*m**4 + 949 - 949 + 28*m**2 wrt m.\nAnswer: -4992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251742 and 1992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -5*g**4\/12 + 15*g - 2. Let p(r) be the second derivative of r**3\/3 - 5*r. What is p(c(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3052782 = 171*v - 3317823. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 532141928 or 532141927?\nAnswer: 532141928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)\/(v\/(v*(v*v\/(v**(-5)*v))\/v)))\/(v\/(v\/(v\/((v\/v**4)\/v)))*v*v\/(v**5\/v)))\/((v*v*v\/((v**(-2\/5)\/v)\/v)*v*v)**(-8\/3))**(13\/4) assuming v is positive.\nAnswer: v**(2986\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, -7, 11655, 0.1, -1.11 in ascending order.\nAnswer: -7, -3, -1.11, 0.1, 4\/5, 11655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -336, -328, -318?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeslllel. What is prob of picking 1 s and 3 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -0.2, -2\/11, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -91558\/3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) -21970\/79 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -7.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 51) + 36 + -30 - 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2.3. Let z = 0.9 - -0.1. Let u = z - 1. Is y bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-154)\/35*(10\/2 + -15) and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -341, -509, -677, -845?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 9*j - j**2 + 2*j**2 + 2. Let f be (-32 - (-17 + -1)) + 22. Give g(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45062275, 45062271, 45062267?\nAnswer: 45062263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m. Suppose -3*c = -8*c + 195. Let b = 157\/4 - c. Is b <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21122.\nAnswer: 2, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-10)*n)\/n))\/n**16)**33 assuming n is positive.\nAnswer: n**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from xftfnkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(24)\/sqrt(4)) + 2*(sqrt(19)*1 - sqrt(19))**2 - (5 + sqrt(171) + 0)) + 2 + (-1*sqrt(152)*6 - sqrt(152))\/(sqrt(8)*1*5).\nAnswer: -17*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19707 - -22687. Let n = h + -22394. Round n to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = 0. Suppose 3*z - z - 4 = 0. Solve n = z*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -579 in ascending order.\nAnswer: -579, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 68, 150, 264, 410, 588, 798?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 8. Let m(z) be the first derivative of z**2\/2 - 4. Determine -i(j) + 2*m(j).\nAnswer: j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b4 (base 16) to base 4.\nAnswer: -122310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/79973 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4095*w - 16371*w + 4091*w + 4094*w + 4089*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-4)*(-8 - -32). Let y be (-59)\/(-3) - m\/(-63). Suppose -5*p = 2*c - 35, -c - 2 - y = -2*p. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 46*r**2 + r - 18. Let c be z(8). Is 2\/(c\/(-5884) + 5\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 8520876.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 398? (a) 1\/8 (b) 0 (c) 0.3 (d) 6\/59 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3194*n - 3195*n - 6 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -499 - -505. Suppose 0 = 4*z - 0*z - 32. Suppose 0 = -b*q + 4*q + z. Solve 4*x + j + 14 = -x, q*x - j = -13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -41*o + 90. Let k be h(31). Is 3 - (4 + (k - -3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22346559 to the nearest integer?\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0711 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 5 + 11618*d - 7*d**2 - 3*d**3 + 5*d**3 + 9*d**2.\nAnswer: 3*d**3 + 2*d**2 + 11618*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 211\/3 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, h: 1, i: 3, k: 2, g: 2}. Give prob of sequence gg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = l - 3*l, -3*o = -2*l. Let a be o + 1 + (-4576)\/(-104). Solve -37 = 2*q - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 120341882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 31 = -n, -3*n + 71 = 5*r - 3*r. Suppose -2*t - 4*x + 62 = 0, 0*x - n = -5*x. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278532 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -972 + 3883\/4. Which is the nearest to 1\/2? (a) -1 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78675, 78567, 78459, 78351, 78243?\n\"Answer: -108*m + 78783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 3136886\nAnswer: -28231974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -5*g. Calculate the remainder when 45 is divided by -2*((-8 - g) + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124380 divided by -15.\nAnswer: 8292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203510927 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*j - 7*a**3*j**2 + 33*a**2*j**2 - j**2 wrt a?\nAnswer: -24*a*j - 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.10886 + -0.18127. Round l to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f. Let m(d) be the first derivative of -14 + 21\/2*d**2 + 0*d. Calculate j(m(z)).\nAnswer: -126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + t**2 - 1 + (-2*t**2 + 2*t**2 + t**2 + (5*t + t**2 - 5*t)*(-2 + 3 + 1) + t**2 + 7*t**2 + 3*t**2)*(9 - 33 + 9 + 8) to y + p*t**2 + h*t and give p.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -5 (c) 0.03 (d) -561 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135122257*l**3 - 350852442*l**2 wrt l?\nAnswer: -810733542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*a**2 - 6*a + 6*a)*(-2 - 1 + 5)*(-1 - a + 1).\nAnswer: -144*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-58112)\/174080 - 2*(-1)\/5 and -49\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19))*6 + (2 + sqrt(19))*4)**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 13*c - 6. Let d be x(-7). Is d at least as big as -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 452*v + 25. Let a(x) = -3*x**2 + 455*x + 20. Determine -5*a(c) + 4*b(c).\nAnswer: -c**2 - 467*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16781.4 and -18.16.\nAnswer: 16763.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -13. Let w = 29 + r. Solve 3*g + 5*l = -13, -9 = 3*g - 0*g + w*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from {o: 2, h: 2, e: 9}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731173549 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 9*x. Let z(i) = -2*i - 9. Let l(n) = n + 4. Let q(p) = -9*l(p) - 4*z(p). Give 6*q(h) - u(h).\nAnswer: 2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654377 and 1382.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13107*a + 5460*a - 3 + 3)*(-5*a**2 + 0*a**2 - 8*a**2) to j + x*a + q*a**3 + v*a**2 and give q.\nAnswer: 99411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29645149 less than or equal to 29645149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 14, 0 in descending order.\nAnswer: 14, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 5, i: 2, q: 1, a: 1, o: 3}. Give prob of sequence ou.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*a - 70*a - 48*a in the form c + x*a and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101000111100000110 (base 2) to base 14\nAnswer: 45178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d - -1f?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**7\/1260 - n**6\/80 + 7*n**5\/720 - 79*n**3\/3 + 201*n. Let c(k) be the second derivative of u(k). Factor c(x).\nAnswer: -x*(x + 7)*(4*x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, -23, 2 in decreasing order.\nAnswer: 2, 0, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**5 - 18*i**4 - 30*i**3 - 6*i**2 + 33*i + 21. Let z(a) = a**5 - a**3 + a + 1. Let n(k) = x(k) + 3*z(k). Factor n(w).\nAnswer: -3*(w - 1)*(w + 1)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 - 5*q + 12. Let u be x(-5). Let s(o) = -14*o + 145. Is s(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 238836?\nAnswer: 238836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-2)\/28 - 40966\/(-8547). Let t = w - 1\/1221. Calculate the common denominator of 87\/8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 5. Suppose -2*l - 24 = 4*a, 4 = -l + 4*l - 4*a. Let k be i(l). Suppose 5*t - 30 = -2*f, k*t - 5*f = 18 - 0. Solve 11*s = t*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*sqrt(48))\/sqrt(2))\/(sqrt(40)\/(6*(sqrt(5) - 2*sqrt(5))))*4)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16563 at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 367. Let p(x) = -270*x - 6*x**2 + o*x. Let s(b) = -2*b**2. Give s(p(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-5)\/10*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.008 and 0.187.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 311*k**7\/210 + 4*k**3 + 15*k**2 + 5. Differentiate t(j) with respect to j.\nAnswer: 1244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -1 (b) -4 (c) -0.5 (d) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.2, 14, -10, 742, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2. Let g(y) = 2*y + 891392. Determine g(c(z)).\nAnswer: -6*z**2 + 891392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 18*b = 0. Let u(l) = 4*l + 6. Let y be u(0). Solve b = -y*o + 4*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 1040. Let b = 1119 + -734. Let o = b + a. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 7:16 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let j = 25 - 21. Suppose 5*z + 3*c - 468 = 0, -3*z - j*c + 127 = -145. Let u = z + -97. Let v(s) = 2*s + 7. Determine u*v(b) - 5*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 - 4. Let k = 4708 - 4713. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/73 + -5493\/292. Calculate the common denominator of b and 3\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1025 (base 7) to base 14\nAnswer: -1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 6677.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 921 + -917. Suppose -c + 200 = -5*c. Let m be (42\/35)\/((-4)\/c). Solve -u*j + m = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 940 and 16716490?\nAnswer: 33432980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 34, 5, -15, -3 in increasing order.\nAnswer: -15, -6, -3, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1208, -1184, -1142, -1082, -1004, -908, -794?\n\"Answer: 9*n**2 - 3*n - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.001 - -9.999. Which is the smallest value? (a) 2 (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3)*(2049*d + 1208413 - 1208413).\nAnswer: -12294*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1223 + -674.1223. Let m = 674.01428 + p. Round m to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/3 + x**2 + 89*x. Let h(g) = g**3 - 3*g + 3. Let k be 2\/2*-2 + 6. Calculate k*h(d) - 6*r(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*v**3 + 8*v**5 + 8*v**3 - 4*v**5 + (v**4 + 4*v**2 - 4*v**2)*(2*v - 3 + 3) - v**4 + v**5 + v**4.\nAnswer: 7*v**5 - 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-189)\/(-21))\/((-4)\/(-2)))\/(153\/12)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {c: 2, b: 6, h: 4, k: 6}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.3 (b) -0.03 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -736 - -1701. Suppose 4*j = 3*f + g, 4*j + 2*f = -0*j + 950. List the prime factors of j.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4663387846 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*n**6 - 123779*n**4 + 9*n**2 + 406*n - 8 wrt n.\nAnswer: 1680*n**3 - 2970696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 24 = -0*w + 3*w, -3*z + 3*w = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20812 - -20814. Solve -2*l + 2*y + 8 = 0, -7*l + 4*l + p = 2*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1372496*f**5*u**3 + 13*f*u**3 - u**3 + 16950*u**2 - 2 wrt f.\nAnswer: 27449920*f**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/13 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 3. Let u = 0 - -2. Let h be 1\/(-3) + u\/6. List the prime factors of j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29848639 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547130 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276034871?\nAnswer: 7, 4003, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 72*c**3 + 5*c + 6. Let w(h) = 143*h**3 + h**2 + 12*h + 14. What is -5*a(y) + 2*w(y)?\nAnswer: -74*y**3 + 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001539735 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3121064 - -2?\nAnswer: 3121066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0476 or -137\/5?\nAnswer: -137\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80655259 to three decimal places.\nAnswer: -0.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78414228.\nAnswer: 2, 3, 2178173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 5. Let j be u(-2). What is the third derivative of 2*d**4 - 34*d**2 + 34*d**4 + 0*d**4 + 2*d**3 + j*d**4 wrt d?\nAnswer: 984*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-24))\/(4\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 49*y**2 + 133*y - 89. What are the prime factors of c(49)?\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 63*m - 39. Let x(n) = 13*n - 8. Calculate -5*s(w) + 24*x(w).\nAnswer: -3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 3 (c) -2\/3 (d) 11 (e) -5 (f) 464\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 412.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -16. Suppose 4*v - 355 = 3*m, -m = -5*v + 2*m + 446. Suppose 6*d - o = d + v, -2*o - 38 = -2*d. What is the remainder when d is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -68, -128, -210, -320, -464, -648?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 11*u**2 - 47*u - 379. Is c(-11) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(14 + 772\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 128*q - 51091. Calculate x(-195).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 2*x**4 - 3*x**4)*(-7 - 7 - 1) + (-13*x**2 - 111*x + 111*x)*(x + 8*x**2 - x) + 3*x**4 - 3*x**4 - x**4.\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**14\/(l**(-8)*l**(-6)\/l))\/(l*l**(-1\/8)*l**(2\/7)*l*((l**(1\/3)*l*l)\/l*l)\/l**(-2\/5)) assuming l is positive.\nAnswer: l**(2609\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 321*s - 317*s - 90, s = 0 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -27958.3 and -26.\nAnswer: -27984.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17397826279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, 2, 5, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let g = 5 - a. Sort 5, -3, g in decreasing order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 + 184 - 35*i - 364 - 353*i to j*i + b and give j.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*n - n = -37, 5*u + 3*n - 219 = 0. Suppose -49*k - 90 = -51*k. Is u greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 23 + 9 + 14.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 35, 0.4, 33\/14, 2 in descending order.\nAnswer: 35, 33\/14, 2, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38174625, 38174626, 38174627, 38174628, 38174629?\nAnswer: 38174630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85241423?\nAnswer: 157, 542939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66602 is divided by 1169.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 21*p - 21. What is k(-15)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*o + 15 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - i**2 - 2 - 2. Let q(s) = -63*s + 121 - 121 + 71*s - 10*s. Give q(j(l)).\nAnswer: 2*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 3*v + 78 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 6 = 0. Solve -n + u + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -120*q - 9 + 61*q + 71*q. What is the units digit of p(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2838759 + 2833639.948. Let m = -5119.075000076 - b. Let q = -0.023 - m. Round q to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 6*a**3 + 2*a)*(5 + 0 + 0) - 2*a**3 + 2*a - 2*a + (-a**2 + 0*a**2 + 3*a**2)*(-3 + a + 3) - 3*a**3 + 6*a**3 - 2*a**3.\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -807 + 807. Which is the closest to d? (a) 5 (b) 0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 6 - (9 - (7 + (-4 - 1) - -7)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100201102 (base 3) to base 12\nAnswer: -4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let l(m) = -7*m**5 + 8*m**2 - 3*m. Let u(r) = 7*r**5 - 7*r**2 + 2*r. Let h(k) = i*u(k) + 2*l(k). Find the third derivative of h(o) wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 138677 = -34433. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k + 58*k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 0*d**3)*(-14*d**2 + 21*d**2 + 27*d**2 + (1 - 2*d - 1)*(-d + 2*d - 3*d) + d**2 + d**2 - d**2 + 3*d**2 - 4*d**2 - d**2).\nAnswer: -74*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6*8\/(-12). Let h = 2183.2 - 2186.2. Let w = -3089\/198 - -140\/9. What is the third biggest value in w, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2757.999998503 + 2758. Round t to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u - 2910 = 200*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140496 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 + 2*g - 2. Let y(m) = -m**2 + 22*m - 46. What is the least common multiple of y(19) and a(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 303 (b) -308.1 (c) 4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2272 and 2165784.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024106 (base 7) in base 2?\nAnswer: 11110001111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -0.5, -0.2, 99, 2\/83, -2\/7?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - 13*w**2\/2 - 26*w - 587. Give b(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*z - 23 = 2*q, -5*z = q. Is q greater than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44, 2.5, -8\/9, -2\/1013?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.78 + 8.15. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6356, 6737, 7122, 7517, 7928, 8361, 8822?\n\"Answer: n**3 - 4*n**2 + 386*n + 5973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -17 + -3 - (-14 + 17).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57549 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67843 is divided by 2314?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25*y - 88. Give d(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2746 + -5961\/2. Let d = 227 + s. What is the common denominator of (18\/(-48))\/(15\/428) and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 7 + 12 - 17 + 0*k + k**2. Let d be x(-5). Which is smaller: 31\/5 or d?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 31 = -12*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(16\/3))**35*((r**29\/r)\/r)\/(r*r**28))**(-3) assuming r is positive.\nAnswer: r**(-554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/19 in 0.3, 1.5749, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107698 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -131770 bigger than -131770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1882803187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139656 by 17457.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48518699 + 326979.\nAnswer: 48845678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 18, -2, -3, -4, -14\/263?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 13 + 7)*(-5*i + 4*i + 2*i)*(-6*i + 3*i + 2*i) + (0 + 6 + 1)*(3*i**2 + i**2 - 2*i**2).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415800449 and 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18272393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*v + 179*v - 90*v + 77 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a**2 - 74*a**2 - 122*a**2 + 11*a**2.\nAnswer: -147*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1568 - -7839\/5. What is the nearest to -7 in 2, 5, -4\/9, u?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -18 + -14 + (5 - -2) - 1 - -57?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbpt when four letters picked without replacement from {b: 1, p: 2, t: 1, z: 6, l: 5}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a - 44513 - 112373 = 0. Suppose -108 = a*w - 3347*w. Calculate the highest common divisor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, -4, 18 in ascending order.\nAnswer: -4, -1, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 46180*u + 1847130. Give k(-40).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-25)*-2*(-65)\/(-26)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 + 243. Find the third derivative of 276*y**3 + 37*y**3 - 5*y**2 - 2*y**x - 2*y - 8*y**2 - 4*y**2 wrt y.\nAnswer: 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00132 + 0.0013. What is s rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*v = 8, -3*v = 2*l - 8*v - 10. Let y(f) = -6*f**2 + l*f**2 - 4*f**2 + 8*f**2. Let u(b) = 60*b**2. What is u(y(o))?\nAnswer: 240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-1 - -4 - ((12 - 19) + 13)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3610*f + 79420. Determine c(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*v - 21, -25*v + 30*v - 51 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**3 - 89 - 5*x**3 + 108 - x**4 - 5*x**2 - 4*x**3 + 2*x in the form s*x + l*x**4 + j*x**2 + f*x**3 + d and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 946815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Suppose -88*r + 72 = 138*r + 524. Which is the fourth biggest value? (a) r (b) -5 (c) n (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2845.\nAnswer: 2\/2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 15164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3024)\/10206)\/((-30)\/81)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1533 + -1509. Let z(k) = 4*k**2 - k - 3. Let d be z(-3). What is the highest common factor of f and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-20)\/35 - (-66)\/(-154). Let b(o) be the first derivative of 2\/15*o**5 + y*o + 1\/3*o**4 + 8 + 2\/9*o**3 + 0*o**2. Factor b(p).\nAnswer: 2*p**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2 (c) -0.5 (d) -11.95 (e) 5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -389, -5, 12 in ascending order.\nAnswer: -389, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2962 - -6337. Let y = t + -3375.08606. Let a = 0.087 + y. Round a to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:05 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 3*v**2 - 2*v - 1. Let o be f(2). Let x(k) = 21*k**3 - 3*k**2 - 2*k + 1. Let h be x(o). Does 32 divide ((-560)\/h)\/((-3)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*g - 37, 4*g + 0*g + 52 = 4*a. Let x be a\/(-25) - (-336)\/10. Let q = x - 31. Solve -n = q*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-49)\/(-245) + -2 + 3. What is the closest to 0 in 0, 0.3, h, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 27 + 27.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*s - 4*i, -4*i = -0 - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 420.4, -3, -1\/11, -0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdmizzmmdiimymi. What is prob of sequence iz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 385\nAnswer: -4\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 4046, 8990, 15828, 24512, 34994, 47226?\nAnswer: 61160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3890 - 3632. What is the greatest common divisor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5100 from 8.58.\nAnswer: 5108.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -7*v + 1494. Suppose -5*b = 3*h - 498, 0*h = -2*b - h + v. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**2 - 8. Let d(x) = 12*x + 225. Let u(t) = -15. Let l(p) = -d(p) - 15*u(p). Give l(g(y)).\nAnswer: 132*y**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o**2 - 66*o - 116*o**2 + 88*o**2 as l*o**2 + u*o + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/56)\/(-2)*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 28, 0, -2, -3.\nAnswer: -3, -2, 0, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848491 is divided by 848480?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 52 + 42 = -4*m, 3*h = 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5)*-10*23\/(-460))\/((-3)\/(-50)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.9753 + -0.1753. Let f = 171 - n. Which is the biggest value? (a) f (b) 0 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -72326393.\nAnswer: -4\/72326393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -24154, -1, -531, 2 in descending order.\nAnswer: 2, -1, -531, -24154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*n + 18, -10*f = -2*n - 5*f + 19 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b - 30*b**4 + 0*b**5 - 16*b**5 + 30*b**4 wrt b.\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 199? (a) -1\/3 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j + 34*j + 32*j - 4*j - j.\nAnswer: 107*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1787*g**2 + 35*g + 36. Let r(y) = -3*y - 3. Let h(x) = n(x) - 2*r(x). What is the second derivative of h(s) wrt s?\nAnswer: 3574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -529, -1197, -2133, -3337, -4809, -6549?\nAnswer: -8557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i. Let f be t(-2). Suppose -q - f = -1. Calculate the common denominator of 23\/2 + q + 8 and -63\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -3*j - 53 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.513432337333 - 6.4?\nAnswer: -6.913432337333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose p = 2*l - 82, -d*l + 2*p = 7*p - 110. Let u be 5\/10*14 + -2. Calculate the highest common divisor of u and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*i + 108*i - 700 = 59*i. Suppose -1\/9 - 1\/9*r**4 + 1\/9*r**5 + 2\/9*r**i - 2\/9*r**3 + 1\/9*r = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3\/3 + 2*k**2 - k - 224. Give n(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 97*i - 9. Let x be s(1). Suppose -96*t + 3744 = -x*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6598 + j**3 + 6598.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**3 + t + 1. Let s be y(-1). Suppose 8*q + 2356 - 284 = 0. Let c = q + 263. Solve 0 = w - 0*w + p - c, 0 = 2*w - 5*p - s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174287 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.1010053892 - 21.101. What is x rounded to 7 decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 15*v**2 + v - 10. Suppose -3*n - 16*n - 164 = -449. Give p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -175394.5 (b) 0.5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -54bb5c?\nAnswer: -54bb5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15667*w + 15667*w + 2*w**2 - 6 + 2*w**3 - 9*w**4 to the form p*w**4 + n*w**3 + g*w**2 + j*w + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980423867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(4 - 3 - 3)*(-98 - 87*x + 98).\nAnswer: -348*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 53153260387.\nAnswer: 53153260384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13 - 4*m + 20*m + 19*m - 5*m. List the prime factors of x(3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9 = 3*p, -p - 12 = u + 3*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58943, -117880, -176815, -235748, -294679?\nAnswer: -353608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 1089244.\nAnswer: 9803196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffgffmfffffffffffff. What is prob of picking 1 m and 1 g?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 32. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-9)\/(-4) + 7\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -545915?\nAnswer: -32\/545915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, 2\/11, -2, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/4 - 9*v**2\/2 - 7803*v\/4 - 7755\/2 = 0. Calculate v.\nAnswer: -47, -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*k**3 - k**2 + 47*k + 33 wrt k?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 94. Suppose -2*g = -6, o*l - 817 = l + g. What is the remainder when l is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105 - 113)*(-1)\/16)\/(6\/(-18)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -12, 3 in decreasing order.\nAnswer: 3, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99244 is divided by 49517.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103756 times 151?\nAnswer: 15.667156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -599.396153 to 1 dp.\nAnswer: -599.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 145, 443, 1029, 1999, 3449, 5475?\nAnswer: 8173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(1\/(-3)))\/((-45)\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6332814 divided by 4?\nAnswer: -3166407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136493 or 136489?\nAnswer: 136489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 - 4. Let z be o(8). Suppose 3*v = 6 - 0. Suppose 0*c = -v*c + z. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + f**2 - f. Let h(u) = 12 - 3 + 2*u - u. Let v be (8\/(-5))\/((-4)\/(-20)). Let s be h(v). What is c(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 + 1521*m**2\/7 + 13500*m\/7 + 26892\/7.\nAnswer: 3*(m + 3)*(m + 6)*(m + 498)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5344111106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -4.2110948.\nAnswer: 8.4221896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 556, 2228, 5014, 8914, 13928, 20056?\n\"Answer: 557*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 2\/19, -0.5, -2\/15, -68?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(-14 + 6 - 18)*(-v**2 + 5*v**2 - v**2)*(5 + 1 - 4) - v**2 + 3*v**2 - 6*v**2.\nAnswer: -160*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeuiuixyyuy. What is prob of sequence yx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 782 - -2?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45127225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.966 - -50. Let k = j - 3.164. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 5 = -16*g. Solve -4*j = -3*j + g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**41\/(g*g*g**(4\/25)\/g*g))\/(g**(-47)\/g*g*g**8\/g*g) assuming g is positive.\nAnswer: g**(1946\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 15\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((((4*sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900))**2 - sqrt(1900)) + 3)*3.\nAnswer: -51307 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-16))\/((-136)\/1088)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17021 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 3, h: 8}. What is prob of picking 3 f and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170065523?\nAnswer: 19, 8950817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-363)\/(-77) - (-4)\/14. Suppose 1 = 2*x + x - q*r, -1 = -r. Let i(t) = 11*t - 4. Let n be i(x). Solve 0 = w + a, 6*w - 3*a - n = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 36091\/5, -292 in decreasing order.\nAnswer: 36091\/5, -5\/3, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144005\/48 + 3000. Calculate the common denominator of s and -103\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*(0 - 2 + 0) + (-1 - 3 + 6)*(1 - 1 + 5*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 + 3*j + 3. Let p be n(3). Suppose -p = -2*o - 4. What is the second derivative of -163*x + 162*x - x**o - x**4 wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 1068*z - 1046*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327c (base 15) in base 6?\nAnswer: 121300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 564*p = 562*p + 81, -2*r - 3*p + 50 = 0. Solve 5*n - r = -2*a + 16, -7 = -3*n + 4*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w. Let s(v) = 13*v. Let g(n) = -11*j(n) + 6*s(n). Let q be g(2). Factor -2 - 2 - 8*f + 2*f - 2*f**q.\nAnswer: -2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -38.7. Which is the nearest to -1\/3? (a) 0.06 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 478, 1118, 2006, 3136?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/(i*i**(-3\/8)\/i))**(-29)\/((i*i*i**(-2\/15))**(-2\/37))**(-29) assuming i is positive.\nAnswer: i**(-87029\/4440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*4\/(-4) + -3. Let k(u) = -5*u - 6. Let i be k(v). Let z be (-4)\/18 + (-332)\/i. Solve -24 + z = -5*g, 0 = r - 3*g + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 87. Suppose -4*p + q = p. Let j = 1 + -1. Solve 4 = p*i - j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 2*q - 9. Let l be g(-7). Solve 5*y + l = -6*n + n, -2*y + 2*n = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 12:51 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (8*62 - 4). Suppose -m = k + 6*k. Let p = k - -69. Is p less than or equal to 1\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.5 (b) 22 (c) 1\/4 (d) -7 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (7 - -1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:26 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -43*p + 39*p - 4*s, 3*p = 8*s - 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81995287 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4965 divide 1012646505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - u + 4. Let s(f) = 3*f**2 - 4. Let c(q) = -3*s(q) - 4*y(q). Let i = -23 - -33. Let p = 14 - i. Determine c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2384\/9 - -266. Factor 14\/9*c**2 - 4\/9 - p*c.\nAnswer: 2*(c - 1)*(7*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 11 + 4 - 2*n**3 + n - 14*n**4 - n**2 - 9 to d*n + z*n**2 + s + r*n**4 + t*n**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29445174 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 146\/(-511) + ((-200)\/(-14))\/1. Let p = 7 + -5. Suppose 5*v + p*v = t. Solve -v*j - 3 = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-40)*(r**(-1\/5))**(-44))**5 assuming r is positive.\nAnswer: r**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8584, 4276, -2902, -12950?\n\"Answer: -1435*j**2 - 3*j + 10022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -864 divided by -18?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = 5*s - 316 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 8*a**2 + 9*a + 5. Let w be s(-9). Let d(q) = q**3 - 6*q**2 + 5*q. Let b be d(w). Let f(c) = c - 4. Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36365\/23 - -1581. Which is greater: o or -68?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16527299*c**3*g**2 - 106*g**2 + 13636*g wrt c.\nAnswer: 49581897*c**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*4*-3 - sqrt(245)) + (sqrt(20)\/(sqrt(16)\/sqrt(8)))\/sqrt(2))**2 + -4.\nAnswer: 40496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 - 11*k - 2. Determine x(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 207?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 3. Let f(m) = m - 4. Let j = 0 + 0. Let c be f(j). Put c, -2, u in increasing order.\nAnswer: c, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*b - 13. Suppose -b = m - 85. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004618614 rounded to five decimal places?\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -155*x**4\/24 - 8*x**3 - x**2 + 117*x. What is the derivative of p(y) wrt y?\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -61. Suppose 5*r = 5*u - d - 37, 4*u + r = 12. Solve u*n - 5*x + x = 4, 5*x = 2*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -562 from 4307.1.\nAnswer: 4869.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1138989 (base 10) to base 5\nAnswer: -242421424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and 109\/686.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/((-225)\/648))\/(0 - (-4)\/(-2170)).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 95\/16 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let i be (a - 4)\/(1\/(-1)). Suppose 2*u - 187 = -i*y, -3*y = -4*y + u + 54. Calculate the remainder when y is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 373582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*j - 496*j - 67251 - 8844 = -14623 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 135*l**2\/2 + 4351*l\/4 + 5415.\nAnswer: -(l - 19)*(l + 4)*(l + 285)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*l - 1, 10*l = 7*l + 3*w - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + r = 9, 3*y = -3*r + 3. Let p = -18 + 19. Let w = -10\/3 - -11\/3. Which is the second biggest value? (a) w (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3479 is divided by 3460.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -51831852 rounded to the nearest one hundred thousand?\nAnswer: -51800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -165, -164, -171, -192, -233, -300?\n\"Answer: -g**3 + 2*g**2 + 2*g - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5212449 - 0.11.\nAnswer: 2.4112449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23550273*s**2 + 38887617*s.\nAnswer: 47100546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -53 (b) -5 (c) 171.74 (d) 2\/3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 8, h: 4}. Give prob of picking 2 h and 2 b.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - i - 14, 4*i - 4 = -10*p + 6*p. What is the second derivative of 5*n + 54*n + 331*n**3 + 329*n**3 - 67*n**4 - 660*n**3 - p wrt n?\nAnswer: -804*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1526 in descending order.\nAnswer: -4, -5, -1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 2)*(2 + 0*d - d - d) - 1 + 1 - 2*d.\nAnswer: -18*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12340753?\nAnswer: 12340753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -1\/3 (b) 0.4 (c) -0.5 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607*q - 2630*q + 1315*q.\nAnswer: 292*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 370*i**2. Let m(q) = 377540*q. Calculate n(m(t)).\nAnswer: 52738487092000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2203 = -g + 14092. Suppose 106295 = -m + g. Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5131400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**6*a)*a)\/a**6*(a**1\/a)**21 assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.204 + -0.12. Let o = 11.32 - 18.236. Let x = r - o. Is 2\/7 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569621133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 + 6*d + 1. Let s be (2\/6)\/((-6)\/(-18)). Calculate the remainder when (12 + s)*2*1 is divided by n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 2*m**4 - m**4 + 4*m**2 + (-3 + 5*m + 3)*(-2*m**3 - 23 + 23) + m**2 + 8*m**4 - m**2.\nAnswer: -m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:37 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 14*b = -39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - a**4 + 11*a**3 + 29*a**2 + 26*a + 8 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -128?\nAnswer: 67\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-9)\/3)\/6*-6. Suppose 0 = -4*k - g*r + 92, 4*k - 5*r = -3*r + 62. Let w be -3 - (0 - 1) - (k - 24). Solve -w*b + 20 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 12*p - 12*p)*(-5*p**2 + 10*p**2 + 26*p**2)*(3*p + 2*p - 4*p).\nAnswer: 248*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) -0.01 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 0.048.\nAnswer: 2.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 32. Suppose b*p + 175 = p. What is the highest common divisor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 9*u**2 + 2*u - 11. Let d = -2912 + 2917. Let w = 86 - 41. Suppose 0 = -d*p - a + 45, -5*p + 2*a = -3*a - w. What is n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**5\/20 + j**3\/3 + 15*j**2\/2 - 43. Let h(f) be the third derivative of u(f). Let w(s) = -4*s**2. What is h(w(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 1\/12*f**8 + 0*f**3 + 0*f**7 + 0 + 0*f**4 - 19\/30*f**5 + 0*f + 0*f**6 + 3*f**2. What is the third derivative of w(p) wrt p?\nAnswer: 1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14bc + -13?\nAnswer: -14d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-6) + -2 + (-210)\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/3)\/((-6)\/9). Solve 0 = -u + f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 2*b - 21. Give m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202452.\nAnswer: 2, 43, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z - 3. Suppose 5*j + 2*l + 26 = 0, 2*j - 6*j - 25 = 3*l. Let k(b) = -6*b - 3. Let o(f) = j*k(f) + 5*t(f). Give o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1463 and 4004.\nAnswer: 76076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 83*k - 1131. What is h(13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 3. Suppose f - 33 = k. Suppose 9 = 2*c - 27. What is the highest common factor of c and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 16\/12 + -1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.1. Let y be (-1)\/19*(153\/(-17) - -7). Which is the biggest value? (a) y (b) 0.3 (c) -0.1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1be - 3ab6?\nAnswer: -3c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from {z: 1, n: 2, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 159?\nAnswer: -43\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 8. What is b(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:47 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*6\/3 - -2. Let s be ((-3)\/b)\/((-12)\/(-8)). Let y = -1\/52 + 161\/260. What is the smallest value in y, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/20 - j**4 + 5*j. Find the third derivative of x(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/31057 - -31053\/62114. What is the biggest value in y, 1.2, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Suppose 5*x - 53 + 3 = o. Let a = x + -9. 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 the value of 8266\/202517 - (-2509)\/(-245)?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 3*y + 5. Suppose 2*r - 7 = 2*m + 3, 3*r = 12. Let g(o) = o**2 + o - 1. Give m*l(j) - 4*g(j).\nAnswer: -3*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1842 - 1805. Calculate the highest common factor of r and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**(-7\/4))\/(j**(-6\/13)\/(j*(j**7*j*j*j)\/j)) assuming j is positive.\nAnswer: j**(531\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48552919?\nAnswer: 3433, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -663, -670, -679?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(275) - sqrt(275) - sqrt(275))**2 + sqrt(11)) + 2*((sqrt(352)\/sqrt(2))**2 - sqrt(11)).\nAnswer: 64*sqrt(11) + 2008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136592 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. Let w be 8\/18 + (-10)\/15. What is the second biggest value in -3, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 1183.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -865, -1728, -2591, -3454?\n\"Answer: -863*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133083442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*w - 7 = 3, 0 = n - 53*w + 57*w - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 - 17599?\nAnswer: -17916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 153, 10030?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a**7)\/((a\/(a*a**(2\/15)))\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-209\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 + -61 - (1 + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 224 = -14*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 956.6854 nanometers in meters?\nAnswer: 0.0000009566854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 28, -230, 1\/5, 2, 4 in decreasing order.\nAnswer: 28, 4, 2, 1\/5, -0.1, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 1 - 1)*(-2 + 2 + 1) + 1 - 1 - z + 11*z - 32*z - 63*z.\nAnswer: -83*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4332485 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.97. Let l = i + -0.17. Let p = 3.34 - 4.34. What is the second smallest value in 1, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -49*s**4\/12 + 7*s**3\/2 - 21*s**2\/2 - 375*s. Let m(y) = 12*y**2 - 5*y + 5. Give 21*m(p) + 5*r(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 2 = 0. Let d(y) = y + 1. Let w = -233 + 230. Let h(z) = z. Let a(m) = 4*m - 2. Let i(r) = -a(r) + 6*h(r). Determine o*i(t) + w*d(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 15 + 20 + -11 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7266, 11778, 16286, 20790, 25290, 29786, 34278?\nAnswer: 38766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 10 = -h, 0 = 4*h - 98*i + 64*i + 170 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(108)*-1 - sqrt(108)) + 5 + sqrt(3) + -1 + sqrt(3))*-4)**2 + 3 + sqrt(15)\/(sqrt(5) + sqrt(50)\/sqrt(40) + sqrt(5)) + 2)*-3.\nAnswer: -15183 + 19194*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -g + 16020, -4*g + 7055 + 16985 = 3*y. What are the prime factors of y?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 22. Calculate v(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-196)\/(2 - -12))\/(-11). Find j such that -z*j + 4\/11 + 6\/11*j**2 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + 5*j**2 + 9*j - 5. Let s(q) = -q**3 + q - 1. Let h(v) = 2*s(v) - w(v). Suppose 133 = 7*m + 91. Determine h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220 (base 3) in base 2?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/21316725?\nAnswer: 4\/21316725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45575 divided by 6.\nAnswer: 45575\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116032 and 57568?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.7591ug to tonnes.\nAnswer: 0.0000000008817591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 26*l**2 + 64*l - 3. What is the thousands digit of n(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/443 - 695\/27909. Let o be (-2038)\/504 + 5 + -6 + 5. Let q = o - k. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1174 + 149486?\nAnswer: 148312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8358 - 1\nAnswer: 8357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 + -210302330?\nAnswer: -210302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2*g + 2*g. Let u(n) be the third derivative of 0 + 0*n + 0*n**3 + 0*n**4 - 11\/60*n**5 - 83*n**2. What is u(j(i))?\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74903, -74912, -74921, -74930, -74939, -74948?\n\"Answer: -9*l - 74894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**6\/120 - q**5\/15 + q**4\/4 + 10*q. Let i(u) be the third derivative of a(u). Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36952 - 159320 = -2726*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742, -6023, -20362, -48289, -94334?\nAnswer: -163027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4043 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: What is the nearest to 1\/2 in 4\/5, -1, 6, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26310 and 7960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**8\/40320 + c**5\/30 - c**2. Let g(u) be the third derivative of p(u). Factor g(s).\nAnswer: -s**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.69803 + 26.7. What is o rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.521 times -74?\nAnswer: -1074.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5079400 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 13224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1363986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**23*w**(-19) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 8*l + 2. What is the remainder when k(-7) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24967630 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811150543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/(-10))\/(8565\/(-1127725))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(40\/366)*20045\/(-12027))\/(2\/2)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 + 6*v**2 - 4*v**2 + 0*v**4 - 8 + 3*v - 4*v**4 to the form u + q*v**3 + n*v**4 + z*v**2 + h*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -12. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 4. Let w be (-3 - 1)*27\/b. Let x = 12 + w. Solve 4*s + 13 = -x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*2*(-1 + 0). Let i = -9193 - -9183. Is v <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 927a7?\nAnswer: -927a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - c + 11)*(-6 - 4 - 26)*(-2 + 2 - 2*c) to z + i*c**2 + m*c and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14\/5)*h*h**(-16) assuming h is positive.\nAnswer: h**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 10:37 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 23691 - 101508 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -75*n - 979. Determine g(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(46\/(-483)). Is f\/((-7)\/(-1213))*(0 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -31*p**5\/5 + 55*p**2\/2 - p - 38. Find the second derivative of r(n) wrt n.\nAnswer: -372*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*p - 27 = 0, p + p = -4*c - 2. Let t be 6 - 5 - (0 + 2\/c). Which is smaller: t or 22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + 2*k + 4. Let h be -2 - -12 - (11 + -2). Let t(i) = -i**3 + 1. Give h*p(r) - 4*t(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.329056 rounded to two decimal places?\nAnswer: -15.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077*a - 19793 - 30710 = -8963 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -7*q + 35. Suppose q*v = 12*v + 58. What is the lowest common multiple of 14 and v?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01 plus -113.1?\nAnswer: -115.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2430*m = -2406*m - 72. Solve 0 = -3*y + m*b + 117 - 111, -3 = -3*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 4:35 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.6. Let l = 2.6 - p. Let s = 12 + -7. Which is the closest to -2\/7? (a) l (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17298 and 2046?\nAnswer: 190278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-484561.\nAnswer: 9691.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/28*(-4)\/6. Suppose -3*q + 683 = 4*r, 4*q = -w*r + 2*r + 161. Let x = 65 - 30. What is the remainder when r is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3497197742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8794585, -8794880, -8795189, -8795518, -8795873, -8796260?\n\"Answer: -w**3 - w**2 - 285*w - 8794298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 156 in -2\/5, 3, 2, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 943935, 1887867, 2831799, 3775731, 4719663?\n\"Answer: 943932*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5008425.\nAnswer: 3, 5, 43, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r + r. Let o(m) = -m**3 - 7*m**2 - 6*m - 5. Give o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 17675404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 114*b - 32. Suppose 0 = -3*v + 19 - 4, -3*v = 3*r - 27. Is 16 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012111200 + -211122?\nAnswer: -1020100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + z**2 + z. Let r(p) = p - 6. Let k be r(5). Let c be b(k). Let l be (-1)\/(-2) + 214\/c. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -4*m + 41. Let v be (1 + -1)\/(-3)*(-1)\/(-2). Suppose 5*n - 2*g - 3*g = -5, -3*n - 5*g - 27 = v. Put n, -1, 1, m in decreasing order.\nAnswer: 1, -1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (3 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*w - 21 = 0, 2*v + 2*w = -2*v + 12. Let i be (v\/3)\/(12\/180). Suppose 1 = i*u + q - 27, -q = 4*u - 22. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.983 kilograms in milligrams?\nAnswer: 993983000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257887?\nAnswer: 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.76 + -4.66. Sort -2\/5, a, 1, -6 in descending order.\nAnswer: 1, a, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-20)\/((s*s**(-30)*s)\/s) assuming s is positive.\nAnswer: s**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 96*f**2 - 5*f + 10. Let z be u(4). Let g = 2155 - z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/13 - -1\/39. Which is the second smallest value? (a) -4 (b) 2\/7 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 4*m**2 + 9*m - 5. What is the tens digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 31 - (-5)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4 = -1. Let l be -1*(-2)\/4 + g\/2. Solve l = -3*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 849382 and 352811?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28143, 27864, 27445, 26892, 26211, 25408, 24489?\n\"Answer: f**3 - 76*f**2 - 58*f + 28276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 356\/(-130)*1 - (4912\/52 - 94)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 320 (c) -733\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6204920987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8391\/2030 + -9\/145. Find the common denominator of x and -139\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 8*t**2 + t - 4. Let o be h(8). What is the tens digit of -3 - -1*o - -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**2 + 16*h**2 - 30*h**2 + 2*h**3 to the form f*h + c*h**3 + x*h**2 + g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767 and 936.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-68 + 80)*(0 - (-2)\/6). Solve -4*f - 6*j = -j - 15, -i*f - 2*j = -6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2 + 0*a - 3*a)*(-90*a**4 + 219*a**4 - 312*a**4).\nAnswer: 549*a**5 - 366*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -0.5, -1, -0.3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4 + (-5)\/(-4). What is the second derivative of 9 - 9 + 198*x - 35*x**2 + 192*x**j wrt x?\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)*1\/3. Suppose 10 = -2*b, -4*b - 21 = -4*p - x. Suppose p*n + 3 = 3*n. Sort n, 3, 2 in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 h, and 1 b when four letters picked without replacement from {h: 3, z: 2, j: 1, b: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/(g*g**(5\/4)))*g*g*g**3\/g assuming g is positive.\nAnswer: g**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aadaahehahahyaadd. Give prob of sequence hdyd.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-11))\/(9876\/(-289696))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2732229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -25*a**2 - 4755*a - 925. What is l(-190)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 118. Determine n(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638397?\nAnswer: 3, 7, 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g + 10 = -40*g. What is the remainder when 1 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125579 = -5*l + w, 2*l = -4*w - 26743 + 77001. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 - 10*k - 11. Let r be p(-7). Let d = -36 - r. Let y be (-6)\/24 + 1 - d\/4. Solve -2*l = 3*c + 10, y = 2*l - 7*l + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ormlorojoo. Give prob of sequence or.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + 3*c**3 + (2*c**3 + c**3 - 2*c**3)*(0 - 2 + 4) + 1 - 1 - c**3 + 222 - 14*c**3 - 222 + 1 - 1 + 2*c**3)*(-5 + c + 5)*(3*c + 1 - 1).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-245 - -258) + 5 + (-7 - -11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -29. Let c(y) = 2025*y**2 - 4*y + 9. Let l be c(k). Suppose 2*q = -2*q - 3*z + l, -5*q - 5*z + 124010 = 0. Round q to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9 + 3. What is the highest common divisor of 22 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -0.2\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 957819?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/5)\/(-2*2\/(-1228)). Let n = -187 + f. What is the greatest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16 + 2 + w + 10. Is g(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*(-130)\/975\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(6 + (-13)\/2). Put 318, 4, s, -5 in ascending order.\nAnswer: -5, s, 4, 318","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39063670\/3 or 13021224?\nAnswer: 39063670\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1683063865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - 4*x)*(-4*x + x + x) + (2*x - 2*x + x)*(3*x - 4*x - x) - x + x - x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74491 - 8.\nAnswer: -74499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-245135.\nAnswer: 514783.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 72*b + 1030. Let s be o(52). Suppose -4*n - 9 = -n. Put 0, -5, n, s in decreasing order.\nAnswer: 0, n, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) 2\/5 (d) -2\/19 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 157.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (191 - (2 + -5))*(-80 + 30 + -7). Is -11059 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24188*42.7.\nAnswer: 1032827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 4 - (4 + 22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvieeeqqeeqve. Give prob of picking 2 r and 1 q.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -4 (b) 62 (c) 3 (d) -1 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2890.8 + 2763.8. Which is the closest to -1? (a) 1 (b) 0.2 (c) w (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-2)\/(-21))\/(36\/8*2\/(-24))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/8 + 5*i**3\/6 + 8*i**2. Let h be k(2). Which is greater: -9\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-5 + 20)) + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 2*c + 0*c**2 - 4 + 4*c**2. Let l be r(-3). Find the common denominator of (l\/(-22))\/((-3)\/9) and -21\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + q + 0*q)*(q**2 - 2*q**2 + 0*q**2)*(9*q + 332 - 325 + 8*q) in the form m + l*q**3 + p*q**4 + h*q**2 + f*q and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*n + 5*f - 266, 0 = 2*n - 6*n - n + 4*f - 5*f + 40 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.57 and -340946030992.3.\nAnswer: -340946030992.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*h - 5, -3*d + d + 4 = h. Let y = h + 0. Suppose y*g - 4 = 3*m - 31, 5*m - 67 = -4*g. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let b(c) = -3*c**2 + c**2 - 16*c**2. Calculate i(b(s)).\nAnswer: 648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 2*f + 0*f**2 - 5*f + f**2 in the form x*f + w + c*f**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3997676 and 4807.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -393, -882, -1565, -2442?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.64, -1\/3, 37 in increasing order.\nAnswer: -2.64, -1\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 51*n**2 - 122*n - 86. Give a(-23).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 154301937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/17808404 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnmi when four letters picked without replacement from mjgijivjinnjj.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let c = -250 - -248. What is the hundreds digit of (-2)\/(0 + c)*(16 + 463)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/3 + 1736\/24. What is the highest common divisor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/7 and 59\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, r: 9}. What is prob of picking 3 w and 1 r?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 5. Let p be y(-4). Let k = -2 - p. What is the units digit of (-1)\/(k*2\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422201002 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 467372*s - 467373.\nAnswer: (s - 1)*(s + 467373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 601021 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 2*f = -10*i + 1, 3*i = 5*f + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 + j**2 + 3*j + 2. Let c be y(3). Find the first derivative of c + u**4 + u**4 + 2 wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670967\/128 + -5242. Find the common denominator of f and 175\/150*(-214)\/(-28).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042.569028 minus -19?\nAnswer: -5023.569028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435893 - 435866.5859. Let r = k + -26.4. Round r to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11514 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*((-504)\/27)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*x + 2*x - 22*x - 17 wrt x?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 < -45367\/190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119208*p**3*t**5 + 6*p**3*t**3 + 13456*p**3 + 4*p**2*t**2 + 4*p**2*t - 2*p*t**2 wrt t?\nAnswer: 7152480*p**3*t**2 + 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b - 11. Determine c(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -4 + 16 + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-35)\/3 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4079, -8155, -12231, -16307?\nAnswer: -20383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -506.729 - -507. Round x to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 558, 365, 12, -549, -1366, -2487, -3960?\nAnswer: -5833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110869773 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 + 1 = 0. Suppose -212 = u*p - 5*p. Suppose 3*c = 23 + p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 276684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 583 - 578. What is the nearest to -2\/3 in 9, 0.2, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let u(c) be the first derivative of 97*c**2 - 18960 + 19148 + 4*c**2 + 4*c**2. Determine g(u(f)).\nAnswer: -420*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.88 and -1645237140.\nAnswer: -1645237155.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/148133 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-26))\/((-76)\/(-16))*(-8)\/(-32)*24?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 2*r + 5. Let n be p(2). Suppose 5*a - 3*y + 1 = 0, 1 - 3 = -y. Calculate the highest common factor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -3068?\nAnswer: -306c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 s, and 1 k when four letters picked without replacement from kskkkkxkkkkkkkxkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 32. Let a(y) = -2*y**2 - 26*y + 13. Calculate the remainder when c is divided by a(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288951 divided by -3\nAnswer: 96317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1322950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(121) - sqrt(121))*-6)\/(sqrt(891) - -2*sqrt(891)).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 9:14 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 498, 6217, 21718, 51891, 101626, 175813, 279342, 417103?\n\"Answer: 815*t**3 + t**2 + 11*t - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17407 - -17420. Solve -i*j + 14*j = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.5, -12, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61826359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 378044279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16073*d**4 + 24*d**3 - 8046*d**4 - 8036*d**4 - 71 - 29 + 16*d + 2*d**2 wrt d.\nAnswer: -216*d + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:45 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o**3 + 6*o - 22. Let m(g) = -28*g**3 - 17*g + 66. Calculate 17*d(p) + 6*m(p).\nAnswer: 2*p**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99793?\nAnswer: 99793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721 by -4.\nAnswer: -721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7808 or -3\/3196?\nAnswer: -3\/3196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = 271*w - 266*w + 19, 5*n + w + w = 67 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(171) - (sqrt(171) + sqrt(171)*1 + sqrt(171))) + sqrt(171))*6)\/(sqrt(45)\/(sqrt(5) - (sqrt(5) + (-3*sqrt(5) - sqrt(5))))*6))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 17 = -20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -13*r**6\/30 - r**5\/60 - r**4\/24 - r**3\/6 - 5*r**2. Let g be a(-1). Let u = 74 - g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 3, o: 1, b: 4}. Give prob of picking 2 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1.1 (c) -3 (d) 11\/3 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3780)\/(-42)*((-17)\/(-3))\/17?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 8 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*x + 8391 - 8398 = 0, -5*h + 4*x - 41 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 25. Let u = -4 + q. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 139 - 449 = 0. Let n = z - 66. Let j(l) = -l**3 - 5*l**2 - 5*l - 2. Let o be j(n). Solve -2*u - 8 + o = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let u(j) = -5*j**3 + 3. Let h(k) = k**3 + 2*k**2 - 4*k + 5. Let l be h(-3). Suppose 0 = 16*x + l + 8. Give x*u(y) + 3*a(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*k - 39320 = -484*k + 662*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let d be (1\/3)\/(m\/(-24)). Suppose 0 = z - d*z + 15. Solve -3 = -3*r - v, v + 2 = -4*r + z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Let r = o - -3. Which is the second biggest value? (a) r (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72974?\nAnswer: 2, 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -147.2. Let q = 27 - c. Is -0.04 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/((-16)\/(-32))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + 161. What is the nearest to y in -0.5, -2, 45?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 967207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.468 - -0.44. Let k = m - 2.972. Which is the nearest to k? (a) 0.4 (b) -0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-80)\/(-4)))\/(30\/(-16))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12258 = 13*f + 9*f - 12324 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3049*x - 192 = 3081*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2212 in -46, -1\/12, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 3:16 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 8. Suppose v - 68 = -3*f, 5*v + 6*f - 3*f = 280. Suppose 0 = 4*w - k - v, -3*w - 2*w + r*k = -58. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h - 1. Suppose 2 - 1 = k. Let l be c(k). Let a = -9 + l. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 109*p**2 + 191*p - 5. Calculate c(-3).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*b + 131 + 16, 3*b = -5*j + 77. Suppose 0 = l + 2 - 4. Suppose l*q + 0*q = 16. Calculate the remainder when b is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0*(-3)\/(-24). Let p = 150 - 1052\/7. Let f = 2 - 1.9. Which is the second biggest value? (a) p (b) x (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m - 30, 2*d = -4*m + 26. What is the greatest common factor of 207 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 70. Suppose 229 = u*l - 90. Suppose 3*f = 4*y - f + 16, 0 = -4*y - 5*f + l. Solve 4 = -5*d - y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3365 (base 11) to base 4\nAnswer: 1011023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3546 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*s**3 - 107480690*s**2 - 412574969742816*s - 117878554009728 = 0. What is s?\nAnswer: -7677192, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 94 = 5*b, 3*b - 59 - 3 = -5*j. Solve 0 = -4*z - 3*a + 8, -5*z + b = 2*a + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313357?\nAnswer: 11, 61, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1778 - 1578.1778. Let u = -1578.02003 - w. Let a = -0.02 - u. Round a to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 7}. Give prob of picking 3 e and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46\/7817 + -9941890\/226693. Which is smaller: c or -43?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394311730.\nAnswer: 2, 5, 3461, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:43 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 98, 112, 142, 194, 274?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37373 - -37373.0054606. What is y rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6*p + 7. Let f be n(5). Sort 15, 2\/7, 1\/3, f in increasing order.\nAnswer: 2\/7, 1\/3, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.5, -1\/2, 2\/7, -1\/6, 18 in descending order.\nAnswer: 18, 2\/7, -1\/6, -1\/2, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -1\/12*g**4 + 1\/2*g**2 + 0*g**3 + 0 + 1\/2*g**5 - 2*g. Determine y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -112?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 1\/5 (c) 0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {k: 5, d: 2, g: 2, a: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 21*i + 177)*(-i - 1 + 1).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwkg when four letters picked without replacement from kwgsksskkkvkk?\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 353?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 175835 - 5?\nAnswer: 175830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 + 381. Let r be (2\/6)\/(12\/b). What is the third derivative of -c**3 + 7*c**2 + 9*c**4 + r*c**3 - 7*c**3 wrt c?\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from izhihhzizthhzzhzi?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 456\/(-8)*(-1)\/3. Suppose t*w + 16 = 23*w. Solve -w*s - o = -4, 4*s = 3*o - 4 + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -16. Let n(t) = -t + 12. Let a be n(h). Solve -2 = f - a*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-20) - 2)*-25. Let k be (0 - 2)*1 - -5. Solve n - d*i + 21 + 0 = 0, k*n - 5*i = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360414999 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*x = 10 - 26, -3*x = -2*c + 6. Let h be (7 - 13)\/(c\/(-4)). Suppose -g = h - 1. Put -4, g, 1 in decreasing order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 5*u - 5*i, 0*u + 4*i - 292 = -4*u. Let g be (2\/(-4))\/(2\/u). Which is smaller: -19 or g?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -2 - (-7 + 3). Suppose 4*y + 2 = -14, -y - h = 2*j. Suppose 0*i + j*i**2 + 2\/3*i**3 + 2\/3*i**4 + 0 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 182646.0193 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0785 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 138 = 5*n + 48, 3*s + n = 73. What is the remainder when s is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 - 63525*c**4 - 1269863*c**3 + 15050005*c**2 - 43182936*c + 29466320 = 0.\nAnswer: -63505, -29, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67, -73\/7, 0.2?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9354539 + 18134539. What is v rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, 2*g - 2*p + 7 = -p. Let d(b) be the second derivative of -3*b**5\/4 - 5*b**4\/6 - 5*b**3\/6 - 5*b**2\/2 - b. Is d(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713893?\nAnswer: 3, 719, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1443, -1, 2, 3, -17, 4, -4 in decreasing order.\nAnswer: 1443, 4, 3, 2, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/(g**25*g))\/(g*g\/(g\/(g*g*g**(2\/11)))*g**(-24)) assuming g is positive.\nAnswer: g**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4349 (base 12) in base 6?\nAnswer: 54133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3876 = -918*u - 263 + 59 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*w + 24, 5*s + 4175*w - 4172*w = 64 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*c**3 - 318*c**3 + 175*c**3 + 75*c**3.\nAnswer: 55*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152077*k**2*q**4 + k**2*q**3 - 22*k**2*q - 6*q + 197 wrt q.\nAnswer: 1824924*k**2*q**2 + 6*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 113*q**2\/3 - 647*q\/3 - 535\/3.\nAnswer: -(q + 1)*(q + 5)*(q + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 2*r - 1 + 3*r**2 + 8 - 5*r. Let l be w(-5). Let c = l - 8. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) + 10\/3. Suppose -b = -5*l + 2*l. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -459, -446, -417, -366, -287, -174?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -66. Let w = b - -73. Let s(i) = i + 10. Let a be s(-6). Calculate the highest common divisor of w and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 436698.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(7344))\/((sqrt(12) - 2*sqrt(108)) + sqrt(12)) + -4.\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43237\/16800 + -477\/175. Find the common denominator of a and -49\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 - 19*c - 12. Let u be h(9). Let m be 17\/u - (-542)\/12. What is the greatest common divisor of 405 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 24. Is 285\/j - 6\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s - 1. Suppose -3*m = 34 + 8. Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 134\/(-18) - (-315)\/(-189) - (-20)\/2. Let -q - 4\/9*k**2 - 4\/3*k = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 72*p**2 - 10636*p + 48627. Calculate h(143).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 p when three letters picked without replacement from {p: 2, d: 1, e: 4, f: 2, w: 7, n: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 12.1. Let a = 49 + -33. Let m be (-5)\/15*-9*(-2)\/a. What is the nearest to 0 in m, j, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - (1 + 3)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864771647.\nAnswer: 3, 61, 10190009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.14 + -0.32. Let t = o + 0.08. Let s = t - 1.2. Which is the smallest value? (a) 4 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1 + 2)**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2780729 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1746 = -3*a + 108. What is the greatest common factor of 18 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 27. Let h be i(-17). Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*o + 3 - 148*o + 2)*(-1 + 1 - o**2) to q*o**2 + j*o + t + u*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*977600\nAnswer: -97760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.075 + -0.075. Suppose 18*p = -2 - 88. Sort -0.3, -1, p, b in decreasing order.\nAnswer: b, -0.3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297228 and 31434?\nAnswer: 50231532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 7852.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5322100 (base 6) to base 7.\nAnswer: 2131023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 13 = -3*j + 6*m, 5*j + 41 = -3*m. Let l(x) = x**3 + 7*x**2 + x - 1. Calculate l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w + 20. Let c(j) = 1. Calculate -20*c(h) + d(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8268 rounded to one decimal place?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -24. Let x be 2\/(-8) - 21\/(-4). Solve 3*a - 6 = h*d, -4*d - d - 30 = x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 2. Let t be (-12)\/(-24) - (-2)\/(-4). Let u be n(t). Let v be (u + -1)\/(2\/50). Solve w = 6*w + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 215\/563?\nAnswer: 215\/563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*(-140)\/(-150)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 29612?\nAnswer: 15\/29612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-10) - 28\/(-70). Let y = 2 - q. Solve -2*i + y*i - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:19 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a - 1. Let j(y) = 2*y. Determine i(j(z)).\nAnswer: -22*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.84 - 68.34. Let k(n) = n**3 - 8*n**2 + 8*n - 5. Let l be k(7). What is the fourth smallest value in 2\/9, -6, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**5 - 156*m**4 + 324*m**3 - 164*m**2 = 0.\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let f(s) = 20*s - 9. Let i(m) be the third derivative of 5*m**4\/12 - 5*m**3\/6 - 34*m**2. Let v(k) = 3*f(k) - 5*i(k). Determine v(z(a)).\nAnswer: 10*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137.9 + -140.9. Let k = -4 - -3. Let v = -6 + 10. What is the biggest value in k, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/49 - (-23)\/7. Let k(f) = -2*f**2 + 4*f - 2. Let s(o) = -5*o**2 + 11*o - 5. Determine t*s(y) - 8*k(y).\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-2 - 2 + 10)*(55*r - 272 + 272)*(-2*r + 2*r**3 + 2*r) - r**4 + 0*r**2 + 0*r**2 - 2*r**4 + r**4 - r**4 + (1 + 4 - 4)*(r - r + r**4).\nAnswer: 1318*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1191*z**3 + 2973*z**3 - 876*z**3 + 1411*z**2 wrt z.\nAnswer: 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33625 or -33628?\nAnswer: -33628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3292 + -3233.98. Let n = -58 + z. Let i = -5.02 + n. Sort -1\/4, i, 15 in decreasing order.\nAnswer: 15, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3774258*c + 1 - 3774258*c - 32*c**3.\nAnswer: -32*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*l = 12, 5 = -3*k - l - 11. Let r be (-1 - (-2)\/1)\/k. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -446 - -614. Calculate the highest common divisor of 192 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/(-10))\/(2\/680). Let f be 4\/10 + p\/20. What is the highest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182 + -160. Calculate the lowest common multiple of p and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*k*w**3 - 115579*k*w**2 + 3*k*w + 29526418*w**3 + 5 wrt k.\nAnswer: 127*w**3 - 115579*w**2 + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -1\/6, 0.2, -2.5, -8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323 to the nearest ten.\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*i + 7, -5*a + 4*a - 24 = -4*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410410 (base 6) in base 12?\nAnswer: 16a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17371?\nAnswer: 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3610 and 21\/26353.\nAnswer: 263530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730.66611 milliseconds in weeks?\nAnswer: 0.000011128746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 + 285. Suppose o*q - 68*q = -5012. What are the prime factors of q?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698414 divided by 9761?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*c*g**3*i**2 - 3093355*c*g**3*i - 2*c*g**2*i**2 - c*g - 84*g**2*i**2 + 11371*g wrt g?\nAnswer: 324*c*i**2 - 18560130*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12993, 12995, 12997, 12999, 13001?\nAnswer: 13003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -36. Let p = 37 - m. Differentiate p*c**2 - 3 + 1 + 14*c**2 + 21 with respect to c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 1. Let z(l) = -4*l. Let r(h) = -6*m(h) + 7*z(h). Let f be r(5). Find d, given that 3*d**5 - d + 8*d**2 + 18*d**3 + f*d + 12*d**4 + 4*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41740635 divided by -5?\nAnswer: 8348127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + (-16)\/154. Let t = 20391 + -20391. Suppose -y*j**2 + 0*j + t = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.4 or -1?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1.04. Let j = 118 + -119. What is the closest to j in 0.5, z, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 52, 60, 68, 76?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309000*n**3 + 0 - 1308998*n**3 + 0.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = -5. Which is the smallest value? (a) 0.4 (b) 5 (c) 113 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1aa9 + -1a?\nAnswer: 1a8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21061 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 - 4484*f + 49566 = 0.\nAnswer: -2253, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 + 207*f**2 + 11764*f - 106848 = 0. What is f?\nAnswer: -53, 8, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10653*d**5 - 4*d**3 - 2725*d**2 + 123.\nAnswer: 639180*d**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2\/2 - 163707*u\/2 - 81855 = 0.\nAnswer: -1, 54570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/18 - 326\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w**3 - 2*w**2 - 249*w + 1160. Give p(5).\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3744 and 3744.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 8. Let n be a(-4). Let i = 6 - 3. Let h = n + i. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - -1.99. Let u be 67\/402*-5*15\/50. What is the closest to b in 5\/6, u, -2\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let p = u - 8. Let w = 3\/8 + -1\/24. What is the nearest to w in -2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15703994 divided by -2?\nAnswer: 7851997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34320 divided by 66.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28\/9 (b) -2\/101 (c) -642 (d) 5 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let j(m) be the first derivative of -m**5\/30 - 2*m**4\/3 + 2*m**2 + 4*m - 68. Let h(d) be the second derivative of j(d). Give r(h(w)).\nAnswer: 4*w**2 + 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-4)*1*101 and (0 - -1 - 8\/10) + (-55142)\/11060?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4, 0.11 in decreasing order.\nAnswer: 5, 4, 0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 (base 8) in base 16?\nAnswer: -11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3 + 3*d**2 + 3 - 7 - 2*d. List the prime factors of y(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 77 = -4*l - 0*i, 4*l - 4*i = 92. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from crdji.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 276413 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13646 = -17*s + 13*s + 3*l, s = 3*l + 3416. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15819835 to the nearest integer?\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -79. Suppose -v = -j - j. What are the prime factors of 5*3*22\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 3, -4, -1, 38 in descending order.\nAnswer: 38, 3, -1, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3853615.\nAnswer: 5, 547, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 137760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1814 + 1763.55. Let r = 51 + b. What is r rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*q**3 - 4*q*z**2 - 21*z**2 - 7 with respect to q.\nAnswer: 69*q**2 - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 38*m - 45 = 0. Let n(t) = t**3 - 2*t**2 + 4*t + 3. Let v(y) = 3*y**2 - y - 2. Calculate the least common multiple of n(m) and v(3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 173. Let r be f(-40). Solve 20 + r*l**3 - 3*l**3 - 40*l + 4*l**2 + 7*l**2 + 4*l**2 - 5*l**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 96*y**2 - 36*y + 12. Does 10 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 2*x - x)*(-7 + 7 - 4*x) - 3*x**2 - 1 - x**2 + 2*x**2 to the form w + z*x**2 + a*x and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19634 is divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4587 - 0.6387. Which is the closest to 1\/2? (a) 1\/11 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11427 - 8313*y - 11417 + 22844 as l + f*y and give f.\nAnswer: -8313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 265723*z + 253418 wrt z.\nAnswer: 265723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 4. Suppose -n + 6 = -2*n. Let s be x(n). Find the second derivative of s*p + 7*p**4 + 2*p**4 + 0*p wrt p.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + 1062. Suppose -z = -4*k + 4*l, 2*l + 1381 = 3*k + 2*k. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 37. Which is the fourth biggest value? (a) -1 (b) j (c) 5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-89)\/(-45) + 10\/(-50). Suppose 7*r - 4 = 3*r. Is r < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -94. Let h(t) be the second derivative of -2*t**3\/3 + 13*t**2\/2 - 2*t - 1. What is h(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose v = y*v + 5*h - 2, 0 = 2*v - 5*h - 4. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjoogoogoogqogo. Give prob of picking 2 g and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u + 18*u + 2 - 405*u**3 - 58*u**3.\nAnswer: -463*u**3 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12453, -24903, -37353, -49803, -62253?\nAnswer: -74703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/361 + -12365\/4693. Calculate the common denominator of v and -47\/42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - j**3 + 0 + 1)*(373 - 8*j - 373).\nAnswer: 16*j**4 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 7. Let w be b(12). Let u(m) = 15*m - 5. Let z be u(w). What is the tens digit of (-36)\/(-30)*z\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15220108 (base 9) in base 10?\nAnswer: 7571483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (303 - 292) + -1 + (-7)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-390) - (-53)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.624046 * 36\nAnswer: -22.465656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200101 (base 6) to base 16.\nAnswer: 3ce5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 6*b - b + 13 - 10. Let q(v) = 4*v + 14. Let z(k) = 3*q(k) - 14*y(k). Let p(g) = g**2. What is p(z(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -47?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4841325 decades?\nAnswer: 4.841325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 20 = 0. Let x be 6\/h + (-1)\/2. What is the third biggest value in 2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3 - ((1 - 5) + 2). Let i be 6 + 40\/(-6) + (-2)\/f. Solve i = -4*o - 2*h, o + 18 = 5*h - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 2. Let r(q) = -8*q - 36. Determine y(r(a)).\nAnswer: 24*a + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 623449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -654911 (base 11) in base 9?\nAnswer: -1863671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/719 smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aat when three letters picked without replacement from aytaayyt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -514 * 0.5.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/421 + 2496\/2105. Suppose -9*g = -12*g - 3*c + 6, 0 = 3*g + 5*c - 10. Suppose -z*i**2 + g*i + 0 + 3\/5*i**3 = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -890*z - 2678. Calculate n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9558 and 143370.\nAnswer: 143370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyct when four letters picked without replacement from jtcccljjltyj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72796 - 34332 - 34176)*(-w - w + 3*w) to the form g + h*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/(13\/(195\/18))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -35 + 5 + 70?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8850\/2478*70\/25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. What is the closest to c in -2\/17, -0.4, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8921*q + 20260 = -13986*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 942*i**3*t**3 - 2*i**3*t**2 - 6*i**3*t + 9485*i**2*t**4 - 37647*i - 55 wrt t.\nAnswer: 5652*i**3 + 227640*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/40728763 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejy. What is prob of picking 1 y and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58257514700 rounded to the nearest 1000000?\nAnswer: 58258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*16\/(-12))\/(56\/(-98)) - 3. Let z(t) = t**2 - 4*t - 7. Let c(y) = 2*y**2 - 7*y - 15. Let v(g) = 4*c(g) - 9*z(g). Determine v(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*l - 19 - 5 = 0, 4*x + 4*l - 8 = 0. Suppose -5*s - 9 = -x*s. Calculate the common denominator of -61\/2 and (-32)\/5*(-10)\/s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*p - 3 + 0 + 2 + 486*p.\nAnswer: 737*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451 + 453 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -28*x - 10. Suppose v = -k - 6, 0 = -21*v + 23*v - 5*k + 19. Let a(f) = -19*f - 7. Give v*a(t) + 5*r(t).\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(6*(sqrt(117) - sqrt(117)*2)*-2 - 4*(4 + sqrt(117) + 1 - sqrt(117))))**2.\nAnswer: -1080*sqrt(13) + 17073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o - 3*o)*(-1 + 0 + 3) + (121 - 26 - 50)*(0 + 0 - 2*o) + (4*o - 2*o - o)*(4 - 3 - 2) - o - 4*o + 3*o.\nAnswer: -97*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133119271.\nAnswer: 3, 1493, 476249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*n, -3*n - 41 = 9*k - n + 6 - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -624 - 0?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {f: 1, t: 1, l: 2, o: 2, h: 1, p: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-1*1147\/999)\/((-113)\/1017)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46641420 divided by 1828\nAnswer: 25515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -643?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + c8?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2552 and 1856.\nAnswer: 20416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78730 divided by -15746.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345984984 and 1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55252.\nAnswer: 2, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492.99 - -1856. What is o rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.91997 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + -1*sqrt(1008) + sqrt(1008))) + sqrt(1008))\/(sqrt(4) + sqrt(400)*1)*5.\nAnswer: 30*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/z**(-4)*z)))\/z**4)\/(z**(1\/13)*z*(z\/z**(2\/11)*z)\/z*z))**(2\/7) assuming z is positive.\nAnswer: z**(-256\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106776 or 106801?\nAnswer: 106801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Calculate the remainder when 6 is divided by q - -2 - 1\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*c**2 + 216*c**2 - 68*c**2 - 76*c**2 + 4*c + 10*c**4 - c**3 in the form n*c**3 + v*c**2 + b*c**4 + s*c + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1 = -10*b + 8*b, 0 = -b - 9*l + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**2*o**3*p + d**2*o*p**3 - d**2*o*p**2 - 4*d*o**3*p + 29*o**3*p**3 wrt p.\nAnswer: 6*d**2*o + 174*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 + 44?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l**5\/3 - 947*l**4\/6 + 925*l**3\/6 + 22*l**2\/3 = 0.\nAnswer: -44, -1\/22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 72449?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:34 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 42 = -0*q + 5*a, -2*a = 4*q - 96. Let t(f) = 4*f**2 + 30*f - 66. Calculate the least common multiple of q and t(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153300 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13+1886318101024.6\nAnswer: 1886318101037.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 4. Let u be w(-2). Let g = 7 + u. Is 39 + 0 + 1\/g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbuummmhuppmm. What is prob of sequence hub?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 70, 4, -4, -22, 0 in decreasing order.\nAnswer: 70, 4, 1, 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1015*q**4 + 8*q**3 + 102*q**2 - 706.\nAnswer: -24360*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93 - 1065d?\nAnswer: -105aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 17*u + 27. Let i be u\/6*10\/3. Suppose i*g - g = 124. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8607405 and 10065?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 206.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 - 7*y**2 - 2*y**2 + 19*y**2. Let i(j) = 45*j. Give i(q(t)).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Let j be ((-3)\/(-6) - n)*0. Suppose -3*c - 17 = q, 3*q - 6*q = -5*c - 5. What is the nearest to 0 in j, q, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*s + 1491 - 1487, 0 = 4*n - 5*s + 12 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p. Suppose w + 2*w = p. Let i(z) = z - 2. Let q be i(6). Solve m - 3*m - q = w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261503587 to the nearest integer?\nAnswer: 35518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-60)\/(-15)*-281. Suppose 2*t - x = 4*y, -174 = 3*t - 2*y - 1029. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**15\/v))\/(v*v\/v**(-3\/19)))\/(v**(-2\/19)\/v)**(-50))**(-1\/35) assuming v is positive.\nAnswer: v**(1338\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*y + 5*r + 5 - 10 = -353*y, 17*y + 15 = 5*r - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(4\/7)\/l*l)))**(-9))**(-1\/7)\/(((l**(-8)*l)\/l**(-4\/9))\/((l**(-7)*l)\/(l*l\/(l\/(l*l**(-8)))))) assuming l is positive.\nAnswer: l**(3782\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o + 1. Let x(m) = 2*m - 6. Let r be x(-5). Let j = r + 19. Suppose 2 = l - j*l. Determine h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhymhfyyhnnmhvhvyv. Give prob of picking 2 m, 1 f, and 1 n.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + p - 56 + 13 = 0, 3*p = -6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2*r**2 + 1072. Let f(n) = -100*n. Calculate v(f(p)).\nAnswer: -400*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/3 (c) -1534 (d) 0.3 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**5 + 108*v**4 - 296*v**3 + 192*v**2 = 0?\nAnswer: 0, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -23*c - 65*c + 1122 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-36)*(-43)\/((-3612)\/(-63)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 19*m**2 + 82.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l**2 - 865*l + 1291. Determine u(48).\nAnswer: 1243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 142*b - 23 = -155*b + 292*b, 5*r + 17 = -3*b for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603294300.\nAnswer: 2, 3, 5, 7, 17, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(2)*-1) + sqrt(40))\/(sqrt(72) - (1*sqrt(72) - sqrt(72) - sqrt(72))) - (-3*(sqrt(180) + -1) - (sqrt(180) + 5 + -2*sqrt(180))).\nAnswer: 2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i**2 + 11*i**2 - 8*i + 5*i**2 + 4. What is h(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-6)*(-1 - -1). Suppose 2*l = 3*n - 0*n - 15, -4*n + 3*l + 21 = z. Suppose -n*x + 3*p = -p - 1, -4*p - 4 = 0. Does -2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 3*b + 0*b + 3*b - b + (0 + 2*b + 0)*(2 - 3 + 3) + 31*b - 49*b - 92*b)*(-3*b**2 + 5*b**2 - 3*b**2).\nAnswer: 103*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 + 1 + 2) - (4018 - 4009)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c74168 + 0?\nAnswer: 6c74168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prpp. What is prob of sequence rp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467059 is divided by 1770?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 1072330245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1))**(-30)\/(f\/f**(-1)*f)**(-2) assuming f is positive.\nAnswer: f**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1180 (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*o + 228*o = 90. Calculate the remainder when 21 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3, 3*s - 4*u - 20 = 18. What is the greatest common factor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009849 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-159)\/212*4*-1. Let y(u) = 10*u - 14. Let g be y(q). Solve 0 = 16*b - 20*b + g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 235*s**2 + 353*s**2 - 622*s**2. Let j(y) = 4*y**2 - 2*y**2 - y**2. What is t(j(i))?\nAnswer: -34*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -18 - 39. Let x = p + 3. Let v = -9 - x. Solve 5*g - v = 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 4*k - k**2 - 2*k - 8*k - 8*k + 22*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (661*2\/(-6))\/(((-50)\/12)\/25). Put -5, c, -2\/7 in decreasing order.\nAnswer: c, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*2)\/sqrt(2).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110816 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -188, -398, -616, -848, -1100?\n\"Answer: -g**3 + 2*g**2 - 209*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dae when three letters picked without replacement from edea?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f - 18 = 82*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -176649.1 to the nearest 1000.\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from xxpvvxvv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1922 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022302882 to 7 decimal places.\nAnswer: -0.0022303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54.803 and 366.15?\nAnswer: 420.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10011, -19967, -29889, -39783, -49655, -59511, -69357, -79199?\n\"Answer: -a**3 + 23*a**2 - 10018*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1130 - -2189. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**1))**(-7)*(r\/r**(-1\/2))\/(r\/((r*r\/(r\/r**(-8)))\/r*r))*((r**4\/r)\/r*r**(-8))\/(r*r\/((r**(-2\/27)*r)\/r)*r**(1\/4)) assuming r is positive.\nAnswer: r**(-845\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -1) + -4 - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-314527376)\/(-7) + (-2)\/7. Suppose -d = -4*d + o. Let z = 6777494 - d. Round z to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/(-6))\/((-5)\/15). Let b = y - 11. Solve 0*p - 5*p - 15 = b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/9 - 8*m**2\/9 + 20*m\/3 + 16.\nAnswer: -4*(m - 4)*(m + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*k**3 + 99*k**3 + 6 - k + 100*k**3 to the form d*k**3 + m*k + b + z*k**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*q - 4, -3*f - 7 = q + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 723, -3 in decreasing order.\nAnswer: 723, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 148192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*k**2 - 2*k + 330?\nAnswer: 116*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v - 1. Let m(f) = -107*f - 41. What is m(k) + 5*u(k)?\nAnswer: -17*k - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -6 (c) 1332\/17 (d) 2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0.09 (b) -2\/13 (c) 0.4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttfttftwte.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.1132 litres?\nAnswer: 21113.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -2. Let v be 0 + (h\/(-35112))\/(-5). Let y = 684689\/58520 + v. Find the common denominator of y and 47\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1549112 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 3*c**2 - 4*c + 14. Let s(p) = -2*p**2 + 3*p - 13. Suppose 0 = -2*v + 4, 76*u - 73*u + 4 = -v. What is u*m(z) - 3*s(z)?\nAnswer: -2*z**3 - z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/308 - 155\/693. Find the common denominator of n and 1\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65512, -7, -2 in descending order.\nAnswer: 65512, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3 = 2*p + 7, 4*n + 2 = -2*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 10770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17135 (base 9) to base 11.\nAnswer: -8937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 343.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*v - 363 = 136*k + 277*v + 3676 - 211, 5*v - 36 = 2*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3*n - 2*n - 3*n)*(4 - 4 + 1) - n - n + 7*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 211, 223, 235, 247, 259, 271?\n\"Answer: 12*l + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaddj. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 56*r + 995. What is u(24)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 5*o + 6. Let d be v(-3). Let q = d + 10. Solve -q*w = 10 + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 8211.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 38. Let t = 654\/5 - 8532\/65. Let w = -11\/52 - t. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24894173 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5 + 3*f + 16*f + 2*f. Let w = 159 + -155. Is v(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 228, 522, 934, 1464, 2112?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + 0 + sqrt(68))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*q - 83 - 67 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 320*u + 42 - 16 - 12 - 12 in the form b + t*u and give t.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Factor -t**4 - 135*t**3 + 133*t**3 - 3*t**4 - y*t**5.\nAnswer: -2*t**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 36. Let l be 3*((-20)\/3)\/1. What is the remainder when 17 is divided by j(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 + 20 = -p. What is the tens digit of ((-1)\/(-2))\/((-8)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19a42 - -11?\nAnswer: 19a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:15 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/480 - 91*a**4\/48 - 61*a**3\/4 + 9*a**2 + 9*a. Factor l(m).\nAnswer: (m - 366)*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 94, -0.2, 0.5, -3 in increasing order.\nAnswer: -3, -0.2, 0.5, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - (-65 + 45)) + 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383646, -767712, -1151778, -1535844, -1919910?\nAnswer: -2303976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -44364*s - 354908. Calculate m(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.92. Let b = -0.1 + v. Let r = 16.5 - 16.5. What is the closest to r in b, 2, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*u**2 + u - 3*u + 4*u**2)*(2 - 3 + 2 - 5 + 3 + 4 + (-1 + 3 + 0)*(-5 - 1 + 5) - 3 + 0 + 5) to the form z*u + n + d*u**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 18 (c) 7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(-76)*-10 + (-42)\/(-4). Suppose 52 = -155*j + 159*j. What is the greatest common divisor of h and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-573)\/28 + (-26)\/91. Let n = l - 15\/4. Calculate the common denominator of n and -99\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -401912 = -6028691\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 79*n + 472. Let l be y(-6). What is the fourth biggest value in -4, -2\/9, l, 2\/3, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 188323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 38112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Solve s = u - w*u + 4, 3*s + 5*u = 22 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979*w - 225 = 970*w. What is the smallest common multiple of w and 35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 9*h**2\/4 - 5*h - 3.\nAnswer: -(h + 1)*(h + 2)*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14442000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.1185.\nAnswer: -0.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1 + 437\/(-414)*-18?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 35*f**4\/24 - f**3\/6 - 12*f**2. Let a be s(-1). What is the common denominator of 84\/28 + (-182)\/a and 49\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 0\/(-4 - -2 - -1). Suppose -2*w - 5 = 4*c + 7, c = -2*w + 3. Suppose -w = -5*a - 2*r, 3*r - r = -k. Solve 0 = -a*y + 2 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 9*o + 666 = 0. Let w = o - 24. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 7*c + 11. Let u be q(8). What is the units digit of 9 - ((1 - u) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saisisiisxxissxis. Give prob of sequence xxx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -74 - 7*j + 150 - 64. Let t(l) = 6*l - 11. Determine 4*s(p) + 5*t(p).\nAnswer: 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.196 and 2.38.\nAnswer: 0.46648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j + 3. Calculate the remainder when 42 + (-2)\/((-1)\/1) is divided by m(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 2*b + 6. Let k(m) = 0*m + 16*m**2 + 5*m - 13 - 13*m**2 + 6*m**2. Give 3*k(c) + 7*z(c).\nAnswer: -c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -198864.53.\nAnswer: -198864.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31217 and 824733.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -4, -3 in descending order.\nAnswer: -0.4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((23973\/610)\/131)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*a**(-2\/5))\/a)\/a))**(1\/6))**(2\/13) assuming a is positive.\nAnswer: a**(4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4\/5 + 43194*g**3\/5 - 4832517*g**2\/5 - 14799864*g\/5 - 9924156\/5 = 0. What is g?\nAnswer: -14509, -2, -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293\/3 - -99. Let n(p) be the first derivative of -p - i*p**3 + 0*p**2 - 2. Differentiate n(w) with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111201221 - -2022?\nAnswer: 22111211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 50193462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 79 = 3. Solve 0 = -3*a + g - 2, w = -a - 5*g - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v - 3. Let s(o) = o**2 + 32*o - 13. Let p(h) = 9*j(h) - 2*s(h). What is p(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**3 + 11*z**2 - 11*z + 11. Suppose 15*q - 22 = 34 + 4. Let t = -135 + 91. Let s(o) = o**3 + o**2 - o + 1. Give q*r(a) + t*s(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = -5*x. Let u = 2479 + -24839\/10. What is the common denominator of u and (-1)\/9*242\/x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 37756 - 75535 + 37766 - q. Calculate y(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/903927?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2777 is divided by 575.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:34 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 3673646.181.\nAnswer: -3673634.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -49 - 66. Let i(r) = 5 + b*r**2 - 3 - 3*r**2 - r**2. Let n(o) = o**2 + o + 2. Determine 3*i(a) - 2*n(a).\nAnswer: a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from hmqxxhhthmxmh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 100237.\nAnswer: 8\/100237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 887469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.1 and -43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 5)*(-1 - 3 + 2 + 4 - 2 - 4 + (2 + 2 - 2)*(2 - 2 - 1))*(31*o - 35 + 35) to the form h*o + b and give h.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4875*a - 34. Let v be w(-5). Let k = 6159 + v. Round k to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1) - (18 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1473 or -1469?\nAnswer: -1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6283 is divided by 1252.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 + 324 = 93*w - 81*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3425*l**3 - 245*l**2 + 2403599*l wrt l.\nAnswer: -20550*l - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/21*(3 + (-3 - -7)). Calculate the highest common factor of v and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176177*k**6 - 16*k**5 - 44760*k**2 - 125*k wrt k?\nAnswer: -21141240*k**3 - 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -j - 8*u + 6*u, 2*j + u - 70 = 0. Which is bigger: j or 31?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362\/10 - 16596\/(-9220)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 3*g**3 + 8*g - 5*g + 2*g**3 - 6 as t*g + b + d*g**2 + r*g**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -13 in descending order.\nAnswer: 2, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.004 and -3782618.\nAnswer: -3782618.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 94*t - 987. Calculate h(82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*h - 5505, 0 = 2*a - a + 5*h - 5535. Suppose 6*f - 18*f - a = 0. Let v = 694 + f. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1017.\nAnswer: 2\/1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -37. Let k(h) be the third derivative of 0 + 1\/20*h**5 + 0*h**3 + 0*h - 1\/6*h**4 + 2*h**2. Let f(v) = 5*v**2 - 7*v. Give j*k(o) + 4*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5415676464 - 688*m**2 - 5415676464.\nAnswer: -688*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -162, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*6\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478183841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let c(k) = 85587687*k. Determine c(n(r)).\nAnswer: 171175374*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n**3 - 5*n**2. Let z(a) = -a**3 + a**2. Determine v(f) + 5*z(f).\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -631.9 plus -165.2?\nAnswer: -797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*a + 2*y, -5*a + 3*y + 23 = -0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4. Suppose 3*w - 12 = 0, 3*i + 2*w + 5 = 19. Let n(t) = t**i + t**2 - 7 - t**2. Give 7*a(g) - 4*n(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 1649. Let n(r) = -38769*r**2. Calculate p(n(h)).\nAnswer: -77538*h**2 - 1649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1400, 2791, 4170, 5531, 6868, 8175, 9446, 10675?\nAnswer: 11856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 1780.\nAnswer: 5\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247 - 237. Suppose 4*i + 21 = 2*q + i, 0 = -2*i - p. Solve -8 = -q*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(4\/(-6)). Let s = -4.82 + 0.12. Let c = s + 0.7. What is the third biggest value in -5, m, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 3*p - 8. Is 10 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -126*w + 337 + 831 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tko when three letters picked without replacement from {m: 2, k: 2, o: 4, i: 4, t: 1, c: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + -0.1. Let z = 0.7 - -2.3. Let d = 3 - z. What is the second smallest value in -2\/5, g, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217504, -434995, -652484, -869971, -1087456, -1304939, -1522420?\nAnswer: -1739899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442219 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 468.2 - 4\nAnswer: 464.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 f when four letters picked without replacement from oooooofooofo?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451744, 903484, 1355216, 1806934, 2258632?\nAnswer: 2710304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 133 and -55.402041.\nAnswer: 77.597959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299455652760877 - -299455667677223.2000107. Let r = q + -14916348. Let d = 1.8 + r. Round d to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21323 + 3?\nAnswer: -21320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*y + 158 = 0, -4 - 2 = 3*y. Let j be l\/357*(-2)\/4. Which is the smallest value? (a) 0.22 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*w + 240 = -0*w, -5*o + 3*w + 300 = 0. What is the units digit of o\/(-8)*(-3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j - 2*j**4 - 17*j**5 + 2*j**4 wrt j?\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 56*h**2 + 20*h + 256. Give p(19).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -10 - (-12 + -3)) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.6 - -19. Let q = -0.3 - -0.4. Let u = q - 0. What is the second smallest value in u, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 86?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**(2\/5))))**(-22)\/(u\/(u*u\/(u*(u\/((u*u**(1\/4)*u)\/u)*u)\/u)*u)*u\/(u\/((((u**(4\/5)\/u)\/u)\/u)\/u*u))))**32 assuming u is positive.\nAnswer: u**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -3*w + 6*w - g, -5*w + 5*g - 690 = 0. Let s = 153 + w. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -9*i + 11*i + 5*a, -6 = -2*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + 3*t**3 - 3*t - 7*t + 148*t**2 - 4*t**3 + 0*t as u + p*t**3 + j*t + k*t**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 575 = 136. Suppose 5*u - 2*u - q = 0. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1809.9 + 1810. Let o be ((-12)\/(-2))\/((-28)\/4). Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808855?\nAnswer: 5, 161771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 31 = -185 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169188 is divided by 798?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 3294*p**2 + 6576*p = 0. What is p?\nAnswer: 0, 2, 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2510 and 19908818?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (134 + -115 - 30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-23 - -14) + 1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -19 + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 2*j - 4. Let r be i(5). Suppose -4*y - 4*f - 12 = 0, -2*y = -3*y - 3*f - r. Sort y, 5, 3 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -5.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - 5*b**2 + 0*b**4 - 3*b**2 + 9*b - 7*b + 3*b**2 - 2 + b**4 as t*b + q*b**4 + j*b**2 + c + m*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48.82906 centuries?\nAnswer: 488.2906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43582552 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3 and -17\/41894?\nAnswer: 125682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*g + 9, -g = -3*g + 4*p. Let d be 1\/(-2)*(g - 0). Which is the closest to 0.1? (a) -4 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2296352*g**5 - 660770*g - 13.\nAnswer: -45927040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 23*g + 307496 = 0. Let l = g + -7265. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b710 + 12c8?\nAnswer: -a448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.36 + 1.66. Let z = k + 10. Let o be (6\/22)\/((-161)\/(-1771)). Which is the nearest to z? (a) 1\/5 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 + 453. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2 - 50*q**4 + 1 + 4 - 3 wrt q.\nAnswer: -1200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16817\/3980 - 184\/199. Find the common denominator of j and (-62)\/60*15\/(-10) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3\/5, 6\/5, 0.09.\nAnswer: -2\/3, 0.09, 3\/5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 2. Let n(a) = 26635*a + 2 - 26639*a + 0. What is 2*n(q) - 3*y(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218590 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l**2 - l**2 + 2*l**2 - l - 4 + 0*l**2. Suppose -4*k + 40 = 5*x, 3*x + 3*k - 37 = -2*k. Let y(s) = 1. What is x*y(b) + v(b)?\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1381*z - 10. Calculate g(1).\nAnswer: -1391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 12*z - 30. Determine l(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6037\/4 - 3019\/2. Which is the biggest value? (a) 2\/27 (b) -5 (c) z (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-5\/4)))\/(l\/((l\/(l\/(l*l**(-3\/5)*l*l)))\/l)))\/((l*l*l*l*l*l\/(l\/(l\/(l*(l*l**4*l*l)\/l))*l))\/l**(-4\/9)) assuming l is positive.\nAnswer: l**(127\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153353 - -213?\nAnswer: 154010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**9\/84 + 47*q**5\/120 - 5*q**3 + 9. Let g(f) be the third derivative of s(f). What is the second derivative of g(p) wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1998 - 1997. Sort 5, l, -5, -1.\nAnswer: -5, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*c + 6432, 10*x - 1608 = 9*x + c. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 444, -0.5, -0.139, 2 in ascending order.\nAnswer: -0.5, -0.139, 2, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) + sqrt(5500)*-4)*-6)\/(((2*sqrt(66) + sqrt(66))*1 + sqrt(66))\/sqrt(6)).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 10*z - 22. Let w be q(-12). Factor -130*v**2 + 4*v - 3*v**3 + 126*v**w + 0*v**3.\nAnswer: -v*(v + 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12448357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 380?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-88))\/((-2 - -1)\/14) - 25482\/(-16988).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1071 + 1211. What is the lowest common multiple of 28 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - ((6*(sqrt(200) - (sqrt(200) + -2*sqrt(200) - sqrt(200))) - sqrt(200)) + sqrt(200)))\/(-2*sqrt(484)))\/(-2*sqrt(1440)*1*-1).\nAnswer: 17*sqrt(5)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + sqrt(72)*4 + -4 + (-6*(sqrt(72) - (sqrt(72)*-1 - sqrt(72))) - (sqrt(72) - (-1 + sqrt(72) + sqrt(72)))*4))**2.\nAnswer: 360*sqrt(2) + 7209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.95173 + 26.\nAnswer: 6.04827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 12. Let z(m) be the second derivative of -m**5\/20 + m**4\/2 - m**2 - 68*m. Let c be z(3). Solve -v - c = -t*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-531)\/(-295)*(4\/(-15))\/(119\/350).\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 55. Suppose -3*n + l = 3*g - g, -2*g + 62 = 2*n. What is the greatest common divisor of 264 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:00 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 + -481.5. Let q = -74.5353 - w. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -21*j + 41. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -546626855 divided by -5?\nAnswer: 109325371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.22669 - -5.441. Let p = -0.782 - s. Round p to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/6301? (a) 0.2 (b) 10 (c) -3\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563040827?\nAnswer: 16529, 215563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2373 + 2373 + 753*w in the form v*w + b and give v.\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g - 1. Let x(k) = 7*k**2 + 12*k + 4. Let b(s) = 6*c(s) - x(s). Let z = -27 + 16. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 5. Let i = -10 + 15. Suppose 5*g - i = d + 14, -4*d = -g - 19. Let n(c) = 2*c - 3. Give d*l(k) + 10*n(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1987765 = 5*y + 12245, y = 3*n + 1499998. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -1. Let a be -3 + -2 - (21 - 26). Solve 2*x - d = -a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000772 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3760 + -3758. Let x = -4 - -6. Let s = x + 5. What is the lowest common multiple of s and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 188, 2, -4, 0.2, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 4*u + 4. Let c be a(-3). Suppose -6*w - 38 = -7*w - 5*i, 0 = w - i + 4. Solve -r + w*r = -c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 53?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:09 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.14 - -0.64. Which is the second smallest value? (a) h (b) -4 (c) -0.01 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (23 + 6 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283 and 624345261?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 = -h - 5*u + 433, -5*h - 32 = -3*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 (base 11) in base 8?\nAnswer: -1712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -2900, -4349?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -702 (c) 1 (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2. Let k be z(-2). Let w be (-8)\/k*(-51)\/12*5. Suppose -4*l - 5*j = -w, -4*j - 84 = -3*l - j. Solve 8*h - l = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 47 - -21) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11 and 71\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/64*16\/12. Let m = -5 - -9. Let l = 5 - m. Sort -5, -3, l, u.\nAnswer: -5, -3, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 smaller than 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let h = -23 + 27. Let d = -23 - -23.3. Which is the smallest value? (a) p (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(35)\/sqrt(5))**2 + 5)*3.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 2 (c) 3\/5 (d) 2\/31 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451382 = -11*s + 451514 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313630 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291477*x**3 - 162127*x**2 wrt x?\nAnswer: -1748862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 580 and 28884?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 1, h: 3, i: 1, a: 1, e: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97474078 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 + 146 = 4*p. Let z = p - 60. Solve -4*j = -j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102232 - -14?\nAnswer: -102214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 + 5 = 0. Let j = -2 + f. What is the third derivative of -o**3 + 3*o**3 + j*o**3 + 2*o**2 wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241\/1386 + -1\/126. Let m = 6.5 - 2.5. What is the closest to -0.1 in -0.3, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22212210 + -12?\nAnswer: 22212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234025 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: Suppose b - 3*b = -4*q + 20, 3*b - 10 = -2*q. Let z(i) = 3*i + 7. Calculate the remainder when 32 is divided by z(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25)\/(-36) - 9\/(-9) and -71\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 10955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*h - 5*h = -201, 0 = -p - 4*h - 29. Let v = 53 + p. What is the nearest to -0.08 in -0.5, v, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -304, -607, -910, -1213, -1516, -1819?\n\"Answer: -303*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0899 and -0.5.\nAnswer: 0.04495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11454199568+-9734\nAnswer: -11454209302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9498227 rounded to three decimal places?\nAnswer: 17.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-71*y + 21*y + 21*y) as t + q*y and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 13*q**2 - 7*q + 38. What is o(13)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/4)\/(38\/(-152)). Suppose 65 = t*n - 5. Solve -2*y + 3*d - 6 = -n*y, 2*y - 4*d + 26 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (5 + sqrt(19)*5))**2 + ((5 + sqrt(19) - sqrt(19)) + sqrt(19) + -2)**2 + -1.\nAnswer: 46*sqrt(19) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = -3*y. Let b = 21 - y. Let l(s) = -s**3 + 28*s**2 + 2. Let g be l(28). Solve -5*x + 21 = 3*u - b, -10 = -g*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7387787, -7387785, -7387781, -7387775?\n\"Answer: h**2 - h - 7387787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -3*(sqrt(156)*-4 - sqrt(156)))\/(3*sqrt(108)).\nAnswer: -14*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*o**3*v**3 - 3*o**3*v + o**2*v**2 - 2*v**4 wrt v?\nAnswer: -90*o**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 159124.43 to the nearest ten.\nAnswer: 159120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 4. Let r be a(1). Suppose 0 = -r*n - n - 3*z + 31, -5*n + 41 = 3*z. Differentiate n*d - 7*d + 0 - 6 wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, c: 11}. Give prob of picking 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 39*z**2 - 4*z + 113. What is the tens digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - n**2 + 103 - 51 + 6278*n - 51.\nAnswer: 3*n**2 + 6278*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 o when three letters picked without replacement from oombkkeb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**2 + 13*w**2 - 14*w**2 + (-2 - 2*w + 2)*(0*w - 15*w - w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let b be 38\/14 - 6\/(-21). Find the third derivative of -i + 8*i**2 + 11*i**b - a*i**3 + i wrt i.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-372)\/(-46) + -4 - (-13 - -17). Put -5, a, 5, -3\/4 in descending order.\nAnswer: 5, a, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 take away 16?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -453453110 rounded to the nearest 100000?\nAnswer: -453500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)\/d)**(-47)\/(d**6)**45 assuming d is positive.\nAnswer: d**(-1385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35195346 is divided by 6968?\nAnswer: 6946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*r + 24395 + 30042, 0 = r - 1. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let d(k) = -10*k + 1. Let j(c) = d(c) + 3*q(c). What are the prime factors of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (11 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -36a?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 + (6 - 3) + -24 + 12 + (-1 - -9).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 45 = -7*y. Let d(j) = -j**2 - 13*j - 5. What is the units digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2888\/15 + -846\/5. Let l = 87309 + -41122513\/471. Let b = l - 6017\/3768. Calculate the common denominator of d and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**16)\/x*x\/((((x*x**5)\/x*x)\/x)\/x*x))\/(x**(-7)*x*x**15) assuming x is positive.\nAnswer: x**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.1, 28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -739, -748, -751, -742, -715, -664, -583?\n\"Answer: r**3 - 3*r**2 - 7*r - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-2 - -8 - (151 - 154) - (38 + 7))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400\/77 + 54\/11. What is the nearest to 1\/4 in x, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*l + 5*l. Suppose 0 = l*f - 164 - 54. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 3. Let k be (4\/(-6))\/((-4)\/(-12)). Let y be v(k). Suppose -3*m + y = 2. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22923 and 1109643?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*a = x - 232, -2*a + 442 - 1919 = 27*x for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -8*m + 117. Calculate the remainder when (-3)\/81*-1977 - m\/(-9) is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.027, -5, -3\/14, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.03 - -0.07. Let u = -11.6 + 10. Let g = f + u. Which is the second biggest value? (a) -4 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(7\/4)\/o*o)**(-3) assuming o is positive.\nAnswer: o**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w**3 assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67431*t**2 + 23215*t**2 - 23 + 8 + 15.\nAnswer: -44216*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511479?\nAnswer: 503, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8303*c - 58081. Calculate o(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 2*p + 12, 24 = 4*c + 4*p. Let v = -29 + 50. Let k = -18 + v. Solve w = -k*r + 2*w, 3*w = c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1\/4, -0.1, -0.5 in descending order.\nAnswer: 1\/4, 2\/15, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(5*r + 0*r - r)*(-12 - 3*r + 12).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 + 37415*s + 14847 wrt s.\nAnswer: 3*s**2 + 37415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -94*b - 10. Let x(s) = 608*s + 64. Let t(i) = 32*m(i) + 5*x(i). Let n(o) = -3*o**2. Give t(n(p)).\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((7 - 2) + (-3 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -674878\nAnswer: 1\/674878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230203 (base 4) in base 8?\nAnswer: -25443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 + 5. Suppose -32*v = -35*v. Let l be m(v). Solve 5*k = 5*o - 3*o + l, -2*o + 4*k - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19459600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 divided by 4?\nAnswer: -333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*w - 5*b, 3*w + 55*b = 58*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 45 = -5*y. Suppose 0 = o + 3*k + 3, 4*o - k = 3*o + 5. Let l(b) = 2*b - 3 + y*b - o*b. Let t(n) = -n + 1. Determine 3*l(u) + 8*t(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 2*y**2 + 2*y**2)*(-1 - y - 5 - 2)*(-6 - 1 - 4).\nAnswer: -11*y**5 - 88*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10134 (base 5) in base 15?\nAnswer: -2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*((sqrt(425) - sqrt(425)*-3) + sqrt(425)))**2 - ((sqrt(425)*-2 + -4 - sqrt(425)) + -4).\nAnswer: 15*sqrt(17) + 170008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/7093 + 97658\/2915223. Find the common denominator of -83\/15 and w.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1550*j = -1723*j + 1211 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77, 322, 731, 1304, 2041, 2942, 4007?\n\"Answer: 82*z**2 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2536 and -35\/2126.\nAnswer: 2695768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*g + 5 - 11, -2*g = -6*f + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 4474 = -35*x + 8406. What is the smallest common multiple of x and 76?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o*o**4)**(1\/12)*(o**(-1))**(-10\/17)*((o\/(o\/o**1))\/o*o)**42 assuming o is positive.\nAnswer: o**(26353\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1557 at least as big as 15917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.3486537 rounded to 1 decimal place?\nAnswer: -72.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 1345?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 b when three letters picked without replacement from bsjsjsjb?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32 - 11)*(0 + -1). Let t(i) = -4*i + 7. Let g(z) = z - 2. Calculate v*g(w) - 6*t(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5 = 3*j. Let u be (-2)\/((-1)\/(-2)*(-2)\/j). Suppose 5*r + 645 = 4*a + a, -4*r = -u*a + 262. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.2. Let f = -139\/21 + 19\/3. Put -2\/3, k, f in decreasing order.\nAnswer: k, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 185*u**3 - 350*u**2.\nAnswer: -5*u**2*(u + 2)*(u + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmmmmmmmm. What is prob of sequence wmm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 28\/3*o**3 + 0 + 64*o - 13\/4*o**4 - 49\/4*o**2 - 1\/60*o**6 + 2\/5*o**5. Let w(i) = 0. What is i?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -389*z**3\/3 - 1037. Let j(r) = r**2. Determine t(j(h)).\nAnswer: -389*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3581 - 13837*w**2 + 10209*w**2 + 6738*w**2 wrt w.\nAnswer: 6220*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25677414*k**4 - 81871806 wrt k.\nAnswer: 102709656*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149319 and 706?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 4*r - 3*g, 0 = -r - 22*g + 24*g - 89. Let a be (-2 - 1232)*(-3)\/6. Suppose -6*p - a = -53. Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1000100001011011000100?\nAnswer: -1000100001011011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1. Let g(f) = -8*f + 3. Let j(p) = 17*p - 5. Let s(m) = -5*g(m) - 2*j(m). Let r(k) = -s(k) - 5*z(k). Let i(l) = 13*l. Calculate i(r(q)).\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 6. Let a be c(9). Is (25\/20)\/((-1)\/a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 3783. Give k(74).\nAnswer: 3561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.20871633 - -0.12.\nAnswer: -1.08871633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.7056903 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 2267.\nAnswer: -21\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(76)*-1 + sqrt(76))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -918*x + 490*x + 248*x to m + o*x and give o.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10232263, 20464587, 30696911?\nAnswer: 40929235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 157, 405, 887, 1681?\nAnswer: 2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 12*b + 19. Let y be u(4). Find x such that x**3 + 20*x - 6*x**2 - 8*x + 2*x**y - 9*x**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.3 (b) -4666\/53 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3\/8 - 72165*y**2\/8 - 36087*y - 72177\/2 = 0?\nAnswer: -2, 24059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:38 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3 - 5 + 1 + 122*a - 370*a. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292131 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/2 + 81141*u**3\/2 + 1584591*u**2 - 1625160*u = 0. Calculate u.\nAnswer: -40, 0, 1, 27086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + -0.08. Let w = y + 0.24. Which is the third smallest value? (a) w (b) 2\/9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2921.95 - 0.1394332.\nAnswer: -2922.0894332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 0, 4*f - 3*g = 113 + 702. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0200144 + 0.02. What is o rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 54 = -98 - 43 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (66\/18 - 3)*3. Suppose a - 33*w - 1926 = -36*w, s*w = -3*a + 5799. List the prime factors of a.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4063*m**4 + 49*m**3 - 1101892*m - 4?\nAnswer: -48756*m**2 + 294*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/5 or -1?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c - 21. Let y be l(6). Let r be (35\/y - 2)*(-1 - -10). What is the highest common factor of 12 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137\/4 + 1277\/36. Let s = w + -17\/36. Which is the third biggest value? (a) -1 (b) -0.17 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 75769*z - 151542.\nAnswer: (z - 2)*(z + 75771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/25*15\/6. Suppose -14 = -5*r - 0*r - 3*f, -4*r + f = -n. Let x be ((8 - 8)\/7)\/(-2 - 2). Solve r*a + a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(468))\/(sqrt(48)\/(sqrt(12)*-2)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 884586037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4321 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.13 - -0.07. Let r = a + -5.8. Let s = -4 - r. What is the third smallest value in -0.2, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/12 - 7*v**3\/9 + 14*v**2\/3 - 20*v\/3 + 482. Factor z(w).\nAnswer: -(w - 2)*(w - 1)*(w + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2 - o - 1. Let i be b(-1). Let x be ((-8)\/(-10))\/(4\/i). What is the second derivative of -5*d + 0*d**2 + 3*d - d**x + 2*d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 7201*d**2 + 43175*d + 35975.\nAnswer: (d + 1)*(d + 5)*(d + 7195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 + 223. Factor 22\/3*a - 4 + 2\/3*a**3 - u*a**2.\nAnswer: 2*(a - 3)*(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4.1, 0.2.\nAnswer: -5, -4.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 5033?\nAnswer: -5033.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 11*v = -76*v - 220 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263*u**4 + 357*u wrt u.\nAnswer: -3156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -1, 72, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 3*d - d + (17*d - 12 + 12)*(-45 - 158 + 107).\nAnswer: -1635*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 5. Let x(u) = 61*u**2 - 7*u + 3. Let k(h) = -20*h**2 + 2*h - 1. Let b(p) = -7*k(p) - 2*x(p). Calculate the remainder when b(1) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v**3\/9 - 38715*v**2 + 828656*v\/3 - 287644\/9 = 0.\nAnswer: -20546\/7, 2\/17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than 102\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 7 - 7)*(-4 + 1 - 1)*(2 - 2 - 1) in the form u + b*s and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3592260.4 (c) -0.1 (d) -5\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*-2*(-2*(3 + (sqrt(475)*-2 - sqrt(475))) + -2 + sqrt(475) + sqrt(475) + sqrt(475) + 0 + 2))**2.\nAnswer: -54000*sqrt(19) + 3851100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 209107*q - 120*q**4 - 209105*q - 302*q**4 + (4*q**3 - 4*q**3 + 2*q**3)*(1 - q - 1) - q**3 + q**3 + q**4.\nAnswer: -423*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 5, -175, -15 in descending order.\nAnswer: 5, -1, -2, -15, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.14515225 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 15*j**2 + 42*j**2 + 1373650*j - 5*j**4 - 2 - 1373650*j in the form d*j**4 + z*j + b*j**3 + r + m*j**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-14))\/((-7)\/(-49)). Suppose -2*x + n = -8 - 9, 0 = f*x - 3*n - 15. Find the common denominator of 19\/4 and (-226)\/x*12\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 + 11 = 0. Let n(c) = -783*c + 8660. Calculate the smallest common multiple of r and n(11).\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 132\/5*m - 2\/5*m**3 - 27\/5*m**2 + 101. Let i(u) = 0. What is u?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -278, -630, -1144, -1832, -2706, -3778, -5060?\n\"Answer: -2*v**3 - 63*v**2 + v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110680952 to the power of 1\/2, to the nearest integer?\nAnswer: 33327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.2. Let c(t) = -t**2 - 30*t - 56. Let f be c(-27). Let x be (30\/f)\/(1\/(-5)). What is the closest to v in x, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-28)*18 - (-12)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/26 - 4*g**3\/39 + 7*g**2\/13 - 8*g\/13 - 16. Let s(u) = 0. What is u?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 - -0.63. Let p = 17.66 - s. Let m = p - 18. Round m to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 30*z + 542. Let x be c(-18). Solve -8 = l - 5*v, 2*l - 12*v = -16*v - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111110 (base 2) to base 3\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -57*d + 270 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*t**2 + 3 - 1 - 9*t**2 in the form r*t**2 + k*t + s and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 255061365?\nAnswer: -255061361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22295 divided by -455\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 173.0306l?\nAnswer: 173030.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 68*g + 2578. Calculate k(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 4*k + 3. Suppose -u - 3*b = 62 - 64, 2*u - b = 11. Calculate z(u).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a**2 + 21*a**2 - 39*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -36*p. Let g(k) = -14 + 17 - 3 + 49*k**2 - 20*k**2. Give h(g(z)).\nAnswer: -1044*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11200220133 + -1?\nAnswer: 11200220132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 745150473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*z - 168, 2*n + 3*z + 363 = 63. Let k be 3*(6\/(-39) - 50\/n). Which is the nearest to -1? (a) -1 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (78170 + -5)\/1 + (-48)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10440*a**3 - 26616*a?\nAnswer: -62640*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2163 and 378?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 45 + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -0*r. Let a(o) = o**3 - 4*o**2 + 2*o - 2. Let h be a(r). Calculate the highest common factor of h and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -19 - 29 - -28\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 32*a + 40. Let n(l) = -1243*l + 3 + 2493*l - 1251*l + 2 - 6. Determine -80*n(c) - 2*z(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -95*w**8\/168 - w**6\/15 + w**5\/30 + 46*w**4 - 5*w**2 + 456. What is the third derivative of o(g) wrt g?\nAnswer: -11400*g**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/1 + -3 + (1 - 1). Let r(x) = x**2 - 46*x + 135. Let n be r(i). What is the third smallest value in n, -5, 1\/9, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257096\/5 or -4?\nAnswer: -257096\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8533 + 23275. Let g = -14682.33 + u. Let p = g - 59. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*u + 28 = 0, 29 = -3*v - 5*u + 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8 - 21\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/280 and 17\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 41735.708 to the nearest 100.\nAnswer: 41700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33678481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - 67)\/(-11*(-2)\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50801382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -8. Let x be ((-8)\/(-3) - 3)*t. Is 3\/x*19\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27dd50 (base 14) to base 11\nAnswer: 864a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319538179?\nAnswer: 3, 7, 110454199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -63, 1970, 43 in decreasing order.\nAnswer: 1970, 43, 2, 1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by 6.\nAnswer: 91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4176 is divided by 3250.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*x + 232*x + 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1647960*y**3 - 2*y**2 - 1281603*y wrt y.\nAnswer: 9887760*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3*x**2 - 17*q**3*x + 163*q**3 - 6*q**2*x + 75*q + 2*x**2 wrt q?\nAnswer: -6*x**2 - 102*x + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/7)\/(8\/(-28) + 0). Suppose -m*x - 113082 = -857076. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.349 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 707 and 139582?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - o + 1. Suppose 3*m + 12 = -m, 5*d + 3*m + 19 = 0. Let p be l(d). Is 2\/53 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/402 and 2\/675.\nAnswer: 90450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + -0.52. Let n = 16.74 - l. Let v = n - 12. Which is the biggest value? (a) v (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*(-30)\/1480*(-24)\/(-54).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828043 is divided by 1414017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -498 + 406158.5172.\nAnswer: 405660.5172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23180 and 7828?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608815, -4870397, -16437539, -38963017, -76099607?\nAnswer: -131500085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -16, -31, -50?\n\"Answer: -2*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101aa (base 11) in base 5?\nAnswer: 434012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 285302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 0, 0*b - 3*b = 2*o - 35. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:57 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.044 and -0.052.\nAnswer: 0.002288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(1 - 4 + 1)*((3 + 0 - 1)*(-3 + 3 - 1) - 2 + 3 + 0 + 1 + 1 - 3)*(-11*p - 100*p + 9*p).\nAnswer: -816*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) + 0 - 0. Let a be (2\/y)\/(30\/(-24)). Let t be ((-1)\/18)\/(((-60)\/18)\/10). What is the closest to -0.1 in t, -1, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, y: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3382 (b) 8 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 273 = -152 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 + 1\/9*n**3 + 1\/18*n**4 - 7\/24*n**5 + 4*n + 0*n**2. Factor o(m).\nAnswer: -m*(5*m - 2)*(7*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 3*o - 4. Let r(n) = -n + 9. Let c be r(5). Calculate the least common multiple of 1520\/76 - (-2 + 16) and i(c).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1035557, 1034853, 1034165, 1033499, 1032861, 1032257, 1031693, 1031175?\nAnswer: 1030709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4276, 1, -4, -2 in increasing order.\nAnswer: -4276, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.72 + 0.52. Which is the nearest to -0.1? (a) -4 (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*d - 6, -l + 4*d - 2 = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/s**(-5)))\/s*s))**(30\/7)\/(s**(-3\/4)\/s*s*s)**(1\/9) assuming s is positive.\nAnswer: s**(6473\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13640 - -722846\/53. Is i greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789 (base 12) to base 9\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let g(z) = 6*z. Let f(i) be the second derivative of 5*i**3\/6 - 7*i. Let v(o) = -6*f(o) + 7*g(o). What is v(l(n))?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 401, 429, 491, 599, 765, 1001, 1319?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20665 - 14556. List the prime factors of u.\nAnswer: 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111.349 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 93, 94, 115, 162, 241, 358, 519?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 284149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8223 or 13\/2228?\nAnswer: -8223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v\/(v\/((v*v*v**20*v*v)\/v)))*v))*v))\/v)\/v*v**(-5)\/v assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.7563 - 1515\nAnswer: -1511.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 167 = -36 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 7. Let d(m) = -17*m - 27. Let q(b) = -2*d(b) - 9*i(b). Let v(o) = 5*o + 18. Let p(n) = -7*q(n) - 3*v(n). Determine p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 25*s - 28. Let b be d(26). Let p(c) = -c**3 - c**2 + 11*c + 20. Let w be p(b). Factor -6\/5*h + 2\/5*h**w + 4\/5.\nAnswer: 2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u - 50*u = 0. Suppose -p + u - 2 = 0. Let a = 2 - 2. Sort 2, p, a in decreasing order.\nAnswer: 2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + 13. Suppose -t + s = -4. Factor 3*j + 12*j**2 + 0*j - t*j**2.\nAnswer: -3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.1, -0.32, 0.4, 2\/27, -211?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109702, -219402, -329102, -438802, -548502?\n\"Answer: -109700*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 57*k. Let n(d) = 884*d. Let s = -1961 - -1883. Give s*t(c) + 5*n(c).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 10*k = 8*k + 28, -3*a - 5*k = -31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 + 198. Suppose -3*h + 5*f = -260, 2*f + n - 313 = -3*h. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-6)\/(18 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -615918 - -225618. Round o to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.83 - 34.98. Let d = 30 + g. Which is bigger: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*w**4 - 2*w**3 - w**2 - 143?\nAnswer: -384*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7240*j + 9*j**3 - 14*j**3 - 7237*j + 14477*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -3\/8 (c) -2\/9 (d) -0.4 (e) 1\/172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 332. What is the common denominator of (d + 816\/(-162))*-75 and 5\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 3*g**2 + g + 2. Let y(n) = -2*n**2 + 4*n**2 - n**2 - 2*n**2. Let x(d) = c(d) - 2*y(d). Let j be (0\/10)\/(1 + 1). Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 4, -10, 2, -51, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 - 41 = -4*b. Suppose -5*o + k = 3*k - 74, 5*o - k - b = 0. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 + -3.03. Let y = l + 2.33. Let m = 1.7 - 0.7. Which is the closest to m? (a) 5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7. Let y be (-1)\/(-5) + ((-9)\/(-5) - l). Which is bigger: 23\/8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-437)\/483 - (-6)\/6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + n**3 - 2*n**3 + (-4*n**3 + 4*n**3 + 2*n**3)*(-1 + 1 - 1) + n**3 + 0*n**3 - 2*n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -1 - (21708\/180 + -31))*(-15)\/9.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4250 (base 6) to base 15.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 148\/(-333)*(1379\/280 - 5)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 187 = 181. Suppose -37*k = -f*k + 50121. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1018, 2046, 3076, 4108?\n\"Answer: k**2 + 1025*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2179100*d**2 + 9*d - 1822 wrt d.\nAnswer: 4358200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140029*r**2*u**2 - r + 3*u**2 - 9655*u + 7 wrt r?\nAnswer: 280058*r*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 - 4*p - 2. Let a be (1 + 0 - 2)*-5. Let d(m) = -m**2 + 5. Determine a*l(y) + 4*d(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 g when four letters picked without replacement from {h: 7, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 22 (b) -1 (c) 0.7 (d) 2.6 (e) 4\/5 (f) 3 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1096 - 1096.273. Round g to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/36*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360550 divided by -25?\nAnswer: -254422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 248 = -10*d. Find the common denominator of (-3)\/3 - 69\/d and 41\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 3*c + 6. Does 8 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/4)\/((-15)\/40). Suppose 0 = -n + k*n - 5. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2219*c - 4433. Give g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2\/((-2)\/1))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 18293, -1 in decreasing order.\nAnswer: 18293, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -561290*h**5 + 228*h**3 + 146903040*h**2 wrt h.\nAnswer: -33677400*h**2 + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 678828 - 678827.653351. Let a = u + -0.3446. Round a to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.482 - 0.518. What is the nearest to 0 in 0.4, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 323725250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 57 + 15. Suppose -4*k - 412 = -2*b, -2*b - 2*k = 3*k - 385. Let t = b + -188. Calculate the least common multiple of t and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 15714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**2 + 485 + 573*y**6 - 574*y**6 - 4*y**2 + y - 406*y**3 wrt y?\nAnswer: -120*y**3 - 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964151615.\nAnswer: 5, 7, 31, 127, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146909823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*8\/64*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(405) - (sqrt(405) + 3)) + sqrt(405) + 1 + -2)**2 + 4 + (sqrt(405) + -1 - sqrt(405)) + 1*(3 + sqrt(405)).\nAnswer: 27*sqrt(5) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7240370276 - -0.2.\nAnswer: -7240370275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7798)\/(-53900) + (-3)\/21. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + 2.6.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15735 + -15519. Calculate the highest common factor of 1863 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2159466.\nAnswer: 2, 3, 359911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -40*o + 422. Let z be b(11). Is 15 a factor of 440*-6*z\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c5071 (base 14) in base 5?\nAnswer: 110143221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1120*g**4 + g**3 - 11*g**2 + 801786*g wrt g?\nAnswer: -13440*g**2 + 6*g - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/6 + 3112*k**2. Let t(h) = h + 3. Calculate t(n(x)).\nAnswer: -4*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-3)\/((-18)\/(-10)). Let h = -28 + 31. Suppose h*n = -n + 8. What is the biggest value in q, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/6 (b) 0.3 (c) -2603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 49 = -10*t. Let p = 0 - 5. Let f(v) = -v**3 - 4*v**2 + 5*v + 1. Let b be f(p). Solve 5*z + b = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + 12 + -2 + -17 - 3 - -1) + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + (-527)\/558. What is the smallest value in -2.1, b, -1\/4, 1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 112*s**2 + 8*s - 16. Is 108 a factor of y(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6306503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let b = 7 - 5. Let t(n) = 0*n**2 + 2*n**2 - 4*n**b. Calculate f(t(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*m + 246*m - 1079 = 0. List the prime factors of m.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:47 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 11425.\nAnswer: 11424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/360 - x**5\/40 + x**4\/24 + 11*x**3\/2 - 35*x**2. Let o(v) be the first derivative of f(v). Determine o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5. Solve 2*y - 2*m + r + 9 = 0, 3*y + 18 = 4*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 1:23 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:37 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -641, 5\/4, 0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vppjvplpj. Give prob of sequence jlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6522? (a) -1 (b) 0.3 (c) 4 (d) -4 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1264, -1226, -1168, -1096, -1016, -934?\n\"Answer: -h**3 + 16*h**2 - 3*h - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -716 + 712. Let d(l) = l - 5. Let k be d(5). What is the smallest value in -26, m, k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.19, 15\/8, -12, -1, -0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216566 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 14 = -4*g + g, k + 11 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110001111001000101101 (base 2) to base 5\nAnswer: 404303421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -716364555 divided by -143272911?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1) - (-36 + 39). Solve -u - a*v = 6, v = 5*v + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79, -1018, -3565, -8524, -16699, -28894, -45913, -68560?\n\"Answer: -134*f**3 - f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 25*a**3 + 9*a**2 + 9*a + 20. Let v(t) = -6*t**3 - 2*t**2 - 2*t - 5. Let m(k) = -9*v(k) - 2*w(k). Differentiate m(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5077 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3104346.9 and -3.\nAnswer: 9313040.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 66. Let o be 1\/(-3) - -6*35\/(-18). Calculate l(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 298*k**3 - 55*k + 2 wrt k?\nAnswer: 1788*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/19356 and -31\/216.\nAnswer: 348408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 4*g - 2*d + 16 = -0*d, -5*d + 32 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*j = -7, 152*y = 155*y - 5*j - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l**(2\/33)\/l*l*l**(2\/17)*(l\/((l\/(l\/(l*l*l**3*l)))\/l))\/l assuming l is positive.\nAnswer: l**(-461\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15345 and 7161.\nAnswer: 107415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 8, g: 11, q: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425333953 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/28677)\/(828\/43608)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99)*-2)\/sqrt(9)*6 - (sqrt(704) + -1 + -1 - (3 + sqrt(704)*-1)))**2 + 5.\nAnswer: -168*sqrt(11) + 8638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 447*j - 433*j - 56. Solve 0 = k - j*l - 29, -3*k = 26*l - 29*l - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 7*m + 1. Let x be f(5). What is the units digit of (-24)\/x + (-8)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 24 - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.01, -10\/9, 1\/12, 0, -0.2?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2828690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13707?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88346 is divided by 10979?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4.2.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7465 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/5 + 1624\/1920*1 and 35\/66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 288, 431, 574, 717?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 633, 1368, 2109, 2856, 3609?\n\"Answer: 3*p**2 + 726*p - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*l + 1\/6*l**2 + 16\/3.\nAnswer: (l + 1)*(l + 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y**3 - 6140*y**2 + 131312*y + 33212.\nAnswer: 4*(y - 361)*(y - 23)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14069 = -5*v - 2*g, -3570 = v - 5*g - 740. Are v and -2816 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j + 6. Let d be q(4). Let g(l) = -l**2 + l. Let v(w) = w**2 - 16*w - 9*w + 1 + 25*w. Let b(f) = -2*g(f) + v(f). What is b(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/7)*f))\/f)**31\/(f\/f**(-1\/4))**(-14\/13) assuming f is positive.\nAnswer: f**(-7009\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292*i - 175*i + 1144*i)*(3*i + 4*i - 3*i)*(-3 + 4 - 2).\nAnswer: -5044*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/18200 and -27\/868.\nAnswer: 564200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367\/3 - 123. Let y(z) = z + 2. Let q be y(-4). Which is the closest to q? (a) 0.5 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 222 = 6*m. Suppose 0*t = 2*t + 4*h - 24, 4*t - m = h. Solve -t = 4*q + 5*w, -4*q - 10 = q - 4*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 0*s - 4*s)*(10*s - 8*s + 29*s) to the form i*s**2 + c + t*s and give i.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*t + 678 - 715 = 0, 3*i + 18 = t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63440510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**3 - v**2 + v + 1. Let o be 9\/(-6) - 2\/(-4). Determine k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 11*t + 9. Let o(w) = 4 + w**2 + 1494*w - 763*w - 736*w. What is 9*o(j) - 4*y(j)?\nAnswer: -3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -745 + 5641. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2877, -5, 0, 4 in ascending order.\nAnswer: -2877, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4076*m**3*y + m**3 + 351280*y with respect to m.\nAnswer: -12228*m**2*y + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 12*m - 87. What is the hundreds digit of l(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.2678225 rounded to one dp?\nAnswer: 593.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -76, -203, -428, -781, -1292?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619947649.\nAnswer: 619947649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*q + 12 = -4*y, 4*y = 3*q + 23. Let p = 1157 + -1153. Solve 0 = -2*x - y*m - 8, x + p*m + 12 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/6 + 335*j**2\/2 + 112225*j\/2 + 1057. Solve h(c) = 0 for c.\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 500*v - 2. Let s(w) = 5*w**2. Determine l(s(g)).\nAnswer: 2500*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4) + -1)*6. Let j be 1\/2*(5 - (-564)\/(-108)). What is the smallest value in j, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 37.65. Let y = 2.65 - c. Put -1\/2, -0.4, y in descending order.\nAnswer: y, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -126.777. Let y = n - -0.423. Is y at least 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 11*p**2 - 12*p - 10. Let c be a(-10). Solve c*f - 7 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 60 = -0*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*f - 241*f = -8. Solve c - 3 = -f*h, 4*c + 21 = c + 3*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-78))\/((-1)\/(-3)). Which is the nearest to g? (a) -0.3 (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43678579 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -595350 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.739 - -0.261. Let r be (-33)\/(-44) + (-2)\/4. Which is the closest to v? (a) r (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -9 + 24 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674200 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-2 + -2) - 3. Solve o*x + 3 = 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 50. What is the remainder when (0 + 2)\/(4\/22) is divided by 1 - (l - -3 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521 and 2023944.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 137\/10 (b) -3\/8 (c) -3\/13 (d) 1.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 680 = 1783 - 603 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 - 6*p + 7. Suppose -c + 4*r - 23 = 2*c, 2*r + 6 = -2*c. Give o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-2 + -1 + (-6 - 4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 23*s - 13. Give k(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8021 and 1642454?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*x - 762*x - 1979 = -14025 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 84.67. Let d = 0.403 + b. Is d at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 759, 1139?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491585 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 10*f + 4. Let x be d(5). Calculate the greatest common factor of x and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 310 + 50. Calculate the remainder when 558 is divided by f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 720*s**2 - 1 + 13*s**2 + 28*s + 0.\nAnswer: 733*s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**2 + 355*f - 180 = 0 for f.\nAnswer: -36, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2980438 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19934, -39935, -59934, -79931?\n\"Answer: a**2 - 20004*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 231102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.41113 millilitres in litres?\nAnswer: 0.02841113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(44\/(-4))\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = -60 + 258. What is the nearest to -19 in -2\/11, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/4 + 12\/16. Factor -10*z + 17*z - t + 4*z**2 - 3*z.\nAnswer: 4*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/6 - r. Let y(h) be the first derivative of -3*h**2 - 4. What is a(y(z))?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -221, -219, -217, -215, -213?\n\"Answer: 2*f - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203.9749 - 0.0251. Let j = 204.06 + c. Which is smaller: j or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(4*sqrt(200)*1*-3 + 3).\nAnswer: 1 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (395 - 19 + 950)*(2 + 4*l**3 - 3 - 5*l**3)*(0 + 2 - 3).\nAnswer: 1326*l**3 + 1326","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 827367.\nAnswer: 3309468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108039 + 199368. Let c = -54229 + y. What is c rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Suppose 3*s + s = u. Calculate the least common multiple of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-5.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20*y + 103. Calculate d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -18, -55, -110, -183?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 118372 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5154 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855931940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -17, -21, -27, -35, -45?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + -10 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - w + 3*w = 0, -w - 15 = -3*i. Let c(q) = -q + 6. Let o be c(i). Sort 1, o, -0.3.\nAnswer: -0.3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129285250 rounded to the nearest 100000?\nAnswer: 129300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32209215.999818 - 32209145. Let c = 71 - d. Round c to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113770 and -0.00694576.\nAnswer: 113769.99305424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333.18 - 0.42. Let m = -251 - z. Round m to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1992)\/6*(3\/(-10))\/((-3438)\/(-2865))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2611758 and 145\/246.\nAnswer: 107082078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-10)*120\/(-140)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 96*b**2 + 196*b - 4. Calculate t(98).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(-4*q**4 - 1 + 3*q**2 - 3*q**2) as k*q**3 + l*q + d*q**2 + x + m*q**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 + 1.02. What is c rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2. Let x = -45 + 45. Suppose 124 = 2*d - x*d. Let j(o) = -d + o + 62. What is j(b(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 5 - 5 + 5*o**3 - 86*o + 86*o + 4*o**3 - 3*o**3 + 0*o**3 + (6 - 3 - 1)*(0*o**3 + 3*o**3 - o**3) - 3*o**3 + 5*o**3 - 3*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17*i. Let d(t) = -3*t**2 - 2. Let r(s) = -4*s**2 - 3. Let w(k) = -3*d(k) + 2*r(k). Calculate x(w(h)).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 + 3*j**4\/5 - 22*j**3\/5 - 52*j**2\/5 + 72*j\/5 + 32 = 0. What is j?\nAnswer: -5, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 15. Suppose -v = 5*i - 14, -i + t*v - 5 - 13 = 0. Let q = 405 + -400. What is the remainder when q is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -1282, -2, 2 in decreasing order.\nAnswer: 2, 0, -2, -15, -1282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 57*l**2 - 104*l + 178. What is the hundreds digit of p(55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**8\/1680 + n**4\/4 + 2*n**3\/3 - 6*n**2. Let s(u) be the first derivative of t(u). Find the first derivative of s(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.71 + -0.21. Let i = -41.5 + t. Let d = 34.99974 + i. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52364.06 - -52951. Let o = n + -597. Let a = -10 - o. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73682 is divided by 36537?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 262469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -676 (b) -0.5 (c) 1\/7 (d) 0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 6, t: 5}. Give prob of picking 1 c and 2 b.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*j**2 + 3 + (-5*j**2 + 21*j**2 + 16*j**2)*(-2 - 1 + 12)*(-2 + 2 + 1).\nAnswer: 285*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 3*p - 1. Determine x(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-32)\/(-168))\/((21\/(-7))\/((-27)\/42))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235276619 - 0.06?\nAnswer: 3235276618.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 8. Let w be q(-6). Is 286 + (w - (-2 - -3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l - 8. Let m be -4 + l - -3 - -11. Is ((-69)\/m)\/(2\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(3\/24)\/((-36)\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5534.96776 - 1.26776. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 (base 16) in base 15?\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101100110 - 111011110?\nAnswer: 1001110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12030431 (base 7) to base 11\nAnswer: 66910a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -84638 + 84638 - 38*c. Let i(o) = 30*o**2. What is d(i(a))?\nAnswer: -1140*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 20*h**3 + 36*h**2 + 28*h + 8 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 7. What is the remainder when 50 is divided by m(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**3 - z**2 + z + 1. Let g = -19 - -18. Let j be c(g). Solve -a - 2*a = j, 5*q + 40 = -5*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349989.\nAnswer: 3, 116663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*k + 9*k. Let w be 10\/24 - 4\/6. Put w, k, 4 in increasing order.\nAnswer: k, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d8541 (base 14) in base 10?\nAnswer: 522397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1315 + -1186. What is the remainder when b is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*z + 1265 = 583*z - 92 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10821, -21655, -32499, -43359, -54241?\nAnswer: -65151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -957 - -1035. Let u(v) = 2*v + 6. Calculate the remainder when x is divided by u(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 1. Let i be x(-5). Suppose 0 = 8*b - i*b. Solve -4*a + m = -m + 4, 3*a - 2*m + 2 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145300 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11.12. Let s = 0.62 + g. Let m = 0.2 + -0.1. Which is the closest to m? (a) 0 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + -2.2. Let r = -6.3 - 0.2. Let m = r - k. Round m to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.7 + -14.7. Let a = 0.02 - -0.98. What is the second smallest value in a, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -18. Let d(z) = -3*z. Let q be d(h). Suppose -3*k = -6 - q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 8 = -30*w. Solve z = -3*u - w, 41 - 16 = -5*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2462? (a) -3\/4 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -307330\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4663 + 0?\nAnswer: 4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34225 is divided by 11405.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5458574347 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1472\/40*(1885\/52)\/29\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhuhvxuuvue. Give prob of picking 1 x, 1 h, and 1 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9*24\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2, 78, -636 in descending order.\nAnswer: 78, 2, -1, -2, -636","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 996, -0.17, -2\/29 in decreasing order.\nAnswer: 996, -2\/29, -0.17, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021 less than 4021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) + 6*(-7)\/(-910)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -45 (b) -0.1 (c) -3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 10}. Give prob of picking 2 w.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849 + 421 + 362 = 56*s - 5*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1323*u**4 - 26028828*u**3 + 28506306*u**2 - 2537820*u + 59019 = 0. What is u?\nAnswer: 1\/21, 1, 19673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**6*s - 5*a**4*s - 50*a**2*s - 2*a**2 wrt a?\nAnswer: -1200*a**3*s - 120*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 46, 92, 156, 238, 338, 456?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 + 8710*y**3 - 1072615*y**2 - 8997720*y - 18272880 = 0. What is y?\nAnswer: -1857, -4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**7*r*r)**21\/(r**10)**(-2\/21) assuming r is positive.\nAnswer: r**(4871\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = z - 104. Suppose t - 98 - z = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = 47. Calculate the lowest common multiple of 9 and p.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.52 - 100.48. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-7 - (-7 - -3 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 - 57*o + 39. Let t = 82 + -73. Let n be x(t). Solve -n + 36 = 6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 + -5 - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 155. Let g = q - -11. Let t = -81 + g. Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 7)*(u**2 - 2*u**3 - u**2)*(-u**2 - 2*u**2 - 4*u**2)*(-5 + 1 + 3).\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-5))\/((-5)\/(-25)). Suppose -5*m - 66 = -286. Calculate the remainder when m is divided by 282\/18 - (-4)\/f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 3, r: 4, n: 1}. Give prob of picking 1 r, 2 a, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16648 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21948339 divided by 7316113\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 30, -4*c - 132*u = -131*u + 78. What is the closest to -0.1 in 2\/19, c, 0.5, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -286*l**3 - 5*l**2 + 4*l + 4. Let x(f) = 280*f**3 + 6*f**2 - 5*f - 5. Give -5*g(o) - 4*x(o).\nAnswer: 310*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 6)*(7 - 7 + 53*d).\nAnswer: -477*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 712998 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -509 + 513. What is the second smallest value in g, 3, -2, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855 + 638 = -31*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -22 (b) 5 (c) -1250 (d) 19 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/(4095\/(-2205)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206198212 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 2. Let y be p(8). What is the highest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 8\/205541 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -1.3. Let o = t - -0.1. Sort -3\/8, o, -0.4 in decreasing order.\nAnswer: o, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290236 is divided by 48370.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6297, 0.1, -5, -0.3.\nAnswer: -5, -0.3, 0.1, 6297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566062\/296 - ((-10)\/(-32))\/(3\/(-12)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*j = 15, c = -5*j + 11 - 1. Suppose c = 6*x - 7. What is the units digit of (x\/3)\/((-2)\/(-111))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/30 - (-670)\/804.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/3 + 136*t\/3 - 2150\/3 = 0.\nAnswer: 25, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 24 + 4 + (-8 - -29) + 1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 3. Let u = -5 + 12. Let v = 6.7 - u. Which is the closest to y? (a) -5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/(-14) - (-2)\/4. Suppose -4*d - i*q = -24, -3*d + 2*q - 2 = -0*d. What is the smallest common multiple of 9 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-160)\/(-25))\/(12\/90). Let c = -57 + h. Sort 6, c, -4 in ascending order.\nAnswer: c, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -0.3, 2\/5, 17, 1\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3089 + -1327. Let p = 10459\/6 - g. Find the common denominator of (-2)\/7 + ((-3272)\/252)\/2 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 20*c - 8. Let g(j) be the first derivative of 21*j**2\/2 - 7*j + 27. Let l(d) = 4*g(d) - 3*t(d). What is the tens digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/3 (c) 5 (d) -8 (e) -26.6 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*f + 3597 - 3593, -f = 5*u + 19. Let z = -9 - 58. What is the third biggest value in 2\/5, z, f, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/13)*k)**(-23)\/((k**(-2\/15)*k)\/(k*k*(k\/k**(2\/39)*k)\/k)) assuming k is positive.\nAnswer: k**(-9254\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29850 by 5.\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*c + 12 = 0, -c = 4*i - 9*i + 22. Suppose i*x = -3*g + 124, 5*g - 80 = -3*x + 112. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3657 or 14?\nAnswer: 3657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-6) + 1 + 4\/(-3). Let k(a) = 263*a**3 - a**2 - 3*a + 4. Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288)\/(1*sqrt(576)) - 4*(sqrt(32) - (sqrt(32)*-1)**2)*4).\nAnswer: -635*sqrt(2)\/2 + 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + u - 1. Let q(c) = -727*c**2 + 21*c - 7. Let r(j) = -4*m(j) + q(j). Find the second derivative of r(v) wrt v.\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h**2 + 1046*h**2 + 305*h**2)*(3 + 1 - 2).\nAnswer: 2738*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 2*y**2 + y - 1. Let j(v) = 2 - 8 + 2*v**3 - v**2 + 4*v**2 + 6*v - 3*v**3. Let c be j(4). Let w be m(c). Solve 3*b - w = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -13*o + 18. Calculate the remainder when q(0) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51067 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1226743 and 6484213.\nAnswer: 45389491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 12, w: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 7 + 0)*(-12*i + 12*i - 39*i)*(-3*i - i + 2*i) to the form t*i**2 + p*i + a and give t.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 16 - 14 = c, 5*t - 40 = 5*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2272?\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 11:44 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-150))\/((-6)\/(-280)) and (8 + 301\/(-49))*(1 + (-221)\/(-850)).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + 4*v**2 + 8*v + 2. Let x be w(-7). Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 5*a)*(-2*a + 0*a + 6*a)*(5 + 0 - 4).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.1183 centuries to months.\nAnswer: 249741.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315647829 by 3.\nAnswer: -105215943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 3, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 3 - 17. Solve -3 = -o*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -208*g - 29. What is j(-1)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.31 (b) -2\/3 (c) 3\/8 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 47 + 10*d as k*d + h and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6370163 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, -43, -103, -165?\n\"Answer: -f**2 - 55*f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14963, 15339, 15715, 16091?\n\"Answer: 376*l + 14587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-247 + 122 + 5*m + 121)*(-3 + 3 + 2) + 6*m - 3*m - 25*m to the form k*m + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**11*a*a**21*((a\/(a\/(a*a\/(a*a**(14\/3)*a)*a*a)))\/a)\/(a**(-2\/49)\/a) assuming a is positive.\nAnswer: a**(1378\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:28 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 1. Let b = w - -7. Let p = b - -3. Solve p*t = 3 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d6e8 (base 15) to base 12\nAnswer: 2236b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*x + 2*x + 4*d, 0 = 2*x - 5*d + 15. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1242 + 838. Is -3\/2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + w = 122, -4*w - 2045 = 3*r - 2130. Solve -r*k - 43 = 143 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z - 5*o - 14, z - 14 = -4*o. Suppose -16*c + 520 = -z*c. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 42, 70, 120, 198, 310, 462, 660?\n\"Answer: t**3 + 2*t**2 - t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 1103700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*i + 19, 4*i - 14 = -3*v + 3*i. Calculate the least common multiple of v and (22\/6)\/(1\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*p + 395 = 0, 7*p + 395 = -5*i + 5*p. Suppose -248 = -3*v - 2*f, -3*v + 4*f = -f - 283. Let d = v + i. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2668*r - 10239 = -2235 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*s - 57*s - 17785. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - 38 - (14 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 292 + 105*n + 69*n**2 - 67*n**2 + 45*n = 0.\nAnswer: -73, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - 67?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -6*q**5 - 5\/6*q**6 - 21 - 35\/2*q**4 - 10*q - 45\/2*q**2 - 80\/3*q**3. What is y in v(y) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-5 - (-40)\/(-12)*3). Solve -21*f = -q*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2289101 milliseconds?\nAnswer: 0.0002289101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, l: 1}. Give prob of sequence cb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-240)\/3)\/(595\/(-84) - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 738621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 312\/(-15)*125\/(-10). What is the common denominator of -4*(-3)\/((-144)\/h) and 43\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/5)*p*p**3)\/(p**(1\/3)\/p)**(-3) assuming p is positive.\nAnswer: p**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*z - 14*z**2 + 34*z)*(2 - 3 + 0)*(3*z - 1 + 1 + (1 + 0 + 0)*(22*z + 9*z - 11*z)) to c + x*z**3 + o*z + b*z**2 and give x.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/11)*i)\/i**0*i**(-1)*((i*i**(-8\/7)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-221\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4\/15 (b) -4\/9 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**8\/n*n*(n*n\/(n\/n**(-8)))\/n)**(-29))**(-20))**(-5) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c*o**3 - 39*c*o*v + 2*c*v - 1858*c + 199272*o**3*v + 37*o**3 - 61*v wrt o.\nAnswer: -30*c*o + 1195632*o*v + 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(1\/3)*n))*n)\/n*n\/n**5*((n*n*n**0*n)\/n)**(-3\/2))**(-1\/67) assuming n is positive.\nAnswer: n**(17\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 + 32885. Let b = v - 423203\/13. Let r = b + -112. What is the biggest value in -3\/8, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0, 0.5, -3, 152210?\nAnswer: 152210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 38 = -2*z, -5*z = -10*z + 4*k - 67. Let g(c) = -c**3 - 15*c**2 - c - 15. Calculate g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 65 - -2491726\nAnswer: 2491791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 590 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11042, 11041, 11026, 10991, 10930, 10837, 10706?\n\"Answer: -p**3 - p**2 + 9*p + 11035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - 896\/90) + 149 + -141?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-2)*6\/15)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 9 - 15. Let n be ((-9)\/(-2))\/(18\/u). What are the prime factors of -4*n\/(-4)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + -0.2. Let v = w + 7. Let r be (-1*(2 + -1))\/((-3)\/(-15)). Which is the nearest to 1? (a) r (b) 4\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 5*p**5 + 4*p**5 + (1 - 1 - 2*p**4)*(-2*p + 2 - 2) + p**5 + p**3 - p**3 - 5*p**5 + 0*p**5 + 4*p**5 + (2*p**2 + p**2 - p**2)*(-1 + 2*p**3 + 1).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3211 (b) 66.2 (c) -0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/20 + q**4\/12 - q**2\/2 + q. Let v be g(2). Suppose -2484*p = -2463*p - 105. Solve 1 = p*u + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 4*h - 7. Let i be -6 - (11 + -3 + -17). What is z(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(1\/(-10)). Let g be (-1 - a)\/(0 + 1). Let k be 1*g\/(4\/9). Solve -k*h - 15 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20)*42*(-80)\/64)\/(15\/(-100)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32795?\nAnswer: 5, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*k + 2*k. Let h(g) = -319*g - 30887. Let a be h(-97). Calculate the highest common divisor of k and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1039.6456 from 0.7.\nAnswer: -1038.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.37187 and -3314.5494?\nAnswer: 3319.92127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128542 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l + 2*l**2 + 4*l**3 + 0 - 196*l + 3*l**3 + 196*l + 2 in the form k*l + z*l**3 + v*l**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59569 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 6*a + 2*a**3 - a + 16*a**3. What is the remainder when p(1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301198681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - (3 - (1 + 10)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 2*m + 946 = 4*m. What is the greatest common factor of 5461 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 4*i + 3*i in the form k + j*i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose -l = -t*l + 40. Calculate the smallest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 19 + 6 + 6 + 7 - 13*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2832*n**3 + 8051*n + 8919. Find the first derivative of g(c) wrt c.\nAnswer: 16992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7590360400 rounded to the nearest one million?\nAnswer: -7590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**3\/2 + 3*g**2\/2 - 34. Factor f(h).\nAnswer: 3*h*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151912560 rounded to the nearest 1000000?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 m when three letters picked without replacement from kehhehkkezkhm?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 6*f**2 + 3*f**3 + (2 - 2 - 2)*(-2*f**2 + 2*f**2 - 2*f**3) - 2*f**3 + 0 + 0)*(-2*f - 2*f + 9*f).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21 + 2*m + 0*m - 3*m. Let f = -101 - -112. Is 10 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981 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: Put -2\/5, -1, -69, -5 in ascending order.\nAnswer: -69, -5, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2071, -8333, -18781, -33415, -52235?\nAnswer: -75241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/10 + 30\/50. Suppose y*v = 180 + 65. Let p be 203\/v + 2\/(-14). Solve z - p = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3328.0003123 - 3328. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 232*s + 2305. What is t(-105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((5 + -1 + sqrt(1088))*-6)**2 - ((-3 + (sqrt(17) - (sqrt(17) + 3)) - sqrt(17))**2 - (2 + sqrt(272) - sqrt(272)))).\nAnswer: 11460*sqrt(17) + 198465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 2:27 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7)*-1 - sqrt(70)\/sqrt(160).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = 4*f, 3*f + 3 = -4*z - 3. Calculate the least common multiple of (-40)\/5*(f + 1) and -6*((-2)\/(-4) + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -1631 + 351. Suppose 0*f = 2*f - u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104961729.\nAnswer: 3, 34987243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 - 3*g - 3. Let r be v(-2). Let t(k) = -6*k + r*k + 5*k. Let j(f) = f - 4*f + f. What is j(t(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + b - 2*b + (-2 - 5 + 5 + (0 - 3 + 1)*(5 + 6 - 1))*(-2 - b + 9*b - 4*b).\nAnswer: -87*b + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83273 is divided by 120.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -10965*h**2 + 5290*h - 560 = 0.\nAnswer: 8\/51, 14\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 718789 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72275f + -6?\nAnswer: 722759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 69*d - 68*d = 3762, -6268 = -5*x - 2*d. What is the greatest common factor of 1413 and x?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1155 - 296. Suppose 2*m - 3*o = 228 + 109, 5*m = 2*o + a. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 185*f**2 - 57356096*f + 57356096*f.\nAnswer: -3*f**3 + 185*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/202675 and 167\/368242050?\nAnswer: 4050662550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25738222357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8823643221.\nAnswer: 3, 2941214407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -326c85?\nAnswer: 326c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2 + 10. Suppose 2*y + 3*u + 15 = 8, 2*y = -u - 5. Suppose -4*j = -2*d, 3*d - 4*d = -3*j - 1. Sort y, j, b in decreasing order.\nAnswer: j, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 4*l - 211, -192 = -4*l + 3*m. What is the least common multiple of l and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -544*z - z**2 + 544*z - 2 + 0*z**2 + z**3 in the form g*z**2 + h*z + u + r*z**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, l: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 251964?\nAnswer: 251964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.69 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Solve k = -4*l + 2 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 - 4 + 8*p**3 - 4 wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67\/15 - -19\/5. Let g = 12 + -13.9. Let p = -1.5 - g. What is the biggest value in p, 0.2, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 13*s - 4*s**2 - 320 + 71*s - 4*s.\nAnswer: -5*(s - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12317+-1\nAnswer: 12316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -o - 5*u, 2*o - u - 4 = -1. Solve o = 5*t - 3 - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280410 + -280410.2. Let w = 4 - 3.6. Which is the smallest value? (a) v (b) -30 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7645 + 7764. What is the remainder when 294 is divided by v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 - 2*m + 38. Let l be w(0). Solve 2*y - 4*r = -6*r + 4, -5*r = -2*y - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -1 (c) 2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 1. Let j be z(2). Suppose j*k = -5*c + 26, -3*c = c - 2*k - 12. Is -2*(2 - 414\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223058 is divided by 11152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**6\/180 + q**5\/15 - q**4 + 32*q**3\/3 - 2*q - 22. Let y(z) be the third derivative of r(z). Factor y(m).\nAnswer: 2*(m - 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 16*l + 128865. Let y = l - 20191. Round y to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7)**(5\/11)\/(i**(-7)\/i)**(21\/8) assuming i is positive.\nAnswer: i**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1924624 = -144*f - 64*f. Does 57 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 8*s + 40. Suppose 4 = 3*j - 8. Suppose j*l = 5*r + 23, 5*l - 12 - 23 = 5*r. Calculate the remainder when l is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 164682.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84 + 1?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*o + o. Suppose -o*l - 51 = -421. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:45 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30674249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roorroo. Give prob of picking 3 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9 - 21. Suppose 2*l - a = -2*t, -4*l + 0*t = -4*t + 4. Suppose l*x - 50 = 88. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8889011 + -0.7.\nAnswer: -8889011.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14301142 (base 5) to base 6\nAnswer: -3115124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 8 - (-6 - (-2 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76\/17 or 5?\nAnswer: 76\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17294b (base 12) in base 7?\nAnswer: 3250445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465206355 to the nearest integer?\nAnswer: 21569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 9*a**2 - 92*a - 307. What is u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) -0.5 (b) 0.2 (c) -269 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 190335 divided by -38067\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) 1.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34330, 68666, 103000, 137332, 171662, 205990, 240316?\nAnswer: 274640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2348, 11098, 19848, 28598, 37348, 46098?\n\"Answer: 8750*c - 6402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**2. Let x(a) = 96*a + 28. Let o be x(3). Let z(i) = -o*i + 154*i + 154*i. Give z(r(n)).\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597.24742 - -666?\nAnswer: -931.24742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 57443624.\nAnswer: 114887248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2 + 3*h - 3 + h. Let a(s) = s. Let g(f) = -2*a(f) + k(f). Let p(b) = 2*b + 16. Let z be p(-7). Determine g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*g - 0*q - 2*q, 4*q - 16 = 0. Find the third derivative of g*j**2 + 4*j**6 + 6*j**6 - 12*j**2 wrt j.\nAnswer: 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 - 0.1. Let s = 0.5 + 1.5. Let d = -3\/5 + 4\/5. What is the second smallest value in n, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30696.1506 rounded to the nearest one hundred?\nAnswer: -30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -130404232 (base 5) in base 7?\nAnswer: -5265153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3990?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127061 and 52753417?\nAnswer: 580287587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 1743 - 27*j + 1744 + 1746 - 5233.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 7904.\nAnswer: 55328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3 - 6. Let u be (-6)\/9 + (-8)\/6. Let s = w + u. Is s less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 0 = -5*k + 2*m - 3*m + 30. Suppose -219*n + 216*n = -30. Solve 4*q + n = -k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4206120835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49362, 98685, 148008, 197331, 246654?\n\"Answer: 49323*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042778781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139771919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from iuwuwiwuimumuii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - w. Let p be n(-1). Suppose 4*g + 3 = 5*u, -2*u - p = g - 2. Which is the closest to g? (a) 4 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -97. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(10\/(-75)). Suppose -x = b - 197, b + 128 = -k*x + 309. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*i + 6 = -1, -q - 5*i = 0. Sort 4, q, -5 in descending order.\nAnswer: q, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - 244*a**2 - 65*a - 609. Determine p(41).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*i - 5*a + 4 + 13, -10*i - 20 = 5*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let w = 94 + -92. Solve -3*k - w*q = 3, -k - 5*q = k + x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 - 0.04284797.\nAnswer: 307.95715203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1188*a**2 - 2138*a - 9. Let r(z) = 2376*z**2 - 4277*z - 15. Let w(f) = 5*b(f) - 3*r(f). Find the second derivative of w(i) wrt i.\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -2\/9 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/31 in 2\/9, 0.3, 15, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145\/7 or -22?\nAnswer: -145\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6251146 + -0.175137. Let q = -1.249 + 0.799. Let m = k + q. Round m to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.01249910816 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*r - 34, -9*g + r = -11*g + 46. Let y(z) = -z**2 + 7*z - 7. Let o be y(5). Solve 0 = 5*v + m + g, -2*v + 5*m = -o*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30 + -2)*(-3)\/4. Suppose 4*r = 136 + l. Suppose 0 = -s - 4*s - r. Is -7 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2093 + -2090. Solve 0 = -5*f - 2*j - 3, f + 12 = -4*j - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -840 - -856. What is the remainder when 27 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.9 - -60.9. Let i = w - 55. Which is the fourth smallest value? (a) -0.04 (b) 0.3 (c) -1\/9 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -2*w + 176. Which is smaller: 9\/67 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -2*p**2 + 0*p + 0 + 0*p**3 + 1\/6*p**4. What is a(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 2723, 6113, 10847, 16919, 24323?\nAnswer: 33053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0559 rounded to 2 decimal places?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050733052?\nAnswer: 2, 61, 4306283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14\/13 + 152\/117. Let w = 10389\/4 + -2598. Sort w, 3, y in ascending order.\nAnswer: w, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*x**2 - 23 + 12 + 11 to the form m + n*x + v*x**2 and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0417 and -0.05.\nAnswer: -0.002085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 421728 and 26358.\nAnswer: 421728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 2*x + 15675. Let z = 2108 + x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 - 6. Let i(b) = 15 + 22 - 32 + 3*b**2. Determine -4*c(l) - 5*i(l).\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llxt when four letters picked without replacement from {g: 1, t: 8, l: 3, z: 1, x: 4}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 11921 = 4699. What is q rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-18))\/11*9\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 44*q - 15*q - 20*q - 11*q. Let c(p) = -3 - 3*p + 3. Give c(s(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*m - 598 = 298 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*l + 1386*l + 99*l + 105609 = -252*l for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7 - 19 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 20. Give r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 125428.87 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 127*k + 0*k**2 + 69*k**3 + 67*k + 58*k as h*k**2 + y + a*k**3 + u*k and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, -1, -5\/3, 1\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 29. Let h be o(9). Suppose 0 = 4*g + h*x - 448, 6*g - 4*x = 2*g + 472. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -9. Does 7 divide 2\/(-3) - 59\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 10*q**2 - 14*q - 30. Let g be r(-11). Solve g*b = -0*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -8.8?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411805 divided by -5?\nAnswer: -1282361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*39.6.\nAnswer: 2296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104, -501, -1306, -2639, -4620, -7369?\n\"Answer: -20*d**3 - 84*d**2 - 5*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -0.4, 12, 1\/717, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-18)\/24*15\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3030, 6034, 9038, 12042, 15046, 18050?\nAnswer: 21054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/1)\/(-3))\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 3, e: 11, q: 2}. What is prob of sequence kq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -2 (d) 25.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6193 (b) -17\/3 (c) 2\/5 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 13 + 73490*c + 11 - 15322*c.\nAnswer: 58168*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((1 - -2) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 614 - 62?\nAnswer: 5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.38, 5, 1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 - x**3\/3 + x**2 + 97*x. Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**5 + 214494*g**2 + 1927*g - 148?\nAnswer: 140*g**3 + 428988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(-2 + 2*y + 2) + 7*y + 2 - 17*y + 5*y.\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 169233 minus -94?\nAnswer: 169327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 + 171. Let t be ((-4)\/8)\/(1\/(-4)). Suppose -3*w = -t*w - 6. What is the smallest common multiple of o and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2202)\/(-1835))\/(7\/(-5))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -244.07.\nAnswer: 244.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 33378*w**2\/11 - 500220*w\/11.\nAnswer: -2*w*(w + 15)*(w + 16674)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170311988*n - 573050450.\nAnswer: -170311988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**2 + 11*z**2 + 3*z**3 - z**4 + 0*z**4 as t*z**3 + y*z**4 + u*z**2 + g + r*z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3.7, 1, -2\/7 in ascending order.\nAnswer: -3.7, -2\/7, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1059520)\/13416)\/(-440)*((-8)\/(-7) - (-2)\/(-7)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -7)\/((-6)\/(-9)). What is the closest to -1\/4 in c, 0.09, 1\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-12) - (1 + 1))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16667899, -16667896, -16667893?\nAnswer: -16667890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3795 by 253.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from rffffffffffffrfffff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2064 + -13?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389592 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 17940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -31\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 37.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -22, -48, -82, -124, -174, -232?\n\"Answer: -4*l**2 - 6*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 34467242.\nAnswer: -34467241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3 - 3*g**2 - 1\/12*g**4 + g - 2. Let f(p) be the first derivative of c(p). Give f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*s - 14*s + 30*s + 9*s + 3*s + 2 to the form b*s + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -122. Suppose 2*h - t = 16 - 13, 4*t - x = -3*h. Let d(s) = -s**2 - 10*s. Let k be d(-10). Sort k, h, 4, 1 in descending order.\nAnswer: 4, h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6643781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/9)\/(-10) - (-6087)\/9. Let f = w + -674. Solve -3*q + 5*a - 7 = a, 6 = -f*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 558\/837 + 58\/3 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -8*h + 57. Let d = 18 - 10. Solve -d = -4*t + 4*n, 3*n + h = -2*t - 0*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*j**2 - 1113*j\/4 + 27\/4 = 0.\nAnswer: -1, 9\/380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 4, 2\/25, 0.18, -0.4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1841143kg to nanograms.\nAnswer: 184114300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*w + 20, 7*k - 2*k - w = -50. Let g be (4\/11)\/(k\/(-5)). Let p = -2.901 - -3.301. What is the third biggest value in p, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 3*k**2)*(-5*k**2 - k**2 - 7*k**2) + 5*k**4 + 2*k**2 - 2*k**2 + 5*k**4 + 0*k**4 - k**4.\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -74656308?\nAnswer: -74656306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 5*s - 21. Let r = 18 - 13. Let l be t(r). Factor 4\/5*f**3 + 6\/5*f**l + 0 + 0*f**2 - 2*f**5 + 0*f.\nAnswer: -2*f**3*(f - 1)*(5*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 5*g - 8425*g**3 + 2*g - 6*g.\nAnswer: -8425*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*n + 13, 0 = -2*n - 5*d + d + 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/1 + 96 + -87.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/261 and 9 + (-120)\/15 + 89\/(-42)?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1011001110001100010010011?\nAnswer: -1011001110001100010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-10) + (-132)\/(-30). Suppose j + 2*n - 24 = -4*j, 3*j - 12 = -2*n. Let u(i) = i**2 - 6*i + 5. Let z be u(j). Sort b, 0, z.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/506*(8\/(-6))\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-8 - (-24)\/(-16))*1\/2. What is the biggest value in k, 20, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2540\/28575*(-9)\/2*(-130)\/18.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -97, -97, -59, 17, 131, 283?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 224*i + 893. Give b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 952.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86581797*q**2 + 5118*q + 666 wrt q.\nAnswer: 173163594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 53*i - 3*c + 517 = 0, 0 = 5*i - 2*c - 2670. What is the highest common factor of i and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 683\/16?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 360939*x - 85. Let y be b(15). What is y rounded to the nearest one hundred thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124260 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13031330 (base 4) in base 9?\nAnswer: -44488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 11*k**2 - 13*k + 35. Give l(-11).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140267, -140296, -140353, -140438, -140551, -140692, -140861?\nAnswer: -141058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**8\/112 + w**5\/6 - 7*w**2\/2 - 14. Let p(y) be the second derivative of u(y). Find the third derivative of p(q) wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 108 - 117 = 0. Suppose 24 = i*m - 3*m. Solve -m*w + 9 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 6*j**2 + 4 - 130*j**3 + 129*j**3 - 4 to the form n*j + t*j**2 + l*j**3 + c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) - -72 - (33 - 35). Let p = -72 + j. Solve 8 - 2 = -p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -24074*s + 122417. What is h(5)?\nAnswer: 2047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = -29. Let r be 1\/((-1)\/4) + j. Suppose -35*u = -36*u + r. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1042 and -0.8.\nAnswer: 0.08336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813356 divided by -604452?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 2*m**2 - 2*m. Let h be o(4). What is the common denominator of ((-4)\/h)\/((-1)\/74) and -17\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*t - 3 = 0, -2*t + 6535 - 6562 = -d + 8*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262854 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -15*p**3 + 29*p**2 - 17*p - 2. Let a(s) = -32*s**3 + 58*s**2 - 36*s - 4. Determine 6*a(b) - 13*w(b).\nAnswer: 3*b**3 - 29*b**2 + 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i + 70. Let f be 2\/7 + (-25)\/i. Solve -s - 4 = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 58154*k + 58156.\nAnswer: -2*(k - 29078)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, -12, 12, -4, 23.\nAnswer: -12, -4, -2, 4, 5, 12, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 530510*l**3 + 14070981940*l**2 - 56290824590*l + 42219312135 = 0. Calculate l.\nAnswer: -53053, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3087.8 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -1 (b) -1694\/5 (c) -2\/15 (d) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**2 + 3*t + 2. Let x be k(-4). Suppose -3*l + x = -88. Let y = l - 59. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21762\/2976)\/117 + (-2)\/((-32)\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 4. Let j(c) = -8*c + 11. Suppose 4 = 2*w - 3*w + 4*a, 3*w - 20 = -4*a. Let z(y) = w*j(y) - 11*n(y). Let i be (1 + -2)\/(-1 - 0). What is z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 3*b**3 - 4*b**3)*(0 + 0 + 2*b + (1 + 1 - 6)*(0 + 0 + 2*b) + 2*b + 1 - 1 + (-4*b - 3*b + 4*b)*(4 - 1 - 4))*(-4 + 0 + 3).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37308058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586672.\nAnswer: 2, 37, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8301*o**5 + 12185*o**4 + o**3 + o**2 - 275618*o + 178.\nAnswer: -498060*o**2 + 292440*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.67365 + -9.6736. Let b = l - -8. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/742918879 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lld when three letters picked without replacement from {l: 6, m: 1, s: 1, d: 11}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -j + 2 - 6, -6*j + 11*j + 32*x + 102 = -24*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-408)\/30)\/(6\/(-20)). Let i(q) = 2*q**2 + 0*q**2 - 32*q + p*q. Let l(j) = 7*j**2. What is l(i(v))?\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3929*x**2 - 14*x + 94. Let a(j) = -1310*j**2 + 5*j - 35. Give 8*a(t) + 3*h(t).\nAnswer: 1307*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/2 + v**3\/6 - v. Suppose -4*y - 6 = -18. Suppose 0 = -8*k + 5*k + y. What is n(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/(sqrt(144)*-1)*5)\/((sqrt(9) - (sqrt(9) + sqrt(324))*3) + sqrt(27)\/sqrt(3)*-6))**2.\nAnswer: 75\/10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2750 divided by -25.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-15))\/(6\/(-20)). Suppose 5*h - h = -q + 38, -m*h - 4*q + 32 = 0. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + m**2)*(-2*m**3 + 5*m**3 - 2*m**3) + (21*m + 21*m - 51*m)*(-m**4 - m**4 + 4*m**4) + 5*m**5 + 817*m**3 - 817*m**3.\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/518 or 281?\nAnswer: 3\/518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 3*s = 30, -5*s = -10. Suppose -o*j + t = -4*j - 41, 2*j - 5*t = 21. Solve -i + 2*g = 2, -5*i - j = 2*g - 34 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 7)*(2 - 1 + 1) - 2 + 0 + 3 - 1 - 7 - 2)*(15 - 21 - 35)*(r + 3*r - 6*r)*(6 - 1 - 2)*(2 - 3 + 3).\nAnswer: -6396*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 128 - 173 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78554383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3526053l in millilitres?\nAnswer: 352.6053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 + 1301*a - 3223040 = 0?\nAnswer: -2560, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -193, -531, -1013, -1645, -2433?\nAnswer: -3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 33. Let w be c(-30). Put w, -1, 1 in ascending order.\nAnswer: -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 2*l**2 + 8*l + 416. Let q(r) = 2*r**3 + 2*r - 2. Let y(m) = b(m) - 4*q(m). What is the first derivative of y(k) wrt k?\nAnswer: -30*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + (1 - 10) + 3 + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -15 + 3. Let p(l) = l - 2*l**2 - l**3 + 2*l**r + 5. What is p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 35807484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -854255, -853189, -852121, -851051, -849979, -848905?\n\"Answer: m**2 + 1063*m - 855319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856 divided by 4?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*j + 3*s + 514, -4*s = -4*j + 1020. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 38619?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*j = -3*j + 23, -s - j - 9 = 0. Let g be (-42)\/35*s\/2. Suppose 6 = 3*k, -5*k + 0 + 22 = 3*o. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -83, -58, -15, 52?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -26, -44, -66, -92?\n\"Answer: -2*a**2 - 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 - 6*k + 6. Let r(w) be the third derivative of 7*w**5\/60 + 7*w**4\/24 - 7*w**3\/6 + 71*w**2. Give -7*f(t) - 6*r(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - (-3)\/(135\/12). What is the nearest to 83 in -4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 5*l. Let k(i) = 5*i**2 + 24*i + 2. Let b(q) = -k(q) + 4*x(q). Let z be -3 + -1*(0 + 1). Determine b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u = 217916 - 219626 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2466)\/(-3288)*156\/(-15)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -221e - -1cd?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(98) + ((sqrt(98)*-2)**2 - sqrt(98)) + 3 + sqrt(98) + (sqrt(98)*-2*6)**2 - (3 + (-6*(2 + sqrt(98)))**2 + 3).\nAnswer: -1001*sqrt(2) + 10834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*31.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/12*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y + 2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-7)*d**31*(d**(-20)\/d)\/d**(-10\/3))**(-45) assuming d is positive.\nAnswer: d**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 8*d + 10. Let i = 13 - 6. Let g be r(i). Find the third derivative of t**3 + 3*t**2 + 0*t**g + 2*t**3 wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1270*p = -1266*p - 640. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/48 and -77\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-70))\/(1\/(-8)*-6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11021*z - 59464 with respect to z.\nAnswer: -11021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/18*-15)\/((-1)\/(-6)). Find the third derivative of -9*m + 153*m**4 - m + k*m - 4*m**2 wrt m.\nAnswer: 3672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.15 + 4\nAnswer: -28.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 64 = -4*h, 3*n - 7*h + 4*h - 18 = 0. Solve 3*r - 3*m - 12 = 0, 7 + n = 3*r + 3*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8*u)\/((u*u\/(u\/(u\/(u\/(u*u\/(u\/u**(-7))))*u*u)))\/u)*(u**(-1\/4)*u)**2 assuming u is positive.\nAnswer: u**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1032 (base 11) to base 15\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 4 + 0*d**2 + 21 - 9*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75798 (base 13) to base 11.\nAnswer: -135498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*x + 2*x = 1412, -8 = 2*x. Suppose -124 = -b*h + 282*h. Calculate the greatest common divisor of h and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 5}. Give prob of sequence pjjp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/v**(-16))\/v)**(3\/43))**(-2\/67))**(-40))**(-2\/49) assuming v is positive.\nAnswer: v**(-7680\/141169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 4*c + 17 + (0 + 1 + 0)*(2 - 2*c - 2) - 12*c + 3 - 7 + 2.\nAnswer: -18*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(125 - 138 - 275)*(-l - 5*l - l) as t + m*l and give m.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 15*s + 18. Calculate v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - 2*r)*(2 - 2 + 6)*(-3 + 2 + 0)*(3 + 2 - 3).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 10da?\nAnswer: -10d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65846685769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875747 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k - 7. Let t(o) = -4*o**2 - 16*o - 22. Let g(l) = 7*j(l) - 2*t(l). Let u be g(3). Let d(f) = -f**3 - 6*f**2 - 6*f - 3. Give d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18002781.95 + -2226.95. Let g = x + -18000580.000102. Let z = -25 - g. Round z to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/1)\/5*6\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 34. Let g = 24.8 + y. Let x be 36\/(-8) - (-1 - 3). Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 22911?\nAnswer: 22910.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {i: 3, n: 1, d: 2, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*g + 65, 7*g - 2*g - 55 = -4*x. Suppose -x*k = -24*k + 14. Let i(u) = -u + 1. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-2))\/((-2)\/4). Suppose -t = 3*m - 8*m. What is the remainder when -3 + m - (0 + 0) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/248*((-4)\/21)\/(84\/(-294))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*l - 5*l. Suppose -4*u = -l*m + 6*m - 48, -2*u = -4*m + 72. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -7*n**4\/24 - n**3\/3 - 5*n**2. Calculate the lowest common multiple of p(-2) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-63) - 62\/(-14). Suppose 605 = i*z + 17*o - 16*o, -6 = 2*o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 20*v + 31*v)*(26*v - 47*v**4 - 26*v) + 6*v**2 - 6*v**2 + 4*v**5.\nAnswer: -2111*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9843?\nAnswer: 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.278 - -0.178. Round f to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v - 4*v)*(-13*v**2 - 4*v**2 - 15*v**2).\nAnswer: 224*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 160*v**2 + 35*v - 5579. What is b(160)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(300) + (sqrt(300) + 4 - sqrt(300)))*5)**2*-1.\nAnswer: -8125 - 2500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -516, 5, -4, 0, -9.\nAnswer: -516, -9, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/6 (c) 50444 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26165207 divided by -6\nAnswer: -26165207\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(104) + -1*sqrt(104)*4 + 1*(sqrt(104) - sqrt(104)*-1))\/(sqrt(800) + 6*sqrt(800)*3) + 4)**2 + -4.\nAnswer: -4*sqrt(13)\/95 + 397113\/36100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/3 + 35*d**4\/3 - 389*d**3\/3 + 317*d**2\/3 + 388*d\/3 - 352\/3 = 0. Calculate d.\nAnswer: -44, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16224508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e - 2a90?\nAnswer: -2b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*d**2 + 8*d**3 - 7*d - 8*d + 36*d**2 + 10*d**3 = 0. Calculate d.\nAnswer: -5\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h - 6*h - 2*h + 1634 - 3*h + 3*h as b*h + f and give f.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*k - 2*t, 4*k + 26 = -t - t. Let v(j) = -13*j - 29. Is v(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1)\/2 - 1). Let x(y) = y**3 - 2*y**2 + y - 1. Calculate x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958933 < 4958932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 + 1080*u**4 + 59385*u**3 + 114490*u**2 = 0. Calculate u.\nAnswer: -107, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957129223.\nAnswer: 17, 61, 751, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326 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: Expand (2*u**2 - 5*u**2 + u**2)*(u**2 - 3*u + 3*u + (3*u - 3*u + 2*u)*(4*u - 2*u - u) + (-2*u - 1 + 1)*(7*u - 4*u - 2*u) + 1 - 1 + u**2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22001001 (base 3) to base 15.\nAnswer: -1b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 2, f: 1, t: 5, n: 6, d: 2}. Give prob of sequence dtd.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 167*d**6\/40 - 211*d**5\/30 - 39*d**2 - 3. What is the third derivative of j(u) wrt u?\nAnswer: 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18 + 37*q**3 - 7 + 9*q - 8*q**2 + 17 - 9. Let v(r) = -9*r**3 + 2*r**2 - 2*r + 4. Give 2*u(p) + 9*v(p).\nAnswer: -7*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5008528724?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2. Suppose 6*v - 150 = 12. Let i(b) = -v - 32 - 34 + 97 + 12*b**2. Give o(i(q)).\nAnswer: 288*q**4 + 192*q**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-298)\/(-894))\/(((-15)\/(-27))\/(-1))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 71, 49, 31?\n\"Answer: 2*m**2 - 32*m + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1846 * 0.4\nAnswer: -738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -6. Suppose y + 1 = -a + m, -y = -4*a - 4. Suppose 0 = -5*g + 3*n - 22, 2*g + 2*g + y*n = -24. Put -3\/4, g, -3\/8 in descending order.\nAnswer: -3\/8, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 5, -5 in decreasing order.\nAnswer: 5, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 = 5*i, -168*q + 4*i + 5 = -169*q. Solve -360 = -q*h + 63*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3.5882, -4 in increasing order.\nAnswer: -4, 0, 2, 3.5882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*i**2*l**2 - 3*f*i - 2*f - 11*i**2*l**2 - 2*i*l**2 - 6*i wrt i?\nAnswer: 12*f*l**2 - 22*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4393899 to 3 dps.\nAnswer: -0.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Suppose 0 = -g - 2*g + l. Suppose s = g*s - 191. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Suppose p - 6 = -n. What is the second derivative of 15*s - p*s - s**2 - 5*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 + -4)**2 - sqrt(2057).\nAnswer: -99*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*b - 13*z + 10*z, 5 = -z. Solve 74*j - b = 69*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**8\/1680 - p**7\/210 - p**6\/120 + p**5\/30 + p**4\/6 + p**3 + 3. Let n(c) be the third derivative of r(c). Factor n(v).\nAnswer: -(v - 1)*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1769, 3230, 4691, 6152, 7613, 9074?\nAnswer: 10535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 903\/9 - 1\/3. Suppose -5*r = -300 + n. Suppose 0 = -3*x + y + 58, 0 = 3*x + 5*y - 41 - 47. Calculate the remainder when r is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/11 + -1\/55. Let k be (-42)\/10 - 1\/(-5). Let f = 1.97 + -1.9. Sort k, x, f.\nAnswer: k, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5255287, -5255271, -5255257, -5255245, -5255235, -5255227, -5255221?\nAnswer: -5255217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 112.2 and 109.\nAnswer: 12229.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-153)\/564 - (-1)\/4. Let h(o) = -52*o + 156. Let n be h(3). Is m < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/2 - -2)\/(-2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 19. What is the units digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**4\/3 + 25*x**3\/6 - 6*x**2. List the prime factors of z(14).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/6 + 133\/66. Suppose -5*x + 35 = -15. Let l = x + -7. Which is the third smallest value? (a) d (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*j - j + 17, -13 = 4*d + 3*j. Let z be 1 + 5 + (-3 - d). Solve -4*c - z = 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - 12*q**2 - 53*q**2)*(-3 + 2 + 0) + 2*q**2 - 3*q**2 + 4*q**2.\nAnswer: 62*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2603.22031.\nAnswer: -2605.22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39711 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) -2\/11 (b) 0.01 (c) 1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*81\/6 + 10. Let d(w) = w**3 + 17*w**2 + 10. Determine d(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372719358*i**4*w - i**3 - 295*i**2*w - 46*i**2 - 168*i - 2*w + 4 wrt i.\nAnswer: -8945264592*i*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -881.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose -g - 4*g + 58 = 3*x, 0 = 2*g - s*x - 17. What is the highest common factor of g and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13585*z - 19323*z + 11351*z + z**2 - 16573*z.\nAnswer: z**2 - 38130*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/6*(-98332)\/(-41602).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 2*k - 13, 0 = 2*n - 5*k - 29. Suppose -1907 - 1271 = -n*g. Suppose -144 = 5*i - g. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 1. Let h(o) = 3*o - 4*o + 0*o. What is h(w) - 2*i(w)?\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186910 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7724585 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1 - (-2 - (14 - 12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 4*l**2 + 6*l. Suppose -d + 65 = -122*d - 56. Let j(o) = -3*o**2 - o + 0*o + 2*o**2 + 0*o. Suppose -3*c - 3 = 9. Give c*j(i) + d*x(i).\nAnswer: 2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/1*(-12124)\/866\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2615\/42 + -297\/7. Find the common denominator of m and ((-3)\/6)\/(9\/(-83)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 271*g + 32707 - 12924 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.060857365\nAnswer: 0.0304286825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*o - 2*d, -8*o - 4*d = -9*o + 10. Suppose o*j - 17230 = 5*b, -11783 = -2*j + 4*b + 5443. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkc when three letters picked without replacement from cwk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/477 and -89\/7739908.\nAnswer: 69659172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - l = 6, 5*l + 0*l - 27 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -30 (b) -0.01 (c) -2 (d) -1090\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 767680874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368 + 370. Let w(y) = -y - 5 + 6 + 5. Let r(u) = -3*u + 13. Give o*r(m) - 5*w(m).\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47719, -47704, -47685, -47662, -47635, -47604?\n\"Answer: 2*u**2 + 9*u - 47730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let r = 1 - z. Let y be (-1 - (-2)\/6)*-6. Solve 4*m = -r*w - y, -m + 3*w + 9 = 2*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 9. Suppose u - 48 = p*u. Let i = -11 - u. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 24 + 32 - 8 - 7*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 76*f + 99. Determine g(-39).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*z + 4*z + 5 = 0, -2*m + z = 5. Suppose 0 = -2*p - m - 4, 4*b = p + 2294. Let k = b + -340. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*v - 112*v = -3633315. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*n - 12 + 2, 2566*n - 2568*n = 4*l - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486275341?\nAnswer: 347, 10046903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 145, 217, 289?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -989770*c*s**2 + 192*c - 391626703*s**2 with respect to c.\nAnswer: -989770*s**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -315 - -3150?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/24)\/(30 + (-4347)\/140).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + 42\/(-12))*2. Solve -y*p - 2 = 13, -p = t - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**3 - 1. Let p(b) = -7*b**2. Let h(t) = 5*t - 9. Let r be h(5). Let q be 1\/((-1)\/r*-4). Calculate q*p(a) + 5*x(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 3*v - 5*v**2 - 2*v**2 + 3*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*a = 3, 20*a - 3 = -13*g + 23*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18621509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 5, -6, 4, -14 in increasing order.\nAnswer: -14, -6, 4, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**3 + 8*x**3 + 3*x**3 + (-7*x + 3*x - x)*(x**2 - 5*x**2 + 0*x**2) + 2*x**3 - 3*x**3 - 4*x**3 as y*x**3 + q*x + s*x**2 + a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 2*l, -1 = 4*j + 2*l + 37. Put j, -2, -5 in descending order.\nAnswer: -2, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 79?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {i: 1, e: 1, x: 1, s: 8, t: 2, n: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13076 by -2.\nAnswer: -6538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(98))*-4)**2 + -5.\nAnswer: -672*sqrt(2) + 1707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 8*a**2 - 7*a - 15. Does 12 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:45 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose o = 2*r - 4*n - 18, 0 = -3*r - 5*n + 37 + 12. Calculate the remainder when 36 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/12 + l**3 - 2*l**2 - 3*l. Let v be u(3). Suppose -v*t + 44 = -t. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -391\/4. Sort f, -4, -2, 0.3 in decreasing order.\nAnswer: f, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-8) + 3)*((-183)\/(-9) + 7). Solve -n + 46 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 14*r + 1. Let a be i(6). Calculate the greatest common factor of a and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -996900 divided by -4?\nAnswer: 249225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((204\/(-36))\/17)\/(15\/180)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 6026?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, r: 1, l: 1}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 1. Let g be b(-2). Let l be (8\/28)\/((-1)\/(-7)). Find the third derivative of -5*y**2 + 3*y**3 - g*y**2 + 3*y**l wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s + 12. Let q be -18*((-6)\/(-9))\/(2132\/(-861)). Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11201000 (base 3) to base 15\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, a: 3, k: 4, y: 3, u: 6}. What is prob of picking 3 u?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 2*s**3 + 18*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {y: 3, t: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -121\/2. Is 2 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 174 + 15 = -28*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6120585 and 3744.\nAnswer: 2546163360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 15*a**2 + 13. Let f(i) = -3*i**3 + 10*i**2 - 9. Determine 7*f(b) + 5*p(b).\nAnswer: -b**3 - 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -9. Let y = 2 + d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 27772\/8*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j\/j**16))*j*j*(j\/(j**(-1\/2)\/j))\/j*j assuming j is positive.\nAnswer: j**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 48336*n**2 + 6076352\/5*n - 1755904\/5 + 3188\/5*n**3 + 14\/5*n**4 = 0.\nAnswer: -76, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 46 = 4*m, -o + 3 = 2*m - 11. Let a(v) = 5*v + 0*v - o*v. Let t(z) = 4*z**2. What is a(t(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.4. Let s = -0.6 - q. Put -3, 2\/3, s in decreasing order.\nAnswer: 2\/3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 3 + -6 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*h + 80 = 0, 100 = 15*w - 10*w - 4*h. Suppose 13*v + 4144 = w*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 152, 3, -24698, 4.\nAnswer: -24698, -2, 0, 3, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-seven fifths of a millimeter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4819529 is divided by 1087.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 + 70*z + 36*z + 111*z. Let a be w(2). Is a\/12 + (-2)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.026062 - -0.002155. What is l rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - -3 - -10 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7308\/182)\/18)\/((-7)\/(-91))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-16)\/(-6). Let s be 45\/(-15)*3716\/12. Let m = -925 - s. Solve 4*f + 12 = -g, q*g + 0*f - 28 = m*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 + 202. Are 50 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.968 + -8. Let i = -19.968 + x. Let j = 23 + i. What is the nearest to j in 1\/4, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -2*x - 5*u, -2*u = -3*x + 12. Calculate the least common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826397.\nAnswer: 3, 202933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose -n = -2*a - 2*a + 25, 4*a - k*n - 27 = 0. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96605509384151677\/200910 + -480839726175. Let k = j - -2\/20091. Calculate the common denominator of 55\/18 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -28*w + 5*y, 801*w - 797*w + 2*y + 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61173a (base 16) in base 15?\nAnswer: -85a4ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 - (-1599)\/52) + 6\/(-8). Sort g, -8, -5, 2 in descending order.\nAnswer: g, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*w + 5*w - 57 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 122722 + 181740 = -300640. Is 159 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in 1, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7))\/((-350)\/(-245))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90609 or 90606?\nAnswer: 90606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2*v**3 - v**3 - 2*v**3. Suppose -5*x + 14 = -6. Let r(h) = 6*h**3 + 5*h - 1. Let u = 1 - 0. Determine u*r(o) + x*i(o).\nAnswer: 2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 228724956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/9 (b) 2\/59 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + 391281?\nAnswer: 391264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 2, m: 4, c: 2, r: 1, d: 3}. What is prob of sequence mrb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 150*n**2 + 608*n + 16952. What is t(145)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 195 - (-19292 + 19187).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 5*z**2 + 11*z - 24. Let r be k(6). Round r to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/6 and -31\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1.04 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10\/(u\/u**(-1\/11)))**(1\/2))**(-1\/2) assuming u is positive.\nAnswer: u**(-49\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 7 (c) 498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464\/2509 + 6\/193. Let y = 9\/26 - l. Factor a**3 + y*a**4 - 1\/2 - a + 0*a**2.\nAnswer: (a - 1)*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 2*f**2 + 8. Let u(a) = -10*a**3 - 7*a**2 + 23. Let b(s) = -s**3 - 12*s**2 - 2*s - 22. Let d be b(-12). What is d*u(j) - 7*m(j)?\nAnswer: j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + o - 2. Let b(h) = -h**3 + h**2 - h - 1. Let u(s) = -2*b(s) + j(s). Factor u(i).\nAnswer: -i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - sqrt(66)*1)*6 + -3*(sqrt(66) - 1*sqrt(66)))*-2)\/(sqrt(24)\/sqrt(4)*-2 + -3*(sqrt(6)*3 - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155919 rounded to 4 decimal places?\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riss. Give prob of sequence sssi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23703 + -5687. What is i rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1394, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + (-7 - 0) + (93 - 87)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(((-112)\/12)\/7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19763, 39528, 59293, 79058, 98823?\nAnswer: 118588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**2 - 103*q + 125. Give v(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -86*2*(-6)\/(-24). Suppose 0 = 5*a + 3*v - v + 220, 0 = -2*a + 4*v - 112. Let u = f - a. Calculate the smallest common multiple of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/545403975 and -2\/25.\nAnswer: 545403975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -12. Let s(i) = -i**3 - 6*i**2 - 4*i - 3. Let t be s(-6). Let o = a + t. What is the smallest common multiple of o and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6 = -2*g, -2*m + 9*g = 424 - 203 - 178 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18185\/22 - 826. Calculate the common denominator of 69\/176 and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55658, -130, 2, -3.\nAnswer: -55658, -130, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21167879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + (-535)\/(-25). Let w(b) = 3*b. Let t(x) be the first derivative of 6*x**2 - 2. Let p be (12 - 16) + 2 - (5 - 2). Give m*w(v) + p*t(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 10*p + 3. Let i be f(10). Solve r + 1 = i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tth when three letters picked without replacement from {t: 5, h: 4, r: 5}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 3. Let f be y(3). Suppose 0 = 3*x - f*d - 30, -4*x - 5*d = -13 - 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 7768\/(-36). Let l be (3\/6)\/((-1)\/t). Let y be l\/14 + (-2)\/(-7). Solve 0 = -5*c - y - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3925 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -119, -352, -681?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 15*w\/2 + 31\/4.\nAnswer: -(w - 31)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21234011591+-9.2\nAnswer: 21234011581.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 77, 8 in ascending order.\nAnswer: 0.3, 8, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**8\/112 - y**7\/35 + y**5\/10 - y**4\/8 - 4*y**2. Factor r(i).\nAnswer: 3*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00173203 to 5 dps.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3567 and 4756.\nAnswer: 14268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -1. Let i(o) = -y*o + 3*o**3 + 2*o - 1. Let f(w) = w**3 + 8*w**2 + w + 9. Let z be f(-8). Determine i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 26 + 696*r - 2*r**2 + 3*r**4 - 695*r to f*r + x + g*r**4 + p*r**3 + t*r**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/66438941?\nAnswer: 4\/66438941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:12 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3615233 times 7?\nAnswer: -25306631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:14 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.5, -7, -5.8, 29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**6 - 6*r**5 + 715*r**2?\nAnswer: -120*r**3 - 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 32093 = -438752. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-290)\/144 - (2529153\/(-1144836) - (-6)\/(-147)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**2 + 30*n - 8.\nAnswer: -(n - 4)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12*f - 5*u - 10 = 0, -4*f + 5*u + 8 = 0. Let j(h) = 3*h**2 - 2*h - 2. Let i be j(f). Solve i = n - 2*k, -3*k + 9 = n - 8*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8)*(11 + -5)*(-44)\/99. Solve 206 = q*p + 216 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -46 - 90. What is the greatest common divisor of o and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 - 2. Let h(f) be the third derivative of 7*f**4\/24 + f**3\/6 + 2*f**2. What is the lowest common multiple of h(3) and k(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**3*h**2*q*r - a**3*h*q**2*r + a**2*h**2 + a**2*h*q*r - 2*a*h**2*q**2 - 4*a*h**2*q*r - 2*a*h*q**2 wrt a?\nAnswer: -108*h**2*q*r - 6*h*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/13507 + -229565\/364689. Let y = -2070 - -3805. Let k = 52063\/30 - y. What is the common denominator of g and k?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**5\/12 - 5*w**4\/12 + 5*w**3\/2 - 9*w**2 + 2*w - 18. Let r(f) be the second derivative of b(f). Factor r(h).\nAnswer: -5*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + (-2 - (-2 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/9 and (-251)\/(-60) - 13\/52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtu when three letters picked without replacement from {a: 1, u: 1, t: 2, x: 1, v: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + q. Let t(i) = -23*i - 3. Let h(u) = 28*u + 3. Let r(c) = 5*h(c) + 6*t(c). Calculate r(f) - y(f).\nAnswer: f**3 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8651 is divided by 109?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 0, -2*o + 272 = 2*r - 7*o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 6\/11, -8, 1\/6, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {i: 6, q: 4, d: 7}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:58 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.6 - 174. Let q = -130.09 - i. Let d = q - -0.39. What is d rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, r: 1, f: 1, p: 3, l: 3, t: 2}. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5097.257 rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 - 3 = l, l - 3 = 5*g. Let p be ((-3)\/24*-4)\/2. Which is the nearest to p? (a) 4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212867987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, m: 2}. What is prob of sequence kmmk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1203551838 rounded to four decimal places?\nAnswer: -0.1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cizizwccizjccci. What is prob of picking 1 i and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8963?\nAnswer: 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4aa140a - 12?\nAnswer: -4aa1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -9401?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, 1\/3, 1.58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let l = 10 + f. Let o be 34\/l + (-6)\/(-8). Solve -2*j - q - o - 3 = 0, 2*q = -5*j - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.53 + 2.53. What is the nearest to -0.1 in 0.3, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:10 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/13, 3.4, -282\/371.\nAnswer: -2, -282\/371, 2\/13, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 44. Suppose 0 = y*h - 4*h - 12. Suppose -5*x = 3*z - 8, -2*z + 8 - 1 = h*x. What is the highest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.58938ug in grams?\nAnswer: 0.00004558938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 + 7*n**2\/2 + 9*n + 7. Let q be v(-6). Solve -2*o - 5*d + 14 = 0, 3*d - 12 = -6*o + q*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**3 - t + 18. Let p(z) = -31*z**3 + 3*z - 55. Determine 17*c(b) + 6*p(b).\nAnswer: b**3 + b - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + (11 - 3))\/6. What is the nearest to x in -4, 2\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**2*s*y + r**2*y + 101*r**2 - 27*r*y - 5*s*y + 23*s + 5*y wrt r?\nAnswer: 2*r*s*y + 2*r*y + 202*r - 27*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**2 + 14*s + 6. Let k(z) = -2*z**2 + 70*z - 12. Let j be k(35). Let t(w) = 2*w**2 - 2*w - 1. Let l(u) = j*t(u) - 2*x(u). Factor l(o).\nAnswer: -4*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4595, -18630, -42105, -75020, -117375?\nAnswer: -169170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sos. Give prob of picking 1 o and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:12 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -2.53. Let z = u - -0.37. Sort z, -1\/4, -2 in descending order.\nAnswer: z, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 252?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -cb?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72413820 and 10?\nAnswer: 72413820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13403204 (base 5) to base 4.\nAnswer: -201223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241950?\nAnswer: 2, 3, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.23 - 0.37. Let g = 19.1 - 0.1. Let l = m + g. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -409482 (b) -0.5 (c) -1\/3 (d) 3 (e) -4 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012712825 to seven decimal places.\nAnswer: 0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2724322 > -2724320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 172 = -v - 2*v, -55 = -v - 4*r. Let y = -235\/4 + v. Let o be (6\/5)\/(9\/(-10)). Which is the nearest to y? (a) -0.4 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 130241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/18*-2*45 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let s = 2054 - 2060. Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8169488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -114, -3, -1\/89?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -53*y + 49. Let n(h) = 69*h - 50. Give -3*k(u) - 2*n(u).\nAnswer: 21*u - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 1023, 1828, 2869, 4200, 5875, 7948, 10473?\nAnswer: 13504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:24 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(9\/4)\/9. Let j be 1850\/(-2)*(-800 - b). Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278206 is divided by 138865.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/3 - 12*a. Let t(u) be the second derivative of -u**4\/12 + 6*u. What is t(d(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*q**2 + 49\/4 + 12*q.\nAnswer: -(q - 49)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - 0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -323*g**2 - 3*g - 1892 wrt g?\nAnswer: -646*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26155.7 and -5.\nAnswer: 130778.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + -3.3. Which is the nearest to -0.2? (a) 2\/13 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14947802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 a factor of 1539999780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 26.5. Let h = 3 + -2.6. Put l, h, 5 in decreasing order.\nAnswer: 5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 2. Let f(h) = 4*h + 2. Let c(j) = 3*f(j) + 2*t(j). Let r be c(0). Solve r = -3*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518477 (base 9) to base 16\nAnswer: 4b340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3312010586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l + 7217 = 290672. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 1127503170 - 3*j - 1127503170.\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:57 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*o**3 - 36*o**2 - 3\/4 - 9*o.\nAnswer: -3*(4*o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/12 + 161*n - 13. Let f(k) = -40 - 15 - 2*k + 0*k. Calculate f(x(l)).\nAnswer: -2*l**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 0 + 0. Let h(d) be the third derivative of d**6\/180 - 17*d**4\/24 - 14*d**2. Let m(i) be the second derivative of h(i). Give 2*m(z) + 10*v(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*g - 174*g + 36 = 0. Let j be (-5)\/(50\/(-36)) - 3. Is j <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -3*n, 8*o = 9*o + n. Find the third derivative of -o*s**3 + 2*s**6 - 8841*s**2 + 8905*s**2 - 20*s**5 + 3*s**3 - s**5 wrt s.\nAnswer: 240*s**3 - 1260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*b*z**4 - 13*b*z**2 + 17*b - 3*z**3 + 2*z**2 - 53721*z wrt z.\nAnswer: 1188*b*z**2 - 26*b - 18*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 0 - (-29 + -18)) + 1 + 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/104)\/(1\/8*-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 174 = 3*d. Let q be (-3)\/(-7) + 224\/49. Let j = q + 10. What is the remainder when d is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53275555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 38) + (-8 - 4 - 53)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/2232 and 26\/837.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-72)*6*13 - (2 + 18).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4076*z**4 + 66*z**2 - 2894422?\nAnswer: 16304*z**3 + 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, -4 in descending order.\nAnswer: 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1211101000?\nAnswer: -1211101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:29 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(((-462)\/264)\/((-7)\/(-2)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139939223.\nAnswer: 3, 31, 12257411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 85226*x + 19 + 10*x**2 - 85223*x - 8*x**2 to the form f*x**2 + m + k*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7*r + 404 = -3*r, 0 = -3*b - 5*r - 335. Let q = 107 + b. Solve 0 = -7*u + q*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + -1 + sqrt(304) + -1 - sqrt(304)) + sqrt(304) + -2 - (-5*-4*sqrt(19) - (-2*sqrt(19)*5 - sqrt(19)))) + -2)**2 + -3.\nAnswer: 276*sqrt(19) + 10084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (153\/(-425))\/((-4)\/((-60)\/(-9))). Which is the second biggest value? (a) 2 (b) s (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/(1\/(-3))*-17. Suppose -2*y + r + 103 = 0, 3*y - 98 = y - 4*r. Let p = q + y. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -91*q - 2463. List the prime factors of o(-42).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*f - 9, f - 8*m + 1 = -3*m. Suppose -f*c = -3*c - 116. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + -4*(sqrt(1053) - (-2 + sqrt(1053) + -2) - (-4 + sqrt(1053)*-1)) + -4))**2.\nAnswer: 20736*sqrt(13) + 160848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284983 rounded to the nearest 10000?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j. Let g(i) be the first derivative of 2*i**3\/3 - 7. Calculate g(b(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10\/(-12) - -2*492\/144\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 not equal to 77614\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382024 (base 9) in base 2?\nAnswer: 100111011111010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -44.62. Let p = -5.1 + q. Let s = p - -0.28. Which is the closest to 0? (a) -3 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-5\/7))*a\/(a**1*a))**(-45) assuming a is positive.\nAnswer: a**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 1. Calculate j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -316918900 to the nearest one million.\nAnswer: -317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 74922770 divided by 37461385\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1456 and -57\/224.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 - 8*z - 1. Let r be n(9). Solve -r = 3*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + x - 3*x + 3, 2*q + 3*x - 6 = 0. Suppose 3*y - 494 = 2*a, -q*a + 15 = -0*a. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - v**2. Let z(q) = -115 - q - 2*q + 115. Determine z(r(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 4*q + 2 - 2*q**4 + 18*q**4 - 7*q**4 + 3*q to the form j*q**4 + k*q**2 + f*q**3 + t*q + z and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*m = -77*m - 153*m + 2694 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 9 + 1 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 48 = -2*c, -4*c + 36 = -84*g + 80*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292332767 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2e6bc4 (base 15) to base 4\nAnswer: -20211122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-96) + (-5)\/20)\/(-1). Factor 1\/6*w**2 - 1\/6*w - 1\/6 + b*w**3.\nAnswer: (w - 1)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 3*g)*(3 - 4 - 1)*(0*g**2 - g**2 + 0*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6*q + 3 = -2*q, 5*q = f - 18. Suppose -6*b = -f*b - 6. What is the third derivative of 4*u**2 - 2*u**3 + 3*u**2 + 0*u**3 + 0*u**b wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 0.9 (b) -4\/39 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3695468*i**3 + i**2 - 13*i + 31053.\nAnswer: 22172808*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 + -139.31. Let c = 1.3099968 + z. Round c to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 762 and 21590?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -24903?\nAnswer: -2490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -447*c**5 + 175*c**5 + 134*c**5 + (1 - 2*c**2 - 1)*(8*c**3 + 2 + 43*c + 40*c - 84*c).\nAnswer: -154*c**5 + 2*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.872. Let p = -0.431 + z. Let m = p + 1.23. What is m rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -279, -254, -231, -210, -191, -174?\n\"Answer: -x**2 + 28*x - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 106*u**2 - 1141*u + 37. Give c(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323439.\nAnswer: 3, 131, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*-1*(-3 + (-165)\/(-50))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 c when four letters picked without replacement from {c: 5, z: 6, b: 2, w: 1, d: 3}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 7090275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 - -1365. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.2, 49, -0.3 in decreasing order.\nAnswer: 49, 0.2, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.958216414 to three decimal places.\nAnswer: 8.958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 108. Give f(-19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044760 - 41488?\nAnswer: 1003272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y**2 + 5*y + 6. Let s be o(-4). Suppose 2 = -u + 5. Suppose 4*p - 2*v = 21 + 29, 27 = s*p - u*v. Solve 0 = -2*m - 2*m + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1399598 + -1399824.9468. Let b = q - -227. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 53412432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*-10*3\/6. Find the second derivative of j*l**3 - l**3 - l**3 - 2*l wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v - 7. Let f(d) = d**2 - 4*d + 6. Calculate -5*f(i) - 4*g(i).\nAnswer: -i**2 + 8*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -3, 58, 3, -41 in ascending order.\nAnswer: -41, -3, 1, 3, 9, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 5, h: 2, b: 5, e: 1}. What is prob of sequence eb?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b*d**2*o**2 + b*d*o**2 - 11*b*o**3 - b*o + d**2*o**3 wrt o?\nAnswer: -66*b + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-18)\/n)\/n*n**(-1\/26))**29)**10 assuming n is positive.\nAnswer: n**(-71775\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -16*w + 17*w - 7, -w = 4*d + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1790 and 54774?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/156 - -1\/12. Let k be (-20)\/18*(-9)\/15. What is the nearest to 0.1 in k, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:52 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(21\/(-6)) + -1 - -9. Let d(t) = -t + 1. Calculate d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18715 - 10298. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150 - -1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(12)\/sqrt(6) + sqrt(2))*6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13 = 5*g + 1, -2*y + 3*g - 11 = 0. Let w be (33\/(-22))\/(y\/32). Calculate the common denominator of 2196\/w*4\/30 and -73\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s - 5*s + 23*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 16 - (0 - (-6)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**3 - m**2 + 2*m - 1. Let x be b(1). Let j = x + 10. Suppose 3*z = v + 5, -v + 0 - 3 = -z. What is the closest to j in z, 3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 868*q - 287*q - 292*q - 292*q - 69*q**2 as z*q + r*q**2 + j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 53. Determine i(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 9*p**4 + 78*p**3 - 54*p**2 - 75*p + 63 = 0. What is p?\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 6*q**2 - 7*q**2 + 2*q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n - 40*n - 156 = -54*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4976)\/(-472720))\/(0 - (-1)\/(-5)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400*-0.2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l = -30766 + 29296 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98810228, -98810227, -98810226, -98810225, -98810224, -98810223?\nAnswer: -98810222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymyymymyyyyyyy. What is prob of sequence ymmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 + 3. Let v be k(-3). Let m be -3 - v\/27 - -3. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c + 111. Determine z(-4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/p**(-22))*p\/p**(-4\/5))\/(p**(-2\/9))**(-48) assuming p is positive.\nAnswer: p**(-433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 4662.\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12601, 50464, 113575, 201934, 315541?\nAnswer: 454396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3318, 3319, 3320, 3321, 3322?\n\"Answer: i + 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/55 and (-2)\/(-8)*-8*(-3 + 15789\/5346).\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131725 is divided by 757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = c. What is the derivative of -q**2 + 3*q + 2 - q - c*q wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69411, -69391, -69393, -69429, -69511, -69651?\nAnswer: -69861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1027 - -0.1027. What is the closest to v in 5, -0.4, 4\/7, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from llgggllllllgggplpll.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + (sqrt(3) - sqrt(18)\/sqrt(24)))**2 + (((sqrt(270) - (sqrt(270) - sqrt(270)*-2))\/sqrt(9))\/(1*sqrt(10)*-3))**2.\nAnswer: 5*sqrt(3) + 373\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42654.\nAnswer: 2, 3, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -z - 3*m + 28, -4*z - 4*m + 52 = 0. Let j = z + -16. What is the lowest common multiple of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -340*z - 342. What is the thousands digit of i(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 41 = -136. Suppose 4*f + 5*y = -48, 2*y = -2*f - 8 - 14. Let i = f + v. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.13*-2.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*z - 168 = 0, 5*z = 4 + 6. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and 601?\nAnswer: 150.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20109 = 4*h - 5*h - 3*i, -4*h - 80409 = 3*i. What is h rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1\/11, 4, 14, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 222\/3029?\nAnswer: 222\/3029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 16*r - 171. Solve -r*i = -23*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5406\/836335 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/(-1440))\/(1\/(6\/(-22)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 4*a**2 + 3*a + 4. Calculate the lowest common multiple of 0 + (-6)\/3 + 10 and i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -5d59?\nAnswer: -5d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.6 - 28. Let w = a - 289.6. Let l = w + 259.99999849. What is l rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(2*l - 4*l + 3*l) - 3*l + 0*l + 2*l - 8*l + l + 2*l)*((-3 + l + 3)*(-172 + 0 - 13) + 0*l + 0*l - 2*l).\nAnswer: 748*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*a + 19 = -5*a, 4*k + 27 = -3*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i - 3*i**2 + 5 - 3*i - 17 - 5*i**2 with respect to i.\nAnswer: -16*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = s - 36. Suppose 3*h - 178 = -s*v, -7*h + 130 = -5*h - 3*v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 + d**3 - 7*d**2\/2 + 4*d - 19. What are the prime factors of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (257 - 12\/6). Let c = b + 271. Solve 0*j + c = -4*h - 2*j, -4*j - 15 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y. Let c be 2*(0 - (-11278)\/4). Suppose 12*i + 4619 - 72287 = 0. Let w(p) = -c + 3*p + i. What is r(w(l))?\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5156 + 5162 = -3*q - 12*z, 0 = -2*q + z - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771944, 771943, 771942, 771941?\nAnswer: 771940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 0, -2*g = -z + 16 - 7. What is the second smallest value in 5, -1\/10, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 3*s**3 - 4*s**3)*(6895 - 4457 + 15833 + 7730 + 5284).\nAnswer: -31285*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 4, z: 2}. What is prob of sequence fqqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -66 (b) 3 (c) -4 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/7 (b) -0.2 (c) 2 (d) -5440\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w)\/w**(3\/5))**(2\/81))**(-22) assuming w is positive.\nAnswer: w**(-968\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5, 3514291?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**5 - z**5 - z**2 + 0*z**5 - 2*z**5 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 6, w: 2, m: 4}. What is prob of sequence mmb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 14*o**2 + 52*o + 22. What is the least common multiple of 3 and s(17)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 13?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1664315 + -1345?\nAnswer: -1665663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/((1*sqrt(77) + sqrt(77))\/sqrt(11)))\/(sqrt(16)\/sqrt(2)*6 + (sqrt(392) + -2*sqrt(392) - sqrt(392) - sqrt(392))))**2.\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 - 3*d. Let i be f(4). Solve -4*c - 29 = 3*u, -u - 3*u = i*c + 32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 19, 4, 14 in decreasing order.\nAnswer: 19, 14, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/12 + 4*p**2. Let z(d) be the third derivative of -d**5\/30 - 27*d**3\/2 - 4*d**2 + 252. What is q(z(k))?\nAnswer: -4*k**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 1\/2*o + 1\/4*o**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -17, 2\/11, 1, 1\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6588.33 - -6589. Let h = -0.631 - 0.139. Let c = h + i. Put 0.3, -5, c in descending order.\nAnswer: 0.3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -m - 9*y + 19, -5*m + 5*y = -75. Let p be 12*10\/(-30) + m*1. Solve 0 = -4*x - 0*x + 5*a + p, x + 4*a = -18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 + 86)*(0*n + 2*n + 0*n)*(262 - 15*n**2 - 262).\nAnswer: -1980*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 2475*b**3 + 2*b**2 + 6696 - 6696.\nAnswer: 2475*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -10, 2 in increasing order.\nAnswer: -10, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 700, 695, 688, 679?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 9. Let s be f(3). Suppose -s*a + 28 = a. Suppose 3*y + 3*j - 18 = 0, a*j + 22 = y + j. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 480 + -585. Let g = r - -111. Solve 3*d - g = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19*h = -3304. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/50 and -1\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 499722 + -284473. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11114, 44461, 100038, 177845, 277882?\n\"Answer: 11115*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 15) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 262044.1 centuries in years?\nAnswer: 26204410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/50 + 4128\/8400?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*n**2 - 18*n**3 + 49*n**3 - 68*n**2 wrt n.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.8 - 33. Which is the second smallest value? (a) r (b) -4 (c) -1 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8295*u**2 - u - 2738*u**2 - 15 + 15.\nAnswer: -11033*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + k**2 - 1. Let o be q(1). Let w = -63 + 313\/5. What is the nearest to -0.1 in 5, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616418508 - v**2 - 616418508.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600 = a + a. Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -18. Let w = i - 1. What is the third biggest value in 4\/7, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(847) + sqrt(847) + (sqrt(700) + -2)**2).\nAnswer: -3525 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -312?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 - -5 - (-13 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1))**(-4\/19))**2)**(-19) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -2, 1328 in decreasing order.\nAnswer: 1328, 192, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1100100111000100000011?\nAnswer: -1100100111000100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6533 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1919, -1940, -1973, -2018, -2075?\n\"Answer: -6*d**2 - 3*d - 1910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 47*q - 2299. Let f be v(-77). Solve 14*m = -f*m + 50 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44231 is divided by 960?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -1 + 0*c**3 + c**4 + 12\/5*c**5 + 0*c**2 + 15*c + 7\/10*c**6. Factor d(t).\nAnswer: 3*t**2*(t + 2)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:39 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose 4*o = 2*o - j, n + o = 8. Let u(z) = -z + 11. Let v be u(n). Solve 0 = 2*k + 2*f - v, 19 = 3*k - f - 4*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -3, 3, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3864.4 millennia?\nAnswer: 386440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49583251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100345302?\nAnswer: 2, 7, 97, 810269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let u = -0.1104394 - -3.1104288. Let n = u + t. Round n to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 322032334*l**2\/7.\nAnswer: 2*l**2*(l - 161016167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**4 + 6550*q**3 + 2093185*q**2 - 8556940*q - 25434300 = 0.\nAnswer: -745, -569, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -58) + -6 + -7 + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -5*n - 5*b, 0 = 5*b - b + 4. Let r(s) = 3*s**2 + 8*s + 3. Let v be r(-5). Let y = n + v. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01254645095 rounded to four decimal places?\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 1182, -4, 1, -1 in ascending order.\nAnswer: -6, -4, -3, -1, 1, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - (-40)\/6. Let h(u) = -u - 7*u - m + 0*u + 7*u. Let s be h(-4). Let a(o) = 2*o**3 + 4*o**2 + 3*o + 2. Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -4)\/(-3) - 6. Let r = -122 - -121. Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let b be w(6). Suppose b*x - 30 = x. Suppose x - 22 = 4*a. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x. Let q(j) = -2165*j**2 + 3*j. Give q(d(u)).\nAnswer: -106085*u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236 + 634. Calculate the remainder when r is divided by 135.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*c**2 + 125*c**2 - 518*c**2 + 126*c**2 + 121*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 8*b + 4. Let g be i(-8). Suppose -23 = -3*m - v - 0*v, -4*m = -g*v - 52. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -21. Is 7 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-1 + sqrt(17)))*1 - (((-2*sqrt(425))**2 - sqrt(425)) + sqrt(17))) + (sqrt(204) - (3*sqrt(204)*2 + sqrt(204)))\/sqrt(12).\nAnswer: -1699 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 17*j**5\/60 + j**4\/12 + j**3\/6 + j**2. What is the units digit of o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-5) + (-12012)\/(-105) - 6 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 5. Let z be u(6). Let f be 2\/z - 532\/(-20). Suppose -3*g - 2*a = -7 - 46, 0 = g - 4*a - f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*w + 14 = -2*w, -11 = 2*z + 3*w. Suppose 3 - 2 = q - 2*s, -2*q + z = -2*s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0390037 + 0.039. What is s rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = -50. What is the remainder when 106 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(162))*-3 - 3*sqrt(162)*-3)**2.\nAnswer: -972*sqrt(2) + 17523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-4))\/((-34)\/2). Suppose -3*p = p + z - 19, -3*p + 9 = -z. What is the third biggest value in o, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418 - 415. Solve 3*o = -3*f + 3, o + x = 3*f + 6*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13905 and 50.\nAnswer: 139050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 249?\nAnswer: 23655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -606.999174 - -607. Round q to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 91 - 1 = 0. Let v = w - 27. Suppose -2*f + 5 = -v. Solve 0*h = l - 2*h - 7, -3*h - 27 = f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9 = -4. Suppose 5*z + 5*q = -5, 3*z + 5*q = 1 - 12. Solve z = 2*o - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1022 or -947?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 + 14566*i**2\/11 - 14568*i\/11.\nAnswer: 2*i*(i - 1)*(i + 7284)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 + 4*v + 7. Let g = -321 + 336. Suppose g = 3*n - 0. What is b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1052 - -0.107815\nAnswer: -1051.892185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41412 + 27411. Let l = 392135\/28 + m. Calculate the common denominator of l and 63\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/204 and (688 - 35)\/(1 - 307) + 2?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 539a24a + -9?\nAnswer: 539a241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 713, 720?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c + 3. Let l be s(0). Suppose -3*k = 4*o - 14, l*k = 2*o - 3*o + 8. Solve -k = 2*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002620128 rounded to six dps?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f\/(f\/(f**(-5)\/f*f)))\/(f\/(f*f\/((f*f\/f**(2\/19))\/f)*f)*f**(-2\/9)) assuming f is positive.\nAnswer: f**(-286\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/2*26\/(-39). Find the second derivative of 17*a**5 + 48*a**y + 110*a**5 - 31*a**5 + 173*a**5 + 220*a wrt a.\nAnswer: 6340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g**2 + g - 1. Let j be 63\/14 - (-1)\/(-2). Suppose -s + 3*s = j. Does 4 divide a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(228)*-2)\/(-1*(sqrt(12) - sqrt(48)\/sqrt(4)) - sqrt(12)) - (sqrt(114)\/(3*sqrt(6)) + sqrt(19) + (3*sqrt(19)*4)**2)).\nAnswer: -2*sqrt(19)\/3 + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5622 + 5622. Solve 6*d + q + 5 = t, -3*d - 10 = -7*d + 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -95*y**4\/24 - y**3 - 7*y**2. Let i be z(-4). What is the greatest common factor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361456 divided by 4?\nAnswer: 90364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 38 - 82 + 26 - 5*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6)*(-810)\/25. What is the highest common factor of a and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13383*z - 13383*z - 76*z**2 + (-4*z + 4*z - z)*(1 + 2*z - 1) - 4*z**2 + 0*z**2 + 3*z**2 + z**2 + z**2 - 5*z**2 in the form g*z**2 + r + f*z and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 12 = -14*r + 2*h, 5*h = 3*r + 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 12\/(-3)*1. Suppose -j + 13 + y = 2*i, 4*j - 8 = 4*i. What is z in j - 15\/4*z**3 - 51\/4*z**2 + 21\/2*z = 0?\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18944552, 18944586, 18944610, 18944618, 18944604, 18944562?\n\"Answer: -h**3 + h**2 + 38*h + 18944514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r + 9 = 0, -4*n + 4*r = -24. Let t(a) = -a + 0*a - 7*a**2 + a**3 - 10*a - 7*a + 14. What is the remainder when t(n) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 107 = 3*s + 9*i, 4*s = 2*i + 106. Solve 3*k + 2*r + 23 = 0, -17 + s = -3*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20*u - 21*u + 6 = 0, -3*a + 3*u = -27. Solve -a*y - 24 = 2*j, -4*j + 14 = -3*j - 4*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 353, 436, 503, 548, 565, 548, 491?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**4*b))\/b**5*(b**(2\/7)\/b)**(-2) assuming b is positive.\nAnswer: b**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (-5*(sqrt(208) + sqrt(208)*-1 + 2))**2 + 4 + sqrt(208) + 0 + -3)*-3.\nAnswer: -282 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 18*o - 14. Let h be x(16). Suppose 8*t - h = 2*t. Solve k - 9 = 5*i, 2*i - i = -t*k + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 12*v**2 - v - 20. Calculate l(-11).\nAnswer: 1201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/548 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 148, 235, 338, 463, 616?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3)*((-w + 0*w - w)*(-2 + 0 - 1) + 25*w - 3*w + 3*w) to z + l*w and give l.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 127*s - 166, 0 = 2*i - 7*s + 10*s - 5*s - 48 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t = -146*t - 608 + 48 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 2*q**2 - q**4 - 5 - 11*q**2 - q**4 + q**4 in the form i*q**3 + r + n*q**2 + l*q + c*q**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 + 0 = 0. Let z = -144 + 1006\/7. Let c = -157\/35 - z. Is c bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808 = -263*l + 507. Solve 0 = l*w - 3*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 291160922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 113 + (-36)\/16 + 2\/8. Let z be r + (-3 - -6)*-1. Let a = z - 87. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1495, 2986, 4477, 5968, 7459, 8950?\n\"Answer: 1491*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*d**3\/11 - 1142*d**2\/11 - 380*d\/11 + 1376\/11 = 0.\nAnswer: -86\/73, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/15 + a**4\/3 - 16*a**3\/3 - 41*a**2 - 44*a + 2. Let u(b) be the first derivative of t(b). Suppose u(w) = 0. Calculate w.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 2, a: 4, w: 1, p: 8, c: 2}. Give prob of sequence wa.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:57 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 45. Let d = f + 39. Which is the second biggest value? (a) d (b) -0.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4091.\nAnswer: 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.21.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4541, 4545, 4553, 4565, 4581?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 8010.188642.\nAnswer: 8009.988642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*n**5 - 2*n**4 + 139*n**2 wrt n.\nAnswer: -5760*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 2. Let h be n(-2). Let d = -8 - h. Suppose a + 29 = d*a. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 876104836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3508051, 3508049, 3508047, 3508045, 3508043, 3508041?\n\"Answer: -2*f + 3508053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 663 divide 438462681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 3*l**4\/4 + 2*l**3\/3 + l**2\/2 - 5283*l. Calculate t(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6628089?\nAnswer: 3, 13, 169951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:47 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and -23\/13322?\nAnswer: 26644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 388*s + 392 = 0. What is s?\nAnswer: -98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111000 (base 3) to base 13.\nAnswer: -a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/25484516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21217 and 190087?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 62 = 43*t, 115*b = 62*b + 51*b + 3*t + 41 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 + w**3 - w**2 + 2*w. Let k = 5596 - 5589. Calculate r(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062098768?\nAnswer: 2, 41, 1619053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.09 - -42. Let m = 0.35 - z. Let s = 3.56 + m. Put -0.3, s, -0.5, 0.4 in decreasing order.\nAnswer: s, 0.4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 108*r**2 - 5367*r + 57627. Calculate f(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 23. Let p be f(4). Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let b be w(-3). Let u(l) = -l**2 - 41*l + 6555. What is the lowest common multiple of u(-104) and (b + -3)\/((-2)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + 38.9. Let r = 38 - h. Let g = 0 + 0. Which is the third smallest value? (a) r (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 26278*j**2 + 3895150*j + 20132950 = 0. What is j?\nAnswer: -5, 155, 12989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 31*q**2 + 7*q. What is z(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-298575)\/(-1125) + (-7)\/5. Solve -c*f + 260*f = 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2. Let j = -3 + 5. Let g(n) = j*n - 2*n + 2*n. Determine g(k(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -361.95899 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -75*g**2 - 91*g. Let n(h) = 37*h**2 + 45*h. Let i(z) = -2*k(z) - 5*n(z). Find the second derivative of i(w) wrt w.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let p(y) be the first derivative of 19*y**4\/24 + 11*y**2\/2 + 14. Let c(f) be the second derivative of p(f). Calculate w(c(b)).\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 - 8540*c**2 + 867112*c + 1768416 = 0.\nAnswer: -2, 109, 2028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*2\/40*256\/32\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26 - 11*f + f**2 + 2*f + 24*f. Let n be v(-13). Is 3\/11 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -1\/96*q**4 - 1\/160*q**6 + 0*q - 1\/80*q**5 + 0 - 1\/840*q**7 + 0*q**3 - q**2. Factor b(h).\nAnswer: -h*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-48))\/((-1)\/2). Let h = -17 + 10. Let k = -7.5 - h. Which is the closest to 1? (a) k (b) 3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 66*q + 70*q)*(-2 + 4*q + 0 + 3*q).\nAnswer: 945*q**2 - 270*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-22))\/(246 - 244). Let s = 0.2 + 0. What is the second smallest value in 4, g, s, -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and (-325 - -1)*168\/(-252).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/3 - 130*y**3 + 8620*y**2\/3 + 25040*y + 45696 = 0.\nAnswer: -4, -3, 34, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 118916922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/78)\/(5 + 2 + -6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(((sqrt(1539))**2 - sqrt(19)) + 4) - ((sqrt(209) - (2*1*sqrt(209) + sqrt(209)) - sqrt(209))\/(sqrt(66)\/(2*sqrt(6))))**2.\nAnswer: -2227 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 7, m: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((483\/(-1918))\/(-23))\/((-1540)\/1925*(-30)\/32).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 40*w = 468. Calculate the highest common divisor of 522 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*r = 0, x + 3*r = 3*x + 5. Suppose -x*d = -2*t - 7615, t - 309 + 4103 = -2*d. Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024586 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 4*b + 12. Give d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by 63?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 + 312. Is 10592\/24*(-3)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2451 (base 8) to base 12.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 - 30*v**2 - 1386*v wrt v?\nAnswer: -12*v - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 83*i - 558. Give a(-7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 + 1 - -10 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 o when three letters picked without replacement from {x: 6, m: 1, o: 2, t: 1, z: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9*i*i)\/(i\/(i\/i**(8\/7))))**(-2\/79) assuming i is positive.\nAnswer: i**(-138\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101 - 107c1?\nAnswer: -106c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 273983.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(36)\/(sqrt(2)*2))\/sqrt(9) + (sqrt(12)\/(sqrt(294) + 5*sqrt(294) + sqrt(294)))**2.\nAnswer: -9602\/2401 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6865 = -s - 3*r - 1312, 2*s - r - 11085 = 0. What are the prime factors of s?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 37. Let n be ((-18)\/3)\/(0 - s\/8). What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 4709.\nAnswer: -22\/4709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from exxexixxexxxexixexx.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104, -104, -110, -122, -140, -164, -194?\n\"Answer: -3*w**2 + 9*w - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*r + 0 + (0 + 4 - 5)*(r - r - r) + (-r - r + 3*r)*(-1 + 1 - 2) to the form a*r + v and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**3 + 13*a**2 + 30*a - 78. List the prime factors of y(11).\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.05 (b) -184 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 - 93*r + 198 = 0. What is r?\nAnswer: -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45863 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2 = -34*c + 33*c, -b + 10 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 19 (c) -1 (d) -5\/4 (e) 1\/62 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.1. Suppose -120*f + 125*f - 10 = -5*l, -2*f + 2 = 0. Which is the nearest to l? (a) 6 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1161, -1159, -1157, -1155, -1153, -1151?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -151. Let h = x + 372. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -8, 70.\nAnswer: -22, -8, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*c + 30 = 0, -2*x + 2*c = -x - 3. Suppose 5*m + 3*k - 11 - 21 = 0, -m + 5*k + 12 = 0. Let t = x + m. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, 597, -2494, -0.2, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/27)\/a))\/(a**(3\/4)\/a)*(a*((a**(3\/17)*a)\/a*a*a)\/a)\/((a**(-2\/103)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(637637\/189108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7683*a**3 - 147*a**2 + 4*a + 697. Let h(y) = 5122*y**3 - 105*y**2 + 3*y + 465. Let c(n) = -7*h(n) + 5*u(n). Find the second derivative of c(f) wrt f.\nAnswer: 15366*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13206 and 426.\nAnswer: 13206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 14 - 3)*(-p + 3*p - p) - 2*p - 2*p + 6*p + (0*p - 2*p + 0*p)*(2 + 3 - 3) + 1 - 1 + 9*p to f*p + w and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 0*n + 2*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27376 and 0.16.\nAnswer: 4380.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7\/(h**(-1)\/h*h) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*m*z - g**3*z - 30*g**3 - 24*g**2*z - g**2 + 2*g*m - 2*m*z wrt g.\nAnswer: -6*m*z - 6*z - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26167097 divided by 17\nAnswer: -1539241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17, 14, -1\/68, -1\/6, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 3*d - 31*d + 3*d**2.\nAnswer: -4*d**2 - 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 403171819 a multiple of 1110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**8\/2240 - y**7\/2520 - y**4\/12 + 2*y. Let t(c) be the third derivative of k(c). Find the third derivative of t(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36006*n - 8573*n - 8654*n.\nAnswer: -53233*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00181814 rounded to five dps?\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33204 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 99*t - 97*t - 14, 3*g = -4*t + 7. Let h(u) = -u**3 + 3*u**2 + 7*u - 4. Let x(k) = k**3 - 2*k**2 - 7*k + 3. Determine g*h(n) - 4*x(n).\nAnswer: -n**3 - n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = -5*g - 30, -3*u + 1 = g. Let s be 12\/(-9)*3\/u. Let r = 136 + -136.3. Put r, 0.3, s in descending order.\nAnswer: 0.3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -5*j**8\/56 + j**4\/2 - j**2\/2 - 15*j + 2. Find the third derivative of u(b) wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 531*w + 10487. Determine j(-20).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2144 + -34?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i**2 - 478*i + 346*i - 27*i**2 as d*i**2 + y + b*i and give b.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 24*i**2. Let u(z) be the third derivative of -11*z**5\/30 + z**2 + 377*z. Give u(p(a)).\nAnswer: -12672*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4*k - 2*k + 169 + 131.\nAnswer: -6*k + 305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -945, 4, -16575 in decreasing order.\nAnswer: 4, -945, -16575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2148669847 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10078435.1 + 265850.\nAnswer: -9812585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.03 + 40.97. Let r = z - 42.00125. Round r to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z - 5 + 5 - 2*z + 2 - 2 + (-6*z + 2*z + 2*z)*(-1 + 3 + 0).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12366 and 224191.\nAnswer: 12106314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*t**2 - 81*t**2 - 10*t**2 + (0*t + 2*t + 3 - 5)*(-2*t - t + t).\nAnswer: -75*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, -8, 2\/13, -15, 0.3.\nAnswer: -15, -8, 2\/13, 1\/5, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288) + -2 + 0.\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129746.\nAnswer: 2, 29, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 16) to base 15.\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 209 * -0.5\nAnswer: -104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2713151 (base 8) to base 9\nAnswer: -1376628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:28 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 10863 = -3*a. Round a to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8004 by -92.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggmmggg. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*l = -2358, 0*m - 5*l + 2960 = 5*m. List the prime factors of m.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 11*o - 37 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 48. Put 4, c, -0.3 in ascending order.\nAnswer: -0.3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 151. Let q(h) = 6*h**2 + 6*h - 3. Let c(o) = 9*o**2 + 8*o - 4. Let z(m) = 3*c(m) - 4*q(m). What is z(s(n))?\nAnswer: 3*n**4 + 906*n**2 + 68403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * 0.71.\nAnswer: -61.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/12 + 647*g**3\/6 - 23*g**2\/2 - 23. Let l(i) be the second derivative of q(i). Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72.7382 and -0.51168.\nAnswer: 72.22652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*s + 28*s - 22*s)*(28*s**3 - 2 - 4495*s**2 + 4495*s**2).\nAnswer: 1036*s**4 - 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 1 o when three letters picked without replacement from {a: 2, v: 2, u: 3, p: 4, o: 3, s: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 13267078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Let c = -2 + s. Let q = 1 - c. Is q at most -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 15 - (-7)\/(-3)*(-3 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 2. Let u be m(4). Suppose -3 = -u*r + 15. Let l be 146\/30 - r - 2. Which is the biggest value? (a) l (b) 1 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/11 (c) 10\/3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 - -49349928123?\nAnswer: 49349928026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (7 - 6) + 5 - -4. Let k(o) = 2*o**2 + o. Let g be k(-1). What is the highest common factor of g and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9*6\/(-8)*4. What is the third derivative of -10*j**2 + 35*j**3 + 8*j**2 + 0*j**2 - v*j + j**5 wrt j?\nAnswer: 60*j**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 3*s + 10. Let l be j(4). Let h = l + -50. Suppose 31 = 3*x - 2*w + w, -h*x - 5*w + 35 = 0. Is x greater than or equal to 55\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**2 + 0 + 2\/3*r**3 - 2*r. What are the prime factors of z(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 2435 (c) -1\/350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -392 and -392 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 218, -2\/5, 1\/4, -137, -0.3, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 21*t + 62. Calculate x(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045839111 to the power of 1\/2, to the nearest integer?\nAnswer: 71034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 3 - 3781*g + 3019*g.\nAnswer: -762*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161408*b**5 - 16745*b**2 + 5*b + 2?\nAnswer: 9684480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148608.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.85?\nAnswer: -4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 2*x**2 + 6*x + 1. Let i be v(-3). Let f = i - 23. Which is smaller: f or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 47\/6, 0.3, 3, 2\/13, 2\/5 in increasing order.\nAnswer: 2\/13, 1\/4, 0.3, 2\/5, 3, 47\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*r**4 + 0*r**3 + r**3 - 28037181*r**2 - r + 28037164*r**2 to the form z*r**4 + f*r**3 + i*r**2 + l*r + w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let k be 3*(17 - 7 - 11). Put u, 5, k in descending order.\nAnswer: 5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -24. Suppose 2*m - 2 = v. Let z = -5 + m. Solve h - 4 = -p + z, 4*h = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*s**4 + s - 25*s**2 + 17*s**2 + 12*s**2)*(-3 + 9 - 8).\nAnswer: -98*s**4 - 8*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 1733 - 413. What is the common denominator of -7\/36 and ((-6)\/(-5))\/2 + (-861)\/j?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836145 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 552 - 552.4. Let j = 236\/13 + -18. Which is the second biggest value? (a) i (b) 1\/5 (c) j (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -10*b - 18. Let s be ((-38)\/8)\/((-4)\/32). Let t = s - b. Solve -4*r = 2*g - t - 9, -r = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 = 3*t - 2*q + 428, 3*q - 49 = 16*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2363*s**2 - 1758*s - 14353115 wrt s?\nAnswer: 4726*s - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13560 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 8*j**2 - 7*j + 3. Let h be v(7). Suppose h*y = -3, -4*f + 2*y + 3*y = -17. Solve f*s + 2 = 4*p, 0 = -2*p + 5*s + 8 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -40. Let b = -13 - y. What is the second derivative of -8*k - k**2 + b*k - k**2 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1426, 1489, 1576, 1693, 1846, 2041, 2284, 2581?\nAnswer: 2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - (8 + -4 - (2 - 2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-85) + 4\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g**6*g))**(-47) assuming g is positive.\nAnswer: g**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110\/7 + -3218\/203. Put f, -3\/5, 0.3 in descending order.\nAnswer: 0.3, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 566401.\nAnswer: -56640.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - 4*z)*(5*z**2 - 2*z**2 - 4*z**2) + 4*z**3 - 6*z**3 + 4*z**3 + (9*z - 9*z + 2*z)*(-17 + 17 - 14*z**2) + 0 - 4*z**3 + 0.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0092 and 0.08.\nAnswer: 0.000736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-90) - (-20)\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -12*b + r + 182, -13*r + 18*r + 118 = -3*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 29 + 7. Suppose -15 = -z - 3*f + r, 3*f - 84 = -3*z. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424695?\nAnswer: 3, 5, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17))**41*l*l**(-1\/18)*l\/((l*l*l**(-2\/27)*l*l)\/l*l) assuming l is positive.\nAnswer: l**(-6247\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:01 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1855954845463+0.2\nAnswer: -1855954845462.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 19*k**2 - 9. Let g be y(4). Let z = -3251\/11 + g. Does z = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -556? (a) -2 (b) -3.7902 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(4) + (sqrt(64)\/sqrt(2))**2 + sqrt(32).\nAnswer: 8*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.9. Let x = -0.2 - -1.2. Let c = x - r. What is the third biggest value in c, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let n(p) = 3*p**2 - 4*p - 4. Let a(w) = 2*w**2 - 3*w - 3. Let v(g) = -4*a(g) + 3*n(g). Calculate v(o(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626676 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 136578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x + 10 = 0. Suppose 0 = -x*i - 41 + 351. List the prime factors of i.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Suppose 30*c = -8 + 4 + 4. Let a(p) be the second derivative of -9*p + 0 + 2\/3*p**3 + c*p**2. Calculate a(q(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -72. Suppose 401 = -5*b + 4*r, 0 = 8*b - 4*b + r + 304. What is the common denominator of -64\/3 and (-11)\/v*b\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121635 divided by -24327.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.10266.\nAnswer: 0.41064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w - 22*w - 79*w)*(2*w**2 + 3*w - 3*w)*(-3*w + 0*w + 2*w).\nAnswer: 136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2371736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 254\/2 - (-1 + 0). Suppose -4*n = -0*f + f + 7, -4*f - 4*n - 52 = 0. Let u be (-12)\/f*5*4. What is the greatest common factor of u and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154568748 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-8)*(1\/2)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151 + -155 + 3 + -10 - 91\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 32*i**2 - 63*i**2 + 2 + 2*i**4 + 32*i**2 - 2*i to the form h*i + c + v*i**4 + j*i**2 + m*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from vqcvqycybbbby.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/215)\/((-4)\/(-5)). Let i = 2\/43 + y. Find f such that f + 1\/2*f**2 + i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*s - 23, -4 = -k - k. Suppose s*r - 19*r = -24. Solve 2*y + 2*y - 3 = 5*t, 3*t - r = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**5\/20 + k**4\/3 + k**3\/6 - 2*k**2 - 5*k. Let f be s(-3). Let t be (1*-2)\/(-2) + -1. Solve -f*a + 6*a = t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 3116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358192 and 3.\nAnswer: 1074576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*j - 2 + 1 = 0, b + 5*j + 11 = 0. Let f be (15\/(-3) + b)\/(-1). Suppose 2*o = f, 0*o - 43 = -5*n - o. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 4*l + 4. Let t be r(-2). Let o = 23 - t. Suppose -5*m + 32 = -28. Calculate the remainder when m is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168615333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 7*h + 6. Let s(n) = 4*n**2 - 15*n - 13. Calculate 13*q(w) + 6*s(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**3 + 63*a**2 - 104642.\nAnswer: -30*a**2 + 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -68. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4772 (base 12) to base 5.\nAnswer: -23342431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 140 = -6*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) - (-1396)\/(-176). Let v = 91\/12 + o. Let h = 4313 - 4315. What is the nearest to h in 3, v, 0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 302\/149 in 2, 3, 0.3, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -y + 13, 3*w - 33 = -5*y - 3. Which is bigger: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 + h**4\/12 - h**3\/2 + h**2\/2 + 2*h. Let x = -5 + 7. Suppose b + 1 = 2*j, -5*j + 4*b + 4 = x*b. Give n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 9*l + 10. Calculate the remainder when 64133\/118 + (-54)\/12 is divided by d(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001059228035 rounded to 7 dps?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4 - 6. Let a be (0\/(-1))\/(o + -5). Suppose -n - 4*n - 5*r = -30, -2*r - 2 = a. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**3 - 2*x**3 - 3*x**3)*((1 + 1 + 0)*(0 + 3 + 0) - 1 + 2 - 2) to the form g + u*x + h*x**2 + o*x**3 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let s(d) = -19*d - 8. Let p(q) = -24*b(q) + 3*s(q). Let g be p(1). Let o = 57 + g. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -803, -1602, -2413, -3248, -4119, -5038, -6017?\n\"Answer: -2*m**3 + 6*m**2 - 803*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 10. Let r be x(-29). Let i = -51 + r. Let h be 10\/i - (-4)\/((-84)\/(-87)). Solve -2*z + 4*z + 4*l = 16, h = z + l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 605\/282?\nAnswer: 605\/282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 times 15.5\nAnswer: -0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 25*o\/8 + 1\/4.\nAnswer: (o - 2)*(12*o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 770\/(-275) + 684\/(-45).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 42*z = -108. Suppose -4*p - 1422 = -3*l - 2*p, -3*l + 1422 = -5*p. Suppose m - z*m + 2*x = -l, 2*m + 4*x - 474 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -88.\nAnswer: -51\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l - 1. Let k(g) = g**3 + 6*g**2 - 8*g - 8. Let b be k(-7). Let f(w) = 2*w**3 + 2*w**2 + w. Let j be f(b). Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -18, -2\/17, -136, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-35)\/(-600) - 3\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55*50\/1375*2\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 3*j, 5*j - j + 5*i = -15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 264999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o**(-6)\/o)\/(o\/(o*o**(-4\/7)\/o)*o*o**(2\/15)))\/((o**1)**4\/(((o**(-1)\/o)\/o*o)\/o)**5) assuming o is positive.\nAnswer: o**(-2909\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.3 - 155.7. Let v = 327 + b. Let q = v - 138.99. Round q to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 29 = 5*b - 4*z, 15 = -3*z. Suppose -b*v = 2*v. Solve v*p + 6 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 - 540*w**3 - 14372*w**2 + 473340*w + 14359176 = 0. What is w?\nAnswer: -69, -26, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -3 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -863 bigger than -1030772\/1195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10) + (-25 + 7 - 21) + -6 + 9.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 42*n + 18 = 46*n, -3*n + 4 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*d + 8, d + 32 = 4*z - 3*d. Let g be (0*5\/(-20))\/(-2). Solve g*f = f + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s + 59*s + 19*s + 43*s to n + a*s and give a.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnfu when four letters picked without replacement from nnnnnfnfnu?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 11:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 20865?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.027, 2\/3, -3, 5?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/79)\/(f\/f**(-2\/3)) assuming f is positive.\nAnswer: f**(-401\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -15*v**5\/2 - 9*v**4 + 6*v**3 + 9*v**2 + 3*v\/2 = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/6)*n)**(-4\/13)\/(n*n**(-26)*n*n*n**18*n))**(-2\/19) assuming n is positive.\nAnswer: n**(-268\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 53775a04?\nAnswer: 53775a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(33)\/sqrt(3)) + sqrt(5)*-2 + -2)*4.\nAnswer: -4*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/90)\/(46246\/48680)?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11899, 12266, 12633?\nAnswer: 13000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 + 22*w**2 + 5*w + 6*w. Let p(h) = -3*h**2 - 2*h. Let k(s) = -4*l(s) - 22*p(s). Let g(x) = x + 7*x - 3*x. Determine k(g(v)).\nAnswer: 150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1212, 1199, 1186, 1173, 1160?\n\"Answer: -13*d + 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)\/d)\/d**(1\/4))\/(d**15*d**(-1\/4)*d) assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 490d (base 15) to base 8\nAnswer: 36262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.72 + -1.67. Let a = w - -0.25. Put a, -0.32, 2\/15 in decreasing order.\nAnswer: a, 2\/15, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0 - 1) + -19 + 14 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.293+-35\nAnswer: -35.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 8*h**2 + h + 9. Let y(q) = 2*q**2 - q - 4. Let z be y(4). Let o = 16 - z. Let l be k(o). Solve -2*d + l = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003574 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186529.\nAnswer: 7, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 14. Is c(-17) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuullu. What is prob of picking 2 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 3, 7, 11, 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 0 + 8 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*x - 8, -b + 4*b = -4*x + 13. Let q = 5 - b. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 2223*d**4\/4 - 475*d**3\/2 - d**2 + 7090*d. What is the second derivative of o(b) wrt b?\nAnswer: 13338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 4*d - 8. Suppose -3*b - 3 = -k, -2*k - 1 = -b - d. Suppose k*g = -4*g + 820. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/2 + 10*i**3\/3 - i**2 + 4*i - 2246. Give j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5\/8 + 165*q**4\/8 + 513*q**3\/8 + 519*q**2\/8 + 87*q\/4.\nAnswer: -3*q*(q - 58)*(q + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17704 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 38734 = 4*w, 2*t + 62747 + 14730 = 5*w. Is t\/(-4)*(-102)\/(-51) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, -4\/5, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.51 + 4.49. Let q = -5 + z. Let k be 4\/(-6)*3\/1. What is the third smallest value in q, k, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 - (5 - -1)) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/(-10) - (-416)\/130*2\/(-16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - -8.13393.\nAnswer: -7.86607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -15. Suppose 48 = 4*z - i*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbnnnlybnyby. What is prob of sequence by?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/48*1\/(-7)*-35. Let v = 480 + -475. What is the closest to 0 in -3, v, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -49, -41, -31?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1430.3194 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + a**2 - a - 1. Let g(v) = 4*v**3 + 1559*v**2 + v + 1. Calculate g(r) + j(r).\nAnswer: r**3 + 1560*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 take away -363592.03?\nAnswer: 363760.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 bigger than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 31346 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (-1764)\/729*(-33)\/(-11). What is the fourth biggest value in p, 0, 0.24, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {m: 14, g: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595 (base 11) to base 15.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128590*f**3*v**2 - 17*f**3 + 821*v + 3 wrt v?\nAnswer: -257180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -21237 + 21237 + 3*w. Let v(h) = 2 + 11*h - 2. Give v(t(m)).\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/143007 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1339*b - 44176. Calculate d(33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31503497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*a - 12 + 31, -a = 2*b + 15. Let i be (-32)\/112 - 23\/b. Suppose c + i*c - 16 = 0. Solve l - 2*m + 10 = 0, 5*l - 5*m + 39 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173150 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-10)*2230\/892.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 5420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3066 divided by -73\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 8*j**2 + 11*j - 4. Let b be f(9). Suppose 13 = 3*i - b. Suppose -2 = -x + 2. Calculate the least common multiple of x and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Solve -2*x + q = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from oioi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*j + 140 = 0, 0 = 11*p - 12*p + j + 32. What is the common denominator of 71\/124 and p?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let s(v) = -v. Let n(c) = -3*s(c) - 2*w(c). Let d(h) = 26*h + 157. Let u be d(-6). Let l(r) = r**2 - 6*r. Calculate u*l(y) - 6*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 384503, 384501, 384499, 384497, 384495?\n\"Answer: -2*x + 384505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/9 + 13226*w**4\/9 - 252148*w**3\/9 - 291808*w**2\/3 = 0.\nAnswer: -6632, -3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -10. Let n(f) = -f**3 - 8*f**2 + 8*f + 3. What is the units digit of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109805103 and 9387.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 25 = w, 2*y - 45*w - 30 = -41*w. Calculate the greatest common divisor of 25 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa6 - 13?\nAnswer: a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.08?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = z - 2, 11 - 3 = 4*d + 4*z. Find the first derivative of l**4 + 3 + d + 1 wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.347 - -0.047. What is the biggest value in 1\/3, -0.01, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71533024 + -164072?\nAnswer: 71368952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*(((f*f*f**(-7)*f)\/f)\/f)\/f*f)\/(f**(-2\/7)*f*f*f\/f**9) assuming f is positive.\nAnswer: f**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45027659483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -4*k. What is the remainder when 27 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 243, -5, 0, 1 in ascending order.\nAnswer: -5, 0, 1, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1260 in 1, 12, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -615*p**3 - 5*p - 9. Let g(c) = -614*c**3 - 6*c - 11. Calculate -6*f(y) + 5*g(y).\nAnswer: 620*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)\/c*c*c)**(5\/7))**(4\/41) assuming c is positive.\nAnswer: c**(80\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1424 times 2\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2))\/((36\/(-16))\/(1512\/144)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1377355?\nAnswer: 2754710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4347056577 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -11.2. What is the second biggest value in -4, j, 2\/5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-10)*80\/32*(-1282 + -3). What is the highest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**3 - 6*a**2 - 6*a**3. Let b(c) = -5*c**3 - 3*c**2. Let x(q) = 5*b(q) - 3*r(q). What is the third derivative of x(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Let j(c) be the first derivative of 0*c**6 + 0*c + 0*c**2 - 2 + 0*c**n + 0*c**5 + 1\/3*c**3 - 1\/7*c**7. Find the third derivative of j(t) wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91853941 and 554149?\nAnswer: 14977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 11. Let x = -0.03 - a. Let l = x + 0.05. What is l rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 10428*n**2 + 124812*n - 374112.\nAnswer: 3*(n - 3464)*(n - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/10)\/(4\/(-4560)). Let g = w - -1155. Is 65 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.4 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.610763ml in litres?\nAnswer: 0.004610763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.989 - -255539?\nAnswer: 255651.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 4, e: 9, o: 3}. Give prob of sequence eox.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6442980 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onto when four letters picked without replacement from oorrrurrtn?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -196*f**4\/3 + 5180*f**3\/3 - 696*f**2 - 2480*f\/3 - 416\/3 = 0.\nAnswer: -2\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - 7. Let l be (-328)\/14 + (-196)\/343. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.93308 - 0.83. Round d to 3 dps.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23630, -0.2, -93 in descending order.\nAnswer: 23630, -0.2, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 3*s + 4. Suppose 2*h + 23 = 17. Let c be w(h). Solve -3*n + 11 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288)*-1 - sqrt(288) - sqrt(288)) + -1 + 5 + sqrt(288)*3 + sqrt(288) + 4)**2.\nAnswer: 1920*sqrt(2) + 28864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(684)*-1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -8, 2\/7, -1\/3, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15a83 (base 11) to base 8\nAnswer: -54105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6800383 hours to days.\nAnswer: 0.1116682625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14596054 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 455 = n + 460, -8 + 3 = -5*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-10)*(-25)\/(-10). Let p = j + 13. Calculate the smallest common multiple of 5 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -430, -407, -402, -421, -470, -555?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 16*i**2 - 13*i - 39. Let a be y(15). Let n = 7 - a. Solve -f = 3*f - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1901 + 1947. Solve 4*r + j + 7 = 0, r + y*j = 51*j - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2 + 7536. Let t(r) be the second derivative of -53*r**3\/6 + r**2\/2 + 9*r. Calculate t(s(i)).\nAnswer: 106*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**3 - 3*b**2 - b - 12. Is q(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -35. Suppose 0 = -4*d - 22 + i. 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: In base 16, what is 213 - 1c6?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 15*g**2 + 67*g - 12. What are the prime factors of s(18)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/375 and 163\/690.\nAnswer: 17250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/36)\/((-3)\/10) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8347*x**2 + 36*x - 204. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Differentiate 0*c**3 + 4 - 1 - 6 + 3*c**b wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t - 12*t - 3*t + 9*t**2. Let d(w) = 5*w**2. Determine d(s(b)).\nAnswer: 405*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -137.7 from -2.\nAnswer: 135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 13 + 23 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - 114. Let b be (-4)\/14 + (-720)\/n. Let f(r) = -r**3 + 4*r**2 - 5*r + 3. Calculate f(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16375873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrwrrkw. Give prob of sequence ww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 19 = 5*j. Suppose -4*w + j = -30. Let l = 6 + w. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-9)*4446\/(-1140).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1724 - 1721. Which is the third smallest value? (a) v (b) -1 (c) -1\/2 (d) -26 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336399671 to the power of 1\/2, to the nearest integer?\nAnswer: 48336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2672923*g + 2075715.\nAnswer: -2672923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + y**4 + (-6*y**2 + 3*y**2 + y**2)*(7*y**2 - 2*y**2 - 3*y**2) + (45677*y - 45677*y + 4076*y**2)*(-2 + 2*y**2 + 2).\nAnswer: 8149*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6*w - 2*l + 20 = 0, 2*l = 2*w + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705664846 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -377 (b) 2 (c) -354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 579\/2 or 290?\nAnswer: 579\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/5))**(-7)\/((j\/((j*(j**(-4\/5)\/j)\/j*j)\/j))\/(((((j\/j**(-8))\/j*j)\/j*j)\/j)\/j))*(j\/(j*j**(-1\/3)))**(1\/24)*(j**(2\/5))**(1\/59) assuming j is positive.\nAnswer: j**(439\/21240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612527, -612530, -612533?\nAnswer: -612536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 92 = -4*s, 2*v - 3*s = 5*v - 129. Suppose 301*g - 19899 - 13211 = 0. Calculate the greatest common divisor of g and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 1. Let c be ((-20)\/25)\/((-10)\/(-525)*7). Let q(k) = -2*k**2 + 8*k + 3. What is c*u(w) + q(w)?\nAnswer: -2*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/20 + 52\/10 + 2. Let r be 0 - (-13 + u)\/(9\/6). Suppose -q + r*q = 2019. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 + 250*d**2 - 65*d - 2. Let g(l) = -4*l**3 + 249*l**2 - 52*l - 2. Give -5*g(t) + 4*y(t).\nAnswer: -4*t**3 - 245*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6687.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*s - 72, 5*i + 3*s = 72 + 80. Suppose 49 = 3*c - 110. Calculate the remainder when c is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*z + 8*z - 4*a, 0 = 2*z - 5*a - 109. Calculate the greatest common divisor of 126 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 924 + -1012. Is -91 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**11)\/q)**(2\/19)*((q*q**(-11\/3))\/q*q)\/(q*q*q*q**(1\/2)\/q*q))**48 assuming q is positive.\nAnswer: q**(-4568\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**3\/3 + 2. Let o(j) = 3793 + 7*j**2 - 1898 - 1895. Determine o(f(y)).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 - 10*c**2 + 3*c + 3. Let z(h) = h**3 + h**2 - h. Let o(j) = u(j) + 6*z(j). Let k be o(-4). Suppose 0 = -3*f + 159 - k. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 12*d - 7*d. Let u = 6 - 2. Let o(v) = -3*v**2 + u*v**2 + v**2. Determine b(o(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6671608*g**3 - 22*g**2 - 69515*g - 2 wrt g.\nAnswer: -40029648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*o + 16 = 0, -52060*u - 3*o + 6 = -52063*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h*k**2 + 2369*h*k - 5*h + 270*k**2 - 41 wrt h?\nAnswer: k**2 + 2369*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 13 - 38*u**3 - u**2 - u**3 + 60.\nAnswer: -46*u**3 - u**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1183)\/910*80\/7072\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*f + 38, -2*i + 55 = 3*f + 21. Let j = 21 - 7. Solve -i - j = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121.6 in 0.5, 2, -5\/4, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 123224200 (base 5) to base 11\nAnswer: 381161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2459790 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/65688 and 121\/474096?\nAnswer: 10904208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10970187.\nAnswer: 3, 31, 117959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/847 and -91\/836?\nAnswer: 64372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 6066604247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1162342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000111669 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i - 4*b, 0 = 5*b + 27 - 7. Suppose -4*w - 1 + 3 = 3*h, i*w = 2*h + 14. Sort 3, 5, h in descending order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 take away -27?\nAnswer: 26.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 91*f + 4. Determine x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msaammsmjmmmjammsaus. What is prob of picking 1 a and 2 m?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2810, 2816, 2824, 2834?\n\"Answer: l**2 + 3*l + 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15620369 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(-z + 12*z + 8*z).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1 - 1\/5*g**5 + 1\/2*g**4 + 0*g**2 - 1\/3*g**3 + 0*g. Solve y(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k + 58*k + 870 = 0. Let t = k + -194. Suppose 7*o = t + 424. What are the prime factors of o?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*(25\/(-10))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 378 - -3415. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 42*u - 3370. Is d(-97) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -0.4 (c) 36 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 + 47*f - 23. Let j(w) = 2*w**2 - 16*w + 8. Let h(l) = -3*i(l) - 8*j(l). Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-2*1 - -4). Suppose 2*l + d*y + 6 = 0, -5*y - 4 = 4*l + 4. What is the units digit of 2 - 1*(2 - l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 5. Let k(s) = 16*s - 75. Let t be k(5). Sort n, 2, t.\nAnswer: n, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 219550718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 124.7. Let m = z + -14. Let t = 0 + -0.1. What is the third biggest value in t, 0, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h**3 + 14*h**2 + 148 wrt h.\nAnswer: -15*h**2 + 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - 136.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f. Suppose -6*j - j - 7 = 0. Let v be c(j). Solve 6*k = k + v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**3 + m**3 - 4*m**3 + (m - m - m)*(-m**2 + 3*m**2 + 0*m**2) as q*m**2 + d + g*m + v*m**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -171. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-35*10\/(-140))\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.9011753 milliseconds?\nAnswer: 0.000031686255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 10) to base 8.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 5312616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 + 46*j - 48 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 92*t**2 + 5*t - 94*t - 22*t.\nAnswer: 92*t**2 - 111*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 3, h: 1, i: 2, z: 2, o: 3}. What is prob of picking 1 r and 2 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*s = -27, 18 - 90 = 4*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21773 (base 9) in base 15?\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*n - 3)*(2*n**4 + 0*n**4 - 4*n**4) - 57*n**5 - 274*n**2 + 274*n**2.\nAnswer: -61*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-196 - (-20 - 130)) + -58\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 4. Let y be t(-1). Solve y*q - 3*q = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 7*j - 166812, -30*f - 2*j + 33366 = -29*f. Is 51 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 12*x**4 + 55*x**3 + 41*x**2 - 17*x - 12*x + 9*x**2 - 15*x**3. Factor o(s).\nAnswer: 4*(6*s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/60 - 2*x**4\/3 - x**3\/6 + 2*x**2. Does 11 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31794 - -121847. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 - -28.54. Let z = n - 18. Let o = 10 - z. What is the fourth biggest value in 0, -0.5, o, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(104)*1*4)\/(((sqrt(56) + sqrt(168)\/sqrt(3))*2)\/sqrt(7))*-5.\nAnswer: -3 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4490 or -1?\nAnswer: 1\/4490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 53*o - 2090 = 0 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(1 + 3\/(-6)). Let g(q) = q**c - 5 - 2 + 58*q - 59*q. What is the units digit of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.5807kg in grams?\nAnswer: 169580.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i + 1. Let r be k(-1). Let j be 2 + (r + 3)*1. Let v(w) = w**2 - 6*w + 6. What is the units digit of v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2*x - 5 + 5) - x + x - 2*x - 4*x + x + 2*x + 901*x - 891*x + 1006*x + (1 + 0 + 1)*(x + x - 4*x) - 3*x + 3*x - 2*x.\nAnswer: 1005*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.046 or -244?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 32*q + 11. Let u(j) = -j**3 + 5*j**2 - 11. Let z be u(5). Let c(s) = 11*s + 4. Give z*c(a) + 4*d(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.239 + 0.239. Which is the smallest value? (a) -1 (b) 0.1 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31538 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -219463, 72 in descending order.\nAnswer: 72, 1, -11, -219463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, q: 4, i: 4, n: 1, c: 4, b: 4}. What is prob of sequence qqci?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*a + 0*a = -2, 0 = -3*c + 2*a + 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*a = 75, 0 = 5*h + 11*a - 8*a - 515. Solve -h*p + 103*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5714.\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*y + 4*m, -2*m = -m - 1. What are the prime factors of -2*231*(-14)\/y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*h + 5*o = 274*h - 40, 20 = h - 5*o. Solve h*p - 24 = -24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 4, v: 2, a: 6, n: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4805, 0, -4, 4.\nAnswer: -4, 0, 4, 4805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/3 + 13*-1. Let d = j + 8. Let a = d + 8. Solve -a*x - 2 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(1\/3)*n)\/n)\/(n\/n**(2\/7)))\/(n**(-2\/5)\/((n*n**(-2\/5))\/n)) assuming n is positive.\nAnswer: n**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -785*t**3 + 35*t**2 + 12*t + 27. Is r(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*c**(2\/5)*c)**(1\/6) assuming c is positive.\nAnswer: c**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2, -4987.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -137, 1 in descending order.\nAnswer: 2, 1, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/(-4))\/((-490)\/(-700)). Suppose 0 = -2*r - r + 9. Solve -u = -8*b + r*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 10*n**2 + 3*n + 3. Let d be m(4). Let q = 8 + d. Let b(h) = 45*h**2 + 0*h**3 - 9*h - h + h**3 - 37*h**2. Calculate b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(5*z - 2*z**2 - 5*z) + 433 - 433 - 4*z**2 - 10*z + 10*z - 5*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175390*40.\nAnswer: -7015600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39152, -0.3, 4\/5 in decreasing order.\nAnswer: 39152, 4\/5, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 13. Let k = 9 - n. Calculate the remainder when 49 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.441 - 143264432.\nAnswer: -143264429.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 24*k + 77. Suppose 3*a + k*a = 1008. What is the remainder when 152 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 44 = -30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 248, -3 in decreasing order.\nAnswer: 248, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1195, -1198, -1201, -1204, -1207?\n\"Answer: -3*g - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let z be (-3)\/(-18) - (-6027)\/(-35946). Let j = z + 4148\/153769. Is h at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-72))\/((2\/8)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 + 6*t**3 + (t**2 + 2*t**3 - t**2)*(4 - 3 + 3).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4. Let g be h(0). Solve 4*r = g*k - 3*k + 23, -r - 4*k = 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1960033 divided by -1\nAnswer: -1960033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 7 (b) -8 (c) 1\/217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055592399 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**3 + 23*b**2 - 7*b + 4. What is the smallest common multiple of s(4) and 1006?\nAnswer: 12072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (-68 + 84)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a century?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11*g. Let i(y) = 35*y - 1. Determine -13*d(p) - 4*i(p).\nAnswer: 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24600 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1044059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2993*j**4 + 1740 wrt j?\nAnswer: -11972*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 1.3. Let o = 4.3 + 0.7. Let m = 0.03487 - -0.06513. Which is the nearest to h? (a) -1 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 245 + 392 + 2*b + 262 - 2*b to s + d*b and give s.\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -5129?\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 3. Let r(i) = 36*i + 40*i - 169*i + 47*i + 49*i. Calculate j(r(n)).\nAnswer: 27*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 115. Let y = -734 + 715. Calculate the remainder when 121 is divided by n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.1 (c) 1\/6 (d) -68 (e) 0.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 6*r)*(-2 + 6 + 3) - 3 + 362*r + 3 - 558*r.\nAnswer: -175*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13654735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 418?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3a50 (base 14) to base 9\nAnswer: -15062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let p(t) = -t. Suppose -4*b + 8 = -16. Suppose 0 = 2*d + b + 2. Give d*p(o) - m(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(47*p - 102*p + 105*p) + 0*p - 4*p + 2*p.\nAnswer: -52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/218540 and 59\/3846304?\nAnswer: 19231520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66c4 (base 14) to base 15.\nAnswer: -5427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + 54*k - 369. What is o(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29163822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7392, -7391, -7390, -7389, -7388?\n\"Answer: p - 7393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 15*j**2 + 31*j - 18. What is b(-17)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-4) + 20*(-14)\/224. Let g = 502 - 522.1. Let x = -20 - g. Which is the third biggest value? (a) -1\/2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - i)*(-5 + 3 + 1)*(6*i**2 - 4*i**2 + 4*i**2)*(-2*i + 0*i + i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -9 + -17 + 4 + 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*x - 117*x - 118*x - 32 - 47 to the form b + j*x and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + ((-4)\/7 - (14 - 10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688 is divided by 3639.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 8 - 63. Let a be 5 - (w\/44 - 22\/(-8)). Suppose 2*f - 1 = 9, 0 = -a*o - 2*f + 50. Calculate the smallest common multiple of 28 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t = -218 - 62 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) - (sqrt(550) - -5*sqrt(550)*-1))\/(sqrt(20)\/(sqrt(4)\/sqrt(2))))\/(-3*(sqrt(605) - (sqrt(605) + -2*sqrt(605)*3) - sqrt(605))).\nAnswer: -sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*h + 11, 4*g = -2*h + 3*h - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6678204?\nAnswer: 2, 3, 13, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3)\/((-42)\/16). Let a = 0.58 - 4.56. Let k = -0.02 + a. What is the biggest value in n, 0.1, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/80)\/(-6*(-3)\/(-60)*2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52488.2 days in seconds?\nAnswer: 4534980480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -43, 4586?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 587999.5 * -4\nAnswer: -2351998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 48. Let t = 29 - l. Sort -3, t, -2, 2 in ascending order.\nAnswer: -3, -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 46. Suppose 36*i = -83*i + 1547. What is the greatest common factor of i and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1331528 - -1?\nAnswer: -1331527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 4 + 5 - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030774 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 55 - 83 = 2*y + 2*i, -5*i = -5*y + 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 4*n - 24 = 0, 16 = 2*v - 3*n. What is the second derivative of 3*x**2 - 3*x**v + 8*x**3 - 128*x**4 + 127*x**4 - 72*x wrt x?\nAnswer: -12*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 27. Let o = -19 + 20.1. Sort -1\/2, o, u.\nAnswer: -1\/2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*a + 124, 2*m = -3*m - 2*a + 584. Calculate the greatest common factor of m and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**2 + 6*d**2 + 10*d**2)*(-42*d - 9*d - 57*d) + d**3 - 4*d**3 + 2*d**3 + (d**2 - 2*d**2 - d**2)*(0*d + 0*d + d).\nAnswer: -651*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1229, 1044, 859, 674?\n\"Answer: -185*t + 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12212 (base 3) to base 6\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2256*h**2 - 2 + 13.\nAnswer: -2256*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -499.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 2. Let v = 44 + -41. Let y(h) = h + 1. What is v*y(o) - 2*q(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 507 in -2, 2\/5, 1\/8, -1, -28, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -5*n**4\/6 + 2*n**3\/3 - 24*n**2. What is the first derivative of d(z) wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (-22)\/(-12))*-6. Solve -4*l = -21 + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -32. Suppose o*t = -q - 1, -5*q - 4*t + 4 + 7 = 0. Is (q - 1)\/((-4)\/(-6134)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 + -264. Which is the closest to -1\/3? (a) -3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84251912 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113443, -907492, -3062779, -7259926, -14179555, -24502288, -38908747?\n\"Answer: -113437*h**3 + 3*h**2 + h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 8, -267 in ascending order.\nAnswer: -267, -7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h + 1590 = 0. What is the smallest common multiple of (-24)\/(-30) - h\/(-15) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 15 = -3*t - 35, 5*t - 2*o + 118 = 0. What is the nearest to -0.2 in -1\/2, -4, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43545.\nAnswer: 3, 5, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201530 and 51822?\nAnswer: 1813770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 52, 85, 120, 157?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14225 + 14226.1836. Let l = 1.09 - -0.11. Let z = l - a. Round z to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.82 + -2.22. What is the fourth biggest value in -4, a, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 40 + 233. Let o(c) = -c**3 + 12*c**2 + 14*c - 4. What is o(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/120 - 7*h**5\/30 + 2*h**4 - 1307*h**3 + 2*h**2 + 1189*h. What is the derivative of d(c) wrt c?\nAnswer: -3*c**2 - 28*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/148148 and 49\/35464.\nAnswer: 9185176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z + 0 + 0)*(-2 - 4 + 4) - 2*z + 0*z + 0*z)*(0*z - 3*z + z)*(-4*z**2 + z**2 + 2*z + 10*z**2).\nAnswer: -28*z**4 - 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2. Let p be h(0). Let w = 4.603 - 0.593. Let v = w + -0.01. Which is the second smallest value? (a) -4 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -136*g + 1. Let w be y(-1). Let f = 98 + -47. Suppose s - f = -3*a, 3*s + 4*a = -a + w. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/126*3\/52.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 - 2*j**3 + 17*j**3 + 10*j**3.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1734945, 3469896, 5204847, 6939798?\n\"Answer: 1734951*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271883399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80064 by -5.\nAnswer: 80064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144\/2395093 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*5\/(30*9\/54).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 - d**4\/3 - 7*d**3\/6 - 18*d**2 - 9. What is t(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/5*19\/304 and -89\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 37 - 16 = 5*t, -5*t = 5*c - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 - 3 + 0*w**2 + w**2 - 4*w**4 + w**3 + 2*w**2 to the form j + m*w**3 + a*w + p*w**4 + f*w**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13493, -13492, -13491, -13490, -13489?\nAnswer: -13488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, c: 5, n: 5}. What is prob of picking 4 c?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from {i: 1, m: 1, x: 1, p: 2, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let y(t) = 7*t**2 - 6*t + 6. Let h(a) = 3*x(a) + y(a). Let p be h(2). Suppose 5*u = -p + 169. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 654.9042l?\nAnswer: 654904.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 568615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + n**2 + 11*n - 68. Determine f(4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 76, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5*u + 4. Let j be w(-6). Let a be (-4)\/10 - j\/5. Suppose -k + 17 = 4*i, 5*k - 66 = -61. Solve 5*m + 0*m - 2*p - 3 = 0, a = -i*p - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.26243 minutes to microseconds.\nAnswer: 2715745800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 92*p**2 - 17*p - 55. Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10122.16 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 856 + 11*i - 847 - i**3 - 2*i - 6*i**2. Suppose 0 = 3*o - d + 26, 4*o + 1 + 12 = -3*d. What is g(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4699663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -258, -673, -1086, -1497, -1906, -2313?\n\"Answer: f**2 - 418*f + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9 - u - 4*u - 2*u - u**3 + 7*u**2. Let d be r(6). Differentiate -d + 2 + 3 + j**3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*(-9)\/(-3) + 161. Let w = -1414\/9 + t. Which is the nearest to 0? (a) 3 (b) 2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/40 - (-8)\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1101*0.4.\nAnswer: 440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107940745 rounded to three decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 2}. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268345798?\nAnswer: 2, 7, 397, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kiiiiuiioiyuuiu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 + 10 = 0. Suppose 9 = l + b*l. Find the common denominator of 2\/l*(-30)\/(-36) and 33\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*g = 1557*g - 122084 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318.95874 + -9651.7.\nAnswer: -9332.74126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2. Let g(s) = 11*s. Give j(g(r)).\nAnswer: 1210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15286 minus 0.3?\nAnswer: 15285.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**13)**(-2\/11)\/(p*p**(-31)*p)**(-29))**32 assuming p is positive.\nAnswer: p**(-296864\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/(12\/9))\/(38\/(-380)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 678*k**3 - k + 1. Let y be p(1). Suppose 3*l - 514 = t, -l + 5*t = 3*l - y. Let x = l + 37. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**2 - 5*u + 5. Let y(c) = c**2 + c - 1. Let z(l) = 4*n(l) + 20*y(l). Let x(j) = -j. Calculate x(z(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 9*r + 9. Let m be s(9). Find the common denominator of 5\/8 and m\/15*(-580)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28599 + 7*o**3 - 28599.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 3. Let j(m) be the first derivative of -7 + m**a - m + 2*m**2 - m**2. Differentiate j(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1962380*c*d**2 + 349116617*c + 3*d**2 + d wrt d.\nAnswer: -3924760*c*d + 6*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-8))\/((-4301)\/(-1564))*1716\/(-65)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2 - 2. Suppose c*u - 20 = 24. Let h(j) = -10 - 1 - 6*j - 16*j**2 - 5*j + 6*j**3. Let m(o) = -o**3 + 3*o**2 + 2*o + 2. Calculate u*m(x) + 2*h(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 15429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 plus -18.6068?\nAnswer: -426.6068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epv. What is prob of sequence pv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -46198530.75 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -222. Let u = l - 137. Is u a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 3, z: 1, o: 6}. Give prob of picking 1 o and 1 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 131, -26, -2, 2 in descending order.\nAnswer: 131, 5, 2, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1007 (base 16) to base 12\nAnswer: 245b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -26*c**5 + 26680*c**4 + 345916*c**3 + 1154240*c**2 - 980050*c - 7273000 = 0.\nAnswer: -5, 28\/13, 1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 3, s: 5, v: 2, q: 6}. What is prob of sequence lvq?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4900 + 5808 = 0. Let j be (-6)\/((-60)\/f) - (-6)\/(-4). Let i = j + 15857\/60. What is the common denominator of -77\/4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/35 + s**5\/30 + 2*s**2 + 6*s. Let j(u) be the first derivative of v(u). Find the third derivative of j(f) wrt f.\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n**2 + 0*n**2 - 11*n**2 + 61*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279738275 to the nearest integer?\nAnswer: 16725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = -2*s. Suppose -9 = -4*g + g. Calculate the greatest common factor of g and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 15851?\nAnswer: 15851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/12082027 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39778 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: What is the first derivative of -4479*j**3*y**3 + 3*j**3*y - 252377*j**3 wrt y?\nAnswer: -13437*j**3*y**2 + 3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -617.7 + -0.07.\nAnswer: -617.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 380 = 4*x. Suppose 0 = 6*b - 10*b + x. What is the highest common factor of b and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g. Let x(q) = 8713*q**2 - 3*q. Calculate k(x(r)).\nAnswer: 104556*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) 2\/3 (c) 0.37 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(7)*-1*-6 - 1*(sqrt(343) - (1 + sqrt(343) + -1)))**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -320\/3*s**3 - 1\/150*s**5 + 0*s - 3*s**2 + 14 - 4\/3*s**4. Find k, given that h(k) = 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40350 and 40950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -23, 9, -14, 0.1, -3.9 in descending order.\nAnswer: 9, 6, 0.1, -3.9, -5, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r. Let n = 2 - -2. Suppose n*a - 3 = 3*y, 2*y + 2 = a + 3*a. Let p(i) = i**2 + a*i + 0*i**2 + 1 - 6*i - 3*i**2. Determine p(g) - 4*u(g).\nAnswer: 2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27711, 110740, 249109, 442824, 691891?\n\"Answer: z**3 + 27664*z**2 + 30*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*f - 143034 = 92954, 5*r - f + 294997 = 0. What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 28. Find the second derivative of 11*s**2 - 3*s**w + 41*s - 21*s**3 - 8*s**2 wrt s.\nAnswer: -126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20677 divided by -1\nAnswer: -20677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377) + sqrt(833) + 0 + sqrt(833) + sqrt(833))**2 - -1*(1 + sqrt(833))**2.\nAnswer: 14*sqrt(17) + 16134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Suppose 2 + y = c. Solve c = -r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1062.00000051 - -1062. What is s rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 8 (b) 0.2 (c) -29.7 (d) 0.5 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*j - 243*f**3 + 53*f*j**2 - 2*j wrt j.\nAnswer: f**3 + 106*f*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, w: 3, a: 2, p: 1, t: 6}. What is prob of picking 1 p and 3 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4)**(-1\/7))**(26\/5))**(-38) assuming w is positive.\nAnswer: w**(3952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1459*i + 70. Let d(u) = -729*u + 40. What is -7*d(z) + 4*r(z)?\nAnswer: -733*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 2*j - 4. Calculate f(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -2, 302, -11, 40 in increasing order.\nAnswer: -11, -4, -2, 1, 4, 40, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7105.619 micrograms?\nAnswer: 0.000007105619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2850 + 2849.96. Put p, 8, 0, 1\/3 in descending order.\nAnswer: 8, 1\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305599 by -149.\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -87, -86, -41, 66?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 7*z**2 + 4*z + 8. Let r(s) be the first derivative of 3\/4*s**4 + 16*s + 4*s**2 + 49 + 5*s**3. Let g(b) = 5*i(b) - 2*r(b). Calculate g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1049 - -1923. Suppose -3*a - 405 = g, b = -5*g + 3*a + 965. Let y = g + 605. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130.959 and 0.03.\nAnswer: 3.92877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 96. Let d = m + 42. Which is bigger: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857 minus -2.91413?\nAnswer: 4859.91413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 2056?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 54.99912. What is p rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*x + 4 + 6, 0 = 4*p + 3*x - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 3*j + 2. Let w be 12\/54 - (-34)\/9. Give a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 4}. What is prob of sequence vqq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 >= -357497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzlz when four letters picked without replacement from {l: 9, z: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429862721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 1510 - 87 + 30 + 2153.\nAnswer: 14*f + 3606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let a be ((-18)\/12)\/(j\/(-4)). What is l in -l**3 - l**3 - 6 - 2*l**3 + 3*l + l**3 + 6*l**a = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18067*n - 214. Is l(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/21 + 4\/7. Let i = -30 + 31. Put i, s, -2\/19 in decreasing order.\nAnswer: i, s, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2. Let v = 3 + -7. Let i be 3\/(-5)*(-5)\/v. Which is the closest to -1? (a) q (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(847) + sqrt(847) + -2 + 2) + -1*sqrt(847)*2*-3)*-3.\nAnswer: -594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 20*a**2 - 6*a**2 - 6*a**2 - 9*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y = 59*y - 24. Solve g - 4 = y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in 0, -7, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*s = -500*s - 208*s - 74*s - 9260 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.4 + -310.6. Let u = w + 321.48. Let v = 0.48 - u. Which is the closest to 0.2? (a) 0 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*b = -28222 + 35507 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5887900, 5887910, 5887922, 5887936?\n\"Answer: t**2 + 7*t + 5887892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19313 - 4*x - 19313.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 49073*m**3 - 5*m**2 + 6*m - 16. Let v be b(-6). What is v rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9064\/5 + -1813. Which is the third biggest value? (a) j (b) -0.6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-135)\/2))\/(4\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((2 - 3) + 0). Let x be (-3)\/d - 7\/(-4). Suppose x*f = 40 + 6. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 11. Let g(q) = 12*q + 8. Let y(j) = -10*j - 11. Let t(i) = 4*g(i) + 5*y(i). Calculate 7*o(n) - 3*t(n).\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -338 (base 9) to base 16\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 225905783.\nAnswer: 3\/225905783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420, 0, -6, 5, 1 in increasing order.\nAnswer: -6, 0, 1, 5, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 8. Let h(w) = 4*w - 7. Suppose 0 = -111*c + 459 + 96. Calculate c*j(k) + 6*h(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89*2432.\nAnswer: -216448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/4*(-1416)\/(-5310)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2366571.99894 + 2366658. Let m = -106 + 192. Let z = a - m. What is z rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 3, u: 6, j: 1, p: 1, b: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + -4. Let m(g) = g - 41. Let t be m(9). Let z = -34 - t. What is the nearest to 2 in x, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 22*i + 12. Let j(h) = 9*h + 5. Let t = 103 + -32. Suppose -5*n + t + 69 = 0. Let g = -16 + n. Give g*j(v) - 5*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -14, -166, -3808, -4.\nAnswer: -3808, -166, -14, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 + 7 = 0. Let j(r) = r**3 - 10*r**2 + 25*r - 23. Let g be j(7). Solve -3*a + 2*a = 5*m - g, 0 = -p*a - m - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let n(v) = -11*v - 3. What is 4*f(p) + n(p)?\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10340 + -10331. Suppose -4*z = 3*r - 240, -2*z + z + 60 = -5*r. What is the remainder when z is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4)\/k)*k\/(k**(2\/3)*k)*k)\/(k**(-2\/7)*k)**20*(((k\/(((k\/(k*k**1\/k*k))\/k)\/k)*k)\/k*k)\/k*k)**(4\/13)*(k**(-1\/3))**(-5) assuming k is positive.\nAnswer: k**(-432\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37842839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from wuwiwduduwuywwu?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 13. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 1982 - 371 + 105 + 9*j.\nAnswer: j**3 + 9*j - 2248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 841.91 - 836. What is r rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 1825*a + 74370.\nAnswer: -5*(a - 37)*(a + 402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*x = 48*x - 89 - 289 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1939 divided by 277\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 857002511 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/3*p**3 + 0*p**2 + 2*p + 1\/6*p**4 + 0. Solve m(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11) - sqrt(33)\/(sqrt(3) + -2*sqrt(3))))\/(-3*sqrt(33)\/(2*sqrt(11))).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6578879 is divided by 2192951?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101617\/3 at least 33873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 330 = 13*m. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uphd when four letters picked without replacement from {f: 4, p: 3, u: 1, c: 2, h: 2, d: 6}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3360 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 9883\/9102?\nAnswer: 9883\/9102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6770, -13544, -20318, -27092?\n\"Answer: -6774*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96106\/16821 - -2\/2403. What is the common denominator of f and (-44)\/6 + -1 + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2138.63 + 2138.53. Suppose -a - 17 = -4*g, 2*g - 1 = -2*a + 5. Suppose 2*j = g*j - 74. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 103.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 1*(1025\/5 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (4 + 10) - (-360 - -350)) + -104.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6115*s**2 - 263139.\nAnswer: -12230*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37657, 37656, 37655, 37654, 37653?\n\"Answer: -x + 37658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 0.1696134349.\nAnswer: -2.8303865651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 28 = -x, -4*x - 51*m + 168 = -55*m. Let c(i) = -2*i**3 - 4*i**2 + i - 5. Let f be c(-5). Calculate the highest common divisor of x and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c33f11 - 10?\nAnswer: c33f01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.4? (a) 3 (b) -0.02 (c) -30 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 776, 761, 738, 707, 668, 621, 566?\n\"Answer: -4*k**2 - 3*k + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-216)*6*4\/30?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64b5 - -2?\nAnswer: 64b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-14)\/(-4)) + 96\/56. Suppose -4*y - 14 = -2*m, -2*m - x*y + 49 = 17. Determine b, given that -6*b**2 + 18*b**4 - m*b**4 - 3*b**2 + 4*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -561.4 * 149.\nAnswer: -83648.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2965 - 2?\nAnswer: -2.2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b - 1. Let g be s(1). Let r = g + 13. Solve -r*i = -4*i - 2*m + 12, -3*i = -2*m - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2732738803814\/974705352555 - -2\/356382213. Let q = -2\/547 + v. Let q*n**2 + 0 - 4\/5*n = 0. Calculate n.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/8 + 1256*l**2 + 7893541*l\/8 + 808458405\/4.\nAnswer: (l + 419)**2*(l + 9210)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7905681 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Does 1519 divide 2036729884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 1478?\nAnswer: -1477.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770 a factor of 2071710492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21120*n - 742. What are the prime factors of f(-1)?\nAnswer: 2, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -74*u**5\/5 + 833*u**4\/12 + 4*u**2 + 311. Find the second derivative of r(f) wrt f.\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, h: 1, t: 10}. What is prob of sequence hq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45991?\nAnswer: 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/56 + 97\/840. Which is the second biggest value? (a) -4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 - 120841675*c - 241683330 = 0?\nAnswer: -24168333, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 30.100487736?\nAnswer: -30.040487736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 383*v**8\/336 + 79*v**5\/10 - 289*v**2. Find the third derivative of r(w) wrt w.\nAnswer: 22980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30484573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 45 - 27*j - 63 - 39.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:38 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102225207.\nAnswer: 3, 7, 83, 223, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:13 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*o**2 - 58*o**2 + 162*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12000\/(-2)*(-3)\/(9\/1820). Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1323 and 104958?\nAnswer: 314874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*o - 93*o + 2*t + 2514805, 2*o - 1005922 = -t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -76 - 166 - -138.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 2962449*r**3 - 731340525240*r**2 + 731343487692*r.\nAnswer: -3*r*(r - 1)*(r + 493742)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:22 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 533*x**2 - 14532*x + 1122. Give f(-559).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 7. Let x be k(7). Suppose 190 = 5*i - h, x*i - h = -4*i + 152. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 33, 72, 131, 216, 333, 488?\n\"Answer: u**3 + u**2 + 15*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 12. Let s be 22\/(-3) + (-10)\/(-30). Let x be z(s). Suppose -x*p + 62 = -24. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1601 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + k**4 + 0*k**2 + 0*k + 11*k**2 + 2*k**3 + 3*k to h*k + s*k**2 + n*k**4 + g*k**3 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 30. Suppose -2*h = 4*t + 4, 2 = 31*t - 32*t - h. What is the nearest to -25 in t, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((69 - 103) + 57)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 815*q - 823*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 40, 51, 62, 73, 84?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(2 - 3) - -5. Suppose 2*a = 3*a - o. Let i = 1 + a. What is the greatest common divisor of i and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-12)\/4)*((-840)\/10)\/12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 125*a - 252. Let h be n(6). Suppose 4*k - 2*r + 5*r - h = 0, -4*r + 500 = 4*k. Calculate the remainder when k is divided by 53.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36118, -36119, -36086, -36001, -35846, -35603?\nAnswer: -35254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00379807311 to five decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6*(-40)\/15. Put 1, v, -3 in increasing order.\nAnswer: v, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose -3*z - z + 124 = m. Let n = -21 + z. Calculate the lowest common multiple of n and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2\/8 + 225*w\/4 + 41925\/8 = 0?\nAnswer: -65, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111232 (base 5) to base 6.\nAnswer: -30130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r**6 + 0*r + 0*r**3 + 0 + 9\/70*r**7 + 0*r**5 - 13\/12*r**4 + 18*r**2. Find the second derivative of b(d) wrt d.\nAnswer: 324*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*y - 7652 = 0, 1872 - 3785 = p + 4*y. Which is smaller: p or -1916?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109501878*x**5 + 9389590*x**2 - 3*x wrt x.\nAnswer: -6570112680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -2*k. Let c(z) = z**2 - 3*z - 1. Let r be c(k). Which is bigger: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*p**4 + 122*p**2 + p - 18014.\nAnswer: -252*p**2 + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -7*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b - 10 = 0. Suppose 2*d + 20 = 2*o, o - 3 - 23 = b*d. Suppose 0 = q - o*q + 80. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1324*0.0529\nAnswer: 70.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 33, 64, 105, 156, 217?\n\"Answer: 5*y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/368 and -48\/4526285?\nAnswer: 72420560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003947599 to five dps.\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17134.293 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*k**2*z + 38594*f + 3421465*k**2*z - 5*k*z + 6*z wrt k?\nAnswer: 2*f*z + 6842930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61940263.\nAnswer: 7, 11, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5465 - -2205. Suppose 35*y = 25*y + t. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4200, -8259, -12318?\nAnswer: -16377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -9457160160.\nAnswer: -9457160155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u - 2. Let v = 8 + -12. Let n = 1 - v. Solve -15 = -u*k + m, 2*k = n*m + 4 - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 4. Let j be v(3). Let q be 3\/2*(-66)\/9. Let s = q + 15. Solve l - j - 1 = -n, 5*l - s*n = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + 1)*4)*-4 + (sqrt(68) + -1 + -1)**2 + -5.\nAnswer: 83 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 39 = -9*s. Suppose y - 3 = 2*j, 0 = s*j - 3*y + 3 + 3. Put 2\/3, -3, 0, j in decreasing order.\nAnswer: 2\/3, 0, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*7\/(-21))\/(-17)*-2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039813196 rounded to 4 dps?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 714 - 133*y + 74*y**2 - 2*y**2 + 70*y + 73*y wrt y?\nAnswer: 144*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 507\/3510 - ((-3)\/(-165) + (-26)\/(-143)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 89*m. Let v be x(3). Let o = v + -123. What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 equal to -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 6. Suppose 0 = 9*w - 6*w. Suppose w = -3*v - 12. Determine h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-10 + 4)\/(-6). Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 129*r - 13*r**2 + 143*r - 6 - 286*r. Find the first derivative of z(p) wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 8250*g - 5671875.\nAnswer: -3*(g - 1375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147165 is divided by 73556?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*x - 20 - 7*x**3 - 117*x**2 + 18*x**3 + 3*x - 6*x**3 + 107*x**2.\nAnswer: 5*(x - 4)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27814, -27835, -27872, -27925, -27994?\n\"Answer: -8*t**2 + 3*t - 27809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y + (0 + 0 + 1)*(-687 - 31*y + 687))*(2 - 3 + 2).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 - (59 - 101)) + 156?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*g = -6*g - 32, 3*g - 18 = -3*o. Suppose 2*u + 108 + 343 = 3*h, 0 = -2*u + o. Calculate the highest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.8. Suppose 2*z - 5 + 20 = 5*t, 0 = -5*z + 3*t + 10. Which is the third smallest value? (a) p (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 2) + (0 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*3\/((-9)\/(-33)). Let p = -55 + y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53011, -52948, -52789, -52486, -51991?\nAnswer: -51256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + 675 - 8*q - 675 in the form m*q**3 + n*q**2 + s + a*q and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 4 = -2*s - h, 1 = 5*s + 3*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.282 * -6.5.\nAnswer: -1.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o - 1. Suppose -6*q = -32 + 38. Let j(l) = -6*l**3 - l - 4. Give q*j(a) + 4*n(a).\nAnswer: 2*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395520 is divided by 98875.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170269.4 minus 125.8?\nAnswer: -170395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 59*h**3 + 12*h**2 - 6*h + 9. Let o be c(3). Suppose -4*m + 5184 = o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - sqrt(176)) + -2 + sqrt(55)\/sqrt(5).\nAnswer: -2*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -53055, -1 in increasing order.\nAnswer: -53055, -1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2053 and 2054 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(112))*-2.\nAnswer: -8*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -903\nAnswer: -4515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 15*v + 17*v - 12.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(567))**2.\nAnswer: 108*sqrt(7) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 + -1938 + (2 + -4 - 8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - w**2 - 2*w - 1. Let v(y) = -4375*y**3 + 3*y**2 + 12*y - 293. Let j(q) = 5*s(q) + v(q). What is the third derivative of j(o) wrt o?\nAnswer: -26130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, -225, 0, -0.3, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 14. Let n = 1569\/5 + -314. Which is the second biggest value? (a) f (b) 4\/3 (c) n (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92873610928253 minus -2?\nAnswer: -92873610928251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*-1*(sqrt(52) + 2 - -1*sqrt(208) - (0 + sqrt(117) + 2*sqrt(1053)))**2.\nAnswer: -480*sqrt(13) + 23432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.29271*0.16\nAnswer: 0.0468336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 29*l**3 - 419*l**3 - 56*l**3 - 38*l**3 - 6.\nAnswer: -542*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-5)\/m))**(-13))**(5\/3))**(-5\/2) assuming m is positive.\nAnswer: m**(2275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*m - 22 = -2*k, -3*k = m - 20. Let y = 9369\/3016 + 7\/377. Find the common denominator of (k\/(-4))\/(6\/41) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 32*c - 33. Let r = 91 + -84. Is a(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238929916 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: Solve 538 = 2850*k - 2848*k - 9*h - 51*h, 0 = -h - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17 = 2, w + 3*z = 43. Let m = w + -15. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllyyklyly. What is prob of picking 1 k, 2 l, and 1 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11088 and 32076198.\nAnswer: 256609584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 + 1806*r**2\/5 - 162357*r - 655220 = 0.\nAnswer: -4, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40100000 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*t + 34, 2*t = -i + 9 + 11. Solve -3*j + 4*h + t = 0, -j + 6*j = h + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*d + d. Suppose -d = -5*j + 7. Let z = j - 4. Let s(y) = 7*y. What is s(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - q**3 - 4*q**3)*(0*q + 0*q + 2*q) + 326*q**2 - 307*q**2 - 8*q**4 + 22*q**4.\nAnswer: 12*q**4 + 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17182 and 18744.\nAnswer: 206184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6*(0 - -22))\/(30*18\/3240) is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.31 - -42.37. Let m = d - 51.825. Let c = m + -20. Round c to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233130 (base 5) in base 2?\nAnswer: 10000101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12964 = -3*c, 0 = 3*c + 8*u - 3*u - 12961. Let o(h) = -h**2 + c - 3*h - 4330 + 3*h. Calculate o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*(-5 + 3 - -1). Suppose 0 = 5*k - 7 - 3. Which is the closest to d? (a) -0.3 (b) -1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**2 - 84*n - 8. Let o(w) = 5*w**2 + 85*w + 6. Give 4*o(q) + 3*u(q).\nAnswer: -7*q**2 + 88*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-5) - 9\/(-1). Solve -d*j - 10 = r - 0*r, 4*j + 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*d = -115*d - 11252 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*j + 16. Let n(p) = p**2 + 2*p - 4. Is n(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 - 634*z**4 + 732*z + 3.\nAnswer: 20*z**3 - 7608*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.631 - 1.6308214. What is a rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 17*o - 56, -45379957*u - 37 = -4*o - 45379962*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28960 - -41805. Suppose 3*r - 2795 + d = -2*k, -k - 6700 = 2*r. Is ((-1)\/2)\/(5\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770123013?\nAnswer: 167, 10599539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaiz when four letters picked without replacement from izbboobazzz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 11*d**2 - d + 10. Let l be a(-11). Solve -5*g = -1 + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431144 is divided by 789.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 7*n + 3. Let a be k(7). Suppose 3*u = -q - 15, 2*q + 3*q = a*u + 15. Solve q = -0*g - g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426 - 169*l**2 - 713 - 713.\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p + 351. Let o be l(-49). Suppose o*m - 1739 - 9437 = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 1. Let s(b) = 1. Let m(t) = -g(t) - s(t). Let d(r) = r. Calculate d(m(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088648207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 - 6*c**2 + 4*c + 14. Let w(a) = 3*a**3 - 8*a**2 + 4*a + 13. Let h(k) = 4*s(k) - 5*w(k). Is 46 a factor of h(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -855 or -4273\/5?\nAnswer: -4273\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 105.6. Let p = -0.03 - 13.97. Let j = w - p. Sort -3, 1\/5, j in increasing order.\nAnswer: -3, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4\/11)*c)\/(c**(1\/9)*c*c))**(-10\/3))**(-44) assuming c is positive.\nAnswer: c**(-1880\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 - 78) + -15 - 42*1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -301976 rounded to the nearest one thousand?\nAnswer: -302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2968 and -31\/966826?\nAnswer: 3867304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 88232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 27. Suppose 4*x + 3*t - 67 = 0, 3*t - t = z. Suppose 0 = x*s - 3*s - 5083. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {b: 6, a: 5, j: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -72. Let m = t + -53. Is -2 - -2 - 1 - m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141.9 - -0.8.\nAnswer: -1141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/l**(-3))\/(l\/(l\/(l**(1\/3)*l))*l\/(l**4*l)) assuming l is positive.\nAnswer: l**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2. Suppose p - 13 + 4 = 0. Let k(y) be the first derivative of -8 - 2*y**2 + 9*y - p*y - 12. Give g(k(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - 1*(-5 + sqrt(1300)))**2 + -3 + 1 + ((-6*(0 + sqrt(1300) + sqrt(1300)) + sqrt(1300) - sqrt(1300)) + sqrt(1300) + 1 + -4)**2.\nAnswer: 660*sqrt(13) + 157332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173443\/93 - 1865. Let o = j - -11\/31. Which is the nearest to -1? (a) -0.1 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10\/3))**(-35)*(w*w**(-5))**(-3\/23) assuming w is positive.\nAnswer: w**(8086\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 8*f - 64*f - 2*f**4 + 13*f in the form w + o*f + d*f**2 + x*f**3 + j*f**4 and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 12)\/(-2 - 1). Let u(z) be the third derivative of -1\/6*z**4 + 0*z + w*z**3 + 0 - z**2 - 1\/30*z**5. Factor u(q).\nAnswer: -2*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d - 176 - 954 = 61*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 390988\nAnswer: 1\/97747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2180\nAnswer: 3\/2180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 24*k**2 + 2 + 25*k**2)*(452*k + 588*k - 781*k) as s*k**3 + v + y*k + z*k**2 and give y.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5246*v + 156 = -5259*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5085 divide 241339185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -56. Suppose n = -5*s - t, -s - s - 4*n - 36 = 0. Let o = 46 - 60. Is o < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7368 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -101.001 times -4\nAnswer: 404.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8423*h - 4038*h - 1265*h + 968*h.\nAnswer: -12758*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2447, 4921, 7399, 9881, 12367?\nAnswer: 14857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.89, 0.4, 19, -3\/409, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310 divided by 1262?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19 - (2 + 1 + -4). Let u be q\/(-7)*14\/1. Suppose -36 = -14*i + 5*i. What is the greatest common divisor of i and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (3 - (3 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.857 at most as big as -94.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46 - 2*f**2 - 46 + 5*f**5 + 5*f**2 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -23. Let m = j + 15. Let c(n) be the first derivative of n - 1. Let h(v) = -2*v - 5. Determine m*c(f) + h(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7522.8 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k - 64*k = -840. Let g(h) = -h**3 + 9*h**2 - 4*h + 9. Let s(z) = z + 1. Let f(r) = g(r) - 6*s(r). What is f(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 162 - 84. Let n = m - -1374\/11. Is n at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24887058.\nAnswer: 2, 3, 7, 23, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 2*x)*(-19 + 8 - 23) + (29 + 20 - 18)*(2*x + 2*x - 6*x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 + 636435414*n**3 + 270502462*n wrt n?\nAnswer: 12*n**2 + 3818612484*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/3))**(-26))**3\/((w*w*w\/(((w**1\/w)\/w)\/w))**(-7))**(-1\/25) assuming w is positive.\nAnswer: w**(-267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 - k - 1. Let h be n(-1). Suppose 2 = 4*l - h. What is the third derivative of -3*i**2 + 0*i**4 + i**l - 5*i**4 - i**2 wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 1, n: 1}. What is prob of sequence hn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -71, -153, -309, -545, -867, -1281?\nAnswer: -1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-3\/13)*t*t)\/t)\/t*t*t)**(-24\/7)*(t\/t**(-1\/11))\/t**(-4\/15))**7 assuming t is positive.\nAnswer: t**(-122176\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r + 6240120 = -49*r. Suppose r = 17*w - 61819. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -14*b + 190. Let q be (1\/3)\/((-2)\/(-6)). Suppose -5*n - p - q = -192, -3*n = 5*p - 119. What is the greatest common factor of n and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 2*r**2 - r**2)*(27 - 27 - 6*r**2).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Let p be j(-6). Suppose -5*m - 4 = -4*t - 0, -5*t - 5*m = 40. Let i = p - t. Which is the nearest to 6? (a) 0.2 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9145, -9138, -9125, -9106, -9081?\nAnswer: -9050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x + 3. Let h be p(-4). Suppose b + 5*l = 0, 0 = -7*b + 2*b - 2*l + h. Suppose -2*q + 7 = 2*q - b*d, -5*d + 5 = 0. Solve q*u - 12 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8473646?\nAnswer: 2, 523, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -33. Let v = -90 + 137. Let j = v + -47. Solve -l*s + s - 3 = j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**7\/60 + 53*s**4\/24 + 22*s**3\/3 + 41*s**2. Let q(z) be the first derivative of a(z). Differentiate q(m) wrt m.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862859572 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2389 and 0.03.\nAnswer: 71.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0.07, 1\/8, 2\/17 in ascending order.\nAnswer: -5, 0.07, 2\/17, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -879, -757, -557, -279, 77, 511, 1023?\n\"Answer: 39*i**2 + 5*i - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248.4 + 248. Sort m, -115, 1.\nAnswer: -115, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from {i: 2, r: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*v + 6 = 0, -5*g = 26*v - 24*v - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/6)\/((-33)\/(-99)) + 170. What is the greatest common factor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 74 - 141*i - 119*i + 2*i**2 + 284*i. Is c(-24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231325 (base 6) in base 5?\nAnswer: 4111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 23 = 457. Let m be -2 - (224\/(-10) + (-8)\/d). Solve -g + 0*g = -5*b - m, 0 = -g - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33471.84039 - -0.15961. Let t = o - 33228.03. Let i = 243 - t. Round i to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204, -422, -654, -900, -1160, -1434?\n\"Answer: -7*l**2 - 197*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698*m = -690*m - 5592. Which is smaller: m or 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369350 is divided by 2325?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/9)\/(61*76\/(-13908)))\/(2*9).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4. Let i(c) = -2064*c**2 + 20. What is i(z) + 5*l(z)?\nAnswer: -2069*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Calculate the common denominator of u\/60*273\/(-2) and (63\/96)\/(3\/(-6)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t - 4. Let u be 1\/(-5) - (-31)\/t. Solve w - u = -3*k + 4*w, -k + 5*w = -22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 309. Suppose -j - v = 4*j. Which is the closest to j? (a) 37 (b) 2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 50*x**2 - 9*x - 9. Let l(w) = 76*w**2 - w - 7. Let t(a) = -93*a**2 + 8. Let k(n) = 4*l(n) + 3*t(n). What is -9*k(o) + 4*q(o)?\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98505 divided by -38.\nAnswer: 98505\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 + 1116530*y - 1116530*y. Let b(o) = -3*o + 472. Calculate i(b(q)).\nAnswer: 36*q**2 - 11328*q + 891136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -68, -169, -316?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-9)\/(-2)))\/((-30)\/((-2610)\/377))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-6918)\/24) + (-7 - 162\/(-24)). Calculate the greatest common divisor of m and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -22. Let j(m) = m + 16. Let d be j(z). Let o = d - 6. Solve -4*h = 3*i + 6, -2*h + 5*i = -9 - o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2736) - (sqrt(2736) + 2)*-3) - (-4*sqrt(2736)*1 - (sqrt(2736) - (5 + sqrt(2736)*-1 + sqrt(2736)))))**2.\nAnswer: -264*sqrt(19) + 2857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**46*(p\/(p**2*p))**30)**(-1\/9) assuming p is positive.\nAnswer: p**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -6981.\nAnswer: -6980.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 868602 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 - 13*g**4 + 7*g**3 + 237*g**2 + 216*g = 0.\nAnswer: -3, -1, 0, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 37 = -6*l, -16*j = 5*l + 239440 - 239530 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 2. Let d be c(-1). Suppose 20*x - 16*x - 464 = d. Calculate the highest common divisor of x and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1418 - 1416. Factor -1\/2*l**5 - 3*l**4 - 2*l + 0 - 13\/2*l**3 - 6*l**i.\nAnswer: -l*(l + 1)**2*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*u + (2 - 6 + 2)*(2*u - 2*u + 5*u + 5*u - u - 3*u + (-1 - 1 + 1)*(0 + 0 - u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026448758?\nAnswer: 2, 3, 57024931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**3 + 4*v**2 - 780*v - 160698 with respect to v.\nAnswer: -9*v**2 + 8*v - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1727*n*v**4 - 2281*n*v**3 + 750*n*v**2 - 2*n*v + 46*n + 3*v**4 + 6*v + 2 wrt v.\nAnswer: 41448*n*v - 13686*n + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 4 = -26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 1468537824*s + 179716945043221248 = 0. Calculate s.\nAnswer: -244756304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/209 and -67\/9737158?\nAnswer: 107108738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 1, 2, -52 in ascending order.\nAnswer: -56, -52, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -17 - (-2 + 21 - (9 - 5))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-49))\/(4\/(-14))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*u, -5*u + 41 + 32 = 4*q. Suppose q*v + 181 = 759. Suppose 64 = -2*o + 676. Calculate the highest common factor of v and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 3*r**2\/2 + 2*r - 11. Let p(b) = -15*b - 11. Determine 2*p(z) + 11*s(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-2 - a + 2) + 7*a - 3*a - 2*a + (49*a - 18*a - 13*a)*(-7 + 3 + 2))*(0 + 0 - 2*a**3) + (2 - 3 - 2)*(-1 + 1 - a**4).\nAnswer: 67*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9030645 divided by -1677\nAnswer: -5385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29125 = 24*q - 10499. Which is greater: 1653 or q?\nAnswer: 1653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/370 and (-17)\/85*(-4)\/(148\/(-49)).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 41*s + 38. Does 12 divide z(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1072*y - 4293. Determine n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 853?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:40 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -51. Solve -4*n = -u + 2 + 9, -2*u = n - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/723922 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = 3*v, -q = -2*v - 14 + 3. Suppose -5*o + x = -29, -3*x = 13 - 1. Suppose -2*c = -o*c + 42. Solve -s = s - 4*a - 22, q*a = s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (((sqrt(216)*-1 - sqrt(216))\/sqrt(12))\/(-2*sqrt(1089)))**2).\nAnswer: -1206\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.179 + 571.179. Let r = -596236242 - -596235671.000482. Let o = r + g. Round o to five decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbr when three letters picked without replacement from {b: 2, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -6*v + b + 6, -17 = -3*v + 2*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -10.\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -139, -237, -339, -445, -555, -669, -787?\n\"Answer: -2*m**2 - 92*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(882) - sqrt(18) - 5*2*sqrt(18))\/(1*sqrt(12)\/sqrt(2)*-4).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 57. Let q be (-339)\/(-6) - 12\/g. Suppose q*i = 61*i - 90. Calculate the remainder when 119 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 + 2 = 0. Suppose v + s = -4*v. Let q = v - -5. Solve q*f + 2*f + 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 26. Let s be z(-4). What is the second derivative of -13 + 16*g**4 + 9 - s + g - 3*g wrt g?\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 10 - 8*d - 1 - 9 wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 10*k**2 + 3*k**2 + (0 + 0 + 2)*(-2*k + 5*k - k)*(-3*k + 4 - 4 + (-2 + 5 - 5)*(-k - k + 0*k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/7))*f*f)\/(f\/(f\/(f\/(f\/(f*f\/(f\/f**(-8\/5)))))))*((f\/(f\/((f\/(f*f**(-2\/9)))\/f)))\/f)**(-27) assuming f is positive.\nAnswer: f**(1776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -101.7. Let j be (-1)\/(-2)*1*2. Sort -3, w, j.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*-3)**2 + -5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104948 + -104953.2317. Round k to two dps.\nAnswer: -5.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 13*k**2 + 13*k + 13. Let i be d(-12). Let l(m) = -4*m - 4*m + 3 - 7*m**2 + m**3 - 3 - i. Calculate l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1002112122?\nAnswer: 1002112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(9\/(-3)) - 1*-2. Factor -2 + j*w - 1\/2*w**2.\nAnswer: -(w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.053 + 0.047. Which is the nearest to z? (a) 0.3 (b) -1\/4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h + 6. Suppose 3*s = -4*j + h, -3*j - 5*s = -2*s - 6. Find t such that -2*t**j + 26*t - 12*t**4 - 54*t**2 + 0 + 46*t**3 - 4 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216746 and 5742?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -76. Suppose 4*o + o + k*a = -19, -5 = 3*o - 4*a. Sort 0, 4, o.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.403249 rounded to 3 decimal places?\nAnswer: -0.403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 1. Let h(f) = -f**3 + 8*f**2 - 9*f + 10. Let w be h(7). Let k(b) = 3*b + 2. Suppose 4*n - 13 = -1. Give n*k(r) + w*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52879 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -25) + 31 + -3 + -25 - -78.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6203 - 6088. Calculate the remainder when 155 is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 4606*g**2 + 18411*g - 13806.\nAnswer: (g - 4602)*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11. Let u = 1 + -1. Calculate the least common multiple of t(u) and 200\/(-60)*(-2)\/4*3.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**5*y - 3*v**4*y - 3*v**2*y + 4*v*y - 16*v wrt v?\nAnswer: -100*v**3*y - 36*v**2*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from {w: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 4*i**4 - 3*i**5 + (27*i**2 - 27*i**2 + 14*i**4)*(-2*i - 3 + 3).\nAnswer: -31*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 10*i + 7*i + 223, 3*i + 205 = -k. Let y = k + 226. Calculate the least common multiple of 28 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24422 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 56, -2, -0.1, -525, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4986 = -3*l + 3*n, -3*l + 23*n = 28*n - 5026. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -33\/2, 0.038, -0.3 in decreasing order.\nAnswer: 0.038, -0.3, -1, -33\/2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287290142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -67*k**2 + 3*k + 3. Let q(v) = -5963*v**2 + 268*v + 268. What is -268*g(f) + 3*q(f)?\nAnswer: 67*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369*i**2 - 658*i**2 - 640*i**2 + 253*i**2 + 57*i**2.\nAnswer: -2357*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5150, 10299, 15448, 20597, 25746, 30895?\nAnswer: 36044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321011031113 + -2?\nAnswer: -1321011031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 131 - 403.179695\nAnswer: -272.179695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 1.33. Let u = o + -0.57. Put 2, u, 0.5 in decreasing order.\nAnswer: 2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.4916084 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-3) + (-6)\/18. Let r(x) = -3*x - 2. Let o be r(-2). Solve -h*c - o = -24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 109665*n - 219318.\nAnswer: -3*(n - 36553)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) -14 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**3 + 3. Let f(z) = -87*z**3 + 16*z**3 - 28 - 9*z**3. Give 3*f(t) + 28*l(t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 15 = -26*a. Suppose a*h - 22 - 3 = 0. Factor -g**2 - 2*g**2 - h*g**3 + g**3 + 7*g**2.\nAnswer: -4*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*k - 111, 36 = 2*w - 5*k + k. Solve -4*s - 9*n + 4*n = w, -4*s + 5*n + 16 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-4 - -1) - (-14 - 2). Let p be (93\/6)\/(7\/o). Solve p = 5*r + 2*q, -q = -r + 2 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1.489?\nAnswer: -1.489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1770 and 189498560.\nAnswer: 568495680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y**2 - 521*y - 202. Calculate s(27).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, 42, 87, 132, 177, 222?\n\"Answer: 45*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066463679 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l - 4. Let q(v) = -2*v - 1. Let t(p) = -h(p) + 2*q(p). Suppose -5*w + 4*u + 43 = 3, 5*w + 4*u = 40. Is 18 a factor of t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -158? (a) -5 (b) -3\/7 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) + 12\/5. Let g(p) be the first derivative of -p**2 - 3*p**r + 3*p**2 + 19. Let u(n) = -n**2. Give g(u(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-239950)\/(-52789) - (-5)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4 = 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 103332 (base 4) to base 3\nAnswer: 1202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2110001002121 (base 3) to base 4\nAnswer: -10331112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 - 496*b\/3 - 123008\/3.\nAnswer: -(b + 496)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2609 = -3*b - t, -89*t + 93*t = -4. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d + 5. Let t be o(0). Let w be ((-8)\/(-6))\/((-4)\/(-6)). Let p = w - 1. Put p, -2, t in ascending order.\nAnswer: -2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhhhhhhhhhhhhhhhhh. What is prob of picking 1 v and 1 h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000048514214 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083 - 25*x**3 + 23*x**3 - 1083.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*q - 7860 = 1094*q for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 40 = 3*x, a - 137*x = -141*x - 29 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*t**5 + 19977*t**4 - t**3 - 5672435*t**2 - 2.\nAnswer: 9660*t**2 + 479448*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/242 and 91\/4796?\nAnswer: 52756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/20 and 77\/71614864.\nAnswer: 358074320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -6. Suppose -5*w + 5 = -k, -5 = -k - b*w + 8. Solve -k*h - 6 = 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.4, -3, 158, 45 in decreasing order.\nAnswer: 158, 45, 2\/21, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 51 = 51. Solve t - 4*t - 12 = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1908 - 2436 - 462)*(-3*c - 2*c + 3*c).\nAnswer: 9612*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, l: 3, y: 3, d: 3, c: 3}. What is prob of sequence vc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4363\/3, 0.1, -5.\nAnswer: -4363\/3, -5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = y - p, 5*p - 30 = 5*y. Let a(l) = -l**3 - 6*l**2 - 8*l - 7. What is the units digit of a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29902 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2. Let x(f) = -f**2 - 2*f + 2. Let b be -1*(2 - (4 - 0)). Let a(v) = 6*v**2 + 11*v - 11. Let z(h) = b*a(h) + 11*x(h). Calculate z(n(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 38. Let h = 5 + 0. Calculate the common denominator of (-728)\/t*2\/h and -81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53853 plus -0.117545094?\nAnswer: 53852.882454906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5 - 3. Suppose 0 = z - u + r*u + 31, -4*z - 4*u = 84. Let d be (-9)\/1*z\/24. Solve p - d + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -437, -965, -1493, -2021?\n\"Answer: -528*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25202731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30*n**3 - n**2 + 2*n - 8. Let y(q) = 3*q**3 + q**2 + 1. Give -l(d) - 9*y(d).\nAnswer: 3*d**3 - 8*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 6, h: 12}. Give prob of picking 1 h and 1 n.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2169 = -2*h + 2411. Let k be (-4)\/((-72)\/h) + 1. Let b = 128 - k. Put -4, -2\/11, b in decreasing order.\nAnswer: -2\/11, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-203)\/(-3364)*33\/((-3465)\/(-30)).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 9036*i**3 - 9030*i**2 - 45172*i - 27105.\nAnswer: -(i - 9035)*(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3493, -14253, -32281, -57571, -90117, -129913?\nAnswer: -176953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*c - 25, 3*b + 29 = -2*c + 4. Does 3 divide (-50)\/b - (5 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(468) + 1)*4 + 5.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1331)*1 + sqrt(176)*1.\nAnswer: -5 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31939?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14059*b**2*p*s - 231*b*p*s + 3*b*p + 3*b*s - 2*b - 4*s wrt b?\nAnswer: -28118*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092102 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/160 + 3*h**5\/80 + h**4\/16 - 3*h**2. What is t in s(t) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40900698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + d + 7. Determine y(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 77. Suppose -5*l - 5*c + 14 = 4, -2*l - m*c + 4 = 0. Solve -x - l*x - 2*y = -1, 0 = -5*x - 5*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -88. Suppose -6*c - o*c = -179777. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 8:28 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*l**2 + 41*l**2 + 5 + 26*l**2 + 3*l**4 + 40*l**2 - 15*l**3 - 149*l**2 to t*l**2 + w*l**3 + i*l**4 + c + g*l and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830.306cm in nanometers?\nAnswer: 48303060000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 4*i**2 - 3*i + 2. Let c(l) = -16*l**3 - 21*l**2 - 16*l + 11. Let x(h) = -11*a(h) + 2*c(h). Factor x(t).\nAnswer: t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c4 - -219b?\nAnswer: 1bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, -25 in increasing order.\nAnswer: -25, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223700478 a multiple of 5467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -86. Let s = r + 47. What is the second derivative of 159 - 159 + 15*g - s*g**3 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204209953 is divided by 863.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 5. Let y be -5 - 11\/((-44)\/80). Let z(f) = -f**3 + 16*f**2 - 16*f + 12. Let d be z(y). Let c(j) = -10*j - 11. What is d*c(h) + 7*m(h)?\nAnswer: -5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231590472*n**3 + 816*n**2 + 4*n - 1393 wrt n.\nAnswer: 1389542832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22033 (base 16) to base 10.\nAnswer: 139315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98309*p - 98337*p + 16 - 12 + 18 + 2*p**2 to the form g + d*p**2 + l*p and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1661 is divided by 184.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1166 - 768. Suppose -2*p + f - 136 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i, 0*i + 4 = -2*t - 5*i. Solve x = t*a, 0*x = -3*a - x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 20, 30, 20, -16?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:08 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 5*g - 13, -7*g + 5*c = -4*g - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 409 + -426.3. Let t = 13.3 + p. Which is the nearest to -2\/11? (a) 0.2 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 16*h + 3192*h**3 + 43 + 3240*h**3 - 6430*h**3.\nAnswer: 2*h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -492. Suppose -i = -g - g. Suppose 0 = 2*x - 5*q - g, -2*q = -3*x + 2*q + 218. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (6 + (1 - 3)\/1 - -1869). Calculate the greatest common divisor of l and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y**2 - 15*y + 3. Let c(d) = -38*d**2 - 36*d + 5. Let s(n) = -4*c(n) + 9*r(n). What is s(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 9\/4 (c) 107 (d) -0.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.390126kg in grams?\nAnswer: 9390.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**2*u - 770502*r**2 - 2*r*u**2 - 8*u**4 + 920*u wrt u?\nAnswer: 8*r**2 - 4*r*u - 32*u**3 + 920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 31 = -43. Let y(v) be the second derivative of -1\/12*v**x + 0*v**3 + 0 + v + 1\/2*v**2. Factor y(f).\nAnswer: -(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*v = 365*v + 36. Is 6 + v\/((-27)\/(-114)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*n = 68*n + 104*n - 17600 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -2\/15, -0.5, 14?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 109248, -4, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-5 - -12) - (1 - 2)) + (-334 - -289)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cciicyiiyicycicicii. What is prob of sequence iy?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.4191841 to one dp.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 5933144 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 278*c + 5. Let r(p) = -191*p - 17. Determine r(y(z)).\nAnswer: -53098*z - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/7616 + 138995\/7616. Let q be (-1)\/(4\/((-328)\/3)). Let j = q - 1333\/48. Find the common denominator of n and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176729852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7260*m + 3605*m + 3590*m.\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) - -2*sqrt(550))\/(sqrt(8)\/sqrt(4)*-2).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821, 1476, 1747, 1442, 369, -1664?\nAnswer: -4849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*b**2 - 111*b**2 - 105*b**2 + 112*b**2 + 253*b**2.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. What is the third derivative of 3*p**4 - 3*p**2 - p**4 - 3*p**w wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) -0.4 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1108 and (-13)\/1 - (-10123932)\/777816?\nAnswer: 9972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203281 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -7, -64 in decreasing order.\nAnswer: 36, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*9\/(-351)*-9\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z**9)\/(z**(-2\/5))**(-50))**(-2\/19) assuming z is positive.\nAnswer: z**(28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*126\/27 - -31. Solve -2*s + 4*q = -6*s - 4, 4*q = 3*s + b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 12. Let l(s) = -s. Let h(t) = f(t) + 4*l(t). Let w be ((-4708)\/242 + 19)*11. Give h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 625287*s**3 - 277658640*s**2 = 0. Calculate s.\nAnswer: -207984, -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16514 - -71?\nAnswer: -16453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 3*a**3 + 0*a**3 - 8*a**3 + a**3 + 1. Let n be c(-1). Solve -n*s = -6 - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20440150 a multiple of 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1768563 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31745.2*-118\nAnswer: 3745933.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/10 - 11*b**2\/5 - 19*b\/10 + 21\/5 = 0.\nAnswer: -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.3 (b) -5 (c) 2\/13 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/9))**(4\/5)\/(z**(-3\/19)\/(z\/(z*z**(-2\/15)))) assuming z is positive.\nAnswer: z**(857\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 65 = -3*w + 84, 0 = 2*m + w - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3159, 25464, 86037, 204012, 398523, 688704?\n\"Answer: 3189*m**3 - 18*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.247*7\nAnswer: -1.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/2 + w**2 + 29*w. What is j(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 105?\nAnswer: 105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1\/5)\/((-78)\/65).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c - 12. Let y be m(4). Solve y = 5*k + 13 - 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 433 + -430. Solve -5*l = 5*k - 10, 2*l - s*k + 16 = -0*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 6*t + 4. Let m be p(-6). Let b be 10\/(-33)*(78\/(-15) - -4). Let r = b + 10\/33. What is the nearest to r in m, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 886a + -17?\nAnswer: 8853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/18 and 49\/1318.\nAnswer: 11862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42012064979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w + 2. Let x be u(-1). Suppose 9*b - 18 = x*b. Let r be (0 + (-20)\/(-24))*-2*b. What is the greatest common factor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -48, -158, -366, -702, -1196, -1878, -2778?\n\"Answer: -5*h**3 - 4*h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-76 + 69 + 22 + -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blbzlblzbtt. Give prob of sequence zlz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7293*n - 155*n - 125060 = -3714 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.8 - -83.7. Let h = o + -8.9. Let s = h - 18.2. Is s less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(160)*1)\/(sqrt(800) + sqrt(800)*4*-2 + sqrt(800))*-6.\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49068, -196633, -442572, -786885, -1229572?\n\"Answer: -49187*k**2 - 4*k + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170774 and 1402668?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -879\/2 + 3505\/8. Let i be 39\/2*40\/6. What is the common denominator of (99\/i)\/(6\/(-5)) and u?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 5:29 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 3 + 6*z - 12*z + 3*z. Let g(v) = v + 7. What is 5*c(i) + 2*g(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*j - 500 + 2304 = 0. Let d(s) = s**2 + 20*s - 30. What is d(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -102. Find the first derivative of -12 + 51*t + 4*t - 13*t - l wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1015926 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5479 + b1?\nAnswer: 552a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 378 - -bb?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395491 is divided by 131788.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 43, 36, 11, -38, -117, -232?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*n**5 - 89 - 7*n + 3*n - 31*n**5 + 46*n**5 wrt n?\nAnswer: 5420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30 and 85194847.\nAnswer: 85194817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 11*y**2 - 3 - 7*y**2 + 0 + (21*y + 1 - 1)*(3*y - 2*y - 3*y))*(0*y**2 + 4*y**2 - 3*y**2).\nAnswer: -38*y**4 - 2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1)\/f))\/f)**(41\/4)*f*f**(1\/3)\/f*f**2\/f)**27 assuming f is positive.\nAnswer: f**(1179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945397 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, n: 1, h: 1, g: 2, d: 2}. What is prob of sequence gn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63707596357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-10) + (-4)\/(-10). Let r(h) = h - 2. Suppose 0 = q - 1 - 3. Let y be r(q). Solve -12 = -p*c - y*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5 + 64\/(-6400)*-180.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.15, 6, -3\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 436 and 19436444?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.158 - -1.1578974. What is h rounded to 6 decimal places?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/25)*m*m)\/(m**(3\/5)\/m))\/(m**(-1\/2)\/(m**(-6\/5)*m)))**(-3\/14) assuming m is positive.\nAnswer: m**(-417\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4352 + -772. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -37\nAnswer: -14\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 1 - 1. Let h(q) = -q + 1. Let j(b) = -3*b + 5. Let y(i) = -5*h(i) + j(i). Determine t(y(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y - 64. Let w = -7 + y. Let p = w + -25. Solve -z = p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -73 + (-8)\/(-4) + 0. Let d = k - -66. Let s = -15 - -16. Which is the nearest to 0? (a) d (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6627 - -13995. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from mhmhhammammmh.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21323 - 21323.2. Which is the closest to 1\/2? (a) v (b) 15 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22487671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*i*i**(-1\/4)*(i**(-5)\/i)\/((i*i*i**(2\/5))\/i))**(2\/49) assuming i is positive.\nAnswer: i**(-137\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgdvkvxrxdx. Give prob of sequence xkgr.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/28 - (-4)\/16. Solve l = 2*r + 2*z, -z + 5 = -4*r - 4*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -588\/11 + 582\/11. Let z = 1011064\/13 + -77774. Which is the third biggest value? (a) u (b) z (c) -7 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 2 p when four letters picked without replacement from {g: 3, r: 4, p: 4, q: 7}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206755205*j**3 + 8001*j - 2164.\nAnswer: 1240531230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*f + 16083 = 13*f + 38311 + 48528 for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -588 - -654. Calculate the highest common divisor of 312 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3 + ((-3720)\/868)\/(8\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (182\/(-26) + 2*16 - 5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2320)\/141520)\/(1\/2 + 1)?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -1. Suppose 0 = -r - 2*r. Suppose 5*p + 4*t - 9 = r, 0 = -2*p - p - 5*t + 8. What is the nearest to -0.1 in p, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*g + 57696, 3*g + 14*r = 13*r + 43300. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = -5*j, j + 3 = 2*k + 5. Suppose j*q + 59 = 6*q + 3*u, -14 = -q - u. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -10 + (-26 - -21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1, -1\/2, 1\/13, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3080162*v**3\/11 + 16398574*v**2\/11 + 11316816*v\/11 - 30795552\/11 = 0. What is v?\nAnswer: -3924\/1241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:40 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t + 1 = 0, 0 = -2*h - 3*t + 21 + 20. Let b = 927 - -900. Calculate the remainder when b\/49 - 4\/14 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7004407*l**2*t**3 - 2*l*t**3 - 539*l*t**2 + 1229*t wrt l.\nAnswer: 14008814*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**3 + 29*g**2 + 30*g + 12. Let h(u) = -6*u**3 - 15*u**2 - 15*u - 6. Let l(o) = -3*f(o) - 5*h(o). Factor l(t).\nAnswer: -3*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 485542 or 485247?\nAnswer: 485542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000204091171 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 6.7. Let d = 14 + -9. What is the second smallest value in 2, d, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.284 * 0.5.\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7329, 14665, 22001, 29337?\nAnswer: 36673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 15. Let q be u(5). Let m = q + 53. Let p = m - 8. Solve p = -3*c - 4*j - 16, 2*j = -0*c + c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5152 + 251 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c**3 - 21216*c**2 + 262954*c + 76860 = 0.\nAnswer: -315, -2\/7, 61\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(2736)).\nAnswer: -12 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*l - 185, -5*y + 2*l + 231 = -2*l. Calculate the greatest common factor of 94 and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -6*q + 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*v + 3*x + 10, 0 = -2*v + 2*x + 12. Calculate the remainder when 38 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -565 and -99.22206.\nAnswer: -664.22206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c**3 - c**2 - 5 + 3*c - 4*c**2. Let f(m) = 4*m + 1. What is the remainder when t(-6) is divided by f(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0335403 to 4 dps.\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1)))**(-38))**(5\/3)*z**(-3)*z**1*z\/(z*z*z\/((z*z\/((z\/(z*z\/z**(-2\/3)))\/z)*z)\/z*z)*z)*z*z*(z\/z**(-4))\/z assuming z is positive.\nAnswer: z**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1312*h + 1579. What is the thousands digit of g(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 3*s**2 + 0*s - s**2 - s + 6 + 3*s. Let c be k(-3). Let g(t) = t**2 + 9*t + 9. Give g(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 56*h + 2 + 45*h - 106*h - 1 + 137*h**2. Let c be d(1). Let w(m) = -7*m - 2. Let t be w(-3). Calculate the highest common divisor of c and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0 + 3 - 1)*(6*l - 5*l + 0*l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7 - 9 - (5 + -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50812*h**3 - 3*h + 1 - 50798*h**3 - 1 + 3*h.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:20 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(142\/10 + 2 + 0). Suppose 0 = 4*k - 3*q - f, -5*q - 37 = -0*k - 2*k. Calculate the highest common factor of 168 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Solve -g = -4*g + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -32, -44, -60, -80, -104?\n\"Answer: -2*r**2 - 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2970 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - d**2 + 0*d**2 + 3 - 108 + 5*d**2 to the form r + f*d**2 + v*d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1722)\/492*(-39244)\/7?\nAnswer: 2, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 2. Let c be (-6)\/15 - (-74)\/10. Suppose -15 = -3*u - 3*z, -4*u = 2*z - 7*z + c. Let n be v(u). Solve -n*i = 4*q, -2*q + 7*q = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 108, 160, 212, 264, 316?\n\"Answer: 52*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1724*o + 25719 = -823*o + 524*o - 22833 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6563 - -3497. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 1360614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140853 or 140854?\nAnswer: 140854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/33634 - 29261573\/235438. Let t = -124 - u. Sort 0, -3, t in decreasing order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23703 and -70.\nAnswer: -1659210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 10020?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 200\/3*(-20800260)\/(-78). Round s to the nearest 100000.\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/32)\/(-17)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18096704 and 10880?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228 = 124*a + 236 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6\/1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*c + 20, -11 = 3*g + 4. Suppose c = -4*q + 2*q. Solve -3*n - 4 - 11 = q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 5 + (1*sqrt(2448) - sqrt(2448)) + 0 + sqrt(2448)*1 + sqrt(2448) + 0)**2.\nAnswer: 528*sqrt(17) + 9913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1246\/(-140) + (6 - -3)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769*z - 35232*z - 4498*z.\nAnswer: -37961*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 5*o - 2. Suppose 5*q - 4 - 16 = 0. Let n(v) = -q*v - 7*v**2 - 5*v + 3 + 0*v. Suppose y + 0*y - 376 = -371. Calculate y*r(h) + 3*n(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12550245 + -0.1255. What is v rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2474 + -1306. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a2b (base 16) in base 2?\nAnswer: 100100101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 160. What is the remainder when 94 is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*j + j - j)*(0 - 2 + 0) + (0 - j + 0)*(-4 - 1 - 1) as v*j + h and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10360 - 787349\/76. Let w = d - 1105\/152. Find the common denominator of (77\/(-8) - -1) + -1 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -2199, -4419, -7399, -11139?\nAnswer: -15639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1978\/19 - 104. What is the nearest to 0.2 in -3, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 61, 0, -3, 1, 6 in decreasing order.\nAnswer: 61, 6, 1, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 take away -4035.2?\nAnswer: 4087.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -30*g + 28364. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 25*o**2 + 48*o - 468. Determine i(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 92*c**2 + 893*c - 1. What is b(-7)?\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4 - 4 + (9 + 6 - 7)*(6*d - 2*d - 2*d))*(-1 + 0 - 1) - 3*d + 2*d + 0*d - d - d - d.\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/45 - (-5)\/1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 4*q + 2. Let u be l(-3). Let k = 1 - u. Suppose -k = -j + 1, 47 = 2*i + 5*j. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - o - 126 + 137, -5*c + 5 = -2*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 0 + 4 - 16799*y**2.\nAnswer: -16799*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1785 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(-2 + (-1*sqrt(132)\/sqrt(4))\/(sqrt(11) + (1*sqrt(11) - sqrt(11))*-2 + sqrt(11)))*-6)**2.\nAnswer: 1800*sqrt(3) + 4274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 5 in decreasing order.\nAnswer: 5, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4350, -9143, -13936, -18729, -23522, -28315?\n\"Answer: -4793*h + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3700 by 20.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - h**5 + 5*h**5 + (0*h**2 - 2*h**2 + 5*h**2)*(22*h**2 - 2*h**3 - h**3 - 25*h**2).\nAnswer: -6*h**5 - 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a - 2*a)*(1 + 4 - 1).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140732455*m**3 - 46742021*m?\nAnswer: 844394730*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0057.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose t*q = 4*p + 16 + 64, -2*q + 4*p = -40. Calculate the smallest common multiple of q and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161499 times 2?\nAnswer: -322998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602 - 25885\/43. Suppose -4*u + 4*n = 8, 0 = 2*n - 11 + 5. Is p at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 111, 157, 203, 249?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m + 1\/120*m**5 + 5\/12*m**4 + 14*m**2 + 25 + 25\/3*m**3. Let v(c) be the second derivative of s(c). Solve v(y) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.907 - 0.1.\nAnswer: -5.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260176 and 8?\nAnswer: 260176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 221, 55, -115, -289, -467?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/6 - 20*i**3\/3 + 34*i**2. Let v be c(-7). What is the remainder when 3 is divided by (20\/v)\/(-1)*3 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*s - 1013*s - 25533 + 25533 to y*s + v and give y.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 = -26085*m + 25941*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2.1.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-112)\/672 + 330739\/6.\nAnswer: 199, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2815678 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9 and -19\/326703.\nAnswer: 980109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Suppose -3*o + 12 = 4*n - n, -2*n = -4. Let q(i) = -167*i**2 + 91*i**o - i - 195*i**2 + i. Give q(t(f)).\nAnswer: -271*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 65\/(-70) + (-3)\/(-2). Let t be (1 - -2)*3\/(-6). Which is the biggest value? (a) w (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - (-7 + 3)). Suppose 4*c + c - 65 = t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**3 + 140*r**2 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -1\/6*c**2 + 1\/18*c**3 - 13 + 0*c. Factor n(q).\nAnswer: q*(q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 b when three letters picked without replacement from yyyyayybyyyyyyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/24 - (-5)\/1. Let w = -3 + 4. Which is the nearest to w? (a) m (b) -2\/9 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 23 - 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -6*p - 5 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/12 + (-3672)\/(-288). Solve 0 = -16*y + d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3 - 63*p**2 - 123*p - 61 = 0.\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**2 + t - 4. Let j be u(4). What is the highest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 20. Let t be r(-3). Suppose 2*d = 2*q - 70, -4*q = -t*d - 122 - 10. Suppose 7*n - q = 18. Solve 0 = m + 4*g + n, m - 4 = -m + g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**5 + 416*g**4 - 5*g**2 - 30*g + 13064. Let m(w) = -w**4 - w**2 - 5*w - 1. Let d(b) = i(b) - 6*m(b). Find the third derivative of d(q) wrt q.\nAnswer: -300*q**2 + 10128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -4*p, 6*s - 8*s - 72 = 3*s - 21*p for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*c = 3*n - 41, -4*c + 27 = 5*n. Suppose 4*f = 4*g - n*g - 36, -2*f = g + 20. Let i = f - -20. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 21*a + 24. Let q be m(21). Solve -q*n = 37*n + 61 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35116081601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98\/11 - 707\/88. Let a = 12\/133 + 4813\/1197. Find the common denominator of a and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.960979 centimeters to micrometers.\nAnswer: 69609.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -51759?\nAnswer: -4140.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwwbqqqqwox. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4804925 or 4804922?\nAnswer: 4804922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/(-15)*-8*(-100)\/(-320)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211683 is divided by 35279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -4\/5, 1\/10, -2\/2283.\nAnswer: -89, -4\/5, -2\/2283, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -14. Let l = 31.7 + p. Let k = -1.97 + l. Round k to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*t + 68*t + 73*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 12, 16 = -0*l + 5*l - 3*a. Suppose 5*f - 5*m - 53 = -3*m, l*m = -3*f + 7. Find the common denominator of 7\/10 and (f\/(-33))\/(3\/3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smss when four letters picked without replacement from {s: 14, r: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 751, 1105, 1437, 1741, 2011?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440981 is divided by 7483.\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 30 = 40 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Suppose -b = 2*q + 1, -v*b = 2*q + q - 1. Solve -4*n - 2*h = 18, -3*n = -b*h + 2 - 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 3*a**2 + 2*a - 3. Let g be t(3). Let d(c) = -2*c - 31. Let m be d(-16). Put m, g, -5 in increasing order.\nAnswer: -5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**3 - 2072 + 2072 - 8*v - 2*v**4 - 18*v**2.\nAnswer: -2*v*(v + 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuufuuuuu.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346761663.\nAnswer: 53, 8089, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/170)\/((-1)\/(-5)). Let u = -577\/1190 - c. What is the common denominator of u and 103\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 + 2*q**2)*(0 + 2*q + 0) + (-14 - 6*q + 14)*(14 - 14 + 9*q**2 + (1 + 1 - 4)*(0*q**2 + 0*q**2 - 2*q**2) - q + q + q**2).\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(200)*1 - sqrt(200)) + 1)**2 - (-2 + (sqrt(8)\/sqrt(2))\/sqrt(2))).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22283771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*i - 109534 = -4328*i + 266460 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1056.28 - -1056. Put 4, 0, s in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 8*a - 4*a**3 + 7*a + 4. Let k be h(0). Suppose -2*n - 2*w = -n - 2, 8 = -k*w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901985?\nAnswer: 3, 5, 23, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 - 8 = 0. Suppose 4*f - 3*f + 9 = -g*b, 3*f - 2*b - 15 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3\/5 + 43029*s**2\/5 - 129066*s\/5 + 17208 = 0.\nAnswer: 1, 2, 14340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 + 493. Calculate the remainder when p\/12 + (-1)\/4 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 9*w + 4. Let v be z(9). Let g be v\/((-36)\/33)*-3. Suppose 0*q - 5*q = -275. Calculate the highest common factor of q and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.4554kg in tonnes?\nAnswer: 0.5314554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s - 9*i + 4*i, -i - 16 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28277\/6 + 4698. Find the common denominator of 51\/26 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 - 6*v - 5. Let y be t(-4). Differentiate -2 - 40*p**y + 10*p**4 + 40*p**3 + 13 with respect to p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/13)*f**(-8) assuming f is positive.\nAnswer: f**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 2*s. Calculate the common denominator of k(2) and -31\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 885\/19, 4, -334?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.9 - -15.9. Let w = 27 - m. Which is the smallest value? (a) -4 (b) w (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -1117?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -153004 greater than -152420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 930253 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**7*f**5\/f)\/((f*f**(-6))\/(f**6\/f*f)) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-5)*19\/(-133)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + 0.2. Let d = -0.4 + -0.1. Which is the nearest to -0.1? (a) r (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 8, h: 5, a: 2, b: 1}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cttv when four letters picked without replacement from {v: 5, t: 6, c: 4}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 33*j - 37*j + 1144, 1639 = 6*j + 5*m. Calculate the highest common divisor of 31 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/720 + 5*p**4\/12 - 3*p**2. Let l(t) be the second derivative of v(t). Let y(i) = -10*i**2. What is l(y(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 166213, 332355, 498489, 664609, 830709, 996783, 1162825, 1328829?\n\"Answer: -l**3 + 2*l**2 + 166143*l + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f + 88 = -30*f - 72 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {s: 4, i: 2, g: 8}?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m. Let f(o) be the first derivative of o**4\/12 - 19*o**2\/2 + 11*o + 106. Let t(z) be the first derivative of f(z). Determine t(b(v)).\nAnswer: 16*v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7419.\nAnswer: 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10*(24 - 4). Let z(h) = -h**3 + 7*h**2 + 8*h + 2. What is the units digit of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*15\/(-3510)*9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34662, -69273, -103884, -138495, -173106?\n\"Answer: -34611*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let x be a(10). Suppose -h + x = 2*h. Suppose w + 0*w - h = 0. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122010531193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.04 (b) -1222 (c) -2\/3 (d) 2\/15 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 88*w**2 + 350*w - 1651. Let x be v(-92). Solve 91*n - 90*n = 5, -5*n + 35 = x*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1\/160, 5, -1\/2 in ascending order.\nAnswer: -5, -3, -1\/2, -1\/160, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -73. Suppose -3*j - k = -4*i - 0*j, 2*i - 5*j - 21 = 0. Suppose -p - 4*p + 20 = 0. Put i, 30, p in descending order.\nAnswer: 30, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609 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: What is the hundred millions digit of 129728090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -30*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 e, and 1 u when four letters picked without replacement from eiinu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxwjjwlj. What is prob of picking 3 j?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10 + 21*p - 9 - 18*p. Suppose -s = 5*t + 24, 5*s + 4*t + 8 = -49. Calculate y(s).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 4 (c) -5 (d) 67 (e) 1\/5 (f) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 - 1. Suppose 9*l - 2*l = 0. What is q(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 6*m**2 + 5*m + 2. Let l(j) = -3*j**3 - 3*j**2 - 6*j - 3. Let z(a) = -5*l(a) - 4*v(a). Suppose 2*u + 4 = -16. Give z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -90*x**3 + x - 1. Let q be p(1). Let m = -64 - q. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3714944*z**4 - 5319*z**2 + 72*z wrt z.\nAnswer: -89158656*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -19\/4. Suppose 0 = 7*j + 8*j + 30. Is j at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 3}. Give prob of sequence yyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41412*r**3 + 0 - 2 + 11*r + 10*r.\nAnswer: -41412*r**3 + 21*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-9)\/(-54)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -114, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c + 1. Let i be 5*(24\/(-20) - 4). Let w be ((-39)\/i)\/(6\/8). Give n(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/442068 and -35\/1182?\nAnswer: 442068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233884 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 5, s: 5, n: 1, g: 8}. Give prob of sequence gs.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1528*p - 450 - 3184 + 578 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -325*(-28)\/2800*(-28)\/7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 7*z - 5*z + 16726796, 3*z - 37635306 = 9*v. Round v to the nearest ten thousand.\nAnswer: -4180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535 (base 7) in base 13?\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = 2*t, -6 = 5*t - 2*w - w. Suppose t = 8*i - 54 - 98. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2597861*s**3 - s**2 - 363180871 wrt s.\nAnswer: 7793583*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfaccadacaaa. Give prob of picking 2 c and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4413? (a) 0 (b) 48 (c) -0.2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 19*d - 19 + (-2 - 2 + 5)*(-4*d - d + 3*d) + 2*d + 0*d - 3*d - 2*d + 3*d + 3*d + d - 2*d + 3*d + (-2 + 2 - 2)*(4*d - 3*d - 3*d) + 2*d - 2 + 2.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005276093 to 5 decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 1\/2, -1.\nAnswer: -1, -0.3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or -74?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936*f - 3774*f + 309 = -1912*f - 1393 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 11*i**3 - 27*i**3 + 15*i**3 as l*i + s*i**2 + w + q*i**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlldlldqlll. Give prob of sequence dldq.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 40. Let t be f(-6). Let x = t - -6. Suppose x*u = -5*y - 15, 15 = -6*y + y. Solve u = -3*q + 2 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301 + -328 - (-2 - (-37 + 9)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782182151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312124 (base 5) in base 16?\nAnswer: -653a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 8*u - 5*p + 708 = 0, -3*p + 1409 = 2*u. What is the remainder when u is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4487)\/1923)\/((-2)\/((-36)\/(-3))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-30))\/(2\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16\/x**(-18) assuming x is positive.\nAnswer: x**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -14602, 0 in descending order.\nAnswer: 25, 0, -14602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/60 - o**4\/6 + 2*o**3\/3 + 5*o**2. What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16781, 16777, 16771, 16763, 16753?\n\"Answer: -i**2 - i + 16783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*c, -3573*c + 3574*c - 5*u = 10 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1557 + -1552. What is the nearest to -2 in k, -88, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03647 - 0.09353. Sort -1\/23, -4, h.\nAnswer: -4, h, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97247.5*0.2\nAnswer: 19449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 4445*n**2 + 4440*n.\nAnswer: 5*n*(n + 1)*(n + 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5925 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7984 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 923183801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512765 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/11 or -336\/29?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159912845 to the nearest integer?\nAnswer: 12646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3334, -1\/4, -1\/6, 4\/17, 0?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + -3 + (-2 - -6). Let f(z) be the third derivative of 0 + 0*z - 1\/12*z**3 + 1\/420*z**7 + 1\/24*z**4 + 0*z**5 - 1\/120*z**6 - v*z**2. Factor f(x).\nAnswer: (x - 1)**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 17*c = 20. Factor 2*w**4 - 1\/2*w**5 - 3*w**3 + 0 + c*w**2 - 1\/2*w.\nAnswer: -w*(w - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63675 divided by 12735.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1230.35 - -1232.35. Let q(t) = -4*t - 8. Let h be q(-7). Let n be 4\/6 - h\/45. What is the fourth biggest value in n, f, 4, 5\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 14*l + 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2)\/(15568\/64748). Let m = p + 9\/278. Find the common denominator of -50\/3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3, r + 0*b = 3*b + 9. Let m be 29\/2 - (-1)\/(-2). Let o = m - r. Solve -5*t + x + o*x - 22 = 0, -2*t - 5*x = -16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 17*p**2 + 6. Let a be s(17). Solve -a = -3*t + 3*y, -4*y - 13 = -t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 7*i + 4. Let u be x(-7). Solve -5*m = -u*y + 7, 2*y = 2*m - 1 + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337964 is divided by 112621?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220024991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 353496739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 44*q**3 + 5*q**2 + 3*q - 7. Let l be i(2). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/65, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - ((-4)\/(-4) + -3). Suppose -4*d + 7*d + 6 = b. Calculate the remainder when 54 is divided by d + ((-25)\/(-2) - (-6)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.08 + -1. Let p = o - -0.02. Let v be -1*((-2)\/1 + 2). Which is the nearest to p? (a) v (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25078188 is divided by 25078186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2269 - 2265. Factor -4\/3*f**3 + 4\/3*f**2 + 2\/3*f**5 - 2\/3*f**a + 2\/3*f - 2\/3.\nAnswer: 2*(f - 1)**3*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17922 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, -96, -561, -1514, -3117, -5532, -8921, -13446?\n\"Answer: -27*p**3 - p**2 + 53*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 112803*d - 1466263. Give y(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -401, -1481, -3607, -7127, -12389, -19741, -29531?\n\"Answer: -58*y**3 - y**2 + 27*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.2*-4022.84.\nAnswer: -109421.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 7835568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175*(-15)\/225*-15*6\/15.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-112) + 6)*24\/(-32)*-1?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 8*j - 8. Give d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 11 + 13 = -4*v, 4*g - 5*v - 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 160 times 1.9\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 + 9*q**2 - 3. Let i(n) = -5*n**3 + 4*n**2 - 1. Give -2*d(l) + 5*i(l).\nAnswer: -3*l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7477*t**2 - 2448*t - 38523532 wrt t?\nAnswer: -14954*t - 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6150371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 9}. Give prob of sequence dada.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4, 5*c = -6*q - 19 + 102 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853930.7 decades to centuries.\nAnswer: 85393.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31558.2 + 171772698.\nAnswer: 171804256.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 5*d + 44\/3.\nAnswer: (d - 11)*(d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-266))\/(9\/240)*7\/2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*n + 3*j - 10, -2 = -j. Let b(h) = h + h - 3*h + n*h. Let o(u) = -9*u**2. Calculate o(b(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221.7711 - -5155.\nAnswer: 4933.2289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5 + 76*p**4 + 240*p**3 + 244*p**2 + 82*p.\nAnswer: -2*p*(p - 41)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 6*u - 3*u)*(2*u + 8*u**2 + 51 - 6 - 16).\nAnswer: -48*u**3 - 12*u**2 - 174*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 6. Let k be i(-5). Let w = -7 + 9. Let j = -0.7 - -0.3. Which is the nearest to -2\/5? (a) k (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.5 - -11.4884. What is b rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29284637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*(-928)\/16. Let b = j + 571. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17639560*w**2 - 8412955*w wrt w.\nAnswer: 35279120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 15*w - 30. What is the smallest common multiple of r(-12) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-168)*12*1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*z**2 + 853*j**2 + 7*j*z + 6271975*z**2 + 591*z wrt z.\nAnswer: -4*j**2 + 12543950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m*m*m*m**0*m)\/((m**(1\/5)*m)\/(m**6*m)))**(31\/3) assuming m is positive.\nAnswer: m**(2449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3003 and 317499.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 8. Calculate the remainder when (-112)\/32*(-3 - -21)*-1 is divided by m(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280073336*q**3 + 797*q**2 - 92*q + 243 wrt q.\nAnswer: -1680440016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/120 - 7*k**5\/60 + k**4\/4 - 5*k**3\/3 + 17*k**2. Let r be w(-8). Solve r*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10088497\/1188 - -8492. Are f and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 1195 + 985 - 374 = 0. Calculate the least common multiple of t and 48.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001133 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171929 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12596 or -12590?\nAnswer: -12596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537708107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9.1, -1, -0.2, 7, 4?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2852 = -90*r + 94*r, b + 2*r = 1426. Does 92 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6*(-6 + 3). Suppose -2*s - u = 5*c - 2, -c - 3*s - 9 = 0. Let f = c + 6. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 5*v - 3*y, 25*v - 30*v - 5*y - 85 = 0. Let b(d) = 13*d + 10. Let r(f) = -4*f - 3. Determine v*r(j) - 4*b(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*h - 402, -5*h - s - 90 + 476 = 0. Suppose -3*p + p + 58 = -4*a, -5*a - h = 3*p. Let f be -25*(6\/a - 0). Solve f - 2 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -16 + (-16 - (-12 + (1 - 19))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54 - 1)\/(1\/1). Let o(p) = 4*p**3 + p**2 + p - 2. Let q be o(-2). Let y = q + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/80 and (-535)\/(-120)*(-27)\/(-108).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 23. Put 0, -3, j in increasing order.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 1717?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtrr when four letters picked without replacement from rrrtttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 1146*n - 7. Let o(t) = t**2. What is p(o(f))?\nAnswer: 4*f**4 + 1146*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)*b*b\/b**10 assuming b is positive.\nAnswer: b**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 2. Let q(i) = -3*i + 2. Let a = 474 + -470. Calculate a*q(p) + 5*l(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/4 + 5*x\/4 - 3\/2 = 0. What is x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/26)\/((-3)\/2). Which is the second biggest value? (a) -0.7 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41776568 and -20?\nAnswer: 835531360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 - 17*f**2 - 2*f**4 - 419*f**3 + 446*f**3 - f to the form n*f**4 + j*f**2 + z*f + v*f**3 + m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Let s = 13.62 + -1.72. Let o = 12 - s. What is the nearest to n in 0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24499, -98622, -222171, -395152, -617571, -889434?\nAnswer: -1210747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 - 7*b**2\/2 + 3*b + 2. Let o be n(-7). Suppose 0 = 4*l - 10 - 6. Solve o*a - l*a + 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-40) - (3\/(-2))\/((-948)\/(-1343))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 0, 4*k - 7*k - b = 1. Let z = 13 - 11. Suppose 0 = -3*g, a + z*g = -3*g - 2. Is k less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311 + -574. Let v = w - -281. Calculate the highest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-2)\/2 - 2\/(-2). Suppose 5*n - 5*m = 30, 2*n - o*m = 16 + 8. Suppose 0 = -n*b - 2*u, 3*u + 1 = -4*b - 2*u. Let s(g) = g + 1. Determine s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - k**3 - 7*k + 2*k + 5 - 5*k**2. Let d(j) be the third derivative of j**6\/20 + j**3\/6 + j**2. Let g be d(-1). Determine t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4712 rounded to 1 dp?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -334803 divided by -21\nAnswer: 15943","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 278, -4 in decreasing order.\nAnswer: 278, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 2, j: 1, g: 2, y: 4}. Give prob of sequence yzjg.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and 20\/591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0 + 4)*-5.\nAnswer: -15*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 12 - 1. Suppose 0 = w - 3*a + 7, w - 3*a + i = 3*w. Suppose 2 - 26 = -w*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a + 48 = 0. Suppose 19 + 29 = 2*t. Calculate the highest common divisor of t and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -14.49?\nAnswer: 17.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130 - ((308 - 164) + 39).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**3*m**2 - 50*g**3*m - 63562*g**3 - 2687*g**2*m**2 - 9*g**2 + 248*g*m**2 + 2*g*m wrt m?\nAnswer: 14*g**3 - 5374*g**2 + 496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 77\/15 + (-1)\/(-5). Factor 2*o - 4\/3*o**3 + 2\/3 + a*o**2 - 2\/3*o**5 - 2*o**4.\nAnswer: -2*(o - 1)*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165109968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2590 by -185.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.1. Let k = g + -0.2. Let i = -1172 - -1171.9. Which is the closest to i? (a) 1\/6 (b) k (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582*j = 589*j - 9772. List the prime factors of j.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 8*z = 1568. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -280*q - 241. Let f(h) = -170*h - 1. Let i(z) = 2*f(z) - n(z). What is i(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 12*l**2 + 8*l - 19. Give o(13).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 + 0?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.515 + -5.515. Which is the closest to -5? (a) -2.6 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 less than or equal to 172\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11896.\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3088*v**2. Let s(k) = 8*k**2. Determine s(u(b)).\nAnswer: 76285952*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -283\/5. Let h = -0.07 + -4.93. What is the smallest value in z, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 332 * -0.02.\nAnswer: -6.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w - 100 = -58*w + 121*w + 11*q, w - 12 = 5*q for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 148*z**2 - 100*z - 17. Let k be n(50). Let t = 5 - 22. Is t at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*n. Suppose 11 - 36 = -n*a. Let x(p) = -6*p + a*p + 3 - 2 + 2*p**2. Calculate x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 87. Let l(v) = -v - 86. Let h(a) = -4*b(a) - 3*l(a). Let p(s) = s**2 + 5*s + 88. Let z(j) = -6*h(j) - 5*p(j). Factor z(m).\nAnswer: -5*(m - 5)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289 - 267. What is the remainder when 88 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-5))\/(10\/100). What is the highest common factor of 156 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*z - 20, 4*z - 8 - 9 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*i - 5, -5*u = -2*u - 4*i - 18. Suppose 2*v + v - 5 = o, -u*v = -3*o - 8. Put -4, 0, v in decreasing order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h + 2*h + 5*h)*(-5*h**4 + 0*h**4 + 11*h**4) + 0*h**5 - h**5 + 2*h**5.\nAnswer: -29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - y - 3, -4 = 4*y - 8. Let g be -5*4\/(-4)*z. Suppose -r = -4*l + 3*l + 20, 0 = 3*l - g*r - 54. Calculate the remainder when 44 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 12*a**2 - 33.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 1\/2*u**3 - 1\/4*u**4 - 1\/2*u**2 - 3*u + 1\/20*u**5 + 0. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -6*k**5 - 2564*k**4 - 283080*k**3 - 1940400*k**2 = 0.\nAnswer: -210, -22\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 8*k - 103. Calculate q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20059 - -21356.4. What is g rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1520 + 1524. Solve -3*t = 15, -b*t + 6*t + 6 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from vqimvnmgqqmqmvvvm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - 3*g + 2. Let o be r(-9). Let z be o\/(-4) - (-24)\/(-32). Let v = -50 + z. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.5 or 2.6?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 0.5 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.49 from 145.5064.\nAnswer: 156.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 60. Suppose 5*n - 4*p - 919 = 0, 0*p = 3*n + l*p - 581. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - -10. Let f = c - 50. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6110)\/1300 - (-12)\/(-40))\/(-1 + 19\/2)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y - 38. Let d be v(6). Let t(z) be the third derivative of z**6\/120 - z**5\/20 - z**4\/8 - z**3\/2 - z**2 - 79*z. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1090, -1096, -1102, -1108?\n\"Answer: -6*z - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/4 - (-2)\/4*1. Let g = o - -47. Suppose n - 2*z = -n + 182, n - g = -5*z. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87381.31 to the nearest one thousand.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*q**5 + 168*q**5 - 97*q**5 + (57*q**2 + 44*q**2 - 30*q**2)*(-5*q**3 + 3*q**2 + 3*q**3 + 3*q**3).\nAnswer: -12*q**5 + 213*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (43164\/(-545))\/132 + (1 + 0)*(-1452)\/(-20)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose 0 = -3*t + 4*s + s + 20, -3*s - 12 = -2*t. Solve f - 5 + k = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 2. Let b be p(3). Suppose -3*d - b = 3*s - 4, 5*d - 10 = 0. Which is smaller: s or 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74999736 to the nearest integer?\nAnswer: 8660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 987798 and 1567566?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022202220 (base 3) to base 16.\nAnswer: b2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 26*y = -108. Let z = -7 + y. Which is the second smallest value? (a) -0.1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*27*4\/(-42)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*x - 1711 - 1716 + 3422)*(-5*x + 4*x + 0*x).\nAnswer: -180*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 92. Solve 0 = c*z - 20 - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdo. What is prob of picking 1 d and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*i)*(-35 + 6 + 70)*(-5 + 8 - 2*i - 1) to the form h*i + a*i**2 + b and give h.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105547226 divided by -2.\nAnswer: -52773613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**3 - 1. Let y be f(-1). Suppose 0 = -5*h - 5*p - y, 5*h - p - 3*p + 5 = 0. Let c be ((-36)\/(-4))\/(2\/((-2)\/h)). Solve 5*d - c = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*c - q - 3 = -2120*c, 0 = -3*c - 4*q - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 98 = 2*h. Suppose c = -4*i - 25, -5*c + i - 5*i - 205 = 0. Let t = c + h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 10. Let x = 17 + p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 8. Give k(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*(-30)\/(-9). Suppose -18 = -b*f - 8. Is f\/(6\/(-9)) - -22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28228*t + 28219*t + 28217*t - 84645*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19483*h - 71632 = -20297*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*w + 2\/11*w**2 + 0.\nAnswer: 2*w*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9232 and 12310295?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7318136um to centimeters.\nAnswer: 0.00007318136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 13*o**2 + 12*o + 16. Let q be w(12). What is the highest common divisor of 208 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(832) + -2 + -2)**2 - (5 + (sqrt(468) - (-3 + (sqrt(468) + 1 - sqrt(468))))**2))*-6.\nAnswer: -5034 + 624*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3922572 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 154398769003?\nAnswer: 154398769002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 3*i**4 - 16145*i**3 + 16146*i**3 + 9 to t*i + d*i**2 + q + z*i**3 + p*i**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 121305.3\nAnswer: -1819579.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -20. Let z(g) be the third derivative of 1\/105*g**7 + 1\/10*g**5 + 0*g + 0 + 1\/12*g**4 + 0*g**r - g**2 + 1\/20*g**6. Solve z(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:01 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2 + 1. Suppose w = -0*b + 3*b, w - 5*b = 0. Solve w = t - z*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 8*u**2 + u + 1. Let q be z(8). Suppose -55 = 4*i - q*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 5*x + 17. Let g be f(-7). Let n be (-156)\/36 + 1\/g. Sort -9, 3, n.\nAnswer: -9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = 12. Let d(l) = 2*l + 6. Let g be d(a). Solve g = -4*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1064?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -136*v**3 - 17*v**2 - 7*v - 10. Let k(y) = 18*y + 5. Let q be k(-1). Let h be m(q). What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than or equal to -1344809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -38. Solve -3 - s = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -25*r - 426 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -979 + 982. Let a(v) be the third derivative of 0*v - v**r + 1\/24*v**4 + 0 + 6*v**2. Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 - 3*u - 5*u**2 + 4*u**2 - 8 - 5*u. Let w be q(-6). Suppose 3*y + w*t = 3*t - 4800012, 5*t = -y - 1600015. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-22)*(-1 + -13). Let d = -7 - l. Solve d*n + 4*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.378 - -0.078. Let i = j + -0.7. Let l = 3.7 + i. Put l, 5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 1396 = -45*j. Let k = 384 + j. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -2\/3, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 15. Let n(a) = 3*a + 8. Let m(t) = -2*h(t) - 5*n(t). Let u be m(-4). Find the third derivative of -4*k**3 + 7*k**2 - 3*k**2 - 9*k**u wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472.9 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-42))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5) + -1 + (-2 - 1) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150485380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.003196 * -27\nAnswer: -0.086292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - n**2 - n - 2. Let y be s(2). Let v be y\/(-6)*(-42)\/4. Suppose -r + 55 = 6*k - 2*k, 4*r = 2*k - v. Solve 3*j - 4 = -k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/6 + 20 + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185224\/(-5754) + 20\/105.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 3. Let o be n(-6). Let m be (611\/(-78))\/(2\/o). Let p = -35 - m. What is the nearest to 0.1 in -2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**9\/3024 - v**5\/15 - v**4\/6 - 11*v. Let j(q) be the third derivative of s(q). Differentiate j(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 90.\nAnswer: 23\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 56. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -175\/4. Which is the nearest to -0.1? (a) -2\/3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258839, -1035383, -2329623, -4141559, -6471191, -9318519, -12683543?\nAnswer: -16566263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000062842874 to 7 decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 60*n + 150. Is 25 a factor of b(75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n + 1. Suppose 7*c = -2*x + 10*c - 15, 3*c = 5*x + 33. What is y(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 24 + -6 + -8 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-11)*s**(-5))\/(s**(-5\/7)*s*s\/s**8))**27)**(-2\/19) assuming s is positive.\nAnswer: s**(3510\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42237205 is divided by 10185?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507465 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3713 (base 9) to base 12\nAnswer: -1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00197976431 rounded to seven dps?\nAnswer: -0.0019798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5464 (base 10) in base 14?\nAnswer: -1dc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 803338267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 - 547 = 21*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, 3, -8, -1, -266 in increasing order.\nAnswer: -266, -20, -8, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 + 10*p - 4. Let v(b) = 7*b**2 + 9*b - 3. Let y(w) = -6*v(w) + 5*z(w). Calculate y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 1 - 1)*(-24*l**2 + 73924 - 73924 + (-4 + 4 + l)*(l - 3*l + 0*l) - l**2 - 4*l**2 + 6*l**2) to the form d*l**2 + z*l**3 + a + j*l and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -263 (b) -4 (c) -1\/8 (d) 15 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + k - 13. Let t be l(0). Let d = 2710.3 + -2710.3. Sort 1\/2, d, t in descending order.\nAnswer: 1\/2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -19, -61, -121?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -562*v - 3. Let c(r) = -841*r - 4. Give -7*a(d) + 5*c(d).\nAnswer: -271*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -0.1 (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from iididiidddiii?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770\/30 - (-4)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 329645109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 135 = 185 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-512)\/36 + 14 + 291\/(-27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 128414*n - 97 = 128411*n, -4*q - 5*n = -191 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n. Let o(q) be the second derivative of -q**4\/6 - 107*q**3\/2 + 11*q - 9. Determine o(h(z)).\nAnswer: -32*z**2 - 1284*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Find the common denominator of (-2)\/(-48)*(-8 + a) and -59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 6*d + 1. Let s(z) = -z**3 - 5*z. Let t = 131 - 127. Give t*s(m) + 3*j(m).\nAnswer: 2*m**3 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4\/(-144))\/((20\/(-66))\/(-5)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243787*b - 233202*b + 477000*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.10054643 to 0 dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5715 - 6874?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2282255*i**3 - 6991136*i.\nAnswer: -13693530*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13558318 by -118.\nAnswer: -114901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s*s**12*s)*(s*s**(2\/19))\/(s\/s**(5\/4)*s) assuming s is positive.\nAnswer: s**(-1417\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/120 - 2*b**5\/15 - b**4\/24 - 11*b**2. Let x be y(-8). Calculate the common denominator of 42 and (-1)\/4 + (-57)\/x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311044, 311083, 311138, 311215, 311320, 311459, 311638?\nAnswer: 311863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(65201 - 1220*y - 65201)*(-3 + 3 + 5*y**2 - 2*y).\nAnswer: -12200*y**3 + 4880*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (62\/7)\/((-1287)\/(-273)) - 5\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2 + 8*y**2 + 6*y - 3 - 7*y**2. What is the units digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/14 + -65\/84. Let c = r + -4\/3. Calculate the common denominator of 6 - 3 - 41\/(-12) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*a - 2 + 89*a**2 - 2*a**4 + 4 - 139*a - 4 to the form u*a**3 + g*a + v*a**2 + x*a**4 + t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 4\/6 + -1. Let f be 0 - 3 - 1170\/24. Let p = f - -52. Sort p, -3, l in decreasing order.\nAnswer: p, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*k + 4, 5*y + 2 = y + 2*k. Let j be y*1*3\/(-3). Suppose j = 3*l - 3*x + 4*x - 1948, -x = 2. What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13768, 26800, 39782, 52708, 65572, 78368, 91090, 103732?\nAnswer: 116288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/845466 and 37\/696?\nAnswer: 3381864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064356 rounded to five decimal places?\nAnswer: -0.00644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12791\/67033?\nAnswer: -12791\/67033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - -2*sqrt(65)*2))\/(6*sqrt(20) - sqrt(5)) + (-5*(sqrt(325) - (sqrt(325) + -2*sqrt(325))) + 2)**2.\nAnswer: -2204*sqrt(13)\/11 + 32504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - g**3 - 12*g - 43*g**3 - 7*g**3.\nAnswer: -51*g**3 - 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, f: 5, k: 1, l: 3}. What is prob of picking 1 f and 1 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + 2*s)*(2*s - 2*s + s**2 + (-3*s + s + 4*s)*(2*s - 6*s + 3*s) + 3*s**2 + s**2 - 6*s**2)*(3*s - s - 3*s).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*z = 208*z - 392*z - 9362. Let x(f) = f + 8. What is the lowest common multiple of z and x(12)?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and -13\/5650568.\nAnswer: 28252840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3876)\/95 - -40)\/(2\/105)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1 - (-2 - -4)). Let q(y) = -y**4 + 1. Let k(c) = -4*c**4 + 2. Let l(r) = a*k(r) - 6*q(r). Differentiate l(t) with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 2, l: 4, z: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*j + 12 - 3, 3*l - j = 3. Solve 3 = 3*d + 3*x, -2*x + l*x = -2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*l = 12, 4*l = a + 3*l - 3. Let q(x) be the third derivative of -1\/24*x**4 - x**2 + 1\/3*x**3 + 0*x + 0 + 1\/20*x**5 - 1\/120*x**6. Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x**2. Suppose -2 = n - 7. Let g(f) = 119*f**2. Let i(u) = -2553*u - 283425. Let p be i(-111). What is n*g(d) + p*t(d)?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 - 13*b + 12*b + 5 - 5*b**4 as f*b**2 + q + s*b**3 + d*b**4 + p*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2*n**3\/3 + 2*n - 10. What is the derivative of l(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1967.\nAnswer: 3934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-5 - 11) - (15 + -7 - -36 - -1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 31.\nAnswer: 141\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.00000017 - 23. What is s rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u**(-7\/2)*(u**(-1))**(-29\/4) assuming u is positive.\nAnswer: u**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t - 230. What is the greatest common factor of 736 and t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {f: 5, g: 2, x: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 13. Let o(j) = j + 1. Let p(d) = l(d) - 3*o(d). Let m be p(-3). Let t = 82 + m. What is the remainder when t is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:07 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 813\/329 + -17\/7. Let j be (-20)\/(-12) + ((-128)\/(-24) - 6). Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155705869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*y - 80*y + 113*y)*(-39 - 23 - 1 - 3).\nAnswer: 8184*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-65)*4\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27750 and 1088910.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 569*n**2 - 26*n + 103. Let c(y) = -1707*y**2 + 79*y - 308. Let w(f) = 4*c(f) + 11*g(f). Let q be w(7). Round q to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(357)*2 - sqrt(357) - sqrt(357))\/sqrt(7))\/((sqrt(33)*1)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -17 - 5. Let b(u) = u - 8. Let k be b(11). Sort -3, q, -4, k in descending order.\nAnswer: k, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 120*m**2 - 12 + m + 11 + 121*m**2. Let t be ((-2)\/(-4))\/((-1)\/(-40)). Suppose -y - h + 3 = 2*h, -4*h + t = -4*y. What is v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2*v - 3*v)*(-5 + 3 + 0)*(-3*v**4 + 4*v**4 - 2*v**4).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + -211?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17035, 16314, 15111, 13426, 11259, 8610?\nAnswer: 5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3832 = -4*k - 2*r, 2 = -2*r. List the prime factors of k.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1840 and -31\/18.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582700369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5479 smaller than -5005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1858583285 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let y be (-2)\/i + (-1 - -7). Suppose 2*u = y*q - 50, -7 = -2*q + 3*u + 24. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1224*n**2 - 2 - 143*n**2 + 544*n**2 - n**3 to u*n**2 + v*n + g*n**3 + o and give u.\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 15, 19, 35, 69, 127, 215, 339?\n\"Answer: f**3 - 3*f**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1075, 1079, 1085, 1093, 1103, 1115?\n\"Answer: h**2 + h + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 - 25712*m**3 - 41370560*m**2 - 165071104*m = 0.\nAnswer: -3212, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4212 and 58699404?\nAnswer: 763092252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 252. What is the highest common factor of 80 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/132*(-11)\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (7 - 67)) + (86 - 78) - (2 - 7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*4*1)\/(-5*(sqrt(84)\/sqrt(12) - sqrt(7)) + sqrt(7)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*4*1\/8)\/(-1). Solve 3*j**3 - 144 - 7*j + 44*j**2 + 55*j - 11*j**3 + i*j**4 - 4*j**4 = 0 for j.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 7}. Give prob of sequence mw.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11b0326 (base 13) to base 15\nAnswer: 73d65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/3)*d)\/d*d)\/(d*d**(-1\/10)))**(-40)*((d**(-1))**(-36\/7))**(-1\/4) assuming d is positive.\nAnswer: d**(-671\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 88. What is the third derivative of -44*k**5 + k**2 + 5*k**6 + f*k**5 + 0*k**6 wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -71, -258, -625, -1232, -2139, -3406?\n\"Answer: -10*t**3 + 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 18 + s**3 - 4)*(-3*s**2 + 3*s**2 - 2*s**2 + (s**2 - s + s)*(-4 + 5 - 3) - s**2 + s - s).\nAnswer: -5*s**5 - 35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4058 divide 403413896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7416, 15231, 23048, 30867, 38688, 46511?\n\"Answer: x**2 + 7812*x - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -97\/3 (b) -25 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.51 + -0.21. Let v = g - 15. Let u = -7 - -19\/3. Which is the second biggest value? (a) u (b) -1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3. What is the third smallest value in -2\/9, t, 11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2*s + 7. Let u be h(3). Suppose -4*b = 2*n + 170, 0*n - n - 217 = 5*b. What is the tens digit of 134\/11 - u\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - sqrt(567)*-2 - (sqrt(7) - -4*sqrt(175)))**2*4 + 1)*-2.\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i**3 + 9*i**2\/2 + 15*i. What is the first derivative of c(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:55 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.005, -0.37, 1, 3, 0 in descending order.\nAnswer: 3, 1, 0.005, 0, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35607339 to the nearest integer?\nAnswer: 5967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2*i - 7*i. Let c(m) = -m. Let u(x) = 5*x**3 - x**2 + x + 1. Let z be u(-1). Let s(r) = z*w(r) + 26*c(r). Let l(g) = g**2. Give s(l(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2700, -1\/2, 2\/15 in ascending order.\nAnswer: -1\/2, 2\/15, 2700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 + 10314*n**4\/7 - 21009*n**3 + 729012*n**2\/7 - 211860*n + 1060800\/7 = 0.\nAnswer: -3536\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -338, -623, -1034, -1577, -2258, -3083, -4058?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -452970 or -5888604\/13?\nAnswer: -5888604\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + -43341463?\nAnswer: -43341505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + bcb27?\nAnswer: bcb26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13051 - 13039. Let h(v) = -v + 6. Calculate h(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(4*sqrt(60)\/sqrt(3))\/sqrt(4) + (-6*sqrt(20)\/sqrt(4)*1 - (-5 + (sqrt(55)\/(sqrt(11)*-2))**2)).\nAnswer: 15\/4 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323.278 - -300.3901. Let h = -0.4021 + s. Round h to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2.1, 53876, 0, 0.4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.4 (c) 41\/10 (d) 2 (e) -1 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from mbbbbmbb.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 46*m - 2082. What is r(45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 4*m**4 + 0*m**4)*(2*m - 4 + 4) + 15*m**4 - 4*m**5 - 15*m**4 + (-3*m**5 + 3*m**5 - 2*m**5)*(2 - 3 + 3).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**7\/420 + r**6\/240 - r**5\/120 - r**4\/48 - r**2 - 3. Let h(o) be the second derivative of w(o). Factor h(t).\nAnswer: t*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3 + 246*u**2 + 489*u - 310. Find s, given that d(s) = 0.\nAnswer: -163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.1525l in millilitres?\nAnswer: 73152.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 1\/5*b**5 + 164 + 0*b - 4\/3*b**3 + 0*b**2 - 3\/4*b**4. Factor a(l).\nAnswer: l**2*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (501\/(-126) - -4)*-1. Let a = 79\/210 - k. Suppose 0 - a*b**2 + 0*b + 1\/5*b**5 + 2\/5*b**4 - 1\/5*b**3 = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13916 - -13912. Which is the nearest to -0.1? (a) h (b) -0.3 (c) 7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*k + 25, -g + k = -4*g + 10. Let s = -19.04 + 19. Sort g, s, -1 in ascending order.\nAnswer: -1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m - 2. Let f be a(-1). Let g = -4 - f. Let n(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - w**4\/4 - 11*w**3\/6 + w**2 + 13. Calculate n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {e: 5, i: 1, a: 1, b: 4, z: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 21*q + 273 = 0. What is the first derivative of 77*n**3 + 6 - 75*n**3 - q wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 15, -5*x + 54 = 3*t + 30. Solve -u = 3*u + 5*b + 1, u + x = -4*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**27)**32)**(-36))**(2\/3))**(-43) assuming v is positive.\nAnswer: v**891648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 5063872.\nAnswer: 116469056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 501491033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414 divided by 6.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9848998, 9848978, 9848958, 9848938?\nAnswer: 9848918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 - 11*i**2 - 2*i + 1. Let b(v) = 16*v**3 + 31*v**2 + 5*v - 3. What is 2*b(r) + 7*w(r)?\nAnswer: -3*r**3 - 15*r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-451)\/77 + 8 + (-1)\/7. Solve 3*m - y*m = 4*g - 4, 5 = m + 5*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -59*w**5 + 3*w**4 - 3*w**3 - 43*w**2. Let n(u) = -u**5 - u**4 + u**3 - u**2. Let i(m) = -6*n(m) - 2*z(m). Find the third derivative of i(r) wrt r.\nAnswer: 7440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1034*f**3*q**3 - 182*f**3*q + f**2*q + 2*q wrt q.\nAnswer: 6204*f**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.10202 - -5.1. What is a rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195281400 to the nearest one hundred thousand.\nAnswer: -195300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*d - d. Let a(l) = l**2 - 7*l - 9. Let f be a(d). What is the units digit of (0 - -4) + (-1)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2. Give w(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(5\/4))\/n**(2\/21)*n\/((n**(-1\/7)*n)\/n)*n**(-3) assuming n is positive.\nAnswer: n**(25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j + 5*z = 610, -5*z + 145 = j. Let a = j - 150. Solve 20 = v + 3*v - 5*x, a*x = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30\/20 - 94\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 24*k + 278. Determine o(18).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44482 - 7928 = 2320*n - 5206 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34445959433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 120074860 and -25.3.\nAnswer: 120074834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -0.84 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -1308, -4475, -10666, -20895, -36176, -57523, -85950?\nAnswer: -122471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -420 (b) -0.12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*a + 1440, z + 145 - 1585 = 5*a. Let d = 289 + a. Is d < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159.591 - 158.8. Let i = j - 0.71. What is i rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23ee5 + 5?\nAnswer: -23ee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -3.3. What is the nearest to 5 in b, -0.1, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, 58, 152, 290, 472, 698, 968?\n\"Answer: 22*r**2 - 16*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(5\/7)\/l))**(-11) assuming l is positive.\nAnswer: l**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3300\/9504 + 2\/(-16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 536905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -94.000212. Round k to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 41. Let k be -1 + (-1 - (a + -2)\/(-3)). Suppose k*l - 371 = 49. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0199 - 6.0199. Which is the smallest value? (a) -2\/3 (b) -3\/2 (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -39*v - 1. What are the prime factors of u(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (128\/(-35) - -2). Let v = z + -1\/5. Let l = 24412.5 - 24412. What is the fourth biggest value in l, -2, 0.1, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 3*s + 156 - 226 = -118, 5*j = 3*s - 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364780050 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: Suppose 7*w - 120 = 3*w + 16*w. Let t(d) = 4*d - 1. Let v be t(-1). What are the prime factors of 2 + v + 2 + (11 - w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -240*g - 84. Let p(u) = -91*u - 32. Let v(t) = -8*o(t) + 21*p(t). Suppose 4*x = -0 + 4. Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 636*o - 27. Let m be j(-5). Let s = 5840 + m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1268 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (4 + (-30)\/5). Let x(o) = 248*o - 43. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 12 - 4 - (2 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n - 0*n + 2*l, 3*l + 6 = 4*n. Let m(t) = t**2 - 2*t - 1. Let d be m(n). Solve -3*f + d*x = 5, x - 4 = 2*f - x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-4) - 8\/(-32). Suppose -4*b = -12, -7 = v*q + 3*b - 8*b. Solve -2*n + 4*s - 23 = 5, -q*n - 5*s + 9 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52808603*0.4.\nAnswer: 21123441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.3. Let b = -25.46 + -0.54. Let s = b + 25.8. What is the closest to s in -5, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.969 + -0.731. Let o = -44.2307 - k. Let z = 0.46 - o. Round z to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1252\/7, -482?\nAnswer: -1252\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -762 divided by -6337\nAnswer: 762\/6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -76*l - 376. Let q be z(-5). Solve 0 = -0*k + q*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o + 24. Is 20 a factor of t(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.4961442 take away 13.067?\nAnswer: 341.4291442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 5*c, c = -l - 4*l + 4. Let r be (-4 + c)\/((-6)\/(-3)). Let j(x) = -x**3 - 2*x + 163. Is j(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 8. What is the units digit of c\/(-24)*51*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308571.\nAnswer: 3, 73, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 5. Let m be u(-6). Suppose -7 = -4*k + m. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/5, -3\/2, 7, -396, -1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.9, -1, -4 in increasing order.\nAnswer: -4, -1, 14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = -3*f - 21, 3*n - 4*f = 41. Let o(c) = c**3 - 7*c**2 + c + 4. What is o(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, 73.4, -1\/42?\nAnswer: 73.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eet when three letters picked without replacement from ktketetktkktkkktkktk?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25516 or -25508?\nAnswer: -25516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 12 = -60. Find h, given that -19*h**2 + 58*h**2 - 19*h**2 + o*h - 19*h**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882 + 892)*((-2)\/(-3) + (-902)\/660)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvm when four letters picked without replacement from vvxvxxvxxxvmmooxmxxx.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -829 - -834 - (4 - 2 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 392 - 308. Suppose -2*r + w = 2*k, k - 3*k - r + 49 = 0. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*s + 1 = 2*i, -5*i - 15 = 5*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Let c be 1*(-36)\/10 + (-2)\/5. Let m be (-38 - 4)*2\/c. Let b(r) = m + 34*r**2 + 17*r**2 - 21. Calculate l(b(x)).\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + b1?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-54)*((-6)\/(-10))\/3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 12*v + 8. What are the prime factors of -2*(3 + v)*10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14457*p + 14452*p + 6 = -2*k, k - 35 = -7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-3))\/((-2)\/6). Let x(q) = q**2 - q + 5. List the prime factors of x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*b**3 + 515*b**2 + 565*b - 75.\nAnswer: -5*(b - 5)*(b + 1)*(25*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b16 - -5?\nAnswer: -11b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123200)\/(-100320)*6\/(-10).\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279.0462 + -0.0462. Let s = 279.000169 - j. What is s rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 13. Do 3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8247 is divided by 2691.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = -42*t - 5. Let x(b) = 11*b. Let i(k) = -k. Determine t*i(s) - x(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -12*d**3\/17 + 278*d**2\/17 - 1558*d\/17 + 252\/17 = 0.\nAnswer: 1\/6, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915 + 4*n + 204 + 303 + 199 + 209 + 5*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -40 in increasing order.\nAnswer: -40, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -250106, -4 in descending order.\nAnswer: 19, 0, -4, -250106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157257066 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768165 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2, 4 = -2*d + 3*p - 1. Suppose k = -2*n + 5, 2*k = -4*n + n + 5. Put d, n, 16 in ascending order.\nAnswer: d, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -3\/8, -0.1, 1388, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -14. Suppose -5 = -3*w - 2*y + 2, 5*w - 10 = -5*y. Suppose 8*m = w*m + 40. Calculate the greatest common factor of m and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 378625383.00833 + -378623604. Let t = v - 1779. What is t rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/9)*c)**(-4\/19)*(c*c**1)**(-15) assuming c is positive.\nAnswer: c**(-5194\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55689 * -456.\nAnswer: 25394184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.1 + 64.5. Let q = -2 - -2.1. Let m = -2 - -3. Which is the third smallest value? (a) u (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300.7 - 301. Sort f, -20, -1.1, 5.\nAnswer: -20, -1.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p**2 - 4*p**3 - 13*p**2 + 7 - 10 to b + x*p**2 + o*p + w*p**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/480 and -191\/106680.\nAnswer: 426720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 39\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 18*p**2 + 23*p - 57. What is the remainder when 178 is divided by d(17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*j**3 - 4*j*t - 42*j + 662*t - 17 wrt j?\nAnswer: -60*j**2 - 4*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 130*x + 4225.\nAnswer: (x + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 510188884*d**2*q + 77*d**2 - 1773281 wrt q.\nAnswer: 510188884*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m - 10*m + 16*m - 16*m in the form i + w*m and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341223 and 1604067?\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 5\/2, -0.3, 10, 3 in decreasing order.\nAnswer: 10, 3, 5\/2, 0.15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 12*l + 96. Suppose 20*i = 13*i + 224. Is i less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1425 by 475.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1245 < -1244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2009\/(-196))\/(2\/(-8)). Let o = 41 - q. Determine n, given that 2\/9*n + o - 2\/9*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 29*l**2 - 53*l - 33. Calculate m(-27).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111 times -1.19722?\nAnswer: 0.13289142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355144450, 710288902, 1065433354, 1420577806?\nAnswer: 1775722258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (23\/(-69))\/(655\/(-327) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*i - 2069, 12*g - 816 = -2*i + 7*g. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 8*q**3 + 104. Let y(b) = b. Give p(y(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 37 = -2*q, 98 = 5*q + 2*p. Calculate the lowest common multiple of q and (11\/1 - -1) + 4 + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -204, -201, -196, -189, -180?\n\"Answer: c**2 - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, 31 in descending order.\nAnswer: 73, 31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 169. Let k be x(-41). Let w be 3*(0 + (-4)\/(-114)). Let o = 161\/6 - 1759\/66. What is the biggest value in k, w, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85\/4 of a decade?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1 + -6.09922. Round g to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 961.8379kg?\nAnswer: 961837.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 5. Let i be c(-3). What is the first derivative of k**2 + 0 + i - 5 + 2 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 + 23332.\nAnswer: 23370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4\/4 - 687*o**3\/4 + 6009*o**2\/4 - 15225*o\/4 + 2475 = 0. What is o?\nAnswer: 1, 3, 5, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14178.17us?\nAnswer: 0.01417817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10929 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*((sqrt(252) - (-5 + 0 + sqrt(252))) + sqrt(252) + sqrt(252))*1)**2.\nAnswer: 720*sqrt(7) + 9172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {n: 1, a: 4, t: 1, d: 7, i: 2, h: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/12)\/(21\/9*-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08737 and 419202211.8.\nAnswer: 419202211.88737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 9*w - 15. Let m = -300 + 294. What is the remainder when d(m) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 2*y**2 - 2*y - 22. What is the thousands digit of i(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8804663 - a**2 + 16*a**2 + 8804663.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.910744 nanoseconds in milliseconds?\nAnswer: 0.000004910744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.5291 + 3.7847577?\nAnswer: -18.7443423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53910867.\nAnswer: 3, 17970289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1625, -6467, -14535, -25829?\nAnswer: -40349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599416 divided by -8.\nAnswer: -74927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 12) to base 11\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8910*r**2 - 28*r + 3. Let d(o) = -4448*o**2 - 12*o + 1. Give 7*d(z) - 3*j(z).\nAnswer: -4406*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*n - 52 = -s, 0 = -s + 2*n + 64. Let y = s - 27. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 9.8. What is the second smallest value in -3\/5, -5, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/9)\/((-3)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let a(p) be the first derivative of -2*p**2 - 6. Determine -2*a(t) + 5*u(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -29*t**2 - 10*t - 3. Let v(p) = -2*p - 1. Let x(f) = -u(f) + 5*v(f). Let a(k) = 5*k**2. Calculate x(a(o)).\nAnswer: 725*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 417147 - 834894 + 417787.\nAnswer: -4*b + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146121\/9 + (-8)\/12. Suppose -l + i = -14006. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**2 - 5*m - 9. Let j(l) = -24*l**2 + 7*l + 14. Let v(q) = -5*j(q) - 7*u(q). Find the first derivative of v(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.077001 + 227.4.\nAnswer: 227.477001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 4*n - 24, n + 33 = 3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1100131420244?\nAnswer: 1100131420310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*36\/81?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -52*j**6\/3 + j**2 + 5*j - 63. What is the second derivative of t(m) wrt m?\nAnswer: -2080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31787 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 44. Suppose -i + k = 7. Factor 1\/2*w**5 - w**4 + 0*w**2 + 0*w + 0 + 1\/2*w**i.\nAnswer: w**3*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.004 - -6.156. Round v to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/1025943 and 58\/47768907?\nAnswer: 1958525187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 7, z: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 10 = 31 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23*-312.5\nAnswer: -7187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - 52\/(-20). Find the third derivative of 0*n**2 - 16*n**3 + 19*n**u + 4*n**2 wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by -74399?\nAnswer: -100\/74399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 234*s + 7492. What is y(-30)?\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141663313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -204*i + 1717 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*n**2 + 169384*n - 169384*n.\nAnswer: -786*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/22 and 63\/546063356.\nAnswer: 6006696916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/((-70)\/(-14)) + 9. Which is the nearest to 1\/7? (a) 1\/3 (b) 6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 84 in ascending order.\nAnswer: -3, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 62*x + 1082 - 352 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ecb - -3d6?\nAnswer: 13b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*x**(2\/3)*x**(-1\/9)\/((x**(-1\/3)\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154236751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**7\/7560 + z**6\/270 + z**5\/30 - 37*z**4\/4 + 30*z. Let s(n) be the third derivative of f(n). Factor s(y).\nAnswer: (y + 2)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -0.35. What is the third smallest value in 7, -1, w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*q + 6. Let s(v) = -9*v**2 - 4 - 7*v - 22*v**2 + 30*v**2. Let x be s(-6). Put 6, q, 5, x in ascending order.\nAnswer: x, q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302108 times 0.2\nAnswer: 60421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4055732, -4055736, -4055740?\nAnswer: -4055744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*b**5 + 209*b**4 - 4*b**3.\nAnswer: -b**3*(b - 4)*(52*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2056 and 2056 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 25. Let l(s) = 6*s + 2. Let y(t) = -10*t - 3. Let n(z) = 6*l(z) + 4*y(z). Calculate n(u(o)).\nAnswer: -4*o - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -407 * -1307\nAnswer: 531949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12 + (-6)\/(-9). Suppose y = 5*l - 11, 5 + q = 4*y - 3*l. Let h(r) = r**2 + 2*r + 2. Let a be h(-2). Solve -a + 18 = -y*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1458))\/sqrt(9).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 4 - 6)*(0 - 4 + 5) + 0 + 0 + 2 - 3 + 2 - 4)*(-1513*r**2 - 1483*r**2 + 2*r + 1318*r**2) to the form a*r**2 + j*r + i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 128*c**3 + 568*c**2 - 768*c + 324.\nAnswer: 4*(c - 27)*(c - 3)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -21 - (-7 - (-2 - (17 - 7)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -120, -347, -792, -1527, -2624, -4155?\nAnswer: -6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9621770 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2 - 5*w**3 + 6*w**2 - 1 + 8*w - 6 + 4*w**3. Let h(n) = -n**2 - 10*n - 2. Let m be h(-9). Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(-1\/10)*r)\/r)\/r)\/r*r)**(3\/11) assuming r is positive.\nAnswer: r**(-3\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**5 + 1586*q**6 - 6979*q**2 - 318*q**2 + 1601*q**2 wrt q?\nAnswer: 190320*q**3 - 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*b - 72 = 0, m + 4*b = b - 72. Calculate the common denominator of (m\/(-28))\/(4\/21) and -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 50, -2\/3, 0.1, 2\/7 in increasing order.\nAnswer: -6\/5, -2\/3, 0.1, 2\/7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6405646 to the power of 1\/2, to the nearest integer?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * 48.12.\nAnswer: -5630.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 72*i - 675. Calculate j(-43).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let p be r(3). Which is the fourth biggest value? (a) 1\/3 (b) -15 (c) p (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 12. Let o be h(8). Let x be (-6)\/o*16\/12. Solve -3*s - 6 = -s, -x*c + s - 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 53376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, z: 9, w: 4, b: 1, s: 4}. Give prob of picking 1 s and 2 z.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 20332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225\/11618 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9756.95 litres?\nAnswer: 9756950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -357, -546, -753, -984?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 5*u**3 - 5 + 7*u**3 + 2*u**3 - u**3 - 4*u**3 + (-u**2 - u**2 + u**2)*(-u + 1 - 1) + 4 - 2*u**3 - 4.\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m**2 - 28 + 192*m**2 - 64*m**2 - 65*m**2 - 6.\nAnswer: -m**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**3 + 2*u**2 - 5*u. Let j(s) be the third derivative of s**6\/30 - s**5\/60 + s**4\/12 - 15*s**2. Determine 5*j(f) + 2*x(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 305*x - 226*x - 1543 = -3*n, -5 = -2*n + 3*x - 16 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222634 is divided by 1065?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*d - 10, -m - 2*d + 46 = 4*m. Suppose -2*z = 8, f = -5*z - m - 6. Suppose 5*a = 20, 64 = f*j - 2*j + a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 109. Let f be x(27). Let r be 4\/6*-1*(-30)\/10. Put -5, f, -2, r in descending order.\nAnswer: r, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z. Suppose -v = -z*v. Put v, 1, -1 in increasing order.\nAnswer: -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-5))\/((-16)\/7640)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + f + 30 = 0, 4*r - 4*f - 8 = 5*r. Let c be ((-49)\/28)\/(2\/r). Let o be (-617)\/(-4) + (-1)\/4. Calculate the highest common divisor of c and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -10, -68, 1\/3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b**4 + 7*b**4 + (-3*b + 2*b + 2*b)*(-3 + 2*b**3 + 3) + 0*b**4 + 3*b**4 - 5*b**4 + (0*b + 3*b - 4*b)*(2*b**3 - 4*b**3 + 4*b**3).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25423*r**4 + 52764*r wrt r.\nAnswer: 305076*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 2:54 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 0.53. Let t = y + -0.72. Let p = 1.02 - 0.02. Which is the nearest to p? (a) 0.2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 13269 = -213269. What is h rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 76. What are the prime factors of 4*a - (-42 - -42)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41153 - 35032?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2327471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7464 and 17628.\nAnswer: 10964616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23555 (base 7) to base 3\nAnswer: 22101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -902?\nAnswer: -91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2. Let p(q) = 3*q**3 - 20*q - 8. Let d be (2 - 7 - 3) + 2. Let x = 2 + -3. Let r(n) = d*o(n) + x*p(n). Solve r(i) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -299338.\nAnswer: -5\/299338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -35*f**2. Let c(x) be the second derivative of -7*x**3\/6 + 2*x - 30. Give o(c(d)).\nAnswer: -1715*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 505 and 2775?\nAnswer: 280275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 15 = 3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6)*(-4)\/(-10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6090, 12182, 18276, 24372?\n\"Answer: s**2 + 6089*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-54)\/(-4)*24\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - -335467)\/6)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 259*h**4 - 3*h**3 - 3*h**2 - 452. Let q(y) = 778*y**4 - 10*y**3 - 10*y**2 - 1354. Let o(t) = 10*k(t) - 3*q(t). Differentiate o(z) wrt z.\nAnswer: 1024*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708204 and 6252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47734170.4 to the nearest one hundred thousand.\nAnswer: 47700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y - 7 = 3*t, -16 = 2*y + 4*t. Let j be (1\/1 - 0)*2. Find the third derivative of y - 2 + a**j - 2*a**4 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*d - 3*x, -3*d - 2*d = 3*x - 62. Suppose -i = -3*i + d. Suppose 4*o - i*m - 456 - 1149 = 0, 4*m + 804 = 2*o. Round o to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2.9, 2, -1, 181, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-108) + (-1)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + 210\/63. Let y(w) be the second derivative of -1\/4*w**m + 5*w + 1\/8*w**4 + 0 - 3\/4*w**2 + 3\/40*w**5. Factor y(r).\nAnswer: 3*(r - 1)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1320 or -1321?\nAnswer: -1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -1679\/122?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*k + 5*h, -3*k - 3*h - 38 = -14. Let w(v) = -v. Let a(q) = -q**2 - 13*q + 2. Let u(m) = a(m) - 5*w(m). What are the prime factors of u(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052378 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/71 - (47 - 46)\/(7\/(-8) + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aappmmomm. Give prob of picking 1 o and 2 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-6*-1*sqrt(77))\/(sqrt(35)\/sqrt(5)*1 + sqrt(7) + sqrt(7)) + -4)**2 + -4 + 3.\nAnswer: -64*sqrt(11) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679 and 2901367.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 15*g = -3*d + 5, 2*d = -5*g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -16*f - 117. Let n(x) = -x**3 - 8*x**2 + 7*x - 13. What is n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2107.15 and -721.\nAnswer: -1519255.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*o = o + 9, -4*u - 18 = -2*o. Let z = -8.7 - -8.62. What is the nearest to -0.1 in z, 1, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1144 and 67\/100871342?\nAnswer: 403485368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12806 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40 - 2 - (-9 - -13). Suppose -10 = -5*j + 2*n, -d + 10 = -j - 4*n. What is the least common multiple of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72, -61, -50, -39?\n\"Answer: 11*d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:24 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - o**2 - o - 2. List the prime factors of n(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.63 and -4.\nAnswer: 106.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfrs when four letters picked without replacement from {f: 1, m: 2, r: 1, c: 3, s: 6, j: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 j when four letters picked without replacement from jjajaajjjja.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-28)\/5 - 15\/(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Let u(y) = 3*y**2 - 4*y - 12. Let n be u(-3). Let i = 34 - n. Solve 3*x + 2 = -4*s + q, -i = -3*s - 5*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102222012022 - 11?\nAnswer: 1102222012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-12))\/(-9)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 44*t**4 - 2*t**2 + 3*t**2 - t**2 + 5*t**2 - 43*t**4 - 4*t as m + l*t**3 + i*t**4 + r*t + z*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1799*h**3 - 85*h - h**2 + 977*h**3 + 825*h**3 as m*h + s*h**2 + y*h**3 + u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqj when three letters picked without replacement from {j: 4, d: 2, q: 7}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -48*c + 3940. Calculate n(84).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 827213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 501\/11 or 47?\nAnswer: 501\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 439258948 divided by 109814737\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 363101 (base 7) to base 13\nAnswer: 23cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 10*g - 1. Let v be -10 + (-1 - 2 - -4). Let a be n(v). Let x(w) = w - 10. Calculate x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956*n + 12 = -948*n - 12. What is the second biggest value in -0.2, 30, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 555 + 117 = 0. Suppose 5*r - 2141 = t. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 3*q**6\/10 + q**5\/20 + 7*q**3\/6 + 2*q**2 - q - 47. Find the second derivative of p(x) wrt x.\nAnswer: 108*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 37\/2000494?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 7 = -2*x + 25*s, x + 5*s = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let m = 25 + -20. Let g be (-8)\/(-112) + (-513)\/126. Let d(j) = -2*j**2. What is g*v(w) + m*d(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1328690 divided by 6\nAnswer: -664345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 29 + 39. Let m be 8\/20 + h\/5. Calculate the greatest common divisor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 1 = -10*o. Let j(n) = -n + 2. Let d be j(6). What is the least common multiple of 4 and (o - d)\/((-9)\/(-30))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1439249 rounded to three decimal places?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 75) + -41 + -4 + (45 - -10).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491.3 - 464. Let l = w + -27. Let i = 7 - 11. Which is the third biggest value? (a) l (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 3)*(-3 + 0 + 0)*(2*y - 4 - 4*y + 3) to i*y + o and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13 + 48*k**2 - 19*k**2 - 12*k - 19*k**2 + k**3. Give u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 + 9*k. Let q be w(-6). Let r be (-8)\/(-18) + (-1812)\/q. Calculate the highest common factor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0 - -2) + -4)*-1. Suppose -13*z - 4*u = -15*z + 8, 0 = 3*u. Find h, given that h**3 - 1\/2*h + 0 - 1\/2*h**5 + 0*h**c + 0*h**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 54*s + 246. Let l(a) = -a + 5. Let b(w) = -h(w) + 18*l(w). Factor b(c).\nAnswer: 3*(c - 26)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.706 + 0.054. Let b = m + -6.76. Let l be (6\/16)\/((-4)\/(-8)). What is the fourth smallest value in -1\/2, b, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = 2*m, -4*g - 5*m = -8 - 6. Let y be 0 - ((-30)\/(-525))\/(g\/(-5)). Which is the second smallest value? (a) y (b) 4 (c) -3\/7 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g - 3. Let v be n(1). Solve -2*o = -3*k - 16, -v*k = -5*k - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 + 4*p + 15. Let t be (-88)\/(-15) - 2\/(-15). Let s be b(t). Is (-2148)\/(-36) - (-1)\/s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 41*v - 6*v + 6 - 46*v.\nAnswer: -93*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)**(-8)*g**2\/g*(g*g**(-9)*g*g*g)\/g)**(-30\/13) assuming g is positive.\nAnswer: g**(870\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/2 - (-7 + 5). Suppose -5*a + 9 = 5*m + r, -2*a - 3*m = 2. Is (-31)\/(-2)*(-1 - a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 7)*(g - 2*g + 2*g) + (-2 + 0 + 1)*(5 + 2*g - 5) to the form s*g + d and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = -91 + 21. Let v(x) be the first derivative of -4\/5*x**5 + 0*x**4 - 8 - 6*x**z + 0*x**3 + 0*x. Find the second derivative of v(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r = -72*r + 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x)**(-3\/37)*(x**6\/x*x)\/x*x\/((x*x\/(x**(-1\/13)*x))\/x)*((x*x*x**(1\/4)*x)**9)**(3\/40) assuming x is positive.\nAnswer: x**(612191\/76960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.28559 meters in centimeters?\nAnswer: 628.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptdptpydtppdy. Give prob of picking 2 d and 1 p.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3447 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let u(i) = -122*i - 7*i**2 + 122*i. Give u(f(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 3. Let k = 1.8 + r. Suppose -4*y = -5*y + 4. Put k, y, -4 in ascending order.\nAnswer: -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902155690 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2120604, -4241210, -6361816, -8482422, -10603028?\n\"Answer: -2120606*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 1. Let q(k) = -3*k - 2. Suppose u + 10*u = -77. Let m(h) = u*p(h) - 6*q(h). Suppose 4*j = -5*v - 1, -23 - 14 = -2*j + 5*v. Determine m(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 55713878399?\nAnswer: 55713878398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2413*b + 2407*b + 2383*b - 7216*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -32730.29?\nAnswer: 130921.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028 greater than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -907*g**3 - g**2 - 2*g - 6925 wrt g.\nAnswer: -2721*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*r - 178*r - 340*r + 875*r - 179*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 + 2*g**2 + 5*g - 6. Let p(c) = -9*c**3 - 3*c**2 - 11*c + 13. What is 6*p(o) + 13*q(o)?\nAnswer: -2*o**3 + 8*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 284 = -2*l + 4*n, 5*l - 4*n = 353. Suppose 5*s - l = 2*q, 3*s + 3*q = -q + 57. Let o be (-4)\/22 - s\/(-22). Sort -0.3, 5, o in increasing order.\nAnswer: -0.3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) 0.03 (c) -0.07 (d) 0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358.2 + -358.4069. What is x rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010000 (base 2) to base 14\nAnswer: 29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*s - 8, -12 = -0*n - n + 2*s. Let g be (n - 9\/6)*962. Suppose -4*c = -5*r + g, 4*r + 0*c + 5*c = 393. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/5, 1, 177, 66\/7, 0?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k*k)**26*((k*k*k**1*k)\/k)**(2\/21) assuming k is positive.\nAnswer: k**(916\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1018610, -1018799, -1019102, -1019513, -1020026, -1020635, -1021334, -1022117?\n\"Answer: v**3 - 63*v**2 - 7*v - 1018541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/h)\/h)**(6\/7)\/(h\/h**(-7)*h**(-2\/11))*(h**4\/h)\/(h**(-2\/5)*h)*(h**(-1)\/h)\/(h**(-2\/7)\/h) assuming h is positive.\nAnswer: h**(-3681\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vffvvvv. What is prob of sequence vvv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/4, -330, 33, 12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78270799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51482 - 0.01.\nAnswer: 51481.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13137 and 522?\nAnswer: 78822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -110 + 1 - (27 + (-25 - -7) + 2)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 3832733?\nAnswer: -3832735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18660 divided by 5\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*o - 5*s, 0 = -5*o + 3*s - 5*s. Let f(w) = -w. Let n(d) = 2*d**2 - 2. Let j(t) = o*f(t) + n(t). Let q = 32 - 30. Calculate j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5 = -25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 4*b - b)*(733 + 858 - 1508) to the form g + p*b and give p.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 29*o**2 + 15*o - 15*o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 44. Solve -42 = d - i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21649134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 + 22*k + 36*k**2 + 36*k**2 + 0*k + 12*k**2 - 99*k**2.\nAnswer: -k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 2*v - 163 + 29 = 0, -5*v = -3*m + 59 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172477 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 94779 = -4*v, 4*v = -5*p + 47577 + 110388. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9446 is divided by 175.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t + 13*t + 9*t + t**2 + 6*t**3 - 2*t**4 to v*t**2 + o*t + c + j*t**3 + m*t**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/2 - 3*g**4\/2 - 74*g**3 - 424*g**2 - 864*g - 512.\nAnswer: (g - 16)*(g + 1)*(g + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23529963397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*v**2 + 1332*v - 980*v - 19*v**2 - 1 + 2 - 4 + 2*v**3 wrt v.\nAnswer: 12*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 28 = -r. Let a be 5\/(-7) + r + 120\/(-28). Let n(t) = -2*t - 4. Let m be (-20)\/(-3) + 2\/(-3). Let b(x) = -1. Determine a*n(u) + m*b(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 8*c**2 - 6*c + 14. Suppose 31 = 5*a - r - 2*r, 2*a - r = 12. Let i(b) = -b**3 - 5*b**2 - 4*b + 9. What is a*z(h) - 8*i(h)?\nAnswer: -2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*g**5 - g**2 + 16*g?\nAnswer: 12360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 13*m**2 + 25*m + 6. Let g(n) = n**3 - 11*n**2 - 24*n - 5. Determine 7*g(f) + 6*t(f).\nAnswer: f**3 + f**2 - 18*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*a - 39*a + 1080. Suppose 0 = -6*s + 12*s - a. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 1312843818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0044, 39, 1\/7.\nAnswer: -0.0044, 1\/7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 532*n**3 + 4*n**2 - 5152*n - 4. Let l(b) = -532*b**3 - 3*b**2 + 5158*b + 3. Let m(x) = 4*k(x) + 5*l(x). What is the second derivative of m(h) wrt h?\nAnswer: -3192*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 584, 580, 576, 572, 568?\n\"Answer: -4*u + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/68)\/((-14)\/16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1852 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*f - 55, -2*f - h + 6 = -1. Suppose -5371 = -f*g + 143. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.019436 or 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b + 80 = 0. Let l = 20 + b. Suppose -y = -3*i + 107, 0*i = l*i + 4*y - 116. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 357382792, 357382789, 357382786, 357382783, 357382780, 357382777?\n\"Answer: -3*y + 357382795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-151519)\/2 + 31\/(-62). Is (1\/((-4)\/6))\/(24\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 1\/100 (c) -3 (d) 9 (e) -1 (f) -2\/23 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23253 (b) -0.2 (c) 0.03 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 11}. What is prob of sequence mq?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26\/31 + -1450\/1581. Let k = v - 56\/153. Which is the second biggest value? (a) 0 (b) k (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 7*v - 12 = 0. What is v?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -131*w + 4703 + 709 + 5710 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 4. Let g be 70\/(-15) + (-4)\/(-6). What are the prime factors of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.0889 rounded to zero decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -3, -2, -5, -0.4, -1276?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095137 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 0*k - 4*k + (2 + 1 - 4)*(-37 - 11*k + 37).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 12*d - 27. Let y be v(-7). Factor y*h**3 - 27*h**2 + 4*h + 73*h**2 - 16*h.\nAnswer: 2*h*(h + 6)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35332, 2, 3, 1 in descending order.\nAnswer: 35332, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1421 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -22 - -3) + -3 - 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 3*c**4 - 17*c**3 - 9*c**2 + 16*c + 12 = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6 = 6*t. Suppose -4*h = -q - 5, -h + t*q + 5 = 2*q. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 12. Sort u, 5, 0, -3 in decreasing order.\nAnswer: 5, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 22*n - 20, 3*r - 3*n = -21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -583 - -588. Suppose 4*g - 5*c = 6, 9*g + c - 18 = l*g. Sort 3, g, -5.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149612 and 16?\nAnswer: 598448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 3. Suppose -f*o + 3*z = 0, 5*o - 2*z + 6 = -0*z. What is the nearest to 2 in o, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10179 = -36*q + 23*q. Let b = -7723\/10 - q. What is the common denominator of b and 4\/47?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-84)*((-1 - 1) + -1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -f + 34, j - 44 = -f - 3*j. Let p(q) = -104 + 162 + 190 + 109 - 5 + 20*q. What is the remainder when p(-13) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477207.\nAnswer: 3, 17, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q**(-2\/15)*q**(-8\/5)\/(q*(q\/(q**(-1\/2)\/q*q))\/q*q))**(-3\/5) assuming q is positive.\nAnswer: q**(-23\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -3\/4*t**4 + 18*t + 6*t**2 + 0*t**3 + 0. Find the first derivative of d(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2857163 (base 9) in base 15?\nAnswer: -211280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -75*c + 88*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -4*y + 67\/2*y**2 - 1. Let z be n(-8). What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/45)\/((-480)\/((-304)\/19))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -55. Suppose 5*k = 4*q - 13, 5*k = -z*q - 0*k - 1. Solve 0 = q*g - 6, 0 = 2*b + 3*b - 2*g + 26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 212\/9 and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - -7?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/3 + 704*i = 0.\nAnswer: 0, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r + 18 - 10 - 10 as y + w*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 701294937 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 + 0.4. Which is smaller: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**4 + u**3 - 2*u - 1. Let t(j) = 75*j**4 + 8*j**3 - 28*j - 8. Let z(n) = -6*c(n) + t(n). Find the second derivative of z(w) wrt w.\nAnswer: 756*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/(-18)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 11)\/(2 - 6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r**2 - 3*r)*(-6 - 2 + 3)*((-4 + 5 + 1)*(r + 0 + 0) + 5*r + 53 - 53).\nAnswer: 35*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1337*r + 3440. Give y(1).\nAnswer: 2103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**2 - 41*h**2 + 17*h**2 + 0*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 106, 2143 in increasing order.\nAnswer: 42, 106, 2143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x - 1. Let h(q) = -5*q**3 - q**2 + 5*q - 2. Let g(j) = -h(j) + 2*m(j). What is g(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 + 12 = 0. Let f = 5320 + -5306. Solve 5 = -o*n + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*a**2 + 190*a**2 - 390*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1 + (-2 - -2). Let x be 4\/18 + (-28)\/(-36). Let i(t) = 2*t**2 + 5 - x - 2*t - 5 - 4*t**2. Let v(k) = k. Calculate y*i(g) - 2*v(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f - 2*f)*(-f**3 + 0*f**2 + 0*f**2) + (-5*f**3 + 5*f**3 - 2*f**5)*(2 + 5 - 5).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/7)*u*u)\/(u*u**(-4\/5)\/u))**(16\/5) assuming u is positive.\nAnswer: u**(1728\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/720 - i**5\/8 - i**4\/6 - 62*i**2. Let m(r) be the second derivative of n(r). Calculate m(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36025820.\nAnswer: 2, 5, 23, 78317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three halves of a hour?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + 54*k - 71. Calculate h(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85955 divided by 4?\nAnswer: 85955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7938 + 3779. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/120 - j**5\/30 - j**4\/8 + 2*j**3\/3 + 2*j**2. Let n be z(3). Solve -n = -3*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167)\/((-57281)\/392) - (-729)\/(-105)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 + r + 2. Let b be t(-3). Let c = 1217 + -1213. Sort -5, b, -1, c in decreasing order.\nAnswer: b, c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/5 + 234*u**3\/5 + 483*u**2\/5 - 234*u\/5 - 96 = 0. Calculate u.\nAnswer: -2, -1, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**4 - 4331*s**3 + 36*s**2 + 171*s.\nAnswer: 120*s - 25986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4277647449 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1287 divided by 57\nAnswer: -429\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 23676 = 2*q, -11*q + 9*q + 3951 = r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m + 67. Let q be v(5). Let a = q + 88. Find the second derivative of 203 - a + 9*u - 43*u**3 - 104 wrt u.\nAnswer: -258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-939)\/6)\/(15 + (-279)\/18) and 8.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -4*c - 4*c. Solve c*s - 3*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 658 divide 537895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 9}. What is prob of picking 3 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 4) + 17 + 1 + -52 + 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(2448)) + 4 - 3*(-1 + -1 + sqrt(272)).\nAnswer: 4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-1155)\/12)*30\/(-4)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 1. Let d(y) = -7*y - 4. Let k = -5286 + 5284. Give k*d(v) + 9*c(v).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -531\/190 + 29\/10. What is the third biggest value in -4, h, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3287934*x**5 + x**3 - 5*x**2 + 471731 wrt x.\nAnswer: 197276040*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(90)\/sqrt(225)) - sqrt(20)\/(sqrt(48)\/sqrt(3)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 3*u)*(0*u**3 - 15*u**2 + 16*u**2 + 4*u + u**3).\nAnswer: u**4 + u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a75 + -1d?\nAnswer: 1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*i**4\/5 + 324*i**3\/5 + 72*i**2 + 124*i\/5 + 14\/5.\nAnswer: -2*(i - 7)*(3*i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39133 - ((-4)\/(-10))\/((-4)\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-1 + 5 - (8 - 10)) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-2)*(-48)\/15. Suppose -4*b = 3*o + 26 + 14, -o + 4*b = q. Calculate the common denominator of 31\/6 and (-68)\/o + -5 + 8\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - -15) - (1 + 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116134321459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -65258.\nAnswer: -12\/32629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 41. Let z(d) = -3*d - 2. Let u(x) be the second derivative of 8*x**3\/3 + 11*x**2\/2 + x. Determine f*z(k) - 4*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-7)\/2 - -1). Let j = -261.1 - -261. Which is the smallest value? (a) -0.4 (b) u (c) 0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4\/5, -2\/9, -2, 2\/5, 5.89 in descending order.\nAnswer: 5.89, 4\/5, 2\/5, -1\/5, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 2*i**2 - 2*i**2 + 8*i**2. Let d be 9\/3 + (-6 - -3). Let a(b) = d*b**2 + 0*b**2 + 2*b**2. Calculate a(u(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -29.044. What is c rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + 2\/(-4). Let q(n) = -n - 4. Let w be q(-8). Suppose w = -u + 3*j + 13, 0 = 2*j - 2. Solve i + 2*i - u = y, i = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -661, -667, -677, -691, -709, -731?\n\"Answer: -2*r**2 - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(1617\/980))\/((-10)\/(-28))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1729846 = -4*p - 8485262. Let w be 1288281\/2*8\/6. Let o = w + p. What is o rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34356042 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3450936, -6901853, -10352770, -13803687, -17254604, -20705521?\n\"Answer: -3450917*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(15\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79977 and 2111997?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 = 16. Let i be u*-1 - 14\/(-5). Factor -i*g - 1\/5*g**2 - 4\/5.\nAnswer: -(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 30*p + 878. Determine l(48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**4 - 13*i**2 + 2*i + 1. Let s(b) = 10*b**4 - 2045*b**3 + 210185*b**2 - 208090*b - 5. Let f(u) = 5*d(u) + s(u). Factor f(m).\nAnswer: 5*m*(m - 204)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.92 - -0.28. Let y = 1.28 - g. Let k = y - 0.08. Which is the nearest to -1? (a) k (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = i - 6*i - 4*z, i - 4*z = 14. Solve 5*y - i = m + 2*m, -2*m - 4 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:49 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 4:13 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 0, 3*s + 2*s + 5*n = 20. Calculate the lowest common multiple of s and 6\/(-4)*28\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4536 divided by -567\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-6)*(7581\/(-38) - 6). Calculate the highest common factor of r and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168*h**2 - 168*h**2 + 2*h**4 + (5 - 8 + 6 + 4*h**3)*(-h - 1 + 1).\nAnswer: -2*h**4 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 20*u**2 - 363*u - 7008. Calculate s(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*k**2 - 11*k**3 + 136*k**2 + 7*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2\/13)))\/a)**(1\/7)\/((a*a\/((a\/a**(8\/5))\/a))\/a*a**(5\/3)) assuming a is positive.\nAnswer: a**(-5989\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12 = -g + 18, -4*c - 101 = -3*g. What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let b(v) = v**j + 11*v - 10*v - 2*v**2. Let c(h) = -2*h**2 + 3*h. Suppose -17*o + 8*o = -27. Determine o*b(i) - c(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 93407.\nAnswer: -28022.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -42. Suppose -13*f + 15*f - 60 = z. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 13, 1\/3, 3, 0.09997 in increasing order.\nAnswer: 0.09997, 2\/11, 1\/3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -17*r**3 + 49*r + 224. List the prime factors of x(-7).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36091 * 0.4\nAnswer: -14436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12)*2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1110000111111100000 (base 2) to base 4\nAnswer: 1300333200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0*b**2 + 2\/3*b**3 + 81*b - 1. Let r(j) = -3*j**2. Determine r(y(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*q**3 - 132*q**3 + 378*q**3.\nAnswer: 405*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -3*n + 5*w, 4*w - 7 = -n. Let f = 1 - -4. Let t = f + n. Solve -k = t, -5*k - 7 = 5*j - 2*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 458, 687, 916?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 14*b**2 + b + 19. Let h be (644\/(-115))\/(2\/5). Let n be l(h). Sort -5, 2, -2, n in increasing order.\nAnswer: -5, -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/8 - 2\/4. Let s = 0 + z. Suppose 58 + 0 = 2*c. What is the remainder when c is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3219788*d - 3219777. What is l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75.2 (b) 5 (c) 9594 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*y - 5946, 5*y + 30 = -3*b + 5984. Suppose 4*j = -b - 19222. Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 35*c**4 - 17*c**2 - 23*c. Let f(i) = 6*i**4 - 3*i**2 - 4*i. Let r(m) = -6*a(m) + 34*f(m). Find the second derivative of r(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/40*(-20)\/(-8) - 2*(-435)\/(-40).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4, -701*z + 696*z + 277*f = 277 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = -2*w. Suppose 4*i = -0*i - 20. What is the units digit of (-108)\/w + 2\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -41. Let s(r) = -g*r - r**2 - 20 + 19 + r**3 + 4*r**3. Give s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/478 and -127\/108?\nAnswer: 25812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(4840)*1 + sqrt(4840) - sqrt(4840))*6)\/(-4*(-3*sqrt(56)*-2)\/sqrt(7)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 2*t**2 + 5*t - 3. Let u(j) = 3*j**3 - 3*j**2 + 10*j - 5. Let f(v) = -5*c(v) + 2*u(v). Does 2 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 + 16*u - 9. Let q be f(-9). Let i = 8 + 1. Let x(g) = -g**2 + 9*g + 11. Let d be x(i). Solve d*s - q*s + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 3, g: 8, t: 1, f: 1, n: 2}. What is prob of picking 2 g and 1 v?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 2*x + 22. Determine r(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 10:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47136 divided by 1949\nAnswer: -47136\/1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**7\/840 - 3*c**4\/4 - 6*c. Let s(q) be the third derivative of x(q). What is the remainder when 58 is divided by s(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3584*f - 42914. Determine b(-12).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 71 = 106. Suppose 0 = 2*r - 5*r + 5*j + l, 2*j = 4*r - 60. Are r and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*u - 98 = 0, -t + 24*u - 136 = -2*t + 30*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1885\/9179 + 22\/137. Let k = m + -40\/603. Find the common denominator of k and 52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/26791 and -48\/964109.\nAnswer: 70379957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/3)\/h)\/h)**(4\/15))**(-22) assuming h is positive.\nAnswer: h**(352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j - 2 - 3 - 5*j**2 + 4*j**2 - 1 + 5. Give w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -2948.63?\nAnswer: 2949.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 3, y: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -62649792 divided by -414\nAnswer: 151328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p + 70 - 21*p - 67. Let z be i(-3). Let c = z + -54. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145509 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(1134\/5313)*(-76)\/(-209).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -191, -193?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 - (4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 1058*n**5\/7 - 7107460*n**4\/7 + 11957346360*n**3\/7 - 69416148400*n**2\/7 - 1763376640*n - 540611328\/7 = 0. Calculate n.\nAnswer: -2\/23, 6, 3356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 79*z - 4. Let k be w(1). Let s = 229 - k. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -37, 0.2, 5.74?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 185. Suppose -3*q + 125 = -0*x - x, -70 = -2*q - 2*x. What is the greatest common factor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -71.\nAnswer: 71.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(0*i + i + i) - i - i + 3*i + i - i + i - 2 - 14*i - i - 39*i.\nAnswer: -56*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/19 (b) -2 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from wywyywyywwwwwwyyyyw?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d53c (base 15) in base 9?\nAnswer: 67723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 608 or 6?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27734*s*t - s + 3*t - 21850 wrt s?\nAnswer: -27734*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 2. Let h be r(-2). Let d = -42 + 24. Let n = 23 + d. Put n, h, -7 in increasing order.\nAnswer: -7, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -8 (d) 1455 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -115?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217272.\nAnswer: 2, 3, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19896 times -0.44?\nAnswer: 8754.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -23*q**2 + 4*q + 3*q - 12 - 9*q. Let a(y) = -92*y**2 - 9*y - 47. Let k(m) = -2*a(m) + 9*z(m). Find the first derivative of k(j) wrt j.\nAnswer: -46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219*(8 - (6 + 1 + 0)) is divided by 118?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 31. Suppose -5*n - 27 - p = -3*m, 3*m - n = 54. Calculate the remainder when 93 is divided by 20\/(-15)*(0 - m).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -16 + 79 + -65\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -217. Solve -46*x + 45*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 9785*v + 9792*v - 19580*v + 4, -5*v = 11*o + 64 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7516*l + 138292 - 200495 = 134340 + 269449 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 107 = 2*b + 49, 309 = -4*o - 5*b. Let i = o - -33. Let r = i - -135. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 853.\nAnswer: -4\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73908765 is divided by 625?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 29 = 5*w - 2, 4*w = -3*a + 24. Suppose -2*k + w = -k. Let v be (10\/(-6))\/((-1)\/(-3)). Put v, 0, k in ascending order.\nAnswer: v, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285721 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*c + 19643, 0*c + 26186 = -4*c - 2*f. Let j = -58985\/9 - c. Find the common denominator of j and -22\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 17 = 5*w + 5*a, -5*w - 30 = -5*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u - 5*l + 29, -u + 26 = 5*l. Which is the biggest value? (a) 3\/5 (b) u (c) -0.13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.15 + -0.15. Let o be (2\/(-14))\/(2\/4). Which is the closest to o? (a) -0.2 (b) 2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 216 = -0*z. Let y be (-1 + 7)\/(4\/(-2)). Let d be (y\/6 + 2)*4. What is the greatest common factor of z and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/3*u**3 - 1\/2*u**2 + 2*u + 1. Suppose -4*w - 5*c = -2*c + 6, -2*w - 2*c - 4 = 0. What is q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550892012.\nAnswer: 2, 11, 2969, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 7085.\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136426555 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 24. Suppose l = -z - z. Let m = -1467 + 1469. Sort z, m, -3.\nAnswer: z, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276914*w**2 + 268244*w.\nAnswer: 553828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 + 275 = -2*p. Let w = p - -346. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*i + 29*i + 252. Solve -2*a + 15 = 3*a + 4*p, i = 3*a - 5*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19032 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 350562 or 350552?\nAnswer: 350562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1533389204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c + 14854598. Let y(d) = 8*d**2. Calculate h(y(u)).\nAnswer: -40*u**2 + 14854598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 355.99 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142764, 285410, 428054, 570696, 713336, 855974, 998610?\nAnswer: 1141244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2022*s**3 - 21*s**2 + 17*s + 31. Let j(u) = 1011*u**3 + 12*u**2 - 9*u - 15. Let f(b) = 7*j(b) + 4*o(b). Find the second derivative of f(l) wrt l.\nAnswer: -6066*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -1.2. Suppose -w + 3 - 27 = 5*y, 2*y - 5*w = 12. Let m be 1\/3 + 14\/(-12). What is the third smallest value in o, m, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 + 6*f + 3. Let k be m(-9). Let t = k + 5. Suppose 0 = y + q - 11, -4*y + y - q + t = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46125, 92174, 138221, 184260, 230285, 276290, 322269?\n\"Answer: -m**3 + 5*m**2 + 46041*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 - 38*b + 112. Let g = -12 - -19. Suppose x + x = -i + g, 0 = -4*i - 12. Calculate the lowest common multiple of q(9) and x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:58 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmk. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 13. Is 4\/n - (-1400)\/30 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4 - 1 + 102*o - 6 - 112*o. Let q(c) = -c - 1. Suppose 0*x - 3*x - 9 = 0. Let w be q(x). Let f(s) = 2*s + 2. What is w*h(a) + 11*f(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -256*k - 1788. Let c be n(-7). Solve 2*s - 5 = m + c*s, -3*m = 4*s + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 605\/11 + (-2 - 3). What are the prime factors of 1\/(-5) - (6 + (-74610)\/q)?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 - 8)*(12677*p**4 + 121 - 6339*p**4 - 6345*p**4) as w*p**2 + a + n*p + o*p**4 + q*p**3 and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/4*4\/(-50)*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose 0*y + y = c*k - 21, -4*k + 19 = y. What is the units digit of (0 - y\/(-3))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69130, -69476, -70052, -70858, -71894, -73160, -74656?\nAnswer: -76382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 30*b**3 + 8 + 29*b**2 + 28*b**2 - b**4 + 47*b**2 - 100*b**2 in the form x*b + o*b**4 + t*b**3 + w + n*b**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*q + q - 2649995, j + 5*q + 2650025 = 0. Round j to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let c(z) = 3*z - 5. Let i(f) be the second derivative of 4*f**3\/3 - 7*f**2 + 4*f. Let v(q) = 14*c(q) - 5*i(q). Give v(k(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5363 and 424049.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4 = 0, -f + 7 = 54*k - 57*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*s - 24, 3*s - 4*s + 2*r + 10 = 0. Suppose -3*k + 4*m = 14, -8 = -3*k - s*m - 28. What is the units digit of ((-8)\/k)\/((-3)\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 174501.6 milligrams?\nAnswer: 174501600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -1 (b) 1975 (c) 0.1 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*r + 13 = 165*r + 2*l, -r + 5*l = 36. Suppose -2*g = -0 + 10. Put g, r, 5 in descending order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**3 - 15*x**2 + 2*x. Let w(g) = -63*g**3 - 105*g**2 + 12*g. Let a(p) = -15*r(p) + 2*w(p). Factor a(m).\nAnswer: 3*m*(m + 2)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/23)\/((-8)\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 439.251 * 5\nAnswer: 2196.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + 54*s - 263 - 42 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -1, 26, 55, 86?\n\"Answer: y**2 + 22*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*g - 675 = 120 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 71. Suppose -24 = -7*h + r*h. Solve 0 = -5*a - h - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = 5*y, 2*p = -y - 0*y + 3. What is the first derivative of -7*w**2 + 4*w**4 + 7*w**p - 4 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01328 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6909.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96783116 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -56. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 5*q**4 + 8655*q**3 + 203103*q**2.\nAnswer: 120*q**2 + 120*q + 51930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658804 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-6336))\/(1*(-2)\/(-3))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 - 4*k - 6. Let d be p(6). Suppose 0 = 4*g + b - 15, 2*b - 10 = -2*g + 2. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 4. Let a = -63 + 59. Let w(m) = 4*m + 3. Let x(c) = a*w(c) - 3*y(c). Suppose 5 = 3*g - 10. Calculate x(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x = -6*f - 66*x + 4, 5*x = 3*x + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/((b**5\/b*b)\/b)))*b\/(b\/(b*b*(b*(b*b\/(b**(9\/2)*b*b))\/b)\/b*b*b)*b))\/(b\/(b\/b**(-3\/2)))**(3\/23))**(5\/11) assuming b is positive.\nAnswer: b**(-45\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -342 - 138. Let w be 14 + 10\/(-15)*3. What is the greatest common factor of r and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 67, -85, -371, -833, -1513, -2453?\nAnswer: -3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zqqgggqzmqzzggzgggm.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10775051 and 14259?\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3036531 + -31?\nAnswer: 3036500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z + 4. Let q be (-6)\/((-4 + 2)\/z). Calculate the common denominator of (-1)\/q - 178\/(-132) and -5\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89, 320, 749, 1400, 2297, 3464, 4925?\n\"Answer: 4*k**3 + 75*k**2 - 22*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 164*a - 170. Calculate u(-50).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*k**4 - 35*k**2 + 4*k?\nAnswer: -1104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11666 - -3?\nAnswer: 11669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200979418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116 - 90 - (-19 + (5 - 5))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1886 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:02 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 4. Let z(l) = -10*l - 22. Let i(c) = 11*c + 25. Let j(d) = 4*i(d) + 5*z(d). Let o(n) = 14*g(n) - 6*j(n). Calculate o(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**3 + 5*h**2 + 2*h - 4. Let v = -56 - -51. Let y be 9\/(-2)*4\/3. Let x(c) = -8*c**3 - 6*c**2 - 2*c + 5. What is v*x(l) + y*m(l)?\nAnswer: -2*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542143 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 248 = -g - 7*c, -g + 216 = -5*c. Let r(m) = m**2 - 6. Calculate the least common multiple of (-177)\/g*(-32)\/3 and r(-5).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8052 and -31\/55.\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -83. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/117, 1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*x**3 + 289*x**3 + 8*x**3)*(-3 + 2 + 4) to the form y*x**2 + d*x + n + q*x**3 and give q.\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h**2 - 1. Let u(a) = 7*a**3 - 3*a**2 - 5. Suppose -2*k + 168 = -44*k. Calculate k*v(o) + u(o).\nAnswer: 3*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26109153.52 rounded to the nearest one thousand?\nAnswer: 26109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10 and 1\/10*(-623)\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-3)\/60). Let p = -8 + i. Suppose -w + y = -2 - 1, -2*w - y + 12 = 0. Is w bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10. Sort n, 3, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48637, -97277, -145917, -194557, -243197, -291837?\n\"Answer: -48640*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -dc (base 16) in base 15?\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*i**2 + 1959*i + 33*i**2 - 14*i**2 - 615*i - 9*i**2 to w*i**2 + x*i + y and give x.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141349 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/((-18)\/36)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 + 23 = 4*k, -5*k = -30. Solve 0 = -3*x - 5*w - 8, w = -j*x + 8*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298.8206988 - 298.2676. Let v = -3.5530998 + l. Let f = -3 - v. What is f rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92.6693688 and -0.5?\nAnswer: 93.1693688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101986 is divided by 50121.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose -2*l = -5*t + 20, -m*t + 20 = -2*l + l. Suppose -n - 6*u - 6 = -2*u, -t*n = -u - 10. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 0. Let t = 39 + -32. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1219, 1220, 1221?\n\"Answer: x + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o**3 + 17*o**3 + 4*o**3 + (-1 + 1 + 2*o**2)*(6*o - 7*o - 10*o) in the form t + y*o**3 + d*o + v*o**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52774 is divided by 593?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - -1)\/(2\/1). Let g = v + 9. Let i(l) = -l**2 + l + 2. Let z be i(g). Solve p = -z - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s = 73*s + 1476 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -8\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 + 4 = -5*h, -2 = -g + 2*h. Find the third derivative of 0*r**3 - 3*r**3 - 7*r**g - 3*r**3 + 7*r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 3*f**2 - 14*f - 8. Let d = -73 + 80. Is 10 a factor of j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922 is divided by 81?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -587+-58\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 17*v - 399. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/k**(-3\/4)*k*k)\/(k\/(k\/k**4))*(k**(-16)*k)\/((k\/(k**(-4\/11)\/k))\/k) assuming k is positive.\nAnswer: k**(-599\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 1)*(0 + 0 + 2) + 2 + 0 - 1)*(3*g + 0*g - 9*g)*(-2*g + 2*g - 3*g) as q*g**2 + x*g + i and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121\/2*x + 0 + 1\/4*x**2.\nAnswer: x*(x - 242)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e772 + 1bb?\nAnswer: -e5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:15 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/35248 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - u**5)*(-2 - 1 + 1) + 5*u**5 - 3*u**5 + 0*u**5 - u + u + 2*u**5 + 8*u**5 + 4*u**5 - 5*u**5.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2016 or 2038?\nAnswer: 2038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + -1)*234\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -28 in decreasing order.\nAnswer: 3, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 5*v = 22, 2*k + v = 10. Solve 0*z + k = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, y: 2, o: 1, z: 2, c: 7}. What is prob of picking 2 y, 1 c, and 1 u?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m + 6*m**3 - 3245*m**2 - 838*m**6 + 5*m + 793*m**6 + 2*m wrt m.\nAnswer: -5400*m**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose 0 = 5*z - 2*b + 9, 8 + 3 = -z + a*b. What is the nearest to 0.1 in 1\/6, 3\/7, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26 + -25)\/(2\/(-268)). Let o = -72 - r. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 17 (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - -69?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134342 (base 6) in base 3?\nAnswer: 122100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -13 - -5) + (-6 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15513361561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4376903\/253 - 17300. Which is the nearest to 2\/9? (a) 0.1 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-4)\/sqrt(8) - sqrt(3900)*1)\/(-4*sqrt(75) + sqrt(75) + (sqrt(36)*-1)\/sqrt(12)).\nAnswer: 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttntnnnnnnn. What is prob of picking 1 t and 2 n?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbovvbsvvvowvvovvbv. Give prob of sequence bbo.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*y = 177, 4*n - 444 = -y + 196. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrreekbrebeqemrr. What is prob of picking 1 q, 1 b, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00233189 to five dps.\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1\/3, -5, 4.2269, 1, -0.5 in ascending order.\nAnswer: -32, -5, -0.5, -1\/3, 1, 4.2269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 6 - 2. Let l = 5 + y. Suppose n = 4, -4*n + 5 - l = -r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 3 + (18 - (-14 + 36))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -45, -90, -149, -222?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. Let v be s\/(4\/(-119)) - 0. Is (-3 - -5)*v\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179146 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128222\/7 - 18318. What is the closest to -4.6 in p, 0.2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3390 and 656530.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-74 + 3*h + 2*h**2 + 72 - 10*h).\nAnswer: -4*h**2 + 14*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 114. Let i = d - 165. Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*k - 496*k = 360*k - 37944 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-112034)\/871530 - (-4 + 232\/60))?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 4 = 14*m. Let d = -25 + 30. Solve d*a - 3*a = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*i - 6*i = -26, 4*x - 42 = 2*i. Suppose 3*h = 5 + x. Solve 4*k + 4*a = -0*a + 16, -2*k - 20 = -h*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from {c: 8, m: 4, u: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3168*f**2 + 8 - 1057*f**2 - 1058*f**2 - 1057*f**2.\nAnswer: -4*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/12*0)\/(-1). Solve 2*c + 4 + 2 = r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 5:15 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -412955.8025 to the nearest ten.\nAnswer: -412960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.053 + -5.053. Which is the third smallest value? (a) -4\/5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 64*s**2 - 68*s + 72. Let l be t(33). Solve -l*z = -13*z - 42 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295154 - -295155. Suppose 0*w + 4*w - 4*j = -36, 0 = -3*w - j - 7. Sort i, 5, w, 2 in descending order.\nAnswer: 5, 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575*m - 13505 - 6667 = -36884 - 43138 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from exeex?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.590134 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 less than 11497?\nAnswer: 11551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/(-792)*(-21)\/35)\/((-4)\/294)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16*j + j - 3*j + 1.\nAnswer: 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1857 + 1935. Solve m = 20*i + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/16)\/(x*(x**(-9)*x)\/x))\/(x**(-2\/67)*x**(-1\/8)*x))**(-28) assuming x is positive.\nAnswer: x**(-55097\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 6085*x**6\/6 + 7*x**3\/3 - 849*x + 5828. What is the third derivative of c(q) wrt q?\nAnswer: 365100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3420.5 and 0.5.\nAnswer: -1710.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -5 (c) -1 (d) 0.3 (e) -5\/4 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 569 - 256. Let w = -309 + l. Suppose -g + 0 - 14 = 0. Sort w, 2, g in descending order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 66, 2 in ascending order.\nAnswer: 2, 53, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36496 (base 10) to base 11\nAnswer: 25469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11)*232\/59160?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -383590\nAnswer: 1\/191795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z)\/(z*z\/(z**(2\/41)\/z))*(((z*z**(2\/19))\/z)\/z)\/((z*z*z\/(z*z\/(z*z*(z**(-26)\/z)\/z*z)*z))\/z) assuming z is positive.\nAnswer: z**(21932\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 2:59 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -29 + 15 - 12\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzymomrjzjrzzo. What is prob of sequence om?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w\/w**(-9\/7)*(w**(1\/3))**(-5\/9) assuming w is positive.\nAnswer: w**(2665\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.2 and -0.31?\nAnswer: 1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1291.\nAnswer: 3\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kii when three letters picked without replacement from afaccaifcaaickac.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 5 + 8 + -6 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-27) - 8\/(-3). Suppose -b*x + 15 = 2*x. Suppose x*s - 44 = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20412 + -111121?\nAnswer: -132033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 36 + (5 - 1 - 0). Suppose -14*k + m = -10. Solve n = -a + 2, k*a - 10 = -n - 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 249*t + 246*t - 11 = 0, -2*t = 3*s + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259860521 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 - (-30)\/9. Suppose 2*m + 6 = d*m. Suppose 0 = 4*s + s - 30. Solve m*c - s = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/564 and -41\/1316.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 + -917. Let g = t + 1404. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18754 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n - 41. Calculate the remainder when 18 is divided by q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = -5*y, -15 + 5 = -2*y. List the prime factors of ((-69)\/(-6))\/((-3)\/s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = -13, -4*y + 1986 = 5*r. Suppose 5*h = -3*q + r, -49 = 5*h - q - 463. What is the remainder when h is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92767 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2 + 7*j - 2. Suppose 3*w - 3*a - 39 = 33, -4*a - 48 = -2*w. Suppose 6*p - 54 = -w. Calculate m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = 5*c, -2*a - 3 = -5*c + 12. Solve 9*s - 8*s + c = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 63588*d + 505429218.\nAnswer: 2*(d - 15897)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*o + 17 - 15, 3*c + 3*o = 6. Calculate the lowest common multiple of -5*(-2 + -1 + 2) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -2. Let l be (-4)\/(-2)*i\/(-6). Let n be (2 - -2) + -15 + 29 + -11. Solve l = -2*k - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -o, 6 = 2*o - 0*m + m. Let g(b) = 1 - o*b - 18*b - 2*b. Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 6:36 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8939 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13107, 25953, 38801, 51651?\n\"Answer: n**2 + 12843*n + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 1, r: 1}. Give prob of sequence rn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*m - 39403 = 0, -5*m - 31526 = -4*n - 7*m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2125\nAnswer: -3\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 10. Let f = 13 - 13. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.66687 nanograms in milligrams?\nAnswer: 0.00009966687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 32577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/2*f**4 + 13*f**2 + 9\/100*f**5 + 21*f + 2\/5*f**3 + 0. Let j(k) be the first derivative of h(k). Factor j(t).\nAnswer: 3*(t + 2)*(9*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + z**2 + 85*z + 275 = 0. Calculate z.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**2. Let x(o) = -4*o**2 + 15*o - 15*o + 12*o**2 + 15*o**2. What is b(x(j))?\nAnswer: -7406*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.633518 to two dps.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 884 + -472. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 17*y + 3. What is the units digit of c(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z - 2*s, -3*s = z + 17 - 6. Is 1\/5850 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 180 = 36. What is the common denominator of (32\/i)\/(4\/(-84)) and -33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:26 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26417 + -18517. What is l rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100001000101111 (base 2) to base 12\nAnswer: -5683b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -68 in descending order.\nAnswer: 5, -14, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -k + 21, 11623*t - 11618*t + 1 = 2*k - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 397157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 8565.\nAnswer: -2\/8565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - (-3 + 1 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 13\/5)\/(36\/90). What is the closest to 25 in -3, 0.3, q, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - 8 - (13 + -4 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -3*v**4\/4 + 401*v**2. Let n(t) = 9*t. What is n(z(k))?\nAnswer: -162*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64900 and 0.3.\nAnswer: 19470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 461238269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12719 and -1.13.\nAnswer: 12717.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 78*l - 83*l - 2*q, -8*q - 86 = -2*q + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327524209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**4 + 233*a - 33*a**4 + 29*a**4 - 1 + 2 in the form o*a**4 + n*a**2 + d + b*a + c*a**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(-4 + sqrt(720)*1 + 5)*5)**2.\nAnswer: -216300 - 7200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -48, -15, 106, -0.5, -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1888.603 - -1890. Let x = t - 1.39107. What is x rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 19*j + 60. What is the remainder when -1 + 30 - (0 - 0) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 11. Let w(h) = h + 7. Let r be w(m). What is the remainder when 23 is divided by (r\/3)\/(3\/54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 48. Let w = 3 + 13. Calculate the highest common factor of w and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 3. Calculate the least common multiple of f and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/9488 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*s + 98*s + 16*s**3 + 39*s**3 - 35*s**3 + 29*s**3 + (-5*s**2 + 4*s**2 + 3*s**2)*(0*s + 2*s - s) - 1 - s**3 + 1 - s**2 + s**2 - s**3.\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let k(i) = -2*i + i**h + 0*i**3 - 9 - 10*i**2 - 10*i + 2*i. What are the prime factors of k(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = 2*g + 5*z, -15 = -g + 3*z. Suppose -5 = -g*h + 13. Solve 0 = -h*m + 2*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422472\/15660 - (-1)\/45.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10579493.\nAnswer: 10579493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 3*g + 2. Suppose 17*u + 520 = 22*u. Suppose u = 26*t - 26. Give s(t).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911 is divided by 113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 22*k + 25. Let r be w(21). Which is the third smallest value? (a) -0.5 (b) r (c) -6 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59674859*l**3 + 4*l**2 + 211343533 wrt l?\nAnswer: 179024577*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-9)\/15)\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 + 12*c + 8. Let m be r(-6). Calculate the remainder when 73 is divided by 5\/(20\/m) + 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 48884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26634431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -23*b - 6. Let z(d) = -26*d - 7. Let i(x) = 7*r(x) - 6*z(x). Let v(j) = -3*j. What is i(v(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 14559260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2337482, -2337489, -2337496, -2337503?\nAnswer: -2337510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/9 + 8*x**4\/3 - 38*x**3\/9 - 76*x**2 + 144*x = 0. Calculate x.\nAnswer: -9, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 84, 143, 220, 321?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 383 = -i, -3*i - 120*h + 116*h = -1169. What is the remainder when i is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*x + 5, -4*a + a + 5*x = 5. Sort -0.016, -4, a, 0.2.\nAnswer: -4, -0.016, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 5. Let h be q(6). Suppose h = 5*a + 5. Suppose 40 = a*t - t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 341\/3775 + -303782117\/45300. Let x = 6711 + m. Find the common denominator of 59\/14 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.97855 years in decades?\nAnswer: 8.097855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*n - 0*n. Suppose -4*s - 2*h + 66 = 0, 3*s + 646*h - 46 = 648*h. What is the highest common factor of s and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 693924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/8 + m**2 + 1. Let z(i) be the second derivative of l(i). Let f(n) = -131*n**2 + 67*n**2 + 68*n**2. What is f(z(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w + 66. Let x be u(6). Let c = -31 + 12. Let m = c - x. Sort m, -5, -3\/7 in descending order.\nAnswer: -3\/7, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334922675.\nAnswer: 5, 167, 80221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let m(a) be the third derivative of -7*a**5\/30 + 87*a**3\/2 + 7905*a**2. What is s(m(u))?\nAnswer: 196*u**4 - 7308*u**2 + 68121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 3\/68903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 3*g**2 - 8*g + 6. Let h be q(5). Suppose -4*s + h = -0*s. Suppose -3*a - s*n = -2 + 3, 2*n = 4*a - 28. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 9. Let s be u(9). Suppose s = -5*t + 4*b - 16, 0*b = 2*b - 8. Suppose -q = -t*q - 3. Solve 2*h + q*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*n - 35 + 154, 0 = -2*b + 4. Calculate the remainder when 43 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*r + 77872, 3*u = 4*u - 4*r + 38921. Let k = -32059 + u. Round k to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = s - 20 - 1, 4*s + 3*b - 40 = 0. Find the second derivative of -14*l**3 + 0*l**2 - 5*l**2 - 107*l**4 + 5*l + 5*l**2 + 104*l**4 - s wrt l.\nAnswer: -36*l**2 - 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**1)\/z))**(1\/11)*(z\/z**0)**(-22)*(z*(z**6\/z)\/z*z**(-6))\/(z**(-5)\/z*(((z*z**(-2\/7))\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-1119\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-51)\/595)\/((-6)\/(-38)). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Suppose -5*y + 3*b = -135, 5*b + 128 = 5*y + 3. Suppose 230 = 10*x + y. Let t(a) = -27*a + 74*a - x*a. Determine t(d(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 0*u**2 - u**2)*(-2 - 1 + 5) + (u + u - 4*u)*(-2*u + 0*u + 5*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329 - -322. Let h be 0*(3\/(-2))\/(z - -4). Solve h*y + l = 3*y - 3, y - 1 = -2*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573115.\nAnswer: 5, 83, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 20*d = 70. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 875*t + 166301. Calculate f(-190).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, u: 1, h: 2, v: 2, c: 1}. What is prob of sequence cpvp?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 60*v**2 + 60*v**2 + 2*v + 2*v**3 - 7*v**3 + 3*v**3 + 3*v**3 + (4 - 4 - 2)*(-v**3 + 2*v**3 + v**3).\nAnswer: -3*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/1*(-40)\/10. Suppose 3*p + 3687 = o*b + 4*p, -5*p + 2458 = 2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:04 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*l - 26028 = 0, l + 4200 = q - 1004. Calculate the greatest common divisor of q and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (3 - 14) + 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2163)\/(-6) - -13)\/((-9)\/1596) - -4. Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -85. Calculate the remainder when 23 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = 150 - 30 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Let h be b + (-9280)\/(-5) + -1. Let r = 2608 - h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, 20\/19923?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1121*q**5 - 1201*q**2 wrt q.\nAnswer: 67260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 636 divided by 159\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3800 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**3 - 10*z**2 + 17*z - 10. Suppose -10*a - 78 = -128. Let y be i(a). Is 1 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - (-16 - -26) - (-96 - -69)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102666679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-41 - (23 + -35)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41016491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017351 rounded to 7 decimal places?\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1766*g + 45910. Determine j(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 257 = -491. Calculate the remainder when 2819 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -7*g**6\/120 + 27*g**5\/20 - 542*g**3\/3 + 1433*g**2. Differentiate h(q) wrt q.\nAnswer: -21*q**2 + 162*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 5, 1005, -6\/2309?\nAnswer: 1005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 32. Let w = g - 53. Let l = 22 + w. Which is the biggest value? (a) l (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6523986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - k**3 - k**3)*(0 - 36*k + 35*k - 3).\nAnswer: 2*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39859 in 2, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -830?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let n(z) = -z**3 - 5*z**2 + z + 5. Let r be n(-5). Let i be (-9)\/36*-2*0\/(-2). Let q(o) = r*o + i*o - o + 3*o. What is d(q(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**3 + 2*h**2 - 3*h + 2. What is the remainder when 57 is divided by a(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012027 rounded to 6 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18224 + -9240?\nAnswer: 8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/20 + b**4\/12 - b**3\/18 - b**2 - 2. Let l(u) be the second derivative of g(u). Factor l(m).\nAnswer: -(3*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18784 - -26356. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(189)\/sqrt(3) + -1 + -1*sqrt(7) + 4.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x + 5. Let m be z(6). Suppose -2*v + 5*c = -m*v + 68, -v + 26 = c. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423240533 + 267314.\nAnswer: -422973219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 5, -35 in descending order.\nAnswer: 116, 5, -35","meta":{"dup_signals":{},"source":"comparison__sort_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: Evaluate 0 + -62 - (15 + (32 + -69 - -19)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63594 divided by -9.\nAnswer: -7066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.07 (b) -3 (c) 0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001110001100101 (base 2) in base 11?\nAnswer: -72356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233706455 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -802, -1968, -4070, -7420?\nAnswer: -12330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let u(o) = 3*o - 2. Let s(g) = 1. Let k(w) = -2*s(w) - u(w). What is h(k(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - 1011010?\nAnswer: -10100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -130*k**2 - 15723*k + 841. What is q(-121)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1069, -2109, -3149?\n\"Answer: -1040*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 19*x**2 - 36*x + 32. Let r be i(-17). What is the highest common factor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03665 - 1.4\nAnswer: -1.43665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(2*sqrt(270)*-5 - sqrt(270)))\/(6*(sqrt(90)*-1*-5 - sqrt(90))))**2.\nAnswer: 3025\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-5)\/sqrt(2) + -2.\nAnswer: -5*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -333*t + 314*t + 266. Let b(f) = 2*f**2 - 30*f + 34. Give b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.979 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 2. Let n be y(-2). Let i = -2.8 + 14.8. Let l = 7 - i. Which is the closest to 0.1? (a) 5\/2 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2454 and 2.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2\/2*-1*(-40)\/(-40)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 241430004 (base 5) to base 6\nAnswer: 40030322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8*30)\/((-1029)\/392)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*d**2 - 166*d**2 - 167*d**2 - 157*d**2 - 164*d**2 + 813*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 5. Let s(u) = -20*u - 32. Let f be 7 + -11 + (-1 - (3 - 3)). Let d = -212 + 244. Calculate d*v(h) + f*s(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aav when three letters picked without replacement from xaanvaavvn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196723124 divided by 98361562.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from eieii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/24 + 3\/222*-103. Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(37\/(-317016)*-42)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -121*p - 12. Let o be x(-7). Suppose 4*j = 3*g + 2*j - o, 0 = -g + 5*j + 261. What are the prime factors of g?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, -6, 3\/8, -0.5, 8\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d + -1100?\nAnswer: -10d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1361257\/105 + -12964. Calculate the common denominator of f and 104\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, q: 3}. What is prob of picking 2 q and 1 r?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*o**4\/4 + 181665*o**3 + 262011951*o**2\/4 - 23828277*o\/2 + 541620 = 0. Calculate o.\nAnswer: -1530, -472, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/4 + 72383*l**3\/4 + 54285*l**2 = 0.\nAnswer: -72380, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8.2. Let t = w + -4.2. Let h = 1\/112 - -83\/112. Put -2\/19, h, t in descending order.\nAnswer: h, -2\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -4*l + 2*m - 18, 5*l + 4*m - 32 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*sqrt(72)*2)**2 + (0 + (sqrt(72) - 5*(0 + sqrt(72))) + sqrt(72))**2.\nAnswer: 432*sqrt(2) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 30*g + 84 = 0. What is the greatest common divisor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*w + 72 - 346, 0 = 2*r - w - 258. Suppose -94 = 3*g + r. Is -4*2\/(-2) - (g + -2016) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 790668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.2332 + -20056?\nAnswer: -20002.7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6649698 by -6.\nAnswer: 1108283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 2*r**4 - 2*r + 56*r**2 - 56*r**2 + 5 to the form j*r**4 + h*r + w*r**2 + l + d*r**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.35213 and 1.09.\nAnswer: 0.73787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-387981)\/(-15) + 87\/58 + (-3)\/(-30).\nAnswer: 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79543, 79542, 79541, 79540, 79539?\n\"Answer: -h + 79544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5796 and 1407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302098600 rounded to the nearest one hundred thousand?\nAnswer: 302100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*u**4 + 1063 - 1063)*(-2*u + 2*u + 4*u) - u**5 + 0*u**5 + 2*u**5.\nAnswer: 381*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 18*r. Let l be s(-1). Suppose -q = 7 + 4. Let o = q - l. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-525)\/(-225). Suppose 0 = -x*h + 7 + 83. What is the lowest common multiple of 24 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -7*z**3\/6 - 6*z. What are the prime factors of y(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*450.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-48)\/(-15)) + 16\/(-20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 320*d - 5120 = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**3\/3 + 21*y**2\/2 + 122*y - 91. Is k(-16) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = l + 16, 5*u = -l + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48172110, 96344219, 144516328, 192688437, 240860546?\nAnswer: 289032655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 13 = -4*d, -x + 2*d - 3 = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 36.95. Let w = 42 - q. Which is the biggest value? (a) 3 (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41317139.\nAnswer: 5479, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 33. Let g = 0.4 - 1.6. Let x = 1.8 - g. Sort n, 2, x, 4\/5 in decreasing order.\nAnswer: x, 2, 4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 3*q**3 - q**3 + q**2 - q**2 + 2*q**3 + (0*q**2 + 5*q**2 - 3*q**2)*(-4 - 2*q + 4) - 1 - q**3 + 1 + q**3 + q**3 - 3*q**3)*(4*q + 1 + 0*q + 2*q).\nAnswer: -30*q**4 - 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643, 1285, 1929, 2575, 3223?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Let c = -28 - g. Let p = c - -32.062. Round p to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*s = 741 + 1563 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/5 + 129*q\/5 - 126\/5 = 0. What is q?\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1259500 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138872, -138871, -138870, -138869, -138868?\nAnswer: -138867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00739 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 + h - 8*h - 3 + 3*h. Let q(v) be the first derivative of -3*v**2\/2 - 2*v - 5. Suppose 0 = 8*c - 3*c + 10. Calculate c*z(g) + 3*q(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*t - 179, 5*t - t = -8. Let x = 62 - l. Let w = -17 + x. Calculate the lowest common multiple of 3 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1488075600 to the nearest 1000000.\nAnswer: 1488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/189*(-3 + (7 - 2))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2\/2 - 4). Let g be a\/15 - (-33)\/15. Determine h so that 0*h**g + 1\/4*h**5 - 1\/2*h**3 + 0*h**4 + 1\/4*h + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00086 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/1260 + d**6\/180 - d**5\/40 - d**4\/12 - 2*d**3\/3 + 20*d. Let w(l) be the third derivative of x(l). Determine w(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 + 6*q**2 - 5*q + 8. Let w(a) = -8*a**3 - 7*a**2 + 6*a - 7. Calculate -6*w(u) - 7*y(u).\nAnswer: -u**3 - u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125779*i**3*p + 2*i**3*s**2 - 176*i**3*s - 3*i**2*p + 2014*i*p*s**2 + 2*i*p*s - i*p - 4627*p*s**2 wrt i?\nAnswer: -754674*p + 12*s**2 - 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 18*r + 14*r - 6*r + 71*r + 2*r**2 to z*r + u*r**3 + h + g*r**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, u: 2}. What is prob of sequence mmu?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136.4 + -128.4. Round o to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -496 (b) 4 (c) 0.1 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 37.4. Let f = 3 + 0. Let j = -0.36 + 0.06. Which is the third smallest value? (a) j (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59982193?\nAnswer: 59982193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 2337.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let x(b) = 32*b**2 + 12*b**2 - 2*b**2 - 18*b**2. Calculate a(x(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - h - 2881, 0*j = 3*j + 5*h - 2155. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 19\/5 (c) 0 (d) 1\/4 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*6745\/(-2698)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 + 14. Round z to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7146.861g?\nAnswer: 7146861000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 457 = -5*t. Suppose 3*y + 5*r = y + 44, -t = -4*y + 4*r. What is the lowest common multiple of 16 and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -2\/3 (c) 0.1 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -31, -73, -143, -247, -391, -581, -823?\n\"Answer: -r**3 - 5*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2465 != -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/840 + j**5\/84 - 13*j**4\/168 + j**3\/6 + 2*j**2 - 5*j. What is d in i(d) = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:27 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.119 + -1.749. Sort g, 1\/11, 2\/5 in ascending order.\nAnswer: g, 1\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - t + 2*t)*(3 - 1 - 1 + 1 + 3 - 2 + (0 - 1 + 2)*(-2 + 5 - 4))*(-22*t**3 + 407 - 407) as o*t + u + g*t**3 + i*t**2 + x*t**4 and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 8 = -52 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 1\/(7*(-3)\/(-273)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q)**(-9\/5))**(-3)\/((((q*q**(-1))\/q)\/q)\/q*q*q**(-3)*q**(-1\/3)*q\/(q**(-2\/9)*q)) assuming q is positive.\nAnswer: q**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-875)\/(-125))\/(1*4\/2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33253287839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 + -1)*(-1)\/1. Is h smaller than 8\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.026, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 + -b?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -519, 18, 1\/2, 2\/7, 1 in ascending order.\nAnswer: -519, 2\/7, 1\/2, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8139094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139.3 - 0.0407.\nAnswer: -139.3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -700 - -698. Let y(a) = -82*a - 97. Is y(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3738 + 3768. Solve 0 = 8*j + y + 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*q**2 + 23 + q**4 + 83*q**2 + 2*q**4 to i*q**3 + c + b*q**2 + y*q**4 + l*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11366 to 3 decimal places.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10582937 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 19*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6332370 and 149\/990.\nAnswer: 18997110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -19*a + 4. Let f be l(2). Let k = 38 + f. Suppose 4*q = 3*o + 2669, -5*q + k*o = -985 - 2350. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 51. Determine n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -1\/36*w**4 + 0*w - 9 - 1\/6*w**3 - 23\/2*w**2 + 1\/180*w**5. Let s(l) be the second derivative of h(l). Factor s(p).\nAnswer: (p - 3)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 38. Let w(k) = 7*k - 9. Let a be w(x). Suppose 0 = -5*j + 3*o + 18, -a*o = 2*j + 2*j - 7. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1202, -1, 4.\nAnswer: -1, 0.1202, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -175. Let v = l - 20.29. Round v to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 4, v: 1, f: 5, w: 4, y: 3}. Give prob of sequence wfwy.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5048 = -2124. What are the prime factors of j?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/(((-2)\/(-3))\/((-52)\/78)). Let z = s - -124. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:16 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) -3 (c) 3\/2 (d) -5 (e) -2\/2761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155277799*c**2*p**3 + 16*c**2*p**2 - 9*c**2*p - 2*c**2 - 4655*p**2 wrt p.\nAnswer: 931666794*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -11 + 8 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((3 - -1) + -13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 = -m, 3*m - 36 = 5*o - 2*o. Let v be (-41)\/o - (-30)\/(-195). Suppose v*f + 2*f = 240. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1631 + 1628. Is q less than -41\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 50692*a + 50690*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (7 + -4)) + 11 + -15 + 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2 + 11. Suppose 5 = z + k. Calculate the remainder when 21 is divided by (-5)\/(-20) - 86\/z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 87 - 11*q**3 - 92*q**2 + 47*q**2 + 45*q**2.\nAnswer: -10*q**3 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -16. Suppose -2*y = 2*f - f + t, 2*f - 2*y - 22 = 0. What is the units digit of 113\/f + (-1)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 310.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -58. Let n = j + 1037\/15. Let w = -0.02 + 4.02. Which is the biggest value? (a) w (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -106.8. Let l = 22 + g. Let u = 1 - l. Which is the closest to u? (a) 0.4 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + (-2)\/(-6). Let c = -21\/13 - -223\/130. Let n = c + -3\/5. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 48. Suppose -2*b = -4*s + 38, -3*s + o = -2*s + 3*b. What is the derivative of s*a**4 + 36*a**2 + 7 - 36*a**2 wrt a?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 4*x + 12. Let i be j(6). Let y be 6\/4*(8 + i\/6). Solve 0 = -m - y - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*n**4 - 44*n**4 - 116*n**4)*(-n + 3 + 0 - 1).\nAnswer: 122*n**5 - 244*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1296\/11 + 21077\/176. Let u = 440\/3 + -6453\/44. Let n = 1517\/132 + u. What is the common denominator of h and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q + 2. Suppose 4*v - 3*b = 6 + 22, -4*v - 2*b + 48 = 0. Suppose l = v + q. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let n be 16\/x + 4\/(-12). Solve -2*k - 1 = 3*k + 2*i, -7 = n*k - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -0.1757, 1\/2?\nAnswer: -0.1757","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 63. What is the remainder when 57 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from uiuuuubuy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/20 - 25*u**2. Let k(c) = -59*c. Calculate k(x(a)).\nAnswer: -177*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1520 and 204250.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-5\/8)*y*y**(-5\/11)\/y*y*y*(y\/(y\/y**(-10\/9)))\/((y*y**(4\/5))\/y) assuming y is positive.\nAnswer: y**(37\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 733231314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*l - p, 2*l + 5*p = -0*p + 9. Suppose h - l = -0*h. Calculate the greatest common factor of 120 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83124709*v**4 - 59833631*v wrt v?\nAnswer: -997496508*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(18\/12))\/(10\/(-4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, -3, 942, 5, 10, 0 in descending order.\nAnswer: 942, 17, 10, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 31621440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -55, -77, -95, -109, -119?\n\"Answer: 2*d**2 - 32*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.391202 micrometers to nanometers.\nAnswer: 2391.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58602487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/3 (c) -157 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f + 5*f + 2*f)*(-6*f + f + 3*f) + 3 - 3 - 2*f**2)*(-8 + 18 - 3*f**2 - 11).\nAnswer: 18*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5763 - -3.6163. What is the closest to 1 in g, -7, -1\/3, -30?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehhh when four letters picked without replacement from eeefehfhefefh.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947844 by -2034.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - f)*(-2 + 2 + f**4) + 0*f**5 - f**5 + 3*f**5 - 16*f**5 + 3*f**5 + 4*f**5.\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*s - 5*z + 873, -459 = -s - 4*z. Let r = 440 - s. Sort r, -66, -5.\nAnswer: -66, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 27. Let y = b + -6. What is the remainder when y - (0 + 1 - 2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43229*x + 43157*x = 1810 + 638 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + g**2)*(17*g**3 + 28*g**3 - 9*g**3) - 4*g**5 + 0*g**5 - 2*g**5.\nAnswer: 30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**3 + a - 471 wrt a.\nAnswer: -12*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -14, -3\/2602?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1. Let v(q) = -2*q + 1. Determine 5*o(y) + 4*v(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 15*x**2 - 58*x - 10. Determine z(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260)*1*-5 + sqrt(1260))*-5)\/((sqrt(160) - (sqrt(160) - sqrt(160)*1))\/sqrt(72)).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*a - 16 = 0, 2*a + 23 = 5*k + 3*a. Let z(r) = k*r - 6*r + r + 2*r - 4. Let c(g) = 2*g - 10. Let i be c(3). Determine z(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjawqee. Give prob of sequence eaae.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 27*c. Let y(n) = -171*n. Calculate j(y(t)).\nAnswer: -4617*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/(((15\/24)\/1)\/((-280)\/(-112))*-8)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.37 or -35.6?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/8701 and -52\/2373.\nAnswer: 26103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 7. Let z(d) = -4*d + 7. Give -6*x(m) - 7*z(m).\nAnswer: -2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17257856 and 12978?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:59 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*s - 2*h**3*w**2 - 4*h**2*w - 69*h*s*w**2 + 2*h*s - 2*s*w**2 wrt w?\nAnswer: -4*h**3 - 138*h*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2791382684 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 5*g**2 - 2*g - 3. Let s be m(-5). Let f = s - -4. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 - 403. Let u = p - -95. Solve u = -2*x, 2*y - 4*x - 13 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 14) + 11 + (-5 - -14)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -344725612 - 10\nAnswer: -344725622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 116070.\nAnswer: 116070.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 663, -8, 303, -18 in descending order.\nAnswer: 663, 303, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) 2 (c) 23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111153678 by -2.\nAnswer: 55576839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 39*t**2 - t - 44. Let n be u(-39). What is the smallest value in 0.7, -3\/7, 0.3, 2.28, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -2 + 2 - (-229 + 250)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -5 + 1 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-9)\/3 + 1). Let l(r) = 4*r - 15*r + 5*r + f*r. Let p(h) = h**2 - 1. Calculate p(l(y)).\nAnswer: 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 2*i**3 + 3*i + (0 + 1 + 1)*(2*i**3 + i - i) + 0*i**3 + 0*i**3 - i**3 + (-i**2 - i**3 + i**2)*(0 - 2 - 2) - i**2 + i**3 + i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 4. Let l be j(-2). What are the prime factors of (l - 6)*(-3 + 1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 399241 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9745 - -9745. Which is the nearest to s? (a) 0 (b) -0.07 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*a + 3*c, -5*c = 2*a - 54 + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 8*q**2 + 4. Let s be b(8). Let p(t) = -t - 1. Let j(o) = 5*o - 3. Let f(x) = j(x) + 2*p(x). Calculate f(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 + t - 9. Let y be g(9). Suppose -4*v + 513 + 215 = y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 263340 and 495?\nAnswer: 263340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, -0.07, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226930179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 1. Let b(z) be the first derivative of -9*z**2\/2 + z + 17. Let p(m) = -4*b(m) - 7*n(m). Let o be p(-6). Put 2\/9, o, 5 in ascending order.\nAnswer: o, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246298*c**3*m**2 - 72224*m**2 with respect to c.\nAnswer: 738894*c**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12137724 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -506236 and -506235 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let n(k) = -6*k + 5. Let x(p) = 10*i(p) + 2*n(p). Let w = 468 + -466. Let h(v) = 18*v - w*v - 15*v + 16*v. Give x(h(t)).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgfgtd. What is prob of sequence dt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:17 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -5 - 7. Suppose q = -2*q. Suppose c*b + b - 81 = q. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrrhrrrhrrrwrru. What is prob of sequence whhu?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.4 + 34. Let a = -6.4 - b. What is the second smallest value in 1, -4\/9, a?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733 + 5*h**2 + 733.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1117109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29948600 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -0.3019794\nAnswer: -0.003019794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhxzxhx. What is prob of picking 1 h, 1 x, and 1 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -119*w**5 - 245*w**2\/2 - 188*w + 4. Let z(k) = -39*k**3 - 4. Determine 4*u(v) - 245*z(v).\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*v**5 + 4313*v**4 + 47*v - 14990?\nAnswer: 2460*v**3 + 51756*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(54*1))\/(((-247)\/(-260))\/(-19)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 3. Let q be o(3). Suppose q*f = -s, s - 2*s + 5*f = -8. Let a(z) = z + z**2 - 2*z**2 - 2*z - s. Give a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38634 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -773 + 773 - 3*w**2 - 6*w**3 + 6*w to s*w**3 + o + j*w**2 + f*w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*l = -92*l - 21160. Round l to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 7\/3 (c) -2\/17 (d) 37 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 611, 2103, 5035, 9893, 17163?\nAnswer: 27331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2999, 5845, 8681, 11513, 14347, 17189, 20045?\nAnswer: 22921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/378 - ((-30)\/7)\/1. Solve u = 3*p, -h - 6 = 5*p - 5*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*9\/(-12) - (-2 - 0). Suppose -h*x = -3*x - 2. Let t be 2*x + (20 - 19). Solve -t*u + 8 + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 3)*(n - 3*n + 0*n) + (4 + 1 - 3)*(-3*n - 1 + 1) + 205 + 46*n - 205 in the form w + s*n and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*o, -2 = 2*o - 4*o. Let v be t\/5 + 186\/15. Suppose -v = -3*w + 12. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = p + 23, -31 = 2*p - 2*w + 5*w. Let k be 1\/p*(-3)\/3. Let u be 0\/(3 - (-16)\/(-4) - 1). Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8632?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.899 - 6.199. What is the nearest to -0.182 in -0.1, -3, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - (112\/84 - 64\/9). Solve a = -811*t + 809*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -0.52, -3, -1.\nAnswer: -3, -1, -0.52, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.6. Suppose 16*s = -31*s - 6*s + 2*s. Which is the fourth biggest value? (a) u (b) 0.3 (c) s (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 34 = 4*n. Calculate the least common multiple of 30 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44504625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2734*p = 2726*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 2*a**2 + 9*a + 7. Let r be g(-3). Let n(c) = 10*c + 1. Let f be n(2). Let x = r + f. What is the lowest common multiple of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 24. Let c = 355 - n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63123 by 53.\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009945 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 26 (b) 5 (c) -4\/27 (d) -2\/15 (e) -32 (f) -0.02 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and 57\/(-4)*(1079\/72 - 15).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1231\/68*(-8 - -18). Let m = w - 1817\/10. Let i = 8\/17 + m. Which is the second smallest value? (a) -1 (b) -6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-36))\/(12\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83129583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3585*d**2*l**3*u - d**2*l**2*u + 2*d**2 - 7*l**3*u - 2*l**2*u - 106*l wrt l.\nAnswer: 21510*d**2*u - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/26638816 and 35\/1192.\nAnswer: 26638816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, 0 = 3*n + 3*r + 26 - 2. Let j(c) = -4*c**2 + c. Let s(i) = 7*i**2 - i. Calculate n*j(l) - 3*s(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ynyyyn.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 83837940269 + 0.14713\nAnswer: 83837940269.14713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2\/5 (c) 5 (d) 48 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25268476?\nAnswer: 2, 6317119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -49.6 (b) 19.71 (c) -5 (d) -0.4 (e) 0 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36328 + 36332. Let s = 0.1 + 7.9. Which is the third biggest value? (a) z (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 15*n. Solve 7*r + 3 = 8*r - 4*h, -2*r + 2*h + 6 = n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112780 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 13995*p - 27978 = 0.\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyyywyyyyywwyyyyyy. Give prob of sequence yww.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + 6*p**2 + 10*p - 1. Let o(b) = 3*b**3 - 7*b**2 - 10*b + 1. Calculate -4*o(a) - 5*x(a).\nAnswer: 3*a**3 - 2*a**2 - 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from avavvavavaaaaa?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1459 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-12)\/384*4*(-44)\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(((-24)\/(-16))\/(-1)). Solve -2*q - x = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/7 + 16*u**3\/7 - 2*u**2 = 0. What is u?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((-5)\/(30\/4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2. Let n(d) = d + 1. Let v be n(5). Suppose -2*g = -v*g + 8. Let k(w) = 2*w**g - 17*w + 17*w. Give k(h(t)).\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 9*n + 1. Let l(s) = -19*s**2 - 37*s - 5. Give 9*g(k) + 2*l(k).\nAnswer: 7*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:58 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let v(l) = -56*l. Determine v(r(n)).\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -10. Let g be 6\/i - 2\/(-42). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*c**3\/3 - 9256*c**2\/3 - 1088*c\/3.\nAnswer: -4*c*(c + 136)*(17*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -638, -1783, -3518, -5849, -8782, -12323, -16478?\nAnswer: -21253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k + 4. Let w(s) = -17*s + 8. Let b(u) = 7*i(u) - 3*w(u). Let h be b(-2). Let g = 41 - h. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 299, 604, 909, 1214, 1519?\n\"Answer: 305*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Suppose 3*q - 2 = 4. Let z = q + g. Sort 0.2, 5, z in ascending order.\nAnswer: z, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7991338 is divided by 116.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976487773?\nAnswer: 14813, 65921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 75 - 188 + 102)*(-g**2 - g**2 + 0*g**2).\nAnswer: 542*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1179*o**4 + 2 - 6*o**3 + 9*o**2 + 6*o**3 + 1183*o**4 as w*o**4 + d*o**3 + a*o**2 + n*o + i and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, a: 4, x: 2, k: 10}. What is prob of picking 2 x and 1 a?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 16*f - 30. Let v(r) = 3*r + 6. What is 2*l(b) + 11*v(b)?\nAnswer: -2*b**2 + b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 4*k + 11*k - 33 - 2*k - 22*k.\nAnswer: -19*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-5 - -12) + 0 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)*h*h)\/(h\/((h\/(h\/h**(3\/8)))\/h))*((h**(2\/21)\/h)\/h*h*h)\/(h*h\/(h\/(h**(-7)\/h))*h))\/((h\/h**2)**(2\/25))**(-2\/63) assuming h is positive.\nAnswer: h**(871223\/138600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 3*l - q - 3*q, -4*l + 2*q + 490 = 0. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -0.14457?\nAnswer: -0.08457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - q + q + (-1 + q + 1)*(2*q + 2*q - 3*q) + 0*q**2 + 4*q**2 + q**2 as g + t*q**2 + m*q and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 150457014 and 0.67.\nAnswer: 150457014.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 495320 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 30*p**2 + 19*p + 12 - 8*p + 66 + 96*p. Let q be f(-26). Solve -29*o + 25*o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2597496 times 0.23\nAnswer: -597424.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*c - 3120, -4*c = -0*c - 2*v - 6248. What is the second derivative of 24*s**2 + 1563 + 81*s - c wrt s?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 56*z**2. Let t(g) be the first derivative of -g**3\/3 - 20. Determine w(t(i)).\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222460861 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(3) + sqrt(9)\/sqrt(75))*6.\nAnswer: -216*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-2 - (-2 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from kmv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 + 318. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 6. Let o be s(-2). Let v(u) = -52*u**o - 5*u + u + 14 + 51*u**2. Let y be v(0). Put 0.1, y, 0.5 in decreasing order.\nAnswer: y, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 0.05 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 632 + -416. Let t be j\/28 + (-4)\/(-14). Solve -2*k = -5*f + k - t, -2*k = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 24*d - 4 - 8*d)*(d + 0*d + d) - 2*d**2 - 3*d + 3*d.\nAnswer: 14*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -29*k**3\/6 + 3*k**2\/2 - 3*k + 16. Does 3 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5998*v**4*z + 4*v*z**2 - z**2 - 4*z + 7852 wrt v?\nAnswer: -23992*v**3*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1204835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 732.\nAnswer: -13176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 3, s: 9, u: 5}. Give prob of picking 1 g, 1 s, and 2 l.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 + 7*h**4\/24 + 2*h**3\/3 - 4*h**2. Does 4 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**4\/24 + r**3\/6 - 9*r**2. Determine p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/527 and 67\/4836.\nAnswer: 82212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 78*s - 6. Let l(g) = g - 1. Give -2*a(b) + 12*l(b).\nAnswer: -144*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o**3 + 88*o**2 + 176*o + 114. Determine k(11).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/24 - 14*r**3\/3 + r**2. Let x be j(0). Let u be 1*(1 - x) + -3. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 102*q**3 + q**2\/2 - 102*q.\nAnswer: -q*(q - 204)*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/4)\/((-1)\/((-1)\/(-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196453919 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: Let q = 0.02 + 0.98. Which is the closest to q? (a) 1\/8 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331 + 342. Let i = -7 - -12. Calculate the remainder when b is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-45))\/((-1)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 7) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 163978*b + 4.\nAnswer: 163978*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27228550669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 132 + 72 = i, -3*h = 2*i - 24. Let x(d) = 1. Let s(v) = 2*v**2 + 25*v + 12. Let o(a) = -s(a) - 5*x(a). Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487180*0.2.\nAnswer: 97436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50311275 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/369739 (b) 8 (c) -15 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 10:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**4 + g**4 - 3*g**4 + g**5 + (-g + 0*g - g)*(-2*g**4 + 3*g**3 - 3*g**3) - 673*g + 673*g - 305*g**5.\nAnswer: -300*g**5 + 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2117*w**2 - 30*w**3 - 2117*w**2.\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 6400\/3*x + 1\/3*x**4 + 1499\/2*x**2 - 65\/2*x**3 - 1250 = 0.\nAnswer: -3, 1\/2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 8. Let b be u(-6). What is the common denominator of (-26)\/(-24)*(-36)\/(-16) and -23*b\/(-6) + 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3216\/335*10\/4. Solve 296*f - 302*f - t = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*x = 5*x + 60, 3*x = -5*a + 60. Is 4198*(6 + 0)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 28 = 0. Suppose 2 = 4*v - f - m, 3*v = -4*f + 2. Let g be (-1)\/(-1) + v\/(-2). Solve 1 = i - 2*j + 2, 4*i - 5*j + 1 = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86377 and 189023?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23688 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 255, 188, 71, -102, -337, -640?\n\"Answer: -a**3 - 19*a**2 - 3*a + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.173373, -1, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r + 3. Calculate l(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052085 rounded to three dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/9192 and -93\/12256.\nAnswer: 36768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxd when four letters picked without replacement from dddxqxqqdxqdxx?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2 + 900*u = 0.\nAnswer: 0, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q + 2*q + (q - 1 + 1)*(3 - 3 - 1) + (9*q + 5*q - 17*q)*(3 + 0 - 4).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405972 is divided by 378.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 2025.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*i = -5*y + 2, i = 3*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -0*b + 4*b - 91 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 34 = -17. Let z = 46 - n. Suppose 2*i - 3*t - z = 0, 0 = -2*i - t - 1 + 18. What is the remainder when 18 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.004845 grams?\nAnswer: 0.003004845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5157, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-726) + (-524)\/(-66) + 13 + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103 or 2558\/25?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:52 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - 4.87. Let s be 1\/5*2 - 0\/(-3). Which is the smallest value? (a) j (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 34 = -254. Is ((-8)\/10)\/((-53)\/v - 1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*j**2 - 245*j**2 - 12*j**3 - 71*j**2 - 246*j**2 + 14*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 239, 351, 461?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39961171.2 rounded to the nearest one thousand?\nAnswer: -39961000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 587 divided by 6726\nAnswer: 587\/6726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 17646*d**2 - 579484*d - 5766240.\nAnswer: -2*(d - 8790)*(d - 41)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 + 6*v - 5. Let y be g(4). Suppose y*j + 23 = -2*b - 4, -j + 5*b - 26 = 0. Is j at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*t + 4*c, -4*t + 3*t - c - 15 = 0. Suppose 2*k = -k + 42. Calculate the smallest common multiple of (-56)\/(-6) - t\/(-15) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*w**5 - 4*w**3 + 4*w**3) - 3*w**5 + 11*w - 11*w.\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2\/8*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4381, 1748, -2639, -8780, -16675?\nAnswer: -26324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 11*l - 10. Let k be c(-6). Calculate the lowest common multiple of 24\/2 - (-16)\/k and -2*((2 - -3) + -7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 5*k**2 + 5*k**2. Let d(a) = a. Give m(d(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -5*h + 93. 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: Simplify ((r**(-1)\/r)**(-26\/5)\/((r\/((r\/r**(-7))\/r*r))\/r**1))**(6\/25) assuming r is positive.\nAnswer: r**(552\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1060 - 726. Let y = u - 334.07. Which is the second biggest value? (a) -1\/2 (b) 0.01 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(1088) + sqrt(1088) + 0 + 5)*3)**2 - 4*(sqrt(1377) + ((-1 + sqrt(1377))*-4)**2)*2.\nAnswer: -136991 + 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1168906 * 9.\nAnswer: 10520154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/32 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15269, 15270, 15271, 15272, 15273?\n\"Answer: w + 15268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {m: 4, o: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7709343 centuries to years.\nAnswer: 77.09343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:37 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 - 506. Suppose -979 - 2017 = -d*o. Does 77 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.229 * -59.9.\nAnswer: -13.7171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15*v + 10 + 49 + 27*v - 74 + 9. Let b(k) = -28*k + 4. Determine -8*b(i) - 5*x(i).\nAnswer: 14*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*i = -i + 214, n = i + 50. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/3 - (-18)\/(-54). Suppose 2*c = -10*y + 5*y + 227, -3*c = -k*y + 200. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-12))\/(0 - 6\/(-24)). Solve z + z**2 + 1\/3 + r*z**3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 4159861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-1188))\/((-8)\/(-308))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19145.\nAnswer: 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 6*b. Let g(a) = -2*a**2 + a. Let h(i) = 6*g(i) + p(i). Let d(f) = -6*f - 13. Determine d(h(m)).\nAnswer: 30*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -19*z + 2*z**2 + 5*z**2 + 26*z + 3*z**2. Let d(b) = -28*b**2 - 20*b. Let t(l) = 6*d(l) + 17*o(l). Determine t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {z: 4, a: 6, g: 4, w: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10851923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 9. Let m(o) = 36*o**2. Calculate w(m(d)).\nAnswer: -144*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2 - -6) + (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbebbbbebbb. What is prob of sequence be?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102456 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-4)\/16*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6*y**2 - 2*y**2 + 8.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Differentiate 0*q**3 - 3*q**3 + 3 + 2*q**l wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-10) + -1)*0. Let a be ((-10)\/(-6))\/(i + (-1)\/(-63)). Calculate the highest common divisor of a and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870855.\nAnswer: 3, 5, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:48 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -2 + 0 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*i - 5 = -0, h - 3 = i. Suppose 4*o = h*c - c + 12, 4*o = -3*c + 47. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/7 - 579885*f - 4059198\/7.\nAnswer: 3*(f - 1353066)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8797 is divided by 352.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 7, a: 4}. Give prob of sequence acc.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20*p + 1. Let w be a(1). Suppose -w = -g + 5. Suppose -v + 9 = v - 3*y, 0 = v - 2*y - 3. Calculate the remainder when g is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 70436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3001943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3861, -3928, -3995?\n\"Answer: -67*w - 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 722*v + 1962*v - 1422*v to a*v + j and give a.\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49513, -49566, -49619, -49672, -49725?\n\"Answer: -53*d - 49460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2 = 68*i - 70*i, 3*v - 5*i = 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 2468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4723970 to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -908*x**5 - 37*x - 7 wrt x?\nAnswer: -18160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 7*w - 39*w = 37*w - 1940 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -0.06, 3\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9573875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(198)*3)\/sqrt(6))\/(sqrt(22)\/(sqrt(22)\/sqrt(176)))*1.\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 6 - 1, -5*g + i = -36. Suppose -10 = 2*y, 0 = 2*h - g*h - 5*y + 3360. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 57 = -0*x + x, -2*j + 46 = -2*x. What is the first derivative of -j + 19*p**3 + 3 + 16*p**4 - 19*p**3 wrt p?\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -283, -733, -1453, -2479?\nAnswer: -3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q = -473 - 455 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1097*u - 1102*u + 15 = 0. Solve 4*b + 10 = 3*v, u*b = -3*v - 1 + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Suppose -h = -m + 12195, -s*h - 5*m - 61015 = -2*m. What is h rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-2) + 0\/1. Let h(q) = -10*q + 2. Let l be h(f). Let z = l + -59. What is the remainder when 44 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.82363 months in decades?\nAnswer: 1.89853025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 363337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196783129?\nAnswer: 196783129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:59 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -603 + 60*c**3 + 601 + 12*c**3 in the form p*c**3 + r*c + f + b*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 870735727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:58 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/125807680 and -85\/6290384.\nAnswer: 125807680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 448, 449, 450, 451?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeelvveleeeeeelelel.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*j + 2*j + 18 = 0, a = 5*j + 18. Let g be (-2 - a)\/(0 - 2). Let h(w) = -4*w**3 + 3*w**2 - w - 1. Let s be h(1). Put 4, g, s in decreasing order.\nAnswer: 4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19081*m**5 - 123766*m**2 wrt m.\nAnswer: -1144860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/28 + 2\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/37344 and -47\/6224?\nAnswer: 37344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 51 = 21. Let j = y + -21. Calculate the greatest common divisor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 2*g + 4, -2*i - 763*g - 2 = -764*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 815715826 to the power of 1\/3, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**5 - 370*i**4 + 4297*i + 1.\nAnswer: 440*i**3 - 4440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(48\/28)*(-228)\/(-399)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -89. Suppose 2*h - 16 = -b*s, -4*s - 1 = -4*h - 9. Suppose -65 = -f - 5*n, 6*n - s*n = 2*f - 70. Calculate the greatest common divisor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*s + u, 0*s = 2*s - 5*u - 106. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2*p**2 - 6)*(-11*p - 24 + 19*p - 7*p) to the form m*p**2 + t*p + w*p**3 + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 648 = 3*n. Suppose 3*f + 103 - 265 = 0. What is the greatest common factor of n and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/((-1)\/243). Suppose 4*d - 41 = k - 2*k, 5*k - b = -d. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.032, -1, 7?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22\/147 - 9\/49. What is the biggest value in -29, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 1. Let w(x) = x. Give g(y) - w(y).\nAnswer: 7*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1956, -3055, -4902, -7503, -10864, -14991?\nAnswer: -19890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - 2) - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + (-7 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -43, 4, 5, 2 in increasing order.\nAnswer: -43, -22, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/(-196))*((-138)\/(-1863) - (-372)\/(-648)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 - 1 + b**3 + b + b + 5*b**2. Let w be s(-2). Suppose -w*p + 33 = p + u, 3*u = -5*p + 29. Solve -4*d - p*i + 3*i + 4 = 0, -2*d - 4*i = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*d - 50 - 26 + 124 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38437 and 135337?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x**(-6)*(x*x**(-5))\/x**8*(x**6*x**(-1\/2))**(-28) assuming x is positive.\nAnswer: x**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10411 and 2.\nAnswer: 20822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/2 - z**3\/3 - z**2\/2 - 4*z - 1. What is the remainder when m(3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 91 = 8*q. Solve 4*n - q = -5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 25, 0.81 in decreasing order.\nAnswer: 25, 0.81, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1742694?\nAnswer: -5\/1742694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 + 52*k**4 - 296*k**3 - 264*k**2 + 2340*k - 1836 = 0.\nAnswer: -17, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*i + 1307 + 1676 = 568 - 1820 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/5 (c) -175.5 (d) -3\/4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 235306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 22664*w**2 + 32. Let k(o) = 17*o**2. Give x(k(d)).\nAnswer: 6549896*d**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*j - 2*z - 836, -3*j = 2*z - 506. Let x = j - -2869. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -823.279?\nAnswer: -823.279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 5. Suppose -3*j = j - 40. Suppose -y = 4*w - 2*y - 59, w - 5*y - j = 0. Calculate the highest common factor of w and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 2*i**2 + 2*i**2 + (45*i - 54*i + 56*i)*(-2 + i + 2) + (3 + 1 - 3)*(-3*i**2 + 2*i**2 + 4*i**2) as s + h*i + t*i**2 and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384 - 105. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96007 * 0.15\nAnswer: -14401.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -5, 0, 7, 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - ((13 - 10 - 8) + 21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-10\/3)*y**8)\/(y**(-3)*y*y\/(y\/(y**11*y))))**(-6))**(5\/4) assuming y is positive.\nAnswer: y**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*k**4 + 65*k + 16500 wrt k?\nAnswer: 472*k**3 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 7*v = -210 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -475 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002385 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-136) - (-436)\/476.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxgm when four letters picked without replacement from {g: 1, x: 3, f: 2, m: 2, b: 11}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 + t**2 - 1. Let y be r(-1). Suppose 0*g - 3*g + y = 0. Suppose -9*i + 28*i = 0. Solve 0*v = 4*x + 2*v + g, i = -5*x - 3*v - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 121 - 27 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-39) + 576\/52. Solve -2*l + 7 = -19*q + 18*q, -3*q = 4*l + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 - 3*c**2. Is v(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -23*k**2 + 453*k\/2 = 0.\nAnswer: 0, 453\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12345 + 10?\nAnswer: 12355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 830*m**2 - 26 + 49 - 52*m**2 + m to z*m + k*m**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*l + 9 = -4, 4*l + 8 = 0. Suppose 0 = 5*n - h, -n - 2*n - 23 = -2*c. Let r = c - 8. Calculate the smallest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795c22 (base 15) in base 2?\nAnswer: -10110000101110010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 - 263. What is the remainder when 182 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6 - 5*k**2 + 7*k**2 + 0 + 5*k**2 + 8*k. Suppose -u + 3 = 8. Is 7 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (2 - 6) + 5. Suppose t*p - 144 = -4*n, 0*n = 3*p + 2*n - 107. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 94836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11415 - 20?\nAnswer: -11435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-100) + -1)\/((-2)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1107*g**2 + 2*g. Let m(k) = -521*k. Calculate m(x(p)).\nAnswer: 576747*p**2 - 1042*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 9) to base 16\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56619*n - 57402*n = -48546 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -77, -2, 4 in descending order.\nAnswer: 4, -2, -21, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f - 205 = 83 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 1. Let k(m) = -m + 3. Let y(c) = -k(c) - 2*v(c). What is the smallest common multiple of 6 and y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/(-1710))\/((-4)\/(-66))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 14*j**2 + 5*j - 11. What is s(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17673, -17685, -17727, -17817, -17973, -18213, -18555?\nAnswer: -19017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -516 - -512. Sort -0.1, b, -92, -2\/3 in decreasing order.\nAnswer: -0.1, -2\/3, b, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5176474*s**3 + 2*s**2 + 8057118?\nAnswer: -15529422*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399401.\nAnswer: 399401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26629 + 26629.016597. Round a to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -33*a + 3724. Calculate v(79).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 8:08 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-42))\/((-2)\/(-72)). Let y be 50\/(-125) - m\/10. Solve -y*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*i + 170 - 33*i**2 + 89*i**3 - 182 - 77*i**3.\nAnswer: 3*(i - 4)*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05748 * 0.4.\nAnswer: -0.022992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -475, -477, -471, -451, -411, -345, -247?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12937 and 163615.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1\/10, -214\/47?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*f + 1 - 48, -3*f = 5*l - 88. Let p be 25*(-4)\/l + (-144)\/(-24). Let 4\/17 - p*t**2 + 2\/17*t = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*(-4 + 23). Let d = -293 + 296. Let m be (-59)\/(1*(-9)\/d). Do i and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m + 6 - 1 + 1. Let o be c(3). List the prime factors of (o\/(-12))\/((-3)\/8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-48)\/(-90))\/(12\/(-10)). Which is the smallest value? (a) 1\/8 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 345. What is m(-53)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -5.8. Let j = 3.6 + -0.6. Which is the nearest to -0.1? (a) h (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 9 = -4*t, -6*d + 11*d = 5*t. Let x(c) = -c + 1. Let s(p) = -11*p**2 + 2*p - 4. Let k(j) = s(j) + 3*x(j). What is k(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 61 = h, 5*a = a - 8. Let v = -23 + h. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16984 is divided by 1092?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.11 - 0.11. Let n = 36 + -37. Let x = n + s. What is the biggest value in 2, 3\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 640*k*l**4*v + 3*k*l**3 - 2*k*l**2*v - 289*l**2 wrt l.\nAnswer: 15360*k*l*v + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135 divided by -427.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 1 + 23*p - 6 - 13.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = -3. Suppose 0*j = j - 4. Let g(i) = 12*i - 3 - j*i - 7*i. Determine g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10537470 and 60?\nAnswer: 21074940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/60 - (-33)\/30. Let v(o) = -3 + 11 - h + o - 3. Give v(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 5893762*o\/3 - 5893763\/3.\nAnswer: (o - 1)*(o + 5893763)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/7 - 102\/(-21). Suppose g*o = 2*o + 18. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(4 + 2*v**2 - 4) + (0*v + 0*v - 2*v)*(0 + 4 - 6)*(-2 - 2*v + 2) + (-2*v**2 - v**2 + 6*v**2)*(9 - 98 - 66)*(0 - 3 + 2).\nAnswer: 459*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 441986258 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: Let z be (-6)\/(-16)*2*(-4)\/36. Which is the third biggest value? (a) 0.2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = -9*v. Suppose 0*s + v = -2*s. Is 1\/7 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/(32\/(-112))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 6. Let a(y) = -y - 6. Let x be (-10)\/50*-10*(-20)\/(-8). Determine x*a(m) - 4*r(m).\nAnswer: -m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/(3\/(-120)). Let s = 15 + r. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132781 + -73464. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3)\/x**(1\/5))\/((x*x*x**(-6)*x)\/x**(-4\/7)) assuming x is positive.\nAnswer: x**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 24 = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a*a\/(a*a*a\/(a\/a**(-13)*a*a))*a*a)\/a))\/a*a*a**(-6\/7))**(-46) assuming a is positive.\nAnswer: a**(4784\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000278 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13 - 3*o - 2 + 5*o + o. Let t be b(7). Calculate the highest common divisor of t and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -111. What is the second smallest value in 5, 3, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j**2 - 94*j + 13. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(704) - (sqrt(704) - sqrt(704)*1))**2 + -2*sqrt(704) + 1.\nAnswer: -16*sqrt(11) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus -216836576?\nAnswer: 216836575.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2526.6381 to the nearest ten.\nAnswer: -2530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2862 + 3.1862. Put p, 2, -1.7, -4 in increasing order.\nAnswer: -4, -1.7, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 68713*n + 50739. Let w(r) = 11452*r + 8447. Let z(q) = 13*w(q) - 2*y(q). Differentiate z(t) with respect to t.\nAnswer: 11450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 6, -442, 167, -2 in increasing order.\nAnswer: -442, -2, 0, 5, 6, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -364.83305689 to 1 dp.\nAnswer: -364.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83117790 and 945.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 17 - 1 = 0. Let z be -2 - f\/(-7)*-4. Which is the second biggest value? (a) z (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 63726\/7092)*1492\/6. Let n = -26\/197 + m. Calculate the common denominator of n and 53\/444.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*t - 66 = -5*t, -2*t = 5*r - 82. Solve 0 = -4*n - 4*a + r, 0 = -3*n + 5*a + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4806 - 5108. What is the fourth biggest value in -3\/8, 2, i, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 + 158*a**3 + 6*a**2 - 24398*a - 88088 = 0.\nAnswer: -77, -11, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 195, 5 in descending order.\nAnswer: 195, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 60. Suppose -f = -4*u - b, -6*f - u + 100 = -2*f. Let p(q) = 6*q - 42. Does 9 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*-5*1\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p + 110 = -110. Sort -2, 1, 4, p.\nAnswer: p, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2109 = -66*i + 1911. Let s(q) = 12*q**2 + 3*q + 5. Give s(i).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -989*h = -994*h + 470. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3 + 1563*y**2 + 3130*y = 0?\nAnswer: -2, 0, 1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 1, y: 1, k: 2, d: 1, c: 1}. What is prob of picking 1 d and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t. Let j(i) = -i - 4*i + 4*i. Give c(j(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 7*n - 4. Let f be w(-6). Suppose f = -2*l + 4. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + x + 2*i - 9, x + 3*i = 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 198*p**2 - 9*p + 2768. Calculate the remainder when a(198) is divided by ((-4)\/(-6))\/((-4)\/(-78)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -714*f**6 - 2*f**4 - 416*f**2 wrt f.\nAnswer: -85680*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3\/9 + 64*v**2\/9 + 304*v\/9 + 320\/9 = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 505\/(-202)*8\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62733 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 847099775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8813 in 2\/13, 16\/193, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3441 + 3560. Solve -25*x - p + 19 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7) + 0 + -6 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76489 (base 10) in base 11?\nAnswer: 52516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.88. Let l = -0.02 - s. Which is the nearest to 0? (a) -3 (b) -2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:15 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - 336*r**2 + 4*r + 366*r**2 in the form q + k*r + x*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238.386 + 238. Let k = -7645 - -7645.52. Let h = k + y. Round h to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 218*a**7\/105 + 17*a**5\/60 + 35*a**4\/12 - 2793*a**2. What is the third derivative of d(i) wrt i?\nAnswer: 10464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 19*s + 5*b + 41 = 0, 20 = 2*s + 2*b for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(931) + -2*(sqrt(931) + 4)**2 - sqrt(931) - (5*sqrt(931)*2 + sqrt(931)))).\nAnswer: 945*sqrt(19) + 9465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 0)*(0*g + g - 4*g) + 2*g + 7 - 7 + (g - 3*g + 4*g)*(-1 - 2 + 2) + (-5*g + 2*g + 4*g)*(-3 - 9 + 3) + (-3*g + 6*g - 2*g)*(-2 + 3 + 1).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*p**2 + 60 + 9 - 9 + 2*p wrt p.\nAnswer: -102*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 8*h**2 - 9*h + 10. Let j be f(-9). Suppose -5*s + 5*a = j, s + 4*a = 6*s + 8. Suppose 27 = 3*z - s*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1688303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -500. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 less than -0.1494?\nAnswer: 4.4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4525 + -2863. What are the prime factors of w?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 5. Let d(y) = 7*y - 11. Let r(g) = 10*b(g) - 4*d(g). Let p = -12 + 20. Let z be r(p). Solve 5 = -3*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 78, 206, 398, 660, 998, 1418?\n\"Answer: m**3 + 23*m**2 - 6*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 859*f - 1716. Let n be k(2). Solve 2 = -2*y + 2*s, -2*y - 2*s - n = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/49 - 556\/539. Find the common denominator of 139\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52559 - -631843\/12. Is 96 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157886527*b*d**2 + 4*b*d - 21456*b - d - 22 wrt d.\nAnswer: -315773054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 123*z**3 - 136*z**3 - 10*z**5 + 42*z + 261*z**3 wrt z.\nAnswer: -200*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 50, 77, 114, 167, 242, 345?\n\"Answer: i**3 - 4*i**2 + 28*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -2*l**7\/105 - 3*l**6\/10 - 2*l**5 - 22*l**4\/3 - 16*l**3 + 3*l**2. Suppose k(g) = 0. What is g?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -685 from -1.43.\nAnswer: 683.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 + 247.533. Let w = 0 - -0.033. Let h = w - i. Which is the smallest value? (a) h (b) -0.9 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 - 2*u - 5. Let w be a(-6). Let o = w - -109. Solve o*k - 4*k = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 + 2. Let k be f(-6). Let l(i) = -i**3 + 7*i**2 + 8*i + 5. Let v be l(8). Differentiate -4 - k + 3*r + v - 5*r with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 152*p**3 + p**4 + 2 - 159*p**3 - 2*p to b*p**2 + f + x*p + u*p**3 + c*p**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/40 + a**4\/24 + a**3\/12 - 19*a**2. Suppose r(i) = 0. Calculate i.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -17. Suppose 0 = 2*i + 3*c - 9, -5*c = i - 6*i - k. Let r be 0 + i - (-1 + -13). Calculate the highest common factor of 56 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 + (-1)\/3). Let h be 2\/20 - (-221)\/(-10). Let p be 20\/((-1)\/1*(-23 - h)). Sort p, -4, d.\nAnswer: -4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99458014 smaller than -99458016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) + 21\/4. Let s = -12 + 12. Solve s = t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221464098?\nAnswer: 2, 3, 4101187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302580*x**3 + 432389280*x**2 + 3515345*x + 7145.\nAnswer: 5*(x + 1429)*(246*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 - 6*v - 3. Let t(y) = -8*y**2 - 6*y - 4. Calculate 3*m(l) - 2*t(l).\nAnswer: -11*l**2 - 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000182 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46407401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q*t*z - 273*q*t - 332*q*z**2 + 13*t*z**2 - 7*t + 37311 wrt q.\nAnswer: -3*t*z - 273*t - 332*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -333, -1086, -2553, -4974, -8589?\nAnswer: -13638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h - 3. Let b = 27 + -14. Let o be b + -10 + (-3 - 2). Give w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 28. Calculate u(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(5*sqrt(44))**2*-2 + 2).\nAnswer: -17596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -111103?\nAnswer: 111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11497337 + 2020615 = 3*b. Suppose 4*i = 1225984 - b. Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 4)\/(-24) - 185\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*o + 4 = 5, o = -2*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -7. Suppose 101 = 5*z + y. Let t = 24 - z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o**2 + 289221*o + 90746892 wrt o?\nAnswer: -14*o + 289221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - h = 22, -5*l + 4*h + 1429 = 1339 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13092 * 30211\nAnswer: 395522412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -5.5788.\nAnswer: -94.8396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*m = 5*m - 3, 0 = 2*x + 3*m + 2. Let p be (x\/4)\/(15\/(-180)). Suppose 0 = p*i - 44 - 70. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/((-12)\/15))\/(2 + -1). Let p be ((-63)\/(-15))\/((i\/5)\/15). Let v = 130 - p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/((x**(-1\/13)*x)\/x)))\/x)\/x)\/x)\/x*x\/(x**(-5)*x)*x*x*x\/(x*x**(2\/67))*(x\/(x*(x\/((x**13\/x)\/x)*x)\/x))\/x assuming x is positive.\nAnswer: x**(10359\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g - 44*g = -298*g + 20223 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, p: 14}. What is prob of sequence py?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/((-6630)\/(-1131)))\/((-1)\/5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -7*j**2\/2 - 2*j - 6. Let n(k) be the third derivative of -k**4\/12 - 2*k**2 - 70. Calculate u(n(c)).\nAnswer: 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.8+-0.03\nAnswer: 2.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 402991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = 5*k, -7 = -2*k + k - q. Suppose 3*b = -3 - k. Suppose 6*n = 8*n + 2*r + 4, 5*n + 1 = -2*r. Is n not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3480 - -4972. Let u = g + -1492. Factor 3\/2*b**3 + 0*b + u + b**2.\nAnswer: b**2*(3*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106980 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 6\/39 + 386\/26 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11 and -37\/3399.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 542\/7 + -78. Suppose -5*h + 10 = 0, 2*x - 4*h = 1007 - 2887. Let p be (-2)\/((-90)\/(-47)) - 416\/x. Sort -0.04, p, c in descending order.\nAnswer: -0.04, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 11) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 364*k**2 - 2*k - 13. Let s(j) = 2185*j**2 - 12*j - 78. Give -2*s(q) + 13*x(q).\nAnswer: 362*q**2 - 2*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020 (base 4) to base 6.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2022\/39 - (-47)\/((-13442)\/(-44)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 88.56. Let t = y - 0.06. Let u = -1.499996 + t. Round u to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + s + 11 = 0, 0 = o + 2*s - 3. Let v = o - -8. Suppose -v*w + 56 = w. What is the least common multiple of w and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -416, -879?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -13 + (-6 - 10 - -40).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4 + -5 + (64\/(-3))\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16659 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 2*k**5\/15 - k**3\/6 + 2*k**2 + 74*k - 11. Let j(i) = -6*i**2. Give f(j(t)).\nAnswer: 288*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111 (base 2) to base 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/55*(-12045)\/22. Let h = a + -53593\/198. What is the common denominator of h and 73\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q + 75. Let k be f(8). Factor -26*t**2 + 117*t**3 - 108*t**k + 426 + 15*t - 424.\nAnswer: (t - 2)*(t - 1)*(9*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s*s**(1\/13))\/(s**17\/s**(-3\/7)) assuming s is positive.\nAnswer: s**(-8441\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218457003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 2)*2\/(-4). Suppose 0 = -10*c + 8*c + 8. Suppose -n = -4*d - 2, v*n - 2*d - 40 = -c. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 11*j**2 - 3*j**2 - j + j - 2*j**2 + (2*j + 2 - 2)*(2*j - 2*j - j) + j**2 - 2*j**2 + 0*j**2 to the form a*j**2 + b*j + i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.1. Let i = -3560.1 + 3565.1. Let j be 5\/9 - (-8)\/(-12). What is the closest to -0.1 in j, i, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:57 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 479 + 106*h - 199*h - 140*h - 479 to the form p + y*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 34.3, 7008 in decreasing order.\nAnswer: 7008, 34.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14*o**3 - 13*o**2 - 27*o - 20. List the prime factors of l(-8).\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296304183 to the nearest integer?\nAnswer: 17213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 802024 divided by 2\nAnswer: 401012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**4 - 97*j**3 + 566*j**2 - 1096*j + 635. Let y(d) = -2*d**4 + 2*d**3 - d**2 - d + 2. Let r(a) = o(a) - 7*y(a). Solve r(g) = 0.\nAnswer: 1, 3, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 31*k + 22*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + (sqrt(150) - 2*sqrt(150)) - sqrt(150)) + sqrt(150))\/(sqrt(6)\/sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/35 and 9\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+14884\nAnswer: 14883.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -6. Let j be 66\/24 - 2\/z. Solve -h + 4 = 3*k, -j*k = 2*k - 5*h - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 620, 1275, 1930, 2585, 3240, 3895?\n\"Answer: 655*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -79, 5 in ascending order.\nAnswer: -79, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 - 2*q. Let r be w(-3). Let u be r\/(-21) - (-382)\/14. Suppose -z = -14 - u. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 132, -3\/218 in decreasing order.\nAnswer: 132, -3\/218, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.9695t to micrograms.\nAnswer: 896969500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 79 - ((-15 - 3) + -14 + (15 - -7))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**3 - 2*v**2 - v + 2. Let q be p(1). Sort q, 1, 0 in descending order.\nAnswer: q, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -31. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 3*s. What is the remainder when l(9) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 100. Let m be w(-20). Solve -3*f + m = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 251 (c) -0.08 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 43150?\nAnswer: 388350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 209236*m**4 + 2092496*m**3 - 6696116*m**2 + 7951698*m - 3138840 = 0.\nAnswer: -104628, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-46) - 3*(-42)\/(-138)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let a be 0 + h + 3 - -2. Suppose 1 + 17 = 5*n - q, -a*n - 4*q = -28. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 243384*z + 7404471432 = 0. Calculate z.\nAnswer: -60846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1347.511 and -1.\nAnswer: -1348.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - (-1)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 13.02. Let z = g - 12.6. Which is the closest to 0.4? (a) -2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Let m(q) = -4*q**3 + q - 4 - 2*q - 5*q**2 + 3*q**j - 3*q. What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let c(l) = 20*l**2. What is a(c(q))?\nAnswer: 800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(9)\/sqrt(3) - sqrt(3)) + (sqrt(3) - (-1*sqrt(27))\/sqrt(9))**2 - (0 + sqrt(6)\/(sqrt(2)*-2)))*-4.\nAnswer: -288 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {y: 1, k: 2, g: 2, d: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -31.\nAnswer: -31, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04254 rounded to three dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + -16)*(18 - -4). Which is smaller: j or -5078\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-6)\/18 - 762\/152. Which is the smallest value? (a) 1 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 540*f + 8784. Determine h(195).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 2*(226\/48*26 - (-36)\/432)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2\/5 (c) -5 (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7631578, 7631576, 7631572, 7631566, 7631558?\nAnswer: 7631548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31675)\/53214)\/((-50)\/6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04661, 5\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -40, -88, -160, -256?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/5 (c) 3 (d) 55486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2460 greater than -2465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.141900207 and 0.4.\nAnswer: -0.0567600828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from aaaaaaaaxaxaa?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 11*x**2 - 10*x + 5. Suppose 5*h - 6*o - 62 = -2*o, 4*h - 4*o = 52. Let b be t(h). Solve -b*c = 2 + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**3)\/(i\/i**(-14\/9)) assuming i is positive.\nAnswer: i**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 15*2\/(-5). Let v(h) = 8*h. Let j(g) = -4*g. Calculate d*j(q) + 3*v(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -358*h + 0*h**2 + 359*h - 5*h**2. Calculate i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 6aa?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -4 + (-38)\/(-8). Let t be -6*(-2 - ((-51)\/10 - -3)). Which is the second biggest value? (a) t (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -26*c**2. Let y(t) = -7649*t**2 - 7652*t**2 + 15304*t**2. Determine d(y(n)).\nAnswer: -234*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 5*x + 5*c, 5*x + c - 228 - 101 = 0. Let i = x - 43. Suppose 25 = l + i. Solve -h + l - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3.5, 1\/3, -1\/10, 155, -29, -4\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l = 19*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 12 = 0. Suppose 0 = 5*l + 3*b - 42, l + u*l + 2*b = 38. Let p(o) = o**2 + 2*o - 5. Calculate the remainder when p(l) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 325*x. Let z be (-1836)\/(-297) - ((-70)\/(-22) + -3). Let d(q) = 7 - z - q + 7 - 8. Determine d(r(m)).\nAnswer: -325*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 5) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4054 + -4068. Put 31, -1, i in decreasing order.\nAnswer: 31, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 2\/9, 4, 2\/405, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280500 and -1?\nAnswer: 280500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1204 and -103\/476.\nAnswer: 20468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54621306 (base 7) in base 11?\nAnswer: -2717013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 8*b**2 + 7*b - 4. Let s be k(7). Let t(y) = y**3 + 5*y**2 - y - 5. Let f be t(s). Solve 0 = 5*d - 5 + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38059862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let d = i - 2. Which is the closest to d? (a) 3 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16 + 5*z**2 - 16*z**2 + 14*z + 12*z**2. Let q be n(-13). Solve q*a + 12 = 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 194, 455, 808, 1247, 1766?\n\"Answer: -k**3 + 55*k**2 + 5*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + (-100)\/(-8). Suppose -9 = 2*u + 3*f, 3*f = 4*u - f - p. Let q = -48 + 43. Sort q, u, -3.\nAnswer: q, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 461 - 471.44. Round c to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-100) + (-498)\/(-20). Suppose -500 = -g*z + 21*z. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.402 take away 78317.4?\nAnswer: -78244.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*i + 112, 3*i + 2*i + 140 = 5*l. Suppose 4*d + l - 92 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114 - 12*q**3 - 109 + 2*q - 7*q**3 to the form g*q**3 + s + m*q + f*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -a + 67. What are the prime factors of a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 1. Let x(f) = -5*f**2. Determine x(i(b)).\nAnswer: -45*b**4 + 30*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11850 divided by 395.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 5*r - 2. Let a(b) = -6*b**2 + 4*b - 5. Let f(y) = -4*a(y) + 5*n(y). Determine f(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 272*n**3\/11 - 872*n**2\/11 + 832*n\/11 = 0. Calculate n.\nAnswer: 0, 2, 26\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1563 - 123?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((0 - 15\/45) + (-39)\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqtqqqt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - m = -1, 2*d - 4*m = -4. Let o(r) = r + 19. What is the units digit of o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1200141020?\nAnswer: 1200141031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(2 - 2 - 2) - 6 - 28 - 7)*(-18 + 2 + 3)*(-r - 3*r + 2*r)*(-1 - 2*r**3 + 1).\nAnswer: 1924*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*-2))*5)\/((sqrt(55)*2)\/sqrt(11))*1 + -4).\nAnswer: 8 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9 = -2*r, 5*r - 20*y = -15*y + 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -14. What is the highest common divisor of l and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -r - 1 + 8, -4*r + 22 = -5*k. Let z(u) = u**2 - 5. Let d be z(-3). Which is the closest to d? (a) 0 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1055 and 2743?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -0*a - 2*a - 8, a - 11 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8802 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, f: 4, q: 9}. Give prob of sequence mfff.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*i = -140*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*i + 185*i + 180 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 1)*2\/4. Let f be (-1 - -11)*3\/6. Suppose f*c - 11 = 9. Solve 0*z - 33 = c*d + 5*z, -o*d - z = 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*2*(-9)\/12. Solve -3*u - 9 = -2*o, 0 = -3*o - 8*u + 3*u - d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.18.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52709\/9930 + 8\/993. Let z = 7728601\/280 + -27602. What is the common denominator of u and z?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-7)\/2716*4). Sort 2\/9, -4\/9, 1, u in descending order.\nAnswer: 1, 2\/9, -4\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -54862, 0.04, -4\/5, 0 in decreasing order.\nAnswer: 0.04, 0, -4\/5, -1, -4, -54862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4002873 - -1840473. Round u to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2636183027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i - 6. Let h be y(5). Is 18 a factor of 1\/h + (-167)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42692 = -k - b, 5*k - 5*b + b = 213424. Let u = k + -1792741\/42. What is the common denominator of 61\/14 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(2\/21). Suppose -74 = -4*v + 3*v. What is the units digit of (-4)\/z + v\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 12*x + 11. Let v be h(-8). Let a be 4\/(-20) - v\/5. Calculate the common denominator of 35\/a + (-8)\/(-12) and 49\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 86 = -q - 31, 4*c - 59 = 3*q. What is the remainder when c is divided by -20*(-3 + (-33)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 15. Let n = -8 + b. Let -1\/3*j**n - 1\/3*j + 0 + 2\/3*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2860 and -43\/4290.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326739*p**2 + 299213*p - 2 wrt p?\nAnswer: 653478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((((s*s*s*s\/s**(-10))\/s)\/s)\/s)*s**(-1\/25)*s)**14 assuming s is positive.\nAnswer: s**(-3164\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(735\/10)*14\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 8 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23057 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o + 6. What is the remainder when 110\/22 + (1 - -9) is divided by (-6)\/9*21\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -73. Let r = -22 + a. Suppose 2*v - r = 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*q - 2, -4*j + 8 = 9*q - 10*q. Suppose l - j*l - 2*o + 28 = 0, 0 = -l - 4*o + 22. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10792*s**2 - 3094*s**2 - 4470*s**2 + (3*s + s - 3*s)*(3*s + 1 - 1) to g*s + f*s**2 + q and give f.\nAnswer: 3231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 51, 68, 85?\n\"Answer: 17*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/11)*d\/d**6)**(-6\/5)*(d**(1\/4))**5\/(d**(2\/7)*d*d\/d**(2\/13)) assuming d is positive.\nAnswer: d**(82809\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)\/((h*h\/h**(-10)*h*h*h)\/h) assuming h is positive.\nAnswer: h**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -139?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2132.77 - -2141. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 7*c - 4*c + 0*c - c + (-1 + 1 - 2*c)*(-3 + 0 + 4).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 9*b + 10. Suppose 2*j + 3*j - 4*q = -372, 369 = -5*j + 3*q. Let s = 65 + j. What is v(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - (-8)\/(-6). Let s = 0 - 0.2. Let r = -1.4 - -1.4. Which is the second biggest value? (a) r (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191 + -5156\/27. Suppose -7*i = -4*f - 4*i + 4, 0 = -2*f - 4*i + 2. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054\/632*(-6)\/(-195)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/9)\/((-8)\/(-36))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + -26 + 54 + 114.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 489*d**4 - 1902*d**3 - 68*d + 1902*d**3 wrt d?\nAnswer: -5868*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30e (base 15) in base 7?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/29*9\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let a be (1\/(-2))\/(5\/(-110)). Let g = 12 + a. Let w(f) = 48 - g - 25 - 3*f. What is b(w(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/8)*b**(-1\/4)\/b*b*b)\/(b\/b**2*b*b*b\/(b**(-2)*b)))**8 assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5762 is divided by 818?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4035, 4015, 3995, 3975, 3955, 3935?\n\"Answer: -20*l + 4055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -592 - -592. Is 6 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5 = -4*q, -2*q - 2 = -4*r + 8*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6790 is divided by 960.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 10*q + 9. Let g be x(6). Differentiate -13 - 2 - 14*f**2 - g*f**2 + 2 with respect to f.\nAnswer: -94*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*70\/(-25)*30\/24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1227262237, 1227262239, 1227262241, 1227262243?\n\"Answer: 2*g + 1227262235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 185.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-2)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-6)*(-32148)\/(-11609)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*l = 568, 0 = 2*u + 3*u - 2*l - 2866. Suppose 4*v + u = 2*g, -5*v - 690 - 30 = -3*g. Calculate the remainder when v\/2*(-8)\/12 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -32. Which is the closest to 2? (a) -2 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.3 (c) -11 (d) 2\/211 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g - 46. Calculate m(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjojjbrboobjb. What is prob of sequence jjjb?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 5*m + 2. Let z be q(-5). Suppose 0*o - z*o = -42. Let x(f) = -f**3 - 6*f**2 - f + 2. What is the remainder when o is divided by x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 8*t - 22, 5*q + 11 = 3*q + 5*t. What is the third biggest value in -4\/7, 4, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*j**2 + 7*j + 2 + 5\/4*j**3.\nAnswer: (j + 2)**2*(5*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48843.34 minutes to milliseconds.\nAnswer: 2930600400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23740235*c**3 - 14667490*c wrt c.\nAnswer: -142441410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3942*k - 11828. Let m be p(3). Let d = 2 + -1. Let j = 0.6 - d. Sort 2\/5, -5, j, m in ascending order.\nAnswer: -5, m, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101223021 + 0?\nAnswer: 101223021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10619275691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66009.5*-2.9.\nAnswer: -191427.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/14*12\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -34*p**3 + 10*p**2 - 8*p - 8. Let g(s) = -23*s**3 + 7*s**2 - 5*s - 5. Let q(i) = -8*g(i) + 5*v(i). Find the third derivative of q(y) wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(15 - (-1365)\/(-90))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.342 - -18.842. What is the closest to -5 in 0.4, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5004 (base 6) to base 12.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 + 42*f**2 - 46*f**2.\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3379861*q - 8*q**3 + 3379861*q + 6*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -665911771 or -665911772?\nAnswer: -665911771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.2. Let t = -236.07 + 236. What is the closest to -3 in t, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j - 4. Let y(d) = -1083*d + 2. Determine b(y(s)).\nAnswer: 6498*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-141)\/94*3*6\/(-378))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 3)*-3 + (sqrt(99)*5 + sqrt(99) + sqrt(99))*-6.\nAnswer: -144*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + w + 16094, -h + w + 4*w + 8029 = 0. List the prime factors of h.\nAnswer: 3, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19755 (b) -4\/9 (c) 0.0743\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {p: 4, c: 9, r: 4}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 1. Let f be d(5). Suppose -2*b + 6 = f. Let y(n) = -n + 1. Let m be y(b). Calculate the greatest common factor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 18) + (-3 - (0 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*f + 2. Let j be 36 + f\/(0 + 2). Let s = 37 + j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 248 = -460. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -49*y**3 - 490*y**2 + 1704*y + 17063. What is o(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133510722 and 767303?\nAnswer: 133510722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249556?\nAnswer: 2, 89, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 9}. What is prob of sequence ppdp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -999?\nAnswer: 7\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**3 + 9*m**3 + 0*m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 154 = -68*y, m + 2 = 5*y + 5*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6120*m**4 - 11900*m**2 - 423643083.\nAnswer: 24480*m**3 - 23800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 5*s**4\/6 - 7*s. Let l(h) = -3*h**2. Calculate l(u(n)).\nAnswer: -300*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vaprrrvfarrv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 - 297. Let n be (10\/(-15) - b\/15) + 1. Put 0.27, n, -2\/19 in ascending order.\nAnswer: n, -2\/19, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 8*r - 134. Is 9 a factor of z(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42289277\/(-3))\/((-4)\/12). Suppose 11389277 = 3*w + f. What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 3.89.\nAnswer: 4.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15618\/1233)\/((3\/6)\/((-6)\/4)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 2*p**7\/525 - p**6\/30 + p**5\/75 + 7*p**4\/10 - 12*p**3\/5 - 2*p**2 - 3*p. Suppose j(i) = 0. Calculate i.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815 + -729. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 16. Let l = 15 + -11. Let j(o) = 3*o + 15. Let a(k) = l*p(k) - 3*j(k). Let g be a(9). Solve -g - 5 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2550 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p - 9 - 2\/3*p**3 + 41\/4*p**4 + 1\/2*p**2. Does 10 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 - 905*j**2 + 1638050*j - 2964870500\/3.\nAnswer: (j - 1810)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69024220 or -69024218?\nAnswer: -69024220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 27*o - 25. List the prime factors of l(7).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -163. Which is the second smallest value? (a) 2\/241 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + n)*(117 - 18*n**2 - 117).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26506, 53024, 79518, 105976, 132386?\n\"Answer: -2*l**3 + 26532*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 60 = 3*t. Let o be t - (-20211)\/14515 - (-33)\/55. Let i = o - 361819\/139344. Calculate the common denominator of i and 93\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 317882*p + 4 + 316799*p as t + r*p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -903056, 7 in increasing order.\nAnswer: -903056, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose 3*y - 2*i - 22 = 0, -y - i + d*i + 2 = 0. Let r(o) = 3*o**3 - 3*o**2 + 2*o + 2. Calculate the remainder when r(2) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9954 and 1185?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.2. Let s = 1910 - 1909.6. What is the third biggest value in s, -1\/8, -4, f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, m: 2}. What is prob of sequence mx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*q + 6*q. Suppose -w + 2 = w - z, -q = -5*w - 5*z. Solve -w = 4*r - 5*r + y, r - 3*y - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -561 (base 9) to base 11\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + -6 + (-3)\/1. Let j = -117 + 1519\/13. Which is the nearest to u? (a) j (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 884*a**2 + 187*a - 466. Let o(m) = -19*m - 2. Calculate -2*j(w) - 187*o(w).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:15 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -11\/2. Let j = -2646.9 + 2844. Let d = -197 + j. What is the nearest to 0 in 1\/4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55254394 divided by 247.\nAnswer: -223702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - -21) - -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -5*p**4\/8 - 25*p**3\/6 - 3*p**2 + 6. Calculate the remainder when w(-8) is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 111*z = 141*z + 154, 0 = 3*m + z - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -347c (base 13) in base 4?\nAnswer: -1303022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 10. Let a be l(-13). Suppose -16 = -2*c - 4*x, 2*c + 3*c = -a*x + 12. Suppose c = f + 2*p - 8, 0*p - 3*p - 24 = -3*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8229, 11695, 15161, 18627, 22093, 25559?\n\"Answer: 3466*w + 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110501065 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 2624*y - 168192.\nAnswer: -4*(y + 72)*(y + 584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 11) to base 13.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}